Institut für Numerische und Angewandte Mathematik

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  • 2024 | Preprint
    ​ ​A convergent adaptive finite element stochastic Galerkin method based on multilevel expansions of random fields​
    Bachmayr, M.; Eigel, M.; Eisenmann, H.& Voulis, I. ​ (2024)
    ​Details 
  • 2024 | Preprint
    ​ ​Dynamic computerized tomography using inexact models and motion estimation​
    Gesa Sarnighausen; Anne Wald  & Alexander Meaney​ (2024)
    ​Details 
  • 2024 | Preprint
    ​ ​Fast spectroscopic imaging using extreme ultraviolet interferometry​
    Strauch, H. C.; Zhang, F.; Mathias, S. ; Hohage, T. ; Witte, S.& Jansen, G. S. M. ​ (2024)
    ​Details  arXiv 
  • 2024 | Preprint
    ​ ​A minimalist approach to 3D photoemission orbital tomography: algorithms and data requirements​
    Dinh, T. L.; Jansen, G. S. M. ; Luke, D. R.; Bennecke, W.& Mathias, S. ​ (2024)
    ​Details  arXiv 
  • 2024 | Preprint
    ​ ​Stochastic Algorithms for Large-Scale Composite Optimization: the Case of Single-Shot X-FEL Imaging​
    Luke, D. R. ; Schultze, S.& Grubmüller, H. ​ (2024)
    ​Details 
  • 2024 | Preprint
    ​ ​Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains: Geometry Error Analysis​
    Heimann, F.  & Lehrenfeld, C. ​ (2024)
    ​Details  arXiv 
  • 2024 | Preprint
    ​ ​A Higher Order Unfitted Space-Time Finite Element Method for Coupled Surface-Bulk problems​
    Heimann, F. ​ (2024)
    ​Details  arXiv 
  • 2024 | Preprint
    ​ ​LiveDocs: Crafting Interactive Development Environments From Research Findings​
    Costa Klein, P. ; Lehrenfeld, C. ; Osterhoff, M.  & Uecker, M. ​ (2024). DOI: https://doi.org/10.48550/ARXIV.2402.09475 
    ​Details  DOI  arXiv 
  • 2024 | Journal Article
    ​ ​Learning-Based Approaches for Reconstructions With Inexact Operators in nanoCT Applications​
    Lütjen, T.; Schönfeld, F.; Oberacker, A.; Leuschner, J.; Schmidt, M.; Wald, A.   & Kluth, T.​ (2024) 
    IEEE Transactions on Computational Imaging, 10 pp. 522​-534​.​ DOI: https://doi.org/10.1109/TCI.2024.3380319 
    ​Details  DOI 
  • 2023 | Preprint
    ​ ​Sub-Riemannian Random Walks: From Connections to Retractions​
    Herrmann, M.; Neumann, P.; Schwarz, S. ; Sturm, A.  & Wardetzky, M. ​ (2023)
    ​Details  arXiv 
  • 2023 | Conference Paper | 
    ​ ​The proximal point algorithm without monotonicity​
    Luke, D. R.   & Tam, M. K.​ (2023)
    In:Liu, Tianxiang; Yamashita, Makoto​ (Eds.), ​Proceedings of the 35th RAMP Mathematical Optimization Symposium pp. 39​-48. ​35th RAMP Mathematical Optimization Symposium​, Tokyo.
    Tokyo​: Research Association of Mathematical Programming.
    ​Details 
  • 2023 | Lecture
    ​ ​Slides for the CRC 1456 Research Retreat Session "Live-Docs and RDM: Reproducibility and beyond"​
    Costa Klein, P.; Lehrenfeld, C.  & Osterhoff, M.​ (2023)
    CRC 1456 Retreat; 2023-11-15​, Hofgeismar. DOI: https://doi.org/10.25625/PVFHWA 
    ​Details  DOI 
  • 2023 | Preprint
    ​ ​Ill-posedness of time-dependent inverse problems in Lebesgue-Bochner spaces​
    Martin Burger; Thomas Schuster& Anne Wald ​ (2023)
    ​Details 
  • 2023 | Preprint
    ​ ​Quantitative passive imaging by iterative holography: The example of helioseismic holography​
    Müller, B.; Hohage, T.; Fournier, D.& Gizon, L.​ (2023)
    ​Details  arXiv 
  • 2023 | Thesis | Bachelor Thesis | 
    ​ ​Classification of Fast Ice under Uncertainty​
    Siantidis, J. D. ​ (2023)
    Georg-August-Universität Göttingen. 
    Alfred-Wegener-Institute.
    ​Details 
  • 2023 | Journal Article | Research Paper
    ​ ​X-let’s Atom Combinations for Modeling and Denoising of OCT Images by Modified Morphological Component Analysis​
    Razavi, R. ; Plonka, G.   & Rabbani, H.​ (2023) 
    IEEE Transactions on Medical Imaging,.​ DOI: https://doi.org/10.1109/TMI.2023.3320977 
    ​Details  DOI 
  • 2023 | Journal Article | Research Paper
    ​ ​Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems​
    Heimann, F. ; Lehrenfeld, C. ; Stocker, P. & von Wahl, H.​ (2023) 
    Mathematical Modelling and Numerical Analysis, 57(5) pp. 2803​-2833​.​ DOI: https://doi.org/10.1051/m2an/2023064 
    ​Details  DOI  arXiv 
  • 2023 | Monograph | Textbook, Manual | 
    ​ ​Variational Numerical Analysis​ ​
    Luke, D. R. ​ (2023)
    ​Details 
  • 2023 | Preprint | 
    ​ ​Trefftz Discontinuous Galerkin discretization for the Stokes problem​
    Lederer, P. L.; Lehrenfeld, C.  & Stocker, P.​ (2023)
    ​Details  arXiv 
  • 2023 | Preprint | 
    ​ ​Analysis of divergence-preserving unfitted finite element methods for the mixed Poisson problem​
    Lehrenfeld, C. ; van Beeck, T.& Voulis, I. ​ (2023)
    ​Details  arXiv 
  • 2023 | Journal Article
    ​ ​Nonexpansive Markov Operators and Random Function Iterations for Stochastic Fixed Point Problems: ​Random Function Iterations for Stochastic Fixed Point Problems​
    Hermer, N.; Luke, D. R.   & Sturm, A.​ (2023) 
    Journal of Convex Analysis, 30(4) pp. 1073​-1114​.​
    ​Details  WoS  arXiv 
  • 2023 | Journal Article
    ​ ​Time-Continuous and Time-Discontinuous Space-Time Finite Elements for Advection-Diffusion Problems​
    von Danwitz, M.; Voulis, I. ; Hosters, N. & Behr, M.​ (2023) 
    International Journal for Numerical Methods in Engineering, 124(14).​ DOI: https://doi.org/10.1002/nme.7241 
    ​Details  DOI  arXiv 
  • 2023 | Preprint | 
    ​ ​Convergence in Distribution of Randomized Algorithms: The Case of Partially Separable Optimization​
    Luke, R.  & Luke, D. R. ​ (2023)
    ​Details  arXiv 
  • 2023 | Preprint
    ​ ​Heat kernel asymptotics for scaling limits of isoradial graphs​
    Schwarz, S. ; Sturm, A.  & Wardetzky, M. ​ (2023)
    ​Details  arXiv 
  • 2023 | Thesis | Master Thesis
    ​ ​Spectral Deferred Correction Methods for Spatially Discretized Flow Problems​
    Vishwabhakthi Kolombage, D. B.​ (2023)
    University of Göttingen.  DOI: https://doi.org/10.25625/3NRUW2 
    ​Details  DOI 
  • 2023 | Journal Article
    ​ ​The vector Helmholtz equation revisited: Inverse obstacle scattering​
    Kress, R. ​ (2023) 
    Journal of Mathematical Analysis and Applications, 519(2) art. 126821​.​ DOI: https://doi.org/10.1016/j.jmaa.2022.126821 
    ​Details  DOI 
  • 2023 | Journal Article
    ​ ​From ESPRIT to ESPIRA: estimation of signal parameters by iterative rational approximation​
    Derevianko, N. ; Plonka, G.   & Petz, M.​ (2023) 
    IMA Journal of Numerical Analysis,.​ DOI: https://doi.org/10.1093/imanum/drab108 
    ​Details  DOI 
  • 2023 | Journal Article
    ​ ​Spline representation and redundancies of one-dimensional ReLU neural network models​
    Plonka, G. ; Riebe, Y.   & Kolomoitsev, Y. ​ (2023) 
    Analysis and Applications, 21(01) pp. 127​-163​.​ DOI: https://doi.org/10.1142/S0219530522400103 
    ​Details  DOI 
  • 2023 | Journal Article | 
    ​ ​ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application​
    Derevianko, N. ; Plonka, G.   & Razavi, R. ​ (2023) 
    Numerical Algorithms,.​ DOI: https://doi.org/10.1007/s11075-022-01432-6 
    ​Details  DOI 
  • 2023 | Journal Article
    ​ ​Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains​
    Heimann, F. ; Lehrenfeld, C.   & Preuß, J.​ (2023) 
    SIAM Journal on Scientific Computing, 45(2) pp. B139​-B165​.​ DOI: https://doi.org/10.1137/22M1476034 
    ​Details  DOI  arXiv 
  • 2023 | Journal Article | Research Paper
    ​ ​A Semi-Bregman Proximal Alternating Method for a Class of Nonconvex Problems: Local and Global Convergence Analysis: ​Semi-Bregman Proximal Alternating Method​
    Cohen, E.; Pinta, T.; Sabach, S.; Teboulle, M. & Luke, D. R. ​ (2023) 
    Journal of Global Optimization,.​ DOI: https://doi.org/10.1007/s10898-023-01334-4 
    ​Details  DOI 
  • 2023 | Journal Article | Research Paper | 
    ​ ​Embedded Trefftz discontinuous Galerkin methods​
    Lehrenfeld, C.   & Stocker, P.​ (2023) 
    International Journal for Numerical Methods in Engineering,.​
    ​Details  arXiv 
  • 2023 | Journal Article | Research Paper
    ​ ​Efficient Random Walks on Riemannian Manifolds​
    Schwarz, S.; Herrmann, M.; Sturm, A. & Wardetzky, M. ​ (2023) 
    Foundations of Computational Mathematics,.​ DOI: https://doi.org/10.1007/s10208-023-09635-6 
    ​Details  DOI 
  • 2023 | Journal Article
    ​ ​Learning-Informed Parameter Identification in Nonlinear Time-Dependent PDEs​
    Aarset, C. ; Holler, M. & Nguyen, T. T. N.​ (2023) 
    Applied Mathematics & Optimization, 88(3).​ DOI: https://doi.org/10.1007/s00245-023-10044-y 
    ​Details  DOI 
  • 2023 | Journal Article
    ​ ​Research-Data Management Planning in the German Mathematical Community​
    Boege, T.; Fritze, R.; Görgen, C.; Hanselman, J.; Iglezakis, D.; Kastner, L. & Koprucki, T. et al.​ (2023) 
    EMS magazine, 130 pp. 40​-47​.​
    ​Details  arXiv 
  • 2023 | Journal Article | Research Paper | 
    ​ ​Rates of Convergence for Chains of Expansive Markov Operators: ​Expansive Markov Operators​
    Hermer, N.; Luke, D. R.   & Sturm, A.​ (2023) 
    Transactions of Mathematics and its Applications, 7(1) pp. 1​-31​.​ DOI: https://doi.org/10.1093/imatrm/tnad001 
    ​Details  DOI  arXiv 
  • 2022 | Preprint
    ​ ​Phase retrieval and phaseless inverse scattering with background information​
    Hohage, T. ; Novikov, R.& Sivkin, V.​ (2022)
    ​Details 
  • 2022 | Lecture | 
    ​ ​Slides for the hands-on mini-workshop session "Implementing portable development environments using containerization"​
    Costa Klein, P. ​ (2022)
    CRC1456-Workshop on portable development environments implementation using containerization; 2022-11-03​, Alte Sternwarte, Göttingen. DOI: https://doi.org/10.25625/IWIX0I 
    ​Details  DOI 
  • 2022 | Multimedia Production | Podcast Contribution
    ​ ​Folge 5: Anna​
    Sennewald, A. ​ (2022)
    CRCcast.
    ​Details 
  • 2022 | Preprint
    ​ ​Scaling of Radial Basis Functions​
    Larsson, E.& Schaback, R. ​ (2022)
    ​Details  arXiv 
  • 2022 | Preprint
    ​ ​A new T-compatibility condition and its application to the discretization of the damped time-harmonic Galbrun's equation​
    Halla, M. ; Lehrenfeld, C.  & Stocker, P.​ (2022)
    ​Details  arXiv 
  • 2022 | Multimedia Production | Podcast Contribution
    ​ ​Folge 4: Henrik​
    Sennewald, A. ​ (2022)
    CRCcast.
    ​Details 
  • 2022 | Research Data
    ​ ​Replication Data for: "Cavity-mediated electron-photon pairs"​
    Feist, A.; Huang, G.; Arend, G.; Yang, Y.; Henke, J.-W.; Raja, A. S.& Kappert, F. J. et al.​ (2022)
    ​GRO.data. DOI: https://doi.org/10.25625/K2A5IT 
    ​Details  DOI 
  • 2022 | Conference Paper
    ​ ​Detection of Retinal Abnormalities in OCT Images Using Wavelet Scattering Network​
    Baharlouei, Z.; Rabbani, H. & Plonka, G. ​ (2022)
    pp. 3862​-3865. ​2022 44th Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC)y Society. Annual International Conference​, Glasgow, Scotland. DOI: https://doi.org/10.1109/EMBC48229.2022.9871989 
    ​Details  DOI  PMID  PMC 
  • 2022 | Conference Paper
    ​ ​Automatic Classification of Macular Diseases from OCT Images Using CNN Guided with Edge Convolutional Layer​
    Esfahani, E. N.; Daneshmand, P. G.; Rabbani, H. & Plonka, G. ​ (2022)
    pp. 3858​-3861. ​44th Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC)​, Glasgow, Scotland. DOI: https://doi.org/10.1109/EMBC48229.2022.9871322 
    ​Details  DOI  PMID  PMC 
  • 2022 | Journal Article | Research Paper | 
    ​ ​Parameter identification for elliptic boundary value problems: an abstract framework and applications​
    Hoffmann, H.; Wald, A.   & Nguyen, T. T. N.​ (2022) 
    Inverse Problems, 38(7).​ DOI: https://doi.org/10.1088/1361-6420/ac6d02 
    ​Details  DOI 
  • 2022 | Journal Article | Research Paper | 
    ​ ​Regularization of ill-posed problems involving constant-coefficient pseudo-differential operators​
    Karimi, M. ​ (2022) 
    Inverse Problems, 38(5).​ DOI: https://doi.org/10.1088/1361-6420/ac5ac8 
    ​Details  DOI 
  • 2022 | Preprint
    ​ ​Small Errors Imply Large Instabilities​
    Schaback, R. ​ (2022)
    ​Details  arXiv 
  • 2022 | Thesis | Master Thesis
    ​ ​Robust Finite Element Discretizations for a PDE arising in Helioseismology​
    Alemán, T.​ (2022)
    University of Göttingen.  DOI: https://doi.org/10.25625/1GBYXP 
    ​Details  DOI 
  • 2022 | Multimedia Production | Podcast Contribution
    ​ ​Folge 3: Annemarie​
    Sennewald, A. ​ (2022)
    CRCcast.
    ​Details 
  • 2022 | Thesis | Master Thesis
    ​ ​Model Order Reduction for incompressible flows based on structure preserving discretizations​
    Rai, P.​ (2022)
    University of Göttingen.  DOI: https://doi.org/10.25625/MODHP4 
    ​Details  DOI 
  • 2022 | Thesis | Master Thesis
    ​ ​Monolithic Unfitted Space-Time FEM for an Osmotic Cell Swelling Problem​
    Wendler, A. C.​ (2022)
    University of Göttingen.  DOI: https://doi.org/10.25625/0KPEON 
    ​Details  DOI 
  • 2022 | Thesis | Master Thesis
    ​ ​Pure Eulerian unfitted FEM for Biological Fluid-Structure Interaction Problems​
    Kemper, M.​ (2022)
    University of Göttingen.  DOI: https://doi.org/10.25625/DYUGCA 
    ​Details  DOI 
  • 2022 | Multimedia Production | Podcast Contribution
    ​ ​Folge 2: Jakob​
    Sennewald, A. ​ (2022)
    CRCcast.
    ​Details 
  • 2022 | Journal Article
    ​ ​Approximation by quasi-interpolation operators and Smolyak's algorithm​
    Kolomoitsev, Y. ​ (2022) 
    Journal of Complexity, 69 art. S0885064X2100056X​.​ DOI: https://doi.org/10.1016/j.jco.2021.101601 
    ​Details  DOI 
  • 2022 | Preprint
    ​ ​On generalized $K$-functionals in $L_p$ for $0​
    Kolomoitsev, Y.  & Lomako, T.​ (2022). DOI: https://doi.org/10.48550/ARXIV.2211.12564 
    ​Details  DOI 
  • 2022 | Preprint
    ​ ​Sharp $L_p$-error estimates for sampling operators​
    Kolomoitsev, Y.  & Lomako, T.​ (2022). DOI: https://doi.org/10.48550/ARXIV.2202.05034 
    ​Details  DOI 
  • 2022 | Software
    ​ ​Samsara​
    Luke, David Russell  (2022)
    ​Details 
  • 2022 | Journal Article
    ​ ​Variational convergence of discrete elasticae​
    Scholtes, S.; Schumacher, H. & Wardetzky, M. ​ (2022) 
    IMA Journal of Numerical Analysis, 42(1) pp. 300​-332​.​ DOI: https://doi.org/10.1093/imanum/draa084 
    ​Details  DOI 
  • 2022 | Research Data
    ​ ​Replication Data for: Robust finite element discretizations for a simplified Galbrun's equation​
    Alemán, T.; Halla, M. ; Lehrenfeld, C.  & Stocker, P.​ (2022)
    ​Göttingen Research Online / Data. DOI: https://doi.org/10.25625/9VR9WT 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​Frame soft shrinkage operators are proximity operators​
    Geppert, J. A. & Plonka, G. ​ (2022) 
    Applied and Computational Harmonic Analysis, 57 pp. 185​-200​.​ DOI: https://doi.org/10.1016/j.acha.2021.12.001 
    ​Details  DOI 
  • 2022 | Book Chapter
    ​ ​A Classification Algorithm for Anomaly Detection in Terahertz Tomography​
    Meiser, C.; Schuster, T.& Wald, A. ​ (2022)
    In:​Lirkov, Ivan; Margenov, Svetozar​ (Eds.), Large-Scale Scientific Computing pp. 393​-401. ​Cham: ​Springer. DOI: https://doi.org/10.1007/978-3-030-97549-4_45 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​Retinal optical coherence tomography image analysis by a restricted Boltzmann machine​
    Ezhei, M.; Rabbani, H. & Plonka, G. ​ (2022) 
    Biomedical Optics Express, 13(9) pp. 4539​-4558​.​ DOI: https://doi.org/10.1364/BOE.458753 
    ​Details  DOI  WoS 
  • 2022 | Journal Article
    ​ ​Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains​
    Lou, Y. & Lehrenfeld, C. ​ (2022) 
    SIAM Journal on Numerical Analysis, 60(4) pp. 2069​-2098​.​ DOI: https://doi.org/10.1137/21M142126X 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​A method for determining the parameters in a rheological model for viscoelastic materials by minimizing Tikhonov functionals​
    Rothermel, R.; Panfilenko, W.; Sharma, P.; Wald, A. ; Schuster, T.; Jung, A. & Diebels, S.​ (2022) 
    Applied Mathematics in Science and Engineering, 30(1) pp. 141​-165​.​ DOI: https://doi.org/10.1080/17415977.2022.2026943 
    ​Details  DOI 
  • 2022 | Conference Paper
    ​ ​Combining Non-Data-Adaptive Transforms for OCT Image Denoising by Iterative Basis Pursuit​
    Razavi, R. ; Rabbani, H. & Plonka, G. ​ (2022)
    pp. 2351​-2355. ​2022 IEEE International Conference on Image Processing (ICIP)​, Bordeaux, France. DOI: https://doi.org/10.1109/ICIP46576.2022.9897319 
    ​Details  DOI 
  • 2022 | Journal Article | Research Paper
    ​ ​On numerical aspects of parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging​
    Nguyen, T. T. N. & Wald, A. ​ (2022) 
    Inverse Problems and Imaging, 0(0) pp. 0​.​ DOI: https://doi.org/10.3934/ipi.2021042 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​Radial Complex Scaling for Anisotropic Scalar Resonance Problems​
    Halla, M. ​ (2022) 
    SIAM Journal on Numerical Analysis, 60(5) pp. 2713​-2730​.​ DOI: https://doi.org/10.1137/21M1455747 
    ​Details  DOI 
  • 2022 | Thesis | Bachelor Thesis
    ​ ​The Virtual Element Method for Poisson’s equation in two-space dimensions​
    Kahle, A.​ (2022) DOI: https://doi.org/10.25625/KQUHR4 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​Reconstruction of Connected Digital Lines Based on Constrained Regularization​
    Lashgari, M.; Rabbani, H.; Plonka, G.   & Selesnick, I.​ (2022) 
    IEEE Transactions on Image Processing, 31 pp. 5613​-5628​.​ DOI: https://doi.org/10.1109/TIP.2022.3197991 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients​
    Derevianko, N.   & Plonka, G. ​ (2022) 
    Analysis and Applications, 20(3) pp. 543​-577​.​ DOI: https://doi.org/10.1142/S0219530521500196 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​Error estimates for variational regularization of inverse problems with general noise models for data and operator​
    Hohage, T.   & Werner, F.​ (2022) 
    Electronic Transactions on Numerical Analysis, 57 pp. 127​-152​.​ DOI: https://doi.org/10.1553/etna_vol57s127 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​Convergence rates for oversmoothing Banach space regularization​
    Miller, P. & Hohage, T. ​ (2022) 
    Electronic Transactions on Numerical Analysis, 57 pp. 101​-126​.​ DOI: https://doi.org/10.1553/etna_vol57s101 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​Helicoids and vortices​
    Chen, H. & Freese, D.​ (2022) 
    Proceedings of the Royal Society of London. Series A, Mathematical, Physical and Engineering Sciences, 478(2267) art. 20220431​.​ DOI: https://doi.org/10.1098/rspa.2022.0431 
    ​Details  DOI 
  • 2022 | Journal Article | 
    ​ ​NGSTrefftz: Add-on to NGSolve for Trefftzmethods​
    Stocker, P.​ (2022) 
    The Journal of Open Source Software, 7(71) pp. 4135​.​ DOI: https://doi.org/10.21105/joss.04135 
    ​Details  DOI 
  • 2022 | Journal Article | 
    ​ ​Uniform approximation by multivariate quasi-projection operators​
    Kolomoitsev, Y.   & Skopina, M.​ (2022) 
    Analysis and Mathematical Physics, 12(2) art. 68​.​ DOI: https://doi.org/10.1007/s13324-022-00665-x 
    ​Details  DOI 
  • 2022 | Journal Article | 
    ​ ​Learned Anomaly Detection with Terahertz Radiation in Inline Process Monitoring​
    Meiser, C.; Wald, A.   & Schuster, T.​ (2022) 
    Sensing and Imaging, 23(1).​ DOI: https://doi.org/10.1007/s11220-022-00402-5 
    ​Details  DOI 
  • 2022 | Journal Article | Research Paper | 
    ​ ​α -Firmly nonexpansive operators on metric spaces​
    Bërdëllima, A.; Lauster, F. & Luke, D. R. ​ (2022) 
    Journal of Fixed Point Theory and Applications, 24(1) art. 14​.​ DOI: https://doi.org/10.1007/s11784-021-00919-4 
    ​Details  DOI 
  • 2022 | Lecture | 
    ​ ​Slides of the RDM Workshop for the CRC1456 from 2022-09-26 and 2022-09-27​
    Henne, T.; Bingert, S. ; Klein, P. C.& Müller, J. Müller, Jan-Hendrik Müller​ (2022)
    RDM Workshop for the CRC1456; 2022​, Göttingen. DOI: https://doi.org/10.25625/V3TVRB 
    ​Details  DOI 
  • 2022 | Other Publication Type | 
    ​ ​Data policy for CRC 1456​
    Lehrenfeld, C. ; Hohage, T. ; Uecker, M. ; Henne, T. ; Holme, H. C. M.  & Rügge, C. ​ (2022)
    ​Göttingen: ​GRO.data. DOI: https://doi.org/10.25625/42GS0I 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​A Mollifier Approach to the Deconvolution of Probability Densities​
    Hohage, T. ; Maréchal, P.; Simar, L. & Vanhems, A.​ (2022) 
    Econometric Theory, pp. 1​-40​.​ DOI: https://doi.org/10.1017/S0266466622000457 
    ​Details  DOI 
  • 2022 | Conference Paper
    ​ ​Robust finite element discretizations for a simplified Galbrun's equation​
    Aleman, T.; Halla, M. ; Lehrenfeld, C.   & Stocker, P.​ (2022)
    ​8th European Congress on Computational Methods in Applied Sciences and Engineering​, Oslo.
    Scipedia. DOI: https://doi.org/10.23967/eccomas.2022.206 
    ​Details  DOI  arXiv 
  • 2022 | Journal Article | 
    ​ ​Segmentation of backscattered electron images of geopolymers using convolutional autoencoder network​
    Sheiati, S.; Behboodi, S.   & Ranjbar, N.​ (2022) 
    Expert Systems with Applications, 206 art. 117846​.​ DOI: https://doi.org/10.1016/j.eswa.2022.117846 
    ​Details  DOI 
  • 2022 | Journal Article | 
    ​ ​An adaptive stochastic Galerkin method based on multilevel expansions of random fields: Convergence and optimality​
    Bachmayr, M. & Voulis, I. ​ (2022) 
    ESAIM: Mathematical Modelling and Numerical Analysis, 56(6) pp. 1955​-1992​.​ DOI: https://doi.org/10.1051/m2an/2022062 
    ​Details  DOI  arXiv 
  • 2022 | Journal Article
    ​ ​Formation of moiré interlayer excitons in space and time​
    Schmitt, D.; Bange, J. P.; Bennecke, W.; AlMutairi, A.; Meneghini, G.; Watanabe, K. & Taniguchi, T. et al.​ (2022) 
    Nature, 608(7923) pp. 499​-503​.​ DOI: https://doi.org/10.1038/s41586-022-04977-7 
    ​Details  DOI 
  • 2021 | Research Data
    ​ ​Replication Data for: "Integrated photonics enables continuous-beam electron phase modulation"​
    Henke, J.-W.; Raja, A. S.; Feist, A.; Huang, G.; Arend, G.; Yang, Y.& Kappert, F. J. et al.​ (2021)
    ​GRO.data. DOI: https://doi.org/10.25625/KFRR7A 
    ​Details  DOI 
  • 2021 | Multimedia Production | Podcast Contribution
    ​ ​Folge 1: Jan-Niklas​
    Sennewald, A. ​ (2021)
    CRCcast.
    ​Details 
  • 2021 | Thesis | Doctoral Thesis
    ​ ​Learned infinite elements for helioseismology​
    Preuß, J.​ (2021)
    University of Göttingen. 
    ​Details 
  • 2021 | Multimedia Production | Podcast Contribution
    ​ ​Folge 3: Florian​
    Sennewald, A. ​ (2021)
    RTGcast.
    ​Details 
  • 2021 | Thesis | Master Thesis
    ​ ​An HDG method for the Spalart-Allmaras model​
    Schmid, A.​ (2021)
    University of Göttingen. 
    ​Details 
  • 2021 | Multimedia Production | Podcast Contribution
    ​ ​Folge 2: Inge​
    Sennewald, A. ​ (2021)
    RTGcast.
    ​Details 
  • 2021 | Journal Article | 
    ​ ​Maximal spaces for approximation rates in ℓ1-regularization​
    Miller, P. & Hohage, T.​ (2021) 
    Numerische Mathematik, 149(2) pp. 341​-374​.​ DOI: https://doi.org/10.1007/s00211-021-01225-4 
    ​Details  DOI 
  • 2021 | Multimedia Production | Podcast Contribution
    ​ ​Folge 1: Marcel​
    Sennewald, A. ​ (2021)
    RTGcast.
    ​Details 
  • 2021 | Journal Article | Research Paper | 
    ​ ​Convergence of proximal splitting algorithms in CAT(κ) spaces and beyond​
    Lauster, F. & Luke, D. R.​ (2021) 
    Fixed Point Theory and Algorithms for Sciences and Engineering, 2021(1) art. 13​.​ DOI: https://doi.org/10.1186/s13663-021-00698-0 
    ​Details  DOI 
  • 2021 | Preprint
    ​ ​$H$-Sets for Kernel-Based Spaces​
    Schaback, R. ​ (2021)
    ​Details  arXiv 
  • 2021 | Thesis | Master Thesis
    ​ ​Boundary layer enriched Hybrid Discontinuous Galerkin Methods for Convection dominated flow​
    Ibrahim, A. Q.​ (2021)
    University of Göttingen. 
    ​Details 
  • 2021 | Journal Article | 
    ​ ​Exact reconstruction of sparse non-harmonic signals from their Fourier coefficients​
    Petz, M.; Plonka, G. & Derevianko, N.​ (2021) 
    Sampling Theory, Signal Processing, and Data Analysis, 19(1).​ DOI: https://doi.org/10.1007/s43670-021-00007-1 
    ​Details  DOI 
  • 2021 | Preprint
    ​ ​α-Firmly Nonexpansive Operators on Metric Spaces​
    Bërdëllima, A.; Lauster, F.& Luke, D. R. ​ (2021)
    ​Details  arXiv 
  • 2021 | Preprint
    ​ ​On the approximation of dispersive electromagnetic eigenvalue problems in 2D​
    Halla, M. ​ (2021)
    ​Details  arXiv 
  • 2021 | Journal Article | 
    ​ ​Deterministic Sparse Sublinear FFT with Improved Numerical Stability​
    Plonka, G. & von Wulffen, T.​ (2021) 
    Results in Mathematics, 76(2).​ DOI: https://doi.org/10.1007/s00025-020-01330-0 
    ​Details  DOI  arXiv 
  • 2021 | Preprint
    ​ ​Sparse grid approximation in weighted Wiener spaces​
    Kolomoitsev, Y. ; Lomako, T.& Tikhonov, S.​ (2021). DOI: https://doi.org/10.48550/ARXIV.2111.06335 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​Approximation properties of periodic multivariate quasi-interpolation operators​
    Kolomoitsev, Y.   & Prestin, J.​ (2021) 
    Journal of Approximation Theory, 270 art. 105631​.​ DOI: https://doi.org/10.1016/j.jat.2021.105631 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains​
    von Wahl, H.; Richter, T. & Lehrenfeld, C. ​ (2021) 
    IMA Journal of Numerical Analysis,.​ DOI: https://doi.org/10.1093/imanum/drab044 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​Hardy–Littlewood and Ulyanov inequalities​
    Kolomoitsev, Y.   & Tikhonov, S.​ (2021) 
    Memoirs of the American Mathematical Society, 271(1325).​ DOI: https://doi.org/10.1090/memo/1325 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​Optimal Rank‐1 Hankel Approximation in the Spectral Norm for Matrices with Multiple Largest Eigenvalue​
    Knirsch, H.​ (2021) 
    Proceedings in Applied Mathematics and Mechanics, 21(1).​ DOI: https://doi.org/10.1002/pamm.202100012 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​The DB Boundary Condition in Electromagnetic Scattering Revisited​
    Kress, R. ​ (2021) 
    SIAM Journal on Mathematical Analysis, 53(3) pp. 3661​-3680​.​ DOI: https://doi.org/10.1137/20M1380144 
    ​Details  DOI 
  • 2021 | Software
    ​ ​ngsxfem​ 2.0​
    Lehrenfeld, Christoph; Heimann, Fabian; Preuß, Janosch; von Wahl, Henry  (2021) DOI: https://doi.org/10.5281/zenodo.5081123 
    ​Details  DOI 
  • 2021 | Journal Article | Research Paper
    ​ ​On the Well-posedness of the Damped Time-harmonic Galbrun Equation and the Equations of Stellar Oscillations​
    Halla, M.   & Hohage, T. ​ (2021) 
    SIAM Journal on Mathematical Analysis, 53(4) pp. 4068​-4095​.​ DOI: https://doi.org/10.1137/20M1348558 
    ​Details  DOI 
  • 2021 | Book Chapter
    ​ ​Modifications of Prony’s Method for the Recovery and Sparse Approximation with Generalized Exponential Sums​
    Keller, I.& Plonka, G. ​ (2021)
    In:​Fasshauer, Gregory E.; Neamtu, Marian; Schumaker, Larry L.​ (Eds.), Approximation Theory XVI pp. 123​-152. ​Cham: ​Springer. DOI: https://doi.org/10.1007/978-3-030-57464-2_7 
    ​Details  DOI 
  • 2021 | Book Chapter
    ​ ​Parameter Identification for the Landau–Lifshitz–Gilbert Equation in Magnetic Particle Imaging​
    Kaltenbacher, B.; Nguyen, T. T. N.; Wald, A.  & Schuster, T.​ (2021)
    In:​Kaltenbacher, Barbara; Schuster, Thomas; Wald, Anne​ (Eds.), Time-dependent Problems in Imaging and Parameter Identification pp. 377​-412. ​Cham: ​Springer. DOI: https://doi.org/10.1007/978-3-030-57784-1_13 
    ​Details  DOI 
  • 2021 | Book Chapter
    ​ ​Sequential Subspace Optimization for Recovering Stored Energy Functions in Hyperelastic Materials from Time-Dependent Data​
    Klein, R.; Schuster, T.& Wald, A. ​ (2021)
    In:​Kaltenbacher, Barbara; Schuster, Thomas; Wald, Anne​ (Eds.), Time-dependent Problems in Imaging and Parameter Identification pp. 165​-190. ​Cham: ​Springer. DOI: https://doi.org/10.1007/978-3-030-57784-1_6 
    ​Details  DOI 
  • 2021 | Anthology
    ​ ​Time-Dependent Problems in Imaging and Parameter Identification​ ​(1. ed.) 
    Kaltenbacher, B.; Schuster, T.& Wald, A. ​ (Eds.) (2021)
    Cham: ​Springer.
    ​Details 
  • 2021 | Journal Article
    ​ ​Variational regularization theory based on image space approximation rates​
    Miller, P.​ (2021) 
    Inverse Problems, 37(6) pp. 065003​.​ DOI: https://doi.org/10.1088/1361-6420/abf5bb 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​Approximation by multivariate quasi-projection operators and Fourier multipliers​
    Kolomoitsev, Y.   & Skopina, M.​ (2021) 
    Applied Mathematics and Computation, 400 art. 125955​.​ DOI: https://doi.org/10.1016/j.amc.2021.125955 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​The Difference between Optimal Rank‐1 Hankel Approximations in the Frobenius Norm and the Spectral Norm​
    Knirsch, H.; Petz, M. & Plonka, G. ​ (2021) 
    Proceedings in Applied Mathematics and Mechanics, 20(1).​ DOI: https://doi.org/10.1002/pamm.202000085 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​Asymptotics of the Lebesgue constants for bivariate approximation processes​
    Kolomoitsev, Y.   & Lomako, T.​ (2021) 
    Applied Mathematics and Computation, 403 art. 126192​.​ DOI: https://doi.org/10.1016/j.amc.2021.126192 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​Iterative Sparse FFT for M‐sparse Vectors: Deterministic versus Random Sampling​
    Plonka, G.   & von Wulffen, T.​ (2021) 
    Proceedings in Applied Mathematics and Mechanics, 20(1).​ DOI: https://doi.org/10.1002/pamm.202000134 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​Rational Functions for the Reconstruction of Exponential Sums from their Fourier Coefficients​
    Petz, M.; Plonka, G.   & Derevianko, N. ​ (2021) 
    Proceedings in Applied Mathematics and Mechanics, 21(1).​ DOI: https://doi.org/10.1002/pamm.202100078 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​Optimal rank-1 Hankel approximation of matrices: Frobenius norm and spectral norm and Cadzow's algorithm​
    Knirsch, H.; Petz, M. & Plonka, G. ​ (2021) 
    Linear Algebra and its Applications, 629 pp. 1​-39​.​ DOI: https://doi.org/10.1016/j.laa.2021.07.004 
    ​Details  DOI 
  • 2021 | Research Data
    ​ ​Replication Data for: Learned infinite elements​
    Hohage, T. ; Lehrenfeld, C.  & Preuß, J.​ (2021)
    ​Göttingen Research Online / Data. DOI: https://doi.org/10.25625/XPLPRR 
    ​Details  DOI 
  • 2021 | Lecture
    ​ ​Slides of the RDM Workshop for the CRC1456 from 2021-06-21 and 2021-06-28​
    Gnadt, T.; Uecker, M.; Lehrenfeld, C. ; Rügge, C.& Holme, H. C. M.​ (2021)
    RDM Workshop for the CRC1456 2021; 2021​, Göttingen. DOI: https://doi.org/10.25625/MIWPNO 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​Weighted data spaces for correlation-based array imaging in experimental aeroacoustics​
    Raumer, H.-G. ; Spehr, C.; Hohage, T.   & Ernst, D.​ (2021) 
    Journal of Sound and Vibration, 494 pp. 115878​.​ DOI: https://doi.org/10.1016/j.jsv.2020.115878 
    ​Details  DOI 
  • 2021 | Thesis | Bachelor Thesis
    ​ ​On a Discontinuous Galerkin discretization for a degenerate diffusion equation​
    van Beeck, T.​ (2021)
    Göttingen Research Online / Data. DOI: https://doi.org/10.25625/IVAWJM 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​An Approximation Theorist’s view on solving operator equations—With special attention to Trefftz, MFS, MPS, and DRM methods​
    Schaback, R. ​ (2021) 
    Computers & Mathematics with Applications, 88 pp. 70​-77​.​ DOI: https://doi.org/10.1016/j.camwa.2019.09.005 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​Locking-Free and Gradient-Robust ${\varvec{H}}({{\,\mathrm{{\text {div}}}\,}})$-Conforming HDG Methods for Linear Elasticity​
    Fu, G.; Lehrenfeld, C. ; Linke, A. & Streckenbach, T.​ (2021) 
    Journal of Scientific Computing, 86(3).​ DOI: https://doi.org/10.1007/s10915-020-01396-6 
    ​Details  DOI 
  • 2021 | Preprint
    ​ ​Geometric Analysis of Vision Cues for the Flare​
    Schaback, R. ​ (2021)
    ​Details 
  • 2021 | Journal Article
    ​ ​Statistical modeling of retinal optical coherence tomography using the Weibull mixture model​
    Jorjandi, S.; Amini, Z.; Plonka, G.   & Rabbani, H.​ (2021) 
    Biomedical Optics Express, 12(9) pp. 5470​.​ DOI: https://doi.org/10.1364/BOE.430800 
    ​Details  DOI 
  • 2021 | Research Data
    ​ ​Learned IE thesis: Comparison of different atmospheric models for helioseismology​
    Preuß, J.​ (2021)
    ​Göttingen Research Online / Data. DOI: https://doi.org/10.25625/GJ4PGF 
    ​Details  DOI 
  • 2021 | Research Data
    ​ ​Learned IE thesis: Transparent boundary conditions for the VAL-C model​
    Preuß, J.​ (2021)
    ​Göttingen Research Online / Data. DOI: https://doi.org/10.25625/N0S2QJ 
    ​Details  DOI 
  • 2021 | Journal Article
    ​ ​Asymptotics of the Lebesgue constants for a $d$-dimensional simplex​
    Kolomoitsev, Y.   & Liflyand, E.​ (2021) 
    Proceedings of the American Mathematical Society, 149(7) pp. 2911​-2926​.​ DOI: https://doi.org/10.1090/proc/15438 
    ​Details  DOI 
  • 2021 | Journal Article | 
    ​ ​ngsxfem: Add-on to NGSolve for geometrically unfitted finite element discretizations​
    Lehrenfeld, C. ; Heimann, F.; Preuß, J. & von Wahl, H.​ (2021) 
    The Journal of Open Source Software, 6(64).​ DOI: https://doi.org/10.21105/joss.03237 
    ​Details  DOI 
  • 2021 | Research Data | 
    ​ ​Learned IE thesis: Docker image​
    Preuß, J.​ (2021)
    ​Göttingen Research Online / Data. DOI: https://doi.org/10.25625/BDJD7J 
    ​Details  DOI 
  • 2021 | Journal Article | Research Paper | 
    ​ ​Projection methods for high numerical aperture phase retrieval​
    Hieu Thao, N.; Soloviev, O.; Luke, R.   & Verhaegen, M.​ (2021) 
    Inverse Problems, 37(12) pp. 125005​.​ DOI: https://doi.org/10.1088/1361-6420/ac3322 
    ​Details  DOI 
  • 2021 | Journal Article | Erratum | 
    ​ ​Correction to: Parseval Proximal Neural Networks​
    Hasannasab, M.; Hertrich, J.; Neumayer, S.; Plonka, G. ; Setzer, S. & Steidl, G.​ (2021) 
    Journal of Fourier Analysis and Applications, 27(3).​ DOI: https://doi.org/10.1007/s00041-021-09848-9 
    ​Details  DOI 
  • 2021 | Thesis | Master Thesis | 
    ​ ​On Discontinuous- and Continuous-In-Time Unfitted Space-Time Methods for PDEs on Moving Domains​
    Heimann, F. ​ (2021)
    Georg-August-Universität Göttingen. 
    Göttingen​: Göttingen Research Online / Data. DOI: https://doi.org/10.25625/CDCMYT 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper | 
    ​ ​Learned infinite elements​
    Hohage, T. ; Lehrenfeld, C.   & Preuß, J.​ (2020) 
    SIAM Journal on Scientific Computing, 43(5) pp. A3552​-A3579​.​ DOI: https://doi.org/10.1137/20M1381757 
    ​Details  DOI 
  • 2020 | Journal Article | 
    ​ ​Parseval Proximal Neural Networks​
    Hasannasab, M.; Hertrich, J.; Neumayer, S.; Plonka, G.; Setzer, S. & Steidl, G.​ (2020) 
    The Journal of Fourier Analysis and Applications, 26(4).​ DOI: https://doi.org/10.1007/s00041-020-09761-7 
    ​Details  DOI 
  • 2020 | Book Chapter
    ​ ​Constrained Reconstructions in X-ray Phase Contrast Imaging: Uniqueness, Stability and Algorithms​
    Maretzke, S.& Hohage, T. ​ (2020)
    In:​Salditt, Tim; Egner, Alexander; Luke, Russell​ (Eds.), Nanoscale Photonic Imaging pp. 377​-403.  DOI: https://doi.org/10.1007/978-3-030-34413-9_14 
    ​Details  DOI 
  • 2020 | Book Chapter
    ​ ​Proximal Methods for Image Processing​
    Luke, D. R. ​ (2020)
    In:​Salditt, Tim; Egner, Alexander; Luke, D. Russell​ (Eds.), Nanoscale Photonic Imaging pp. 165​-202.  DOI: https://doi.org/10.1007/978-3-030-34413-9_6 
    ​Details  DOI 
  • 2020 | Anthology
    ​ ​Nanoscale Photonic Imaging​ ​
    Salditt, T. ; Egner, A.  & Luke, D. R. ​ (Eds.) (2020)
    Cham: ​Springer. DOI: https://doi.org/10.1007/978-3-030-34413-9 
    ​Details  DOI 
  • 2020 | Book Chapter
    ​ ​Efficient, Quantitative Numerical Methods for Statistical Image Deconvolution and Denoising​
    Luke, D. R. ; Charitha, C.; Shefi, R.& Malitsky, Y.​ (2020)
    In:​Salditt, Tim; Egner, Alexander; Luke, D. Russell​ (Eds.), Nanoscale Photonic Imaging pp. 313​-338.  DOI: https://doi.org/10.1007/978-3-030-34413-9_12 
    ​Details  DOI 
  • 2020 | Book Chapter
    ​ ​Convergence Analysis of Iterative Algorithms for Phase Retrieval​
    Luke, D. R.  & Martins, A.-L.​ (2020)
    In:​Salditt, Tim; Egner, Alexander; Luke, D. Russell​ (Eds.), Nanoscale Photonic Imaging pp. 583​-601.  DOI: https://doi.org/10.1007/978-3-030-34413-9_23 
    ​Details  DOI 
  • 2020 | Book Chapter
    ​ ​One-Dimensional Discrete-Time Phase Retrieval​
    Beinert, R.& Plonka, G. ​ (2020)
    In:​Salditt, Tim; Egner, Alexander; Luke, D. Russell​ (Eds.), Nanoscale Photonic Imaging pp. 603​-627.  DOI: https://doi.org/10.1007/978-3-030-34413-9_24 
    ​Details  DOI 
  • 2020 | Book Chapter
    ​ ​Inverse Problems​
    Hohage, T. ; Sprung, B.& Weidling, F.​ (2020)
    In:​Salditt, Tim; Egner, Alexander; Luke, Russell​ (Eds.), Nanoscale Photonic Imaging pp. 145​-164.  DOI: https://doi.org/10.1007/978-3-030-34413-9_5 
    ​Details  DOI 
  • 2020 | Preprint
    ​ ​Modelling Recovered Cases and Death Probabilities for the COVID-19 Outbreak​
    Schaback, R. ​ (2020)
    ​Details  arXiv 
  • 2020 | Journal Article | 
    ​ ​Divergence-free tangential finite element methods for incompressible flows on surfaces​
    Lederer, P. L.; Lehrenfeld, C.   & Schöberl, J.​ (2020) 
    International Journal for Numerical Methods in Engineering, 121(11) pp. 2503​-2533​.​ DOI: https://doi.org/10.1002/nme.6317 
    ​Details  DOI  arXiv 
  • 2020 | Journal Article
    ​ ​Approximation by sampling-type operators in $L_p$-spaces​
    Kolomoitsev, Y.   & Skopina, M.​ (2020) 
    Mathematical Methods in the Applied Sciences, 43(16) pp. 9358​-9374​.​ DOI: https://doi.org/10.1002/mma.6222 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​A Forward-Backward Splitting Method for Monotone Inclusions Without Cocoercivity​
    Malitsky, Y. & Tam, M. K. ​ (2020) 
    SIAM Journal on Optimization, 30(2) pp. 1451​-1472​.​ DOI: https://doi.org/10.1137/18M1207260 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Density matrix reconstructions in ultrafast transmission electron microscopy: uniqueness, stability, and convergence rates​
    Shi, C.; Ropers, C.   & Hohage, T. ​ (2020) 
    Inverse Problems, 36(2) art. 025005​.​ DOI: https://doi.org/10.1088/1361-6420/ab539a 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​A Smoothness Energy without Boundary Distortion for Curved Surfaces​
    Stein, O.; Jacobson, A.; Wardetzky, M.   & Grinspun, E.​ (2020) 
    ACM Transactions on Graphics, 39(3) pp. 1​-17​.​ DOI: https://doi.org/10.1145/3377406 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Phase Retrieval with Sparse Phase Constraint​
    Thao, N. H.; Luke, D. R. ; Soloviev, O. & Verhaegen, M.​ (2020) 
    SIAM Journal on Mathematics of Data Science, 2(1) pp. 246​-263​.​ DOI: https://doi.org/10.1137/19M1266800 
    ​Details  DOI 
  • 2020 | Preprint
    ​ ​Adaptive sampling recovery of functions with higher mixed regularity​
    Derevianko, N.  & Ullrich, T.​ (2020). DOI: https://doi.org/10.48550/ARXIV.2004.03556 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Approximation of Gaussians by spherical Gauss-Laguerre basis in the weighted Hilbert space​
    Derevianko, N.   & Prestin, J.​ (2020) 
    Electronic Transactions on Numerical Analysis, 52 pp. 249​-269​.​
    ​Details 
  • 2020 | Journal Article | Research Paper
    ​ ​Global uniqueness in a passive inverse problem of helioseismology​
    Agaltsov, A. D.; Hohage, T.   & Novikov, R. G.​ (2020) 
    Inverse Problems, 36(5) art. 055004​.​ DOI: https://doi.org/10.1088/1361-6420/ab77d9 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper
    ​ ​Optimal Convergence Rates for Tikhonov Regularization in Besov Spaces​
    Weidling, F.; Sprung, B. & Hohage, T. ​ (2020) 
    SIAM Journal on Numerical Analysis, 58(1) pp. 21​-47​.​ DOI: https://doi.org/10.1137/18M1178098 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper
    ​ ​An Approximate Factorization Method for Inverse Acoustic Scattering with Phaseless Total-Field Data​
    Zhang, B. & Zhang, H. ​ (2020) 
    SIAM Journal on Applied Mathematics, 80(5) pp. 2271​-2298​.​ DOI: https://doi.org/10.1137/19M1280612 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper
    ​ ​Uniqueness of an inverse source problem in experimental aeroacoustics​
    Hohage, T. ; Raumer, H.-G.   & Spehr, C.​ (2020) 
    Inverse Problems, 36(7) art. 075012​.​ DOI: https://doi.org/10.1088/1361-6420/ab8484 
    ​Details  DOI 
  • 2020 | Book Chapter
    ​ ​Variational Methods for Discrete Geometric Functionals​
    Schumacher, H.& Wardetzky, M. ​ (2020)
    In:​Grohs, Philipp; Holler, Martin; Weinmann, Andreas​ (Eds.), Handbook of Variational Methods for Nonlinear Geometric Data pp. 153​-172. ​Cham: ​Springer. DOI: https://doi.org/10.1007/978-3-030-31351-7_5 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Uniqueness in inverse acoustic and electromagnetic scattering with phaseless near-field data at a fixed frequency​
    Xu, X.; Zhang, B. & Zhang, H. ​ (2020) 
    Inverse Problems and Imaging, 14(3) pp. 489​-510​.​ DOI: https://doi.org/10.3934/ipi.2020023 
    ​Details  DOI 
  • 2020 | Book Chapter
    ​ ​Discrete Riemannian calculus on shell space​
    Heeren, B.; Rumpf, M.; Wardetzky, M.  & Wirth, B.​ (2020)
    In:​Bonito, Andrea; Nochetto, Ricardo H.​ (Eds.), Handbook of Numerical Analysis pp. 621​-679. (Vol. 21).  DOI: https://doi.org/10.1016/bs.hna.2019.06.005 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Properties of moduli of smoothness inLp(Rd)​
    Kolomoitsev, Y.   & Tikhonov, S.​ (2020) 
    Journal of Approximation Theory, 257 art. 105423​.​ DOI: https://doi.org/10.1016/j.jat.2020.105423 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Approximation by periodic multivariate quasi-projection operators​
    Kolomoitsev, Y.; Krivoshein, A. & Skopina, M.​ (2020) 
    Journal of Mathematical Analysis and Applications, 489(2) art. 124192​.​ DOI: https://doi.org/10.1016/j.jmaa.2020.124192 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Necessary conditions for linear convergence of iterated expansive, set-valued mappings​
    Luke, D. R. ; Teboulle, M. & Thao, N. H. ​ (2020) 
    Mathematical Programming, 180(1-2) pp. 1​-31​.​ DOI: https://doi.org/10.1007/s10107-018-1343-8 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Nachruf auf Erhard Heinz​
    Schaback, R. ​ (2020) 
    Jahrbuch der Akademie der Wissenschaften zu Göttingen, 2018 pp. 93​-102​.​
    ​Details 
  • 2020 | Journal Article
    ​ ​Convergence Analysis of the Relaxed Douglas-Rachford Algorithm​
    Luke, D. R.   & Martins, A.-L.​ (2020) 
    SIAM Journal on Optimization, 30(1) pp. 542​-584​.​ DOI: https://doi.org/10.1137/18M1229638 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper
    ​ ​Inverse Problems with inexact forward operator: Iterative regularization and application in dynamic imaging​
    Blanke, S.; Hahn, B. & Wald, A. ​ (2020) 
    Inverse Problems,.​ DOI: https://doi.org/10.1088/1361-6420/abb5e1 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​A Simple Discretization of the Vector Dirichlet Energy​
    Stein, O.; Wardetzky, M. ; Jacobson, A. & Grinspun, E.​ (2020) 
    Computer Graphics Forum, 39(5) pp. 81​-92​.​ DOI: https://doi.org/10.1111/cgf.14070 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​A nonlinear discretization theory for meshfree collocation methods applied to quasilinear elliptic equations​
    Böhmer, K. & Schaback, R. ​ (2020) 
    ZAMM, 100(10).​ DOI: https://doi.org/10.1002/zamm.201800170 
    ​Details  DOI 
  • 2020 | Journal Article | 
    ​ ​The Generalized Operator Based Prony Method​
    Stampfer, K. & Plonka, G. ​ (2020) 
    Constructive Approximation, 52(2) pp. 247​-282​.​ DOI: https://doi.org/10.1007/s00365-020-09501-6 
    ​Details  DOI 
  • 2020 | Journal Article | 
    ​ ​Smoothness of functions versus smoothness of approximation processes​
    Kolomoitsev, Y.   & Tikhonov, S. Y.​ (2020) 
    Bulletin of Mathematical Sciences, 10(3) art. 2030002​.​ DOI: https://doi.org/10.1142/S1664360720300029 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper | 
    ​ ​Sweeping preconditioners for stratified media in the presence of reflections​
    Preuß, J.; Hohage, T.   & Lehrenfeld, C. ​ (2020) 
    Partial Differential Equations and Applications, 1(4).​ DOI: https://doi.org/10.1007/s42985-020-00019-x 
    ​Details  DOI 
  • 2020 | Journal Article | Research Paper | 
    ​ ​Efficient orbital imaging based on ultrafast momentum microscopy and sparsity-driven phase retrieval​
    Mathias, S. ; Jansen, G. S. M. ; Keunecke, M.; Düvel, M.; Möller, C.; Schmitt, D. & Bennecke, W. et al.​ (2020) 
    New Journal of Physics, 22(6) pp. 063012​.​ DOI: https://doi.org/10.1088/1367-2630/ab8aae 
    ​Details  DOI 
  • 2020 | Journal Article | 
    ​ ​On COVID-19 Modelling​
    Schaback, R. ​ (2020) 
    Jahresbericht der Deutschen Mathematiker-Vereinigung, 122(3) pp. 167​-205​.​ DOI: https://doi.org/10.1365/s13291-020-00219-9 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​Cellular models for discovering prion disease therapeutics: Progress and challenges​
    Krance, S. H.; Luke, R.; Shenouda, M.; Israwi, A. R.; Colpitts, S. J.; Darwish, L. & Strauss, M. et al.​ (2020) 
    Journal of Neurochemistry, 153(2) pp. 150​-172​.​ DOI: https://doi.org/10.1111/jnc.14956 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​A higher order Faber spline basis for sampling discretization of functions​
    Derevianko, N.   & Ullrich, T.​ (2019) 
    Journal of Approximation Theory, 257 pp. 105449​.​ DOI: https://doi.org/10.1016/j.jat.2020.105449 
    ​Details  DOI 
  • 2019 | Preprint
    ​ ​A mixed finite element method with piecewise linear elements for the biharmonic equation on surfaces​
    Stein, O.; Grinspun, E.; Jacobson, A.& Wardetzky, M. ​ (2019)
    ​Details 
  • 2019 | Journal Article | Research Paper
    ​ ​A Tree-based Dictionary Learning Framework​
    Budinich, R. & Plonka, G. ​ (2019) 
    International Journal of Wavelets, Multiresolution and Information Processing, 18(5) art. 2050041​.​ DOI: https://doi.org/10.1142/S0219691320500411 
    ​Details  DOI  arXiv 
  • 2019 | Preprint
    ​ ​A Greedy Method for Solving Classes of PDE Problems​
    Schaback, R. ​ (2019)
    ​Details  arXiv 
  • 2019 | Book Chapter
    ​ ​Tangent and Normal Cones for Low-Rank Matrices​
    Hosseini, S.; Luke, D. R.  & Uschmajew, A.​ (2019)
    In:​Hosseini, S.; Mordukhovich, B. S.; Uschmajew, A.​ (Eds.), Nonsmooth Optimization and Its Applications pp. 45​-53. (Vol. 170). ​Birkhauser. DOI: https://doi.org/10.1007/978-3-030-11370-4_3 
    ​Details  DOI 
  • 2019 | Anthology
    ​ ​Splitting Algorithms, Modern Operator Theory, and Applications​ ​(1. ed.) 
    Bauschke, H. H.; Burachik, R. S.& Luke, D. R. ​ (Eds.) (2019)
    Cham: ​Springer.
    ​Details 
  • 2019 | Journal Article
    ​ ​On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions​
    Derevianko, N. ; Myroniuk, V. & Prestin, J.​ (2019) 
    Journal of Approximation Theory, 238 pp. 67​-84​.​ DOI: https://doi.org/10.1016/j.jat.2017.05.007 
    ​Details  DOI 
  • 2019 | Journal Article | Research Paper
    ​ ​Elastic energy regularization for inverse obstacle scattering problems​
    Eckhardt, J.; Hiptmair, R.; Hohage, T. ; Schumacher, H. & Wardetzky, M. ​ (2019) 
    Inverse Problems, 35(10) art. 104009​.​ DOI: https://doi.org/10.1088/1361-6420/ab3034 
    ​Details  DOI 
  • 2019 | Journal Article | Research Paper
    ​ ​Existence, blow-up and exponential decay of solutions for a porous-elastic system with damping and source terms​
    Anh Khoa, V.; Thi Phuong Ngoc, L. & Thanh Long, N.​ (2019) 
    Evolution equations and control theory, 8(2) pp. 359​-395​.​ DOI: https://doi.org/10.3934/eect.2019019 
    ​Details  DOI 
  • 2019 | Journal Article | Research Paper
    ​ ​Inverse wave propagation problems without phase information​
    Hohage, T.   & Novikov, R. G.​ (2019) 
    Inverse Problems, 35(7) art. 070301​.​ DOI: https://doi.org/10.1088/1361-6420/ab1aaf 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​A Novel Integral Equation for Scattering by Locally Rough Surfaces and Application to the Inverse Problem: The Neumann Case​
    Qu, F.; Zhang, B. & Zhang, H. ​ (2019) 
    SIAM Journal on Scientific Computing, 41(6) pp. A3673​-A3702​.​ DOI: https://doi.org/10.1137/19M1240745 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Real sparse fast DCT for vectors with short support​
    Bittens, S. & Plonka, G. ​ (2019) 
    Linear Algebra and its Applications, 582 pp. 359​-390​.​ DOI: https://doi.org/10.1016/j.laa.2019.08.006 
    ​Details  DOI 
  • 2019 | Thesis | Doctoral Thesis
    ​ ​Sparse Fast Trigonometric Transforms​
    Bittens, S.​ (2019)
    Georg-August-Universität Göttingen. 
    ​Details 
  • 2019 | Journal Article
    ​ ​Reconstruction of Non‐Stationary Signals by the Generalized Prony Method​
    Keller, I.; Plonka, G.   & Stampfer, K.​ (2019) 
    Proceedings in Applied Mathematics and Mechanics, 19(1).​ DOI: https://doi.org/10.1002/pamm.201900358 
    ​Details  DOI 
  • 2019 | Monograph
    ​ ​Inverse acoustic and electromagnetic scattering theory​ ​(4. ed.) 
    Colton, D.& Kress, R. ​ (2019)
    Cham​: Springer. DOI: https://doi.org/10.1007/978-3-030-30351-8 
    ​Details  DOI 
  • 2019 | Book Chapter
    ​ ​Some old and some new results in inverse obstacle scattering​
    Kress, R. ​ (2019)
    In:​Langer, Ulrich; Pauly, Dirk; Repin, Sergey​ (Eds.), Maxwell’s Equations: Analysis and Numerics pp. 259​-284. ​Berlin: ​De Gruyter. DOI: https://doi.org/10.1515/9783110543612-008 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Random Function Iterations for Consistent Stochastic Feasibility​
    Hermer, N.; Luke, D. R.   & Sturm, A. ​ (2019) 
    Numerical Functional Analysis and Optimization, 40(4) pp. 386​-420​.​ DOI: https://doi.org/10.1080/01630563.2018.1535507 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Shadow Douglas–Rachford Splitting for Monotone Inclusions​
    Csetnek, E. R.; Malitsky, Y. & Tam, M. K. ​ (2019) 
    Applied Mathematics & Optimization, 80(3) pp. 665​-678​.​ DOI: https://doi.org/10.1007/s00245-019-09597-8 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Reconstruction of stationary and non-stationary signals by the generalized Prony method​
    Plonka, G. ; Stampfer, K. & Keller, I.​ (2019) 
    Analysis and Applications, 17(2) pp. 179​-210​.​ DOI: https://doi.org/10.1142/S0219530518500240 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Optimization on Spheres: Models and Proximal Algorithms with Computational Performance Comparisons​
    Luke, D. R. ; Sabach, S. & Teboulle, M.​ (2019) 
    SIAM Journal on Mathematics of Data Science, 1(3) pp. 408​-445​.​ DOI: https://doi.org/10.1137/18M1193025 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Optimal approximation with exponential sums by a maximum likelihood modification of Prony’s method​
    Zhang, R. & Plonka, G. ​ (2019) 
    Advances in Computational Mathematics, 45(3) pp. 1657​-1687​.​ DOI: https://doi.org/10.1007/s10444-019-09692-y 
    ​Details  DOI 
  • 2019 | Book Chapter
    ​ ​Daten, Prozesse und Information​
    Schaback, R. ​ (2019)
    In:​Fritz, Hans-Joachim; Schaback, Robert​ (Eds.), Die Natur der Information: Beiträge aus der Arbeit der gleichnamigen Forschungskommission der Akademie der Wissenschaften zu Göttingen pp. 183​-193. ​Göttingen: ​Universitätsverlag Göttingen.
    ​Details 
  • 2019 | Book Chapter
    ​ ​Definitionen von Information​
    Schaback, R. ​ (2019)
    In:​Fritz, Hans-Joachim; Schaback, Robert​ (Eds.), Die Natur der Information: Beiträge aus der Arbeit der gleichnamigen Forschungskommission der Akademie der Wissenschaften zu Göttingen pp. 11​-25. ​Göttingen: ​Universitätsverlag Göttingen.
    ​Details 
  • 2019 | Preprint
    ​ ​Elastic energy regularization for inverse obstacle problems​
    Eckhardt, J.; Hiptmair, R.; Hohage, T. ; Schumacher, H.& Wardetzky, M. ​ (2019)
    ​Details  arXiv 
  • 2019 | Book Chapter
    ​ ​Characterizations of Super-regularity and its Variants​
    Daniilidis, A.; Luke, D. R.  & Tam, M.​ (2019)
    In:​Bauschke, Heinz; Luke, D. Russell; Burachik, Regina​ (Eds.), Splitting Algorithms, Modern Operator Theory and Applications pp. 137​-152. ​Springer. DOI: https://doi.org/10.1007/978-3-030-25939-6_6 
    ​Details  DOI 
  • 2019 | Thesis | Master Thesis
    ​ ​Higher order stabilized time stepping in unfitted finite element method on moving domains​
    Jin, X.​ (2019)
    University of Göttingen. 
    ​Details 
  • 2019 | Journal Article
    ​ ​Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II​
    Lederer, P. L.; Lehrenfeld, C.   & Schöberl, J.​ (2019) 
    European Series in Applied and Industrial Mathematics. Proceedings and Surveys, 53(2) pp. 503​-522​.​ DOI: https://doi.org/10.1051/m2an/2018054 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Sparse power factorization: balancing peakiness and sample complexity​
    Geppert, J.; Krahmer, F.   & Stöger, D.​ (2019) 
    Advances in Computational Mathematics, 45(3) pp. 1711​-1728​.​ DOI: https://doi.org/10.1007/s10444-019-09698-6 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​On the fractional derivatives of radial basis functions: Theories and applications​
    Saberi Zafarghandi, F.; Mohammadi, M. & Schaback, R. ​ (2019) 
    Mathematical Methods in the Applied Sciences, 42(11) pp. 3877​-3899​.​ DOI: https://doi.org/10.1002/mma.5618 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Mass Conservative Reduced Order Modeling of a Free Boundary Osmotic Cell Swelling Problem​
    Lehrenfeld, C.   & Rave, S.​ (2019) 
    Advances in Computational Mathematics, 45(5-6) pp. 2215​-2239​.​ DOI: https://doi.org/10.1007/s10444-019-09691-z 
    ​Details  DOI  arXiv 
  • 2019 | Journal Article
    ​ ​L2-error analysis of an isoparametric unfitted finite element method for elliptic interface problems​
    Lehrenfeld, C.   & Reusken, A.​ (2019) 
    Journal of Numerical Mathematics, 27(2) pp. 85​-99​.​ DOI: https://doi.org/10.1515/jnma-2017-0109 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Numerical benchmarking of fluid-rigid body interactions​
    Wahl, H. von; Richter, T.; Lehrenfeld, C. ; Heiland, J. & Minakowski, P.​ (2019) 
    Computers & Fluids, 193 art. 104290​.​ DOI: https://doi.org/10.1016/j.compfluid.2019.104290 
    ​Details  DOI  arXiv 
  • 2019 | Journal Article
    ​ ​Viscous dissipation in DG methods for turbulent incompressible flows​
    Lehrenfeld, C. ; Lube, G.   & Schröder, P. W. ​ (2019) 
    Proceedings in Applied Mathematics and Mechanics, 19(1).​ DOI: https://doi.org/10.1002/pamm.201900049 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​An Eulerian finite element method for PDEs in time-dependent domains​
    Lehrenfeld, C.   & Olshanskii, M.​ (2019) 
    European Series in Applied and Industrial Mathematics. Proceedings and Surveys, 53(2) pp. 585​-614​.​ DOI: https://doi.org/10.1051/m2an/2018068 
    ​Details  DOI 
  • 2019 | Journal Article | Research Paper
    ​ ​Optimal convergence rates for sparsity promoting wavelet-regularization in Besov spaces​
    Hohage, T.   & Miller, P.​ (2019) 
    Inverse Problems, 35(6) art. 065005​.​ DOI: https://doi.org/10.1088/1361-6420/ab0b15 
    ​Details  DOI 
  • 2019 | Journal Article | Research Paper
    ​ ​An iterative approach to monochromatic phaseless inverse scattering​
    Agaltsov, A. D.; Hohage, T.   & Novikov, R. G.​ (2019) 
    Inverse Problems, 35(2) art. 024001​.​ DOI: https://doi.org/10.1088/1361-6420/aaf097 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Golden ratio algorithms for variational inequalities​
    Malitsky, Y.​ (2019) 
    Mathematical Programming, 184(1-2) pp. 383​-410​.​ DOI: https://doi.org/10.1007/s10107-019-01416-w 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Analysis of a Quasi-Reversibility Method for a Terminal Value Quasi-Linear Parabolic Problem with Measurements​
    Nguyen, H. T.; Khoa, V. A. & Vo, V. A.​ (2019) 
    SIAM Journal on Mathematical Analysis, 51(1) pp. 60​-85​.​ DOI: https://doi.org/10.1137/18M1174064 
    ​Details  DOI 
  • 2019 | Journal Article | 
    ​ ​Upper and lower bounds for the Bregman divergence​
    Sprung, B.​ (2019) 
    Journal of Inequalities and Applications, 2019(1) art. 4​.​ DOI: https://doi.org/10.1186/s13660-018-1953-y 
    ​Details  DOI 
  • 2019 | Conference Paper | 
    ​ ​Generation and attosecond shaping of high coherence free-electron beams for ultrafast TEM​
    Feist, A. ; Priebe, K. E. ; Rathje, C.; Bach, N. ; Rubiano da Silva, N. ; Danz, T.   & Möller, M.  et al.​ (2019)
    ​XXI International Conference on Ultrafast Phenomena 2018 (UP 2018). ​XXI International Conference on Ultrafast Phenomena 2018 (UP 2018)​, Hamburg. DOI: https://doi.org/10.1051/epjconf/201920508012 
    ​Details  DOI 
  • 2019 | Anthology | 
    ​ ​Die Natur der Information: ​Beiträge aus der Arbeit der gleichnamigen Forschungskommission der Akademie der Wissenschaften zu Göttingen​ ​
    Fritz, H.-J.& Schaback, R. ​ (Eds.) (2019)
    Göttingen: ​Universitätsverlag Göttingen. DOI: https://doi.org/10.17875/gup2019-1157 
    ​Details  DOI 
  • 2019 | Journal Article | 
    ​ ​High-order DG solvers for under-resolved turbulent incompressible flows: A comparison of $L^2$ and $H(div)$ methods​
    Fehn, N.; Kronbichler, M.; Lehrenfeld, C. ; Lube, G.   & Schröder, P. W. ​ (2019) 
    International Journal for Numerical Methods in Fluids, 91(11) pp. 533​-556​.​ DOI: https://doi.org/10.1002/fld.4763 
    ​Details  DOI  arXiv 
  • 2019 | Book Chapter
    ​ ​Numerical Integration on Hyperrectangles in Isoparametric Unfitted Finite Elements​
    Heimann, F.& Lehrenfeld, C. ​ (2019)
    In:​Radu, Florin Adrian; Kumar, Kundan; Berre, Inga; Nordbotten, Jan Martin; Pop, Iuliu Sorin​ (Eds.), Numerical Mathematics and Advanced Applications ENUMATH 2017 pp. 193​-202. (Vol. 126). ​Cham: ​Springer International Publishing. DOI: https://doi.org/10.1007/978-3-319-96415-7_16 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Hugo Steinhaus (1887-1972): ​Laudatio anlässlich der Enthüllung einer Gedenktafel am 2.6.2018 in der Planckstraße 1​
    Kress, R.​ (2019) 
    Göttinger Jahrbuch, 67 pp. 223​-230​.​ DOI: https://doi.org/10.62013/67-013 
    ​Details  DOI 
  • 2019 | Journal Article | Research Paper
    ​ ​Formulation and Efficient Computation of ${\ell}_{\textsf{1}}$ - and Smoothness Penalized Estimates for Microstructure-Informed Tractography​
    Schomburg, H.   & Hohage, T. ​ (2019) 
    IEEE Transactions on Medical Imaging, 38(8) pp. 1899​-1909​.​ DOI: https://doi.org/10.1109/TMI.2019.2902787 
    ​Details  DOI  PMID  PMC 
  • 2018 | Journal Article
    ​ ​Quasi-projection operators in the weighted $L_p$ spaces​
    Kolomoitsev, Y.   & Skopina, M.​ (2018) 
    Applied and Computational Harmonic Analysis, 52 pp. 165​-197​.​ DOI: https://doi.org/10.1016/j.acha.2020.01.003 
    ​Details  DOI 
  • 2018 | Journal Article | Research Paper
    ​ ​On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem​
    Schröder, P. W. ; John, V.; Lederer, P. L.; Lehrenfeld, C. ; Lube, G.   & Schöberl, J.​ (2018) 
    Computers & Mathematics with Applications, 77(4) pp. 1010​-1028​.​ DOI: https://doi.org/10.1016/j.camwa.2018.10.030 
    ​Details  DOI  arXiv 
  • 2018 | Thesis | Master Thesis
    ​ ​Higher order unfitted isoparametric space-time FEM on moving domains​
    Preuß, J.​ (2018)
    University of Göttingen.  DOI: https://doi.org/10.25625/UACWXS 
    ​Details  DOI 
  • 2018 | Thesis | Master Thesis
    ​ ​Shape Optimization for Interface Problems using unfitted Finite Elements​
    Raumer, H.-G.​ (2018)
    University of Göttingen. 
    ​Details 
  • 2018 | Journal Article
    ​ ​A Lyapunov-type approach to convergence of the Douglas–Rachford algorithm for a nonconvex setting​
    Dao, M. N. & Tam, M. K. ​ (2018) 
    Journal of Global Optimization, 73(1) pp. 83​-112​.​ DOI: https://doi.org/10.1007/s10898-018-0677-3 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Computation of Adaptive Fourier Series by Sparse Approximation of Exponential Sums​
    Plonka, G.   & Pototskaia, V.​ (2018) 
    The Journal of Fourier Analysis and Applications, 25(4) pp. 1580​-1608​.​ DOI: https://doi.org/10.1007/s00041-018-9635-1 
    ​Details  DOI 
  • 2018 | Journal Article | Research Paper
    ​ ​Monochromatic Identities for the Green Function and Uniqueness Results for Passive Imaging​
    Agaltsov, A. D.; Hohage, T.   & Novikov, R. G.​ (2018) 
    SIAM Journal on Applied Mathematics, 78(5) pp. 2865​-2890​.​ DOI: https://doi.org/10.1137/18M1182218 
    ​Details  DOI 
  • 2018 | Conference Paper
    ​ ​Relaxed Cyclic Douglas-Rachford Algorithms for Nonconvex Optimization​
    Luke, D. R. ; Martins, A. & Tam, M. K.​ (2018)
    ​ICML 2018 Workshop: Modern Trends in Nonconvex Optimization for Machine Learning​, Stockholm, Sweden.
    ​Details 
  • 2018 | Book Chapter
    ​ ​Block-Coordinate Primal-Dual Method for Nonsmooth Minimization over Linear Constraints​
    Luke, D. R.  & Malitsky, Y.​ (2018)
    In: Distributed and Large-Scale Optimization pp. 121​-147. (Vol. 2227).  DOI: https://doi.org/10.1007/978-3-319-97478-1_6 
    ​Details  DOI  arXiv 
  • 2018 | Monograph
    ​ ​Numerical Fourier Analysis​ ​
    Plonka-Hoch, G. ; Potts, D.; Steidl, G.& Tasche, M.​ (2018)
    Cham​: Birkhauser Verlag GmbH, Imprint of Springer Nature. DOI: https://doi.org/10.1007/978-3-030-04306-3 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Implicit Error Bounds for Picard Iterations on Hilbert Spaces​
    Luke, D. R. ; Thao, N. H.   & Tam, M. K. ​ (2018) 
    Vietnam Journal of Mathematics, 46(2) pp. 243​-258​.​ DOI: https://doi.org/10.1007/s10013-018-0279-x 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Enforcing uniqueness in one-dimensional phase retrieval by additional signal information in time domain​
    Beinert, R.   & Plonka, G. ​ (2018) 
    Applied and Computational Harmonic Analysis, 45(3) pp. 505​-525​.​ DOI: https://doi.org/10.1016/j.acha.2016.12.002 
    ​Details  DOI 
  • 2018 | Journal Article | Research Paper
    ​ ​Automatic alignment for three-dimensional tomographic reconstruction​
    van Leeuwen, T.; Maretzke, S. & Batenburg, K J.​ (2018) 
    Inverse Problems, 34(2) art. 024004​.​ DOI: https://doi.org/10.1088/1361-6420/aaa0f8 
    ​Details  DOI 
  • 2018 | Journal Article | Research Paper
    ​ ​Cryogenic electron tomography reconstructions from phaseless data​
    Zickert, G. & Maretzke, S.​ (2018) 
    Inverse Problems, 34(12) art. 124001​.​ DOI: https://doi.org/10.1088/1361-6420/aade22 
    ​Details  DOI 
  • 2018 | Journal Article | Research Paper
    ​ ​Locality estimates for Fresnel-wave-propagation and stability of x-ray phase contrast imaging with finite detectors​
    Maretzke, S.​ (2018) 
    Inverse Problems, 34(12) art. 124004​.​ DOI: https://doi.org/10.1088/1361-6420/aae78f 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Algorithms based on unions of nonexpansive maps​
    Tam, M. K. ​ (2018) 
    Optimization Letters, 12(5) pp. 1019​-1027​.​ DOI: https://doi.org/10.1007/s11590-018-1249-7 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Nonlocal impedance conditions in direct and inverse obstacle scattering​
    Kress, R. ​ (2018) 
    Inverse Problems, 35(2) pp. 024002​.​ DOI: https://doi.org/10.1088/1361-6420/aaf14e 
    ​Details  DOI 
  • 2018 | Journal Article | Research Paper
    ​ ​Higher order convergence rates for Bregman iterated variational regularization of inverse problems​
    Sprung, B. & Hohage, T. ​ (2018) 
    Numerische Mathematik, 141(1) pp. 215​-252​.​ DOI: https://doi.org/10.1007/s00211-018-0987-x 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Variational Convergence of Discrete Minimal Surfaces​
    Wardetzky, M.   & Schumacher, H.​ (2018) 
    Oberwolfach Reports, 20.​
    ​Details 
  • 2018 | Journal Article
    ​ ​A feasibility approach for constructing combinatorial designs of circulant type​
    Aragón Artacho, F. J.; Campoy, R.; Kotsireas, I. & Tam, M. K. ​ (2018) 
    Journal of Combinatorial Optimization, 35(4) pp. 1061​-1085​.​ DOI: https://doi.org/10.1007/s10878-018-0250-5 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​A globally linearly convergent method for pointwise quadratically supportable convex–concave saddle point problems​
    Luke, D. R.   & Shefi, R.​ (2018) 
    Journal of Mathematical Analysis and Applications, 457(2) pp. 1568​-1590​.​ DOI: https://doi.org/10.1016/j.jmaa.2017.02.068 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​H2-Convergence of Least-Squares Kernel Collocation Methods​
    Cheung, K. C.; Ling, L. & Schaback, R. ​ (2018) 
    SIAM Journal on Numerical Analysis, 56(1) pp. 614​-633​.​ DOI: https://doi.org/10.1137/16M1072863 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Inverse scattering for shape and impedance revisited​
    Kress, R.   & Rundell, W.​ (2018) 
    Journal of Integral Equations and Applications, 30(2) pp. 293​-311​.​ DOI: https://doi.org/10.1216/JIE-2018-30-2-293 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Looking Back on Inverse Scattering Theory​
    Colton, D. & Kress, R. ​ (2018) 
    SIAM Review, 60(4) pp. 779​-807​.​ DOI: https://doi.org/10.1137/17M1144763 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Variational convergence of discrete minimal surfaces​
    Schumacher, H. & Wardetzky, M. ​ (2018) 
    Numerische Mathematik, 141(1) pp. 173​-213​.​ DOI: https://doi.org/10.1007/s00211-018-0993-z 
    ​Details  DOI  arXiv 
  • 2018 | Journal Article
    ​ ​Sparse fast DCT for vectors with one-block support​
    Bittens, S. & Plonka, G. ​ (2018) 
    Numerical Algorithms, 82(2) pp. 663​-697​.​ DOI: https://doi.org/10.1007/s11075-018-0620-1 
    ​Details  DOI 
  • 2018 | Book Chapter
    ​ ​A Higher Order Isoparametric Fictitious Domain Method for Level Set Domains​
    Lehrenfeld, C. ​ (2018)
    In:​Bordas, Stéphane P. A.; Burman, Erik; Larson, Mats G.; Olshanskii, Maxim A.​ (Eds.), Geometrically Unfitted Finite Element Methods and Applications pp. 65​-92. (Vol. 121). ​Cham: ​Springer International Publishing. DOI: https://doi.org/10.1007/978-3-319-71431-8 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Minimal numerical differentiation formulas​
    Davydov, O. & Schaback, R. ​ (2018) 
    Numerische Mathematik, 140(3) pp. 555​-592​.​ DOI: https://doi.org/10.1007/s00211-018-0973-3 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Superconvergence of kernel-based interpolation​
    Schaback, R. ​ (2018) 
    Journal of Approximation Theory, 235 pp. 1​-19​.​ DOI: https://doi.org/10.1016/j.jat.2018.05.002 
    ​Details  DOI 
  • 2018 | Conference Paper
    ​ ​Sparse Power Factorization With Refined Peakiness Conditions​
    Stoger, D.; Geppert, J. & Krahmer, F.​ (2018)
    pp. 816​-820. ​IEEE/SP Workshop on Statistical Signal Processing (SSP)​, Freiburg im Breisgau. DOI: https://doi.org/10.1109/SSP.2018.8450850 
    ​Details  DOI 
  • 2018 | Journal Article | Research Paper
    ​ ​A fast subspace optimization method for nonlinear inverse problems in Banach spaces with an application in parameter identification​
    Wald, A. ​ (2018) 
    Inverse Problems, 34(8) art. 085008​.​ DOI: https://doi.org/10.1088/1361-6420/aac8f3 
    ​Details  DOI 
  • 2018 | Book Chapter
    ​ ​Tomographic Terahertz Imaging Using Sequential Subspace Optimization​
    Wald, A.  & Schuster, T.​ (2018)
    In:​Hofmann, Bernd; Leitão, Antonio; Zubelli, Jorge P.​ (Eds.), New Trends in Parameter Identification for Mathematical Models pp. 261​-290. ​Springer. DOI: https://doi.org/10.1007/978-3-319-70824-9_14 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​A Strongly Conservative Hybrid DG/Mixed FEM for the Coupling of Stokes and Darcy Flow​
    Fu, G. & Lehrenfeld, C. ​ (2018) 
    Journal of Scientific Computing, 77(3) pp. 1605​-1620​.​ DOI: https://doi.org/10.1007/s10915-018-0691-0 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​A boundary integral equation for the transmission eigenvalue problem for Maxwell equation​
    Cakoni, F.; Ivanyshyn Yaman, O.; Kress, R.   & Le Louër, F.​ (2018) 
    Mathematical Methods in the Applied Sciences, 41(4) pp. 1316​-1330​.​ DOI: https://doi.org/10.1002/mma.4664 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​A meshfree method for solving the Monge–Ampère equation​
    Böhmer, K. & Schaback, R. ​ (2018) 
    Numerical Algorithms, 82(2) pp. 539​-551​.​ DOI: https://doi.org/10.1007/s11075-018-0612-1 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​A deterministic sparse FFT for functions with structured Fourier sparsity​
    Bittens, S.; Zhang, R. & Iwen, M. A.​ (2018) 
    Advances in Computational Mathematics, 45(2) pp. 519​-561​.​ DOI: https://doi.org/10.1007/s10444-018-9626-4 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Set regularities and feasibility problems​
    Kruger, A. Y.; Luke, D. R.   & Thao, N. H. ​ (2018) 
    Mathematical Programming, 168 pp. 279​-311​.​ DOI: https://doi.org/10.1007/s10107-016-1039-x 
    ​Details  DOI 
  • 2018 | Conference Paper
    ​ ​Quantum Coherent Transverse and Longitudinal Control for Attosecond Shaping of Free Electron Beams​
    Feist, A. ; Priebe, K. E. ; Rathje, C.; Rittmann, T.; Yalunin, S. V. ; Hohage, T.   & Schäfer, S.  et al.​ (2018)
    ​CLEO: QELS_Fundamental Science, part of CLEO: 2018 : 13-18 May 2018, San Jose, California, United States. ​CLEO: QELS_Fundamental Science 2018​, San Jose, California United States.
    Washington, D.C.​: OSA - The Optical Society. DOI: https://doi.org/10.1364/CLEO_QELS.2018.FM4F.1 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Analysis of a high-order unfitted finite element method for elliptic interface problems​
    Lehrenfeld, C.   & Reusken, A.​ (2018) 
    IMA Journal of Numerical Analysis, 38(3) pp. 1351​-1387​.​ DOI: https://doi.org/10.1093/imanum/drx041 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Hybrid Discontinuous Galerkin Methods with Relaxed H(div)-Conformity for Incompressible Flows. Part I​
    Lederer, P. L.; Lehrenfeld, C.   & Schöberl, J.​ (2018) 
    SIAM Journal on Numerical Analysis, 56(4) pp. 2070​-2094​.​ DOI: https://doi.org/10.1137/17M1138078 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Sparse graph-regularized dictionary learning for suppressing random seismic noise​
    Liu, L. ; Ma, J. & Plonka, G. ​ (2018) 
    Geophysics, 83(3) pp. V215​-V231​.​ DOI: https://doi.org/10.1190/geo2017-0310.1 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier–Stokes equations​
    Schröder, P. W. ; Lehrenfeld, C. ; Linke, A. & Lube, G. ​ (2018) 
    SeMA Journal, 75(4) pp. 629​-653​.​ DOI: https://doi.org/10.1007/s40324-018-0157-1 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces​
    Grande, J.; Lehrenfeld, C.   & Reusken, A.​ (2018) 
    SIAM Journal on Numerical Analysis, 56(1) pp. 228​-255​.​ DOI: https://doi.org/10.1137/16M1102203 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces​
    Lehrenfeld, C. ; Olshanskii, M. A. & Xu, X.​ (2018) 
    SIAM Journal on Numerical Analysis, 56(3) pp. 1643​-1672​.​ DOI: https://doi.org/10.1137/17M1148633 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Symbolic Computation with Monotone Operators​
    Lauster, F.; Luke, D. R.   & Tam, M. K. ​ (2018) 
    Set-Valued and Variational Analysis, 26(2) pp. 353​-368​.​ DOI: https://doi.org/10.1007/s11228-017-0418-7 
    ​Details  DOI 
  • 2018 | Journal Article | 
    ​ ​Natural Boundary Conditions for Smoothing in Geometry Processing​
    Stein, O.; Grinspun, E.; Wardetzky, M.   & Jacobson, A.​ (2018) 
    ACM Transactions on Graphics, 37(2) pp. 1​-13​.​ DOI: https://doi.org/10.1145/3186564 
    ​Details  DOI 
  • 2018 | Thesis | Bachelor Thesis | 
    ​ ​Higher order Discontinuous Galerkin methods for the Laplace-Beltrami problem on unfitted smooth surfaces​
    Heimann, F. ​ (2018)
    Göttingen Research Online / Data. DOI: https://doi.org/10.25625/OIBRT4 
    ​Details  DOI 
  • 2018 | Journal Article | 
    ​ ​Quantitative Convergence Analysis of Iterated Expansive, Set-Valued Mappings​
    Thao, N. H. ; Tam, M. K.   & Luke, R. ​ (2018) 
    Mathematics of Operations Research, 43(4) pp. 1143​-1176​.​ DOI: https://doi.org/10.1287/moor.2017.0898 
    ​Details  DOI  arXiv 
  • 2018 | Journal Article | 
    ​ ​The Proximal Alternating Minimization Algorithm for Two-Block Separable Convex Optimization Problems with Linear Constraints​
    Bitterlich, S.; Boţ, R. I.; Csetnek, E. R. & Wanka, G.​ (2018) 
    Journal of Optimization Theory and Applications,.​ DOI: https://doi.org/10.1007/s10957-018-01454-y 
    ​Details  DOI 
  • 2018 | Journal Article | 
    ​ ​Topology determines force distributions in one-dimensional random spring networks​
    Heidemann, K. M.; Sageman-Furnas, A. O. ; Sharma, A.; Rehfeldt, F. ; Schmidt, C. F.   & Wardetzky, M. ​ (2018) 
    Physical Review. E, 97(2).​ DOI: https://doi.org/10.1103/PhysRevE.97.022306 
    ​Details  DOI 
  • 2018 | Book Chapter
    ​ ​Integral equation methods in inverse obstacle scattering with a generalized impedance boundary condition​
    Kreß, R. ​ (2018)
    In:​Dick, J.; Kuo, F. Y.; Wozniakowski, H.​ (Eds.), Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan pp. 721​-740. ​New York: ​Springer. DOI: https://doi.org/10.1007/978-3-319-72456-0_32 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Proximal extrapolated gradient methods for variational inequalities​
    Malitsky, Y.​ (2018) 
    Optimization Methods & Software, 33(1) pp. 140​-164​.​ DOI: https://doi.org/10.1080/10556788.2017.1300899 
    ​Details  DOI  PMID  PMC 
  • 2018 | Journal Article | 
    ​ ​Topology Counts: Force Distributions in Circular Spring Networks​
    Heidemann, K. M.; Sageman-Furnas, A. O. ; Sharma, A.; Rehfeldt, F. ; Schmidt, C. F.   & Wardetzky, M. ​ (2018) 
    Physical Review Letters, 120(6).​ DOI: https://doi.org/10.1103/PhysRevLett.120.068001 
    ​Details  DOI  PMID  PMC 
  • 2017 | Journal Article | Research Paper
    ​ ​An eigenvalue approach for the automatic scaling of unknowns in model-based reconstructions: Application to real-time phase-contrast flow MRI​
    Tan, Z.; Hohage, T. ; Kalentev, O.; Joseph, A. A.; Wang, X.; Voit, D. & Merboldt, K. D. et al.​ (2017) 
    NMR in Biomedicine, 30(12) art. e3835​.​ DOI: https://doi.org/10.1002/nbm.3835 
    ​Details  DOI  PMID  PMC 
  • 2017 | Journal Article | Research Paper
    ​ ​Application of the cut-off projection to solve a backward heat conduction problem in a two-slab composite system​
    Tuan, N. H.; Khoa, V. A.; Truong, M. T. N.; Hung, T. T. & Minh, M. N.​ (2017) 
    Inverse Problems in Science and Engineering, 27(4) pp. 460​-483​.​ DOI: https://doi.org/10.1080/17415977.2018.1470623 
    ​Details  DOI  arXiv 
  • 2017 | Preprint
    ​ ​A Simple Solution for Maximum Range Flight​
    Schaback, R. ​ (2017)
    ​Details  arXiv 
  • 2017 | Journal Article | 
    ​ ​Sparse Phase Retrieval of One-Dimensional Signals by Prony's Method​
    Beinert, R. & Plonka, G. ​ (2017) 
    Frontiers in Applied Mathematics and Statistics, 3.​ DOI: https://doi.org/10.3389/fams.2017.00005 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​About Subtransversality of Collections of Sets​
    Kruger, A. Y.; Luke, D. R.   & Thao, N. H. ​ (2017) 
    Set-Valued and Variational Analysis, 25(4) pp. 701​-729​.​ DOI: https://doi.org/10.1007/s11228-017-0436-5 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Stability estimates for linearized near-field phase retrieval in X-ray phase contrast imaging​
    Maretzke, S.   & Hohage, T. ​ (2017) 
    SIAM Journal on Applied Mathematics, 77(2) pp. 384​-408​.​ DOI: https://doi.org/10.1137/16M1086170 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Image Compression with the Region Based Easy Path Wavelet Transform​
    Budinich, R.​ (2017) 
    Proceedings in Applied Mathematics and Mechanics, 17(1) pp. 831​-832​.​ DOI: https://doi.org/10.1002/pamm.201710383 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​A Glimpse into Discrete Differential Geometry​
    Crane, K. & Wardetzky, M. ​ (2017) 
    Notices of the American Mathematical Society, 64(10) pp. 1153​-1159​.​ DOI: https://doi.org/10.1090/noti1578 
    ​Details  DOI 
  • 2017 | Thesis | Doctoral Thesis
    ​ ​Application of AAK theory for sparse approximation​
    Pototskaia, V.​ (2017)
    Georg-August-Universität Göttingen. 
    ​Details 
  • 2017 | Book Chapter
    ​ ​A Primer on Laplacians​
    Wardetzky, M. ​ (2017)
    In:​Hormann, Kai; Sukumar, N.​ (Eds.), Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. ​Boca Raton: ​CRC Press.
    ​Details 
  • 2017 | Journal Article
    ​ ​Seismic data interpolation and denoising by learning a tensor tight frame​
    Liu, L. ; Plonka, G.   & Ma, J.​ (2017) 
    Inverse Problems, 33(10) pp. 105011​.​ DOI: https://doi.org/10.1088/1361-6420/aa7773 
    ​Details  DOI 
  • 2017 | Journal Article | Research Paper
    ​ ​Attosecond electron pulse trains and quantum state reconstruction in ultrafast transmission electron microscopy​
    Priebe, K. E. ; Rathje, C.; Yalunin, S. V. ; Hohage, T. ; Feist, A. ; Schäfer, S.   & Ropers, C. ​ (2017) 
    Nature Photonics, 11(12) pp. 793​-797​.​ DOI: https://doi.org/10.1038/s41566-017-0045-8 
    ​Details  DOI  arXiv 
  • 2017 | Journal Article | Research Paper
    ​ ​Sparse FFT for Functions with Short Frequency Support​
    Bittens, S.​ (2017) 
    Dolomites Research Notes on Approximation, 10(Special Issue) pp. 43​-55​.​
    ​Details 
  • 2017 | Journal Article
    ​ ​Sparse phase retrieval of structured signals by Prony's method​
    Beinert, R. & Plonka, G. ​ (2017) 
    Proceedings in Applied Mathematics and Mechanics, 17(1) pp. 829​-830​.​ DOI: https://doi.org/10.1002/pamm.201710382 
    ​Details  DOI 
  • 2017 | Software
    ​ ​Symbolic Convex Analysis Toolkit (SCAT)​
    Luke, David Russell; Hamilton, C.  (2017)
    ​Details 
  • 2017 | Journal Article
    ​ ​Application of the AAK theory and Prony-like Methods for sparse approximation of exponential sums​
    Pototskaia, V. & Plonka, G. ​ (2017) 
    Proceedings in Applied Mathematics and Mechanics, 17(1) pp. 835​-836​.​ DOI: https://doi.org/10.1002/pamm.201710385 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Nonlinear integral equations for Bernoulli’s free boundary value problem in three dimensions​
    Ivanyshyn Yaman, O. & Kress, R. ​ (2017) 
    Computers & Mathematics with Applications, 74(11) pp. 2784​-2791​.​ DOI: https://doi.org/10.1016/j.camwa.2017.06.011 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Phase Retrieval, What's New?​
    Luke, R. ​ (2017) 
    SIAG/OPT Views and News, 25.​
    ​Details 
  • 2017 | Journal Article
    ​ ​Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods​
    Hohage, T.   & Weidling, F. ​ (2017) 
    SIAM Journal on Numerical Analysis, 55(2) pp. 598​-620​.​ DOI: https://doi.org/10.1137/16M1067445 
    ​Details  DOI  WoS 
  • 2017 | Thesis | Doctoral Thesis
    ​ ​A theory of discrete parametrized surfaces in R^3​
    Sageman-Furnas, A.​ (2017)
    University of Göttingen. 
    ​Details 
  • 2017 | Thesis | Doctoral Thesis
    ​ ​Origami Cylinders​
    Bös, F.​ (2017)
    University of Göttingen. 
    ​Details 
  • 2017 | Journal Article
    ​ ​Convergence analysis of general spectral methods​
    Mohammadi, M. & Schaback, R. ​ (2017) 
    Journal of Computational and Applied Mathematics, 313 pp. 284​-293​.​ DOI: https://doi.org/10.1016/j.cam.2016.09.031 
    ​Details  DOI  WoS 
  • 2017 | Journal Article
    ​ ​On Trefftz' integral equation for the Bernoulli free boundary value problem​
    Kress, R. ​ (2017) 
    Numerische Mathematik, 136(2) pp. 503​-522​.​ DOI: https://doi.org/10.1007/s00211-016-0847-5 
    ​Details  DOI  WoS 
  • 2017 | Journal Article
    ​ ​Lagrange multipliers, (exact) regularization and error bounds for monotone variational inequalities​
    Charitha, C. ; Dutta, J. & Luke, R. ​ (2017) 
    Mathematical Programming, 161(1-2) pp. 519​-549​.​ DOI: https://doi.org/10.1007/s10107-016-1022-6 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​A boundary integral equation method for the transmission eigenvalue problem​
    Cakoni, F. & Kress, R. ​ (2017) 
    Applicable Analysis, 96(1) pp. 23​-38​.​ DOI: https://doi.org/10.1080/00036811.2016.1189537 
    ​Details  DOI  WoS 
  • 2017 | Thesis | Bachelor Thesis
    ​ ​Model order reduction for linear PDE problems with the reduced basis method​
    Raulin, V.​ (2017)
    ​Details 
  • 2017 | Book Chapter
    ​ ​Direct numerical simulations of Taylor bubbles in a square mini-channel: Detailed shape and flow analysis with experimental validation​
    Marschall, H.; Falconi, C.; Lehrenfeld, C. ; Abiev, R.; Wörner, M.; Reusken, A.& Bothe, D.​ (2017)
    In: Transport Processes at Fluidic Interfaces pp. 663​-679. ​Springer.
    ​Details 
  • 2017 | Journal Article
    ​ ​Higher order unfitted finite element methods for interface problems​
    Lehrenfeld, C. ​ (2017) 
    Oberwolfach Reports, 6.​
    ​Details 
  • 2017 | Book Chapter
    ​ ​High order unfitted finite element methods for interface problems and PDEs on surfaces​
    Lehrenfeld, C.  & Reusken, A.​ (2017)
    In: Transport Processes at Fluidic Interfaces pp. 33​-63. ​Springer.
    ​Details 
  • 2017 | Journal Article | Research Paper
    ​ ​Sequential subspace optimization for nonlinear inverse problems​
    Wald, A.   & Schuster, T.​ (2017) 
    Journal of Inverse and Ill-posed Problems, 25(1).​ DOI: https://doi.org/10.1515/jiip-2016-0014 
    ​Details  DOI 
  • 2017 | Book Chapter
    ​ ​Error Analysis of Nodal Meshless Methods​
    Schaback, R. ​ (2017)
    In:​Griebel, Michael; Schweitzer, Marc Alexander​ (Eds.), Meshfree Methods for Partial Differential Equations VIII pp. 117​-143. ​Springer. DOI: https://doi.org/10.1007/978-3-319-51954-8_7 
    ​Details  DOI 
  • 2017 | Conference Paper
    ​ ​Refined performance guarantees for Sparse Power Factorization​
    Geppert, J. A.; Krahmer, F.   & Stoger, D.​ (2017)
    pp. 509​-513. ​2017 International Conference on Sampling Theory and Applications (SampTA)​, Tallinn, Estonia. DOI: https://doi.org/10.1109/SAMPTA.2017.8024391 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​A note on the penalty parameter in Nitsche's method for unfitted boundary value problems​
    de Prenter, F.; Lehrenfeld, C.   & Massing, A.​ (2017) 
    Computers & Mathematics with Applications, 75(12) pp. 4322​-4336​.​ DOI: https://doi.org/10.1016/j.camwa.2018.03.032 
    ​Details  DOI  arXiv 
  • 2017 | Journal Article
    ​ ​Regularity properties of non-negative sparsity sets​
    Tam, M. K. ​ (2017) 
    Journal of Mathematical Analysis and Applications, 447(2) pp. 758​-777​.​ DOI: https://doi.org/10.1016/j.jmaa.2016.10.040 
    ​Details  DOI  WoS 
  • 2017 | Journal Article
    ​ ​Deterministic sparse FFT for M-sparse vectors​
    Plonka, G. ; Wannenwetsch, K. ; Cuyt, A. & Lee, W.-s.​ (2017) 
    Numerical Algorithms, 78(1) pp. 133​-159​.​ DOI: https://doi.org/10.1007/s11075-017-0370-5 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Kernel-based adaptive approximation of functions with discontinuities​
    Lenarduzzi, L. & Schaback, R. ​ (2017) 
    Applied Mathematics and Computation, 307 pp. 113​-123​.​ DOI: https://doi.org/10.1016/j.amc.2017.02.043 
    ​Details  DOI  WoS 
  • 2017 | Journal Article
    ​ ​A region-based easy-path wavelet transform for sparse image representation​
    Budinich, R.​ (2017) 
    International Journal of Wavelets, Multiresolution and Information Processing, 15(05) pp. 1750045​.​ DOI: https://doi.org/10.1142/S021969131750045X 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​The heat method for distance computation​
    Crane, K.; Weischedel, C.   & Wardetzky, M. ​ (2017) 
    Communications of the ACM, 60(11) pp. 90​-99​.​ DOI: https://doi.org/10.1145/3131280 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Characterization of Local Besov Spaces via Wavelet Basis Expansions​
    Derevianko, N. ; Myroniuk, V. & Prestin, J.​ (2017) 
    Frontiers in Applied Mathematics and Statistics, 3.​ DOI: https://doi.org/10.3389/fams.2017.00004 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​A sparse fast Fourier algorithm for real non-negative vectors​
    Plonka, G.   & Wannenwetsch, K. ​ (2017) 
    Journal of Computational and Applied Mathematics, 321 pp. 532​-539​.​ DOI: https://doi.org/10.1016/j.cam.2017.03.019 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Optimal stencils in Sobolev spaces​
    Davydov, O. & Schaback, R. ​ (2017) 
    IMA Journal of Numerical Analysis,.​ DOI: https://doi.org/10.1093/imanum/drx076 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems​
    Weidling, F.   & Hohage, T. ​ (2017) 
    Inverse Problems and Imaging, 11(1) pp. 203​-220​.​ DOI: https://doi.org/10.3934/ipi.2017010 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​A simple globally convergent algorithm for the nonsmooth nonconvex single source localization problem​
    Luke, D. R. ; Sabach, S.; Teboulle, M. & Zatlawey, K.​ (2017) 
    Journal of Global Optimization, 69(4) pp. 889​-909​.​ DOI: https://doi.org/10.1007/s10898-017-0545-6 
    ​Details  DOI 
  • 2017 | Journal Article | 
    ​ ​Computational helioseismology in the frequency domain: acoustic waves in axisymmetric solar models with flows​
    Gizon, L. ; Barucq, H.; Duruflé, M.; Hanson, C.; Leguèbe, M.; Birch, A. C.   & Chabassier, J. et al.​ (2017) 
    Astronomy & Astrophysics, 600 pp. 1​-23​.​ DOI: https://doi.org/10.1051/0004-6361/201629470 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Functional Thin Films on Surfaces​
    Vantzos, O.; Azencot, O.; Rumpf, M.; Ben-Chen, M. & Wardetzky, M. ​ (2017) 
    IEEE Transactions on Visualization and Computer Graphics, 23(3) pp. 1179​-1192​.​ DOI: https://doi.org/10.1109/TVCG.2016.2605083 
    ​Details  DOI  PMID  PMC 
  • 2017 | Journal Article
    ​ ​Semi-local tractography strategies using neighborhood information​
    Schomburg, H.   & Hohage, T. ​ (2017) 
    Medical Image Analysis, 38 pp. 165​-183​.​ DOI: https://doi.org/10.1016/j.media.2017.03.003 
    ​Details  DOI  PMID  PMC 
  • 2016 | Journal Article
    ​ ​A first-order primal-dual algorithm with linesearch​
    Malitsky, Y. & Pock, T.​ (2016) 
    SIAM Journal on Optimization, 28(1) pp. 411​-432​.​ DOI: https://doi.org/10.1137/16M1092015 
    ​Details  DOI 
  • 2016 | Journal Article | Research Paper | 
    ​ ​Using sparsity information for iterative phase retrieval in x-ray propagation imaging​
    Pein, A.; Loock, S.; Plonka-Hoch, G.   & Salditt, T. ​ (2016) 
    Optics Express, 24(8) art. 8332​.​ DOI: https://doi.org/10.1364/oe.24.008332 
    ​Details  DOI  PMID  PMC 
  • 2016 | Journal Article | Research Paper | 
    ​ ​Regularized Newton methods for x-ray phase contrast and general imaging problems​
    Maretzke, S. ; Bartels, M. ; Krenkel, M.; Salditt, T.   & Hohage, T. ​ (2016) 
    Optics Express, 24(6) pp. 6490​-6506​.​ DOI: https://doi.org/10.1364/OE.24.006490 
    ​Details  DOI  PMID  PMC  WoS 
  • 2016 | Report
    ​ ​Removing the stabilization parameter in fitted and unfitted symmetric Nitsche formulations​
    Lehrenfeld, C. ​ (2016). DOI: https://doi.org/10.7712/100016 
    ​Details  DOI  arXiv 
  • 2016 | Journal Article
    ​ ​Pinsker estimators for local helioseismology: inversion of travel times for mass-conserving flows​
    Fournier, D. ; Gizon, L. ; Holzke, M. & Hohage, T. ​ (2016) 
    Inverse Problems, 32(10) pp. 1​-27​.​ DOI: https://doi.org/10.1088/0266-5611/32/10/105002 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​On the incompressibility of cylindrical origami patterns​
    Bös, F.; Vouga, E.; Gottesman, O. & Wardetzky, M. ​ (2016) 
    J. Mech. Des, 139(2).​ DOI: https://doi.org/10.1115/1.4034970 
    ​Details  DOI  arXiv 
  • 2016 | Journal Article
    ​ ​Non-negativity constraints in the one-dimensional discrete-time phase retrieval problem​
    Beinert, R. ​ (2016) 
    Information and Inference, pp. iaw018​.​ DOI: https://doi.org/10.1093/imaiai/iaw018 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​All well-posed problems have uniformly stable and convergent discretizations​
    Schaback, R. ​ (2016) 
    Numerische Mathematik, 132(3) pp. 597​-630​.​ DOI: https://doi.org/10.1007/s00211-015-0731-8 
    ​Details  DOI  WoS 
  • 2016 | Journal Article
    ​ ​Pseudo-inverses of difference matrices and their application to sparse signal approximation​
    Plonka, G. ; Hoffmann, S. & Weickert, J.​ (2016) 
    Linear Algebra and its Applications, 503 pp. 26​-47​.​ DOI: https://doi.org/10.1016/j.laa.2016.03.033 
    ​Details  DOI 
  • 2016 | Thesis | Doctoral Thesis
    ​ ​Deterministic Sparse FFT Algorithms​
    Wannenwetsch, K.​ (2016)
    Georg-August-Universität Göttingen. 
    ​Details 
  • 2016 | Journal Article
    ​ ​Error bounds for kernel-based numerical differentiation​
    Davydov, O. & Schaback, R. ​ (2016) 
    Numerische Mathematik, 132(2) pp. 243​-269​.​ DOI: https://doi.org/10.1007/s00211-015-0722-9 
    ​Details  DOI  WoS 
  • 2016 | Journal Article
    ​ ​Splines in the Space of Shells​
    Heeren, B.; Rumpf, M.; Schröder, P.; Wardetzky, M.   & Wirth, B.​ (2016) 
    Computer Graphics Forum, 35(5) pp. 111​-120​.​ DOI: https://doi.org/10.1111/cgf.12968 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​Inverse Problems with Poisson Data: statistical regularization theory, applications and algorithms​
    Hohage, T.   & Werner, F. ​ (2016) 
    Inverse Problems, 32.​ DOI: https://doi.org/10.1088/0266-5611/32/9/093001 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​One-Dimensional Phase Retrieval with Additional Interference Intensity Measurements​
    Beinert, R. ​ (2016) 
    Results in Mathematics, 72(1-2) pp. 1​-24​.​ DOI: https://doi.org/10.1007/s00025-016-0633-9 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​Asymmetric chirplet transform — Part 2: Phase, frequency, and chirp rate​
    Boßmann, F. & Ma, J.​ (2016) 
    Geophysics, 81(6) pp. V425​-V439​.​ DOI: https://doi.org/10.1190/geo2015-0696.1 
    ​Details  DOI  WoS 
  • 2016 | Thesis | Doctoral Thesis
    ​ ​Phase Retrieval with Sparsity Constraints​
    Loock, S.​ (2016)
    Georg-August-Universität Göttingen. 
    ​Details 
  • 2016 | Thesis | Doctoral Thesis
    ​ ​On the mechanics of biopolymer networks​
    Heidemann, K.​ (2016)
    University of Göttingen. 
    ​Details 
  • 2016 | Preprint
    ​ ​Application of the AAK theory for sparse approximation of exponential sums​
    Plonka-Hoch, G.  & Pototskaia, V.​ (2016)
    ​Details  arXiv 
  • 2016 | Journal Article
    ​ ​Convergence Rates for Exponentially Ill-Posed Inverse Problems with Impulsive Noise​
    König, C.; Werner, F.   & Hohage, T. ​ (2016) 
    SIAM Journal on Numerical Analysis, 54(1) pp. 341​-360​.​ DOI: https://doi.org/10.1137/15M1022252 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​Sparse approximation by Prony's method and AAK theory​
    Plonka-Hoch, G.   & Pototskaia, V.​ (2016) 
    Oberwolfach Reports, 33 pp. 16​-19​.​
    ​Details 
  • 2016 | Journal Article | Research Paper
    ​ ​Regularity of Collections of Sets and Convergence of Inexact Alternating Projections​
    Kruger, A. Y. & Thao, N. H. ​ (2016) 
    Journal of Convex Analysis, 23(3) pp. 823​-847​.​
    ​Details 
  • 2016 | Journal Article
    ​ ​Local Linear Convergence of the ADMM/Douglas - Rachford Algorithms without Strong Convexity and Application to Statistical Imaging​
    Aspelmeier, T. ; Charitha, C.   & Luke, R. ​ (2016) 
    SIAM Journal on Imaging Sciences, 9(2) pp. 842​-868​.​ DOI: https://doi.org/10.1137/15m103580x 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​Optimal preconditioners for Nitsche-XFEM discretizations of interface problems​
    Lehrenfeld, C.   & Reusken, A.​ (2016) 
    Numerische Mathematik, 135(2) pp. 313​-332​.​ DOI: https://doi.org/10.1007/s00211-016-0801-6 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​Approximation of eigenfunctions in kernel-based spaces​
    Santin, G. & Schaback, R. ​ (2016) 
    Advances in Computational Mathematics, 42(4) pp. 973​-993​.​ DOI: https://doi.org/10.1007/s10444-015-9449-5 
    ​Details  DOI  WoS 
  • 2016 | Journal Article
    ​ ​Iterative Phase Retrieval with Sparsity Constraints​
    Loock, S. & Plonka-Hoch, G. ​ (2016) 
    Proceedings in Applied Mathematics and Mechanics, 16(1) pp. 835​-836​.​ DOI: https://doi.org/10.1002/pamm.201610406 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​A conformal mapping algorithm for the Bernoulli free boundary value problem​
    Haddar, H. & Kress, R. ​ (2016) 
    Mathematical Methods in the Applied Sciences, 39(10) pp. 2477​-2487​.​ DOI: https://doi.org/10.1002/mma.3708 
    ​Details  DOI  WoS 
  • 2016 | Journal Article
    ​ ​Higher order unfitted FEM for Stokes interface problems​
    Lederer, P.; Pfeiler, C.-M.; Wintersteiger, C. & Lehrenfeld, C. ​ (2016) 
    Proceedings in Applied Mathematics and Mechanics, 16(1) pp. 7​-10​.​ DOI: https://doi.org/10.1002/pamm.201610003 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​A 2 x 2 Lax Representation, Associated Family, and Backlund Transformation for Circular K-Nets​
    Hoffmann, T. & Sageman-Furnas, A. O.​ (2016) 
    Discrete & Computational Geometry, 56(2) pp. 472​-501​.​ DOI: https://doi.org/10.1007/s00454-016-9802-6 
    ​Details  DOI  WoS 
  • 2016 | Journal Article
    ​ ​Hardy space infinite elements for time harmonic wave equations with phase and group velocities of different signs​
    Halla, M. ; Hohage, T. ; Nannen, L. & Schöberl, J.​ (2016) 
    Numer. Math., 133 pp. 103​-139​.​ DOI: https://doi.org/10.1007/s00211-015-0739-0 
    ​Details  DOI 
  • 2016 | Journal Article | Research Paper | 
    ​ ​Still and rotating myosin clusters determine cytokinetic ring constriction​
    Wollrab, V.; Thiagarajan, R.; Wald, A. ; Kruse, K. & Riveline, D.​ (2016) 
    Nature Communications, 7(1) pp. 11860​.​ DOI: https://doi.org/10.1038/ncomms11860 
    ​Details  DOI  PMID  PMC 
  • 2015 | Journal Article | Research Paper | 
    ​ ​Validity of the empty-beam correction in near-field imaging​
    Homann, C.; Hohage, T. ; Hagemann, J.; Robisch, A.-L. & Salditt, T. ​ (2015) 
    Physical Review. A, 91(1) art. 013821​.​ DOI: https://doi.org/10.1103/PhysRevA.91.013821 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Relation between total variation and persistence distance and its application in signal processing​
    Plonka-Hoch, G.   & Zheng, Y.​ (2015) 
    Advances in Computational Mathematics, 42(3) pp. 651​-674​.​ DOI: https://doi.org/10.1007/s10444-015-9438-8 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Proximal Heterogeneous Block Implicit-Explicit Method and Application to Blind Ptychographic Diffraction Imaging​
    Hesse, R.; Luke, R. ; Sabach, S. & Tam, M. K. ​ (2015) 
    SIAM Journal on Imaging Sciences, 8(1) pp. 426​-457​.​ DOI: https://doi.org/10.1137/14098168x 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Ambiguities in One-Dimensional Discrete Phase Retrieval from Fourier Magnitudes​
    Beinert, R.   & Plonka-Hoch, G. ​ (2015) 
    Journal of Fourier Analysis and Applications, 21(6) pp. 1169​-1198​.​ DOI: https://doi.org/10.1007/s00041-015-9405-2 
    ​Details  DOI 
  • 2015 | Conference Paper
    ​ ​Discrete Green’s Functions for Harmonic and Biharmonic Inpainting with Sparse Atoms​
    Hoffmann, S.; Plonka-Hoch, G.   & Weickert, J.​ (2015)
    In:Tai, Xue-Cheng​ (Ed.), ​Energy minimization methods in computer vision and pattern recognition pp. 169​-182. ​10th international conference, EMMCVPR 2015​, Hong Kong.
    Cham​: Springer Nature. DOI: https://doi.org/10.1007/978-3-319-14612-6_13 
    ​Details  DOI 
  • 2015 | Thesis | Doctoral Thesis
    ​ ​Application of persistent homology in signal and image denoising​
    Zheng, Y.​ (2015)
    Georg-August-Universität Göttingen. 
    ​Details 
  • 2015 | Journal Article
    ​ ​Linear Widths of the Classes S^Ω_{p,θ}B of Periodic Functions of Many Variables​
    Derevianko, N.   & Cheremshyns’ka, O. I.​ (2015) 
    Transactions of Institute of Mathematics of NAS of Ukraine, 12(4) pp. 165​-185​.​
    ​Details 
  • 2015 | Journal Article
    ​ ​Persistence Barcodes Versus Kolmogorov Signatures: Detecting Modes of One-Dimensional Signals​
    Bauer, U.; Munk, A. ; Sieling, H.   & Wardetzky, M. ​ (2015) 
    Foundations of Computational Mathematics, 17(1) pp. 1​-33​.​ DOI: https://doi.org/10.1007/s10208-015-9281-9 
    ​Details  DOI 
  • 2015 | Journal Article | Research Paper
    ​ ​On convergence rates for iteratively regularized Newton-type methods under a Lipschitz-type nonlinearity condition​
    Werner, F.​ (2015) 
    Journal of Inverse and Ill-posed Problems, 23(1).​ DOI: https://doi.org/10.1515/jiip-2013-0074 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Convergence of infinite element methods for scalar waveguide problems​
    Hohage, T.   & Nannen, L.​ (2015) 
    BIT Numerical Mathematics, 55(1) pp. 215​-254​.​ DOI: https://doi.org/10.1007/s10543-014-0525-x 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Radial kernels via scale derivatives​
    Bozzini, M.; Rossini, M.; Schaback, R.   & Volonte, E.​ (2015) 
    Advances in Computational Mathematics, 41(2) pp. 277​-291​.​ DOI: https://doi.org/10.1007/s10444-014-9366-z 
    ​Details  DOI  WoS 
  • 2015 | Book Chapter
    ​ ​Integral equations​
    Kreß, R. ​ (2015)
    In: The Princeton Companion to Applied Mathematics pp. 200​-207. ​Princeton: ​Princeton University Press.
    ​Details 
  • 2015 | Journal Article
    ​ ​A Partial Derandomization of PhaseLift Using Spherical Designs​
    Gross, D.; Krahmer, F. & Kueng, R.​ (2015) 
    Journal of Fourier Analysis and Applications, 21(2) pp. 229​-266​.​ DOI: https://doi.org/10.1007/s00041-014-9361-2 
    ​Details  DOI  WoS 
  • 2015 | Journal Article
    ​ ​Fast Subspace Approximation Via Greedy Least-Squares​
    Iwen, M. A. & Krahmer, F.​ (2015) 
    Constructive Approximation, 42(2) pp. 281​-301​.​ DOI: https://doi.org/10.1007/s00365-014-9273-z 
    ​Details  DOI  WoS 
  • 2015 | Encyclopedia Article
    ​ ​Curvelets​
    Plonka, G.  & Ma, J.​ (2015)
    In:Engquist, B.​ (Ed.), Encyclopedia of Applied and Computational Mathematics pp. 320​-321. 
    Berlin​: Springer.
    ​Details 
  • 2015 | Journal Article
    ​ ​Direct meshless kernel techniques for time-dependent equations​
    Hong, Y.-C. & Schaback, R. ​ (2015) 
    Applied Mathematics and Computation, 258 pp. 220​-226​.​ DOI: https://doi.org/10.1016/j.amc.2014.12.140 
    ​Details  DOI  WoS 
  • 2015 | Conference Paper
    ​ ​Functional Thin Films on Surfaces​
    Azencot, O.; Vantzos, O.; Wardetzky, M. ; Rumpf, M. & Ben-Chen, M.​ (2015)
    ​Proceedings. ​ACM Symposium on Computer Animation​, Los Angeles.
    ​Details 
  • 2015 | Book Chapter
    ​ ​Activity Identification and Local Linear Convergence of Douglas–Rachford/ADMM under Partial Smoothness​
    Liang, J.; Fadili, J.; Peyré, G.& Luke, R. ​ (2015)
    In:​Aujol, J. F.; Nikolova, M.; Papadakis, N.​ (Eds.), Scale Space and Variational Methods in Computer Vision pp. 642​-653. (Vol. 9087). ​Cham: ​Springer. DOI: https://doi.org/10.1007/978-3-319-18461-6_51 
    ​Details  DOI 
  • 2015 | Journal Article | Research Paper
    ​ ​A coherence enhancing penalty for diffusion MRI: Regularizing property and discrete approximation​
    Hohage, T.   & Rügge, C. ​ (2015) 
    SIAM J. Imaging Sci., 8(3) pp. 1874​-1893​.​ DOI: https://doi.org/10.1137/140998767 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Verification of a variational source condition for acoustic inverse medium scattering problems​
    Hohage, T.   & Weidling, F. ​ (2015) 
    Inverse Problems, 31(7) art. 075006​.​ DOI: https://doi.org/10.1088/0266-5611/31/7/075006 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Asymmetric chirplet transform for sparse representation of seismic data​
    Bossmann, F. & Ma, J.​ (2015) 
    Geophysics, 80(6) pp. WD89​-WD100​.​ DOI: https://doi.org/10.1190/GEO2015-0063.1 
    ​Details  DOI  WoS 
  • 2015 | Thesis | Doctoral Thesis
    ​ ​Ambiguities in one-dimensional phase retrieval from Fourier magnitudes​
    Beinert, R.​ (2015)
    Georg-August-Universität Göttingen. 
    ​Details 
  • 2015 | Journal Article
    ​ ​A nonlinear integral equation and an iterative algorithm for an inverse source problem​
    Kress, R.   & Rundell, W.​ (2015) 
    Journal of Integral Equations and Applications, 27(2) pp. 179​-198​.​ DOI: https://doi.org/10.1216/JIE-2015-27-2-179 
    ​Details  DOI  WoS 
  • 2015 | Journal Article
    ​ ​A uniqueness result for propagation-based phase contrast imaging from a single measurement​
    Maretzke, S. ​ (2015) 
    Inverse Problems, 31(6) art. 065003​.​ DOI: https://doi.org/10.1088/0266-5611/31/6/065003 
    ​Details  DOI  WoS 
  • 2015 | Conference Paper
    ​ ​Meltables: Fabrication of Complex 3D Curves by Melting​
    Sageman-Furnas, A. O.; Umetani, N. & Schmidt, R.​ (2015)
    ​Conference Proceedings. ​ACM SIGGRAPH Asia​
    ​Details 
  • 2015 | Journal Article
    ​ ​Towards a curvature theory for general quad meshes​
    Sageman-Furnas, A. O.; Hoffmann, T. & Wardetzky, M. ​ (2015) 
    Oberwolfach Reports, 13.​
    ​Details 
  • 2015 | Book Chapter
    ​ ​Duality and Convex Programming​
    Borwein, J. M.& Luke, R. ​ (2015)
    In:​Scherzer, Otmar​ (Ed.), Handbook of Mathematical Methods in Imaging. 2. ed.. ​New York, NY: ​Springer. DOI: https://doi.org/10.1007/978-1-4939-0790-8_7 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Interpolation with variably scaled kernels​
    Bozzini, M.; Lenarduzzi, L.; Rossini, M. & Schaback, R. ​ (2015) 
    IMA Journal of Numerical Analysis, 35(1) pp. 199​-219​.​ DOI: https://doi.org/10.1093/imanum/drt071 
    ​Details  DOI  WoS 
  • 2015 | Journal Article
    ​ ​An Induction Theorem and Nonlinear Regularity Models​
    Khanh, P. Q.; Kruger, A. Y. & Thao, N. H. ​ (2015) 
    SIAM Journal on Optimization, 25(4) pp. 2561​-2588​.​ DOI: https://doi.org/10.1137/140991157 
    ​Details  DOI  WoS 
  • 2015 | Journal Article
    ​ ​Deterministic sparse FFT algorithms​
    Plonka-Hoch, G.   & Wannenwetsch, K. ​ (2015) 
    Proceedings in Applied Mathematics and Mechanics, 15(1) pp. 667​-668​.​ DOI: https://doi.org/10.1002/pamm.201510323 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Prony's Method for Multivariate Signals​
    Peter, T.; Plonka-Hoch, G.   & Schaback, R. ​ (2015) 
    Proceedings in Applied Mathematics and Mechanics, 15(1) pp. 665​-666​.​ DOI: https://doi.org/10.1002/pamm.201510322 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Ambiguities in one-dimensional phase retrieval of structured functions​
    Beinert, R.   & Plonka-Hoch, G. ​ (2015) 
    Proceedings in Applied Mathematics and Mechanics, 15(1) pp. 653​-654​.​ DOI: https://doi.org/10.1002/pamm.201510316 
    ​Details  DOI 
  • 2015 | Book Chapter
    ​ ​Finite element techniques for the numerical simulation of two-phase flows with mass transport​
    Lehrenfeld, C.  & Reusken, A.​ (2015)
    In: Computational Methods for Complex Liquid-Fluid Interfaces pp. 353​-372. 
    ​Details 
  • 2015 | Journal Article
    ​ ​Validity of the empty-beam correction in near-field imaging​
    Homann, C.; Hohage, T. ; Hagemann, J. ; Robisch, A.-L.   & Salditt, T. ​ (2015) 
    Physical Review A, 91(2) art. 029905​.​ DOI: https://doi.org/10.1103/PhysRevA.91.029905 
    ​Details  DOI  WoS 
  • 2015 | Encyclopedia Article
    ​ ​Multivariate Approximation​
    Schaback, R. ​ (2015)
    Encyclopedia of Applied and Computational Mathematics 
    Berlin​: Springer.
    ​Details 
  • 2015 | Thesis | Doctoral Thesis
    ​ ​On a Space-Time Extended Finite Element Method for the Solution of a Class of Two-Phase Mass Transport Problems​
    Lehrenfeld, C. ​ (2015)
    RWTH Aachen. 
    ​Details 
  • 2015 | Encyclopedia Article
    ​ ​Shift-Invariant Approximation​
    Schaback, R. ​ (2015)
    Encyclopedia of Applied and Computational Mathematics 
    Berlin​: Springer.
    ​Details 
  • 2015 | Journal Article
    ​ ​A deterministic sparse FFT algorithm for vectors with small support​
    Plonka-Hoch, G.   & Wannenwetsch, K. ​ (2015) 
    Numerical Algorithms, 71(4) pp. 889​-905​.​ DOI: https://doi.org/10.1007/s11075-015-0028-0 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows​
    Lehrenfeld, C.   & Schöberl, J.​ (2015) 
    Computer Methods in Applied Mechanics and Engineering, 307 pp. 339​-361​.​ DOI: https://doi.org/10.1016/j.cma.2016.04.025 
    ​Details  DOI  arXiv 
  • 2015 | Journal Article
    ​ ​High order unfitted finite element methods on level set domains using isoparametric mappings​
    Lehrenfeld, C. ​ (2015) 
    Computer Methods in Applied Mechanics and Engineering, 300 pp. 716​-733​.​ DOI: https://doi.org/10.1016/j.cma.2015.12.005 
    ​Details  DOI  arXiv 
  • 2015 | Journal Article
    ​ ​A computational tool for comparing all linear PDE solvers​
    Schaback, R. ​ (2015) 
    Advances in Computational Mathematics, 41(2) pp. 333​-355​.​ DOI: https://doi.org/10.1007/s10444-014-9360-5 
    ​Details  DOI  WoS 
  • 2015 | Journal Article
    ​ ​Reconstruction of polygonal shapes from sparse Fourier samples​
    Wischerhoff, M. & Plonka-Hoch, G. ​ (2015) 
    Journal of Computational and Applied Mathematics, 297 pp. 117​-131​.​ DOI: https://doi.org/10.1016/j.cam.2015.11.013 
    ​Details  DOI 
  • 2015 | Journal Article | Research Paper
    ​ ​Computing and analyzing recoverable supports for sparse reconstruction​
    Kruschel, C. & Lorenz, D. A.​ (2015) 
    Advances in Computational Mathematics, 41(6) pp. 1119​-1144​.​ DOI: https://doi.org/10.1007/s10444-015-9403-6 
    ​Details  DOI  WoS 
  • 2015 | Journal Article | 
    ​ ​Testable uniqueness conditions for empirical assessment of undersampling levels in total variation-regularized X-ray CT​
    Jørgensen, J.; Kruschel, C. & Lorenz, D. A.​ (2015) 
    Inverse Problems in Science and Engineering, 23(8) pp. 1283​-1305​.​ DOI: https://doi.org/10.1080/17415977.2014.986724 
    ​Details  DOI 
  • 2015 | Journal Article | 
    ​ ​Elasticity of 3D networks with rigid filaments and compliant crosslinks​
    Heidemann, K. M.; Sharma, A.; Rehfeldt, F.; Schmidt, C. F. & Wardetzky, M. ​ (2015) 
    Soft Matter, 11(2) pp. 343​-354​.​ DOI: https://doi.org/10.1039/c4sm01789g 
    ​Details  DOI  PMID  PMC  WoS 
  • 2014 | Journal Article | Research Paper | 
    ​ ​Reconstruction of wave front and object for inline holography from a set of detection planes​
    Hagemann, J. ; Robisch, A.-L. ; Luke, D. R. ; Homann, C.; Hohage, T. ; Cloetens, P. & Suhonen, H. et al.​ (2014) 
    Optics Express, 22(10) pp. 11552​-11569​.​ DOI: https://doi.org/10.1364/OE.22.011552 
    ​Details  DOI  PMID  PMC  WoS 
  • 2014 | Journal Article
    ​ ​Iterative estimation of solutions to noisy nonlinear operator equations in nonparametric instrumental regression​
    Dunker, F.; Florens, J.-P.; Hohage, T. ; Johannes, J. & Mammen, E.​ (2014) 
    Journal of Econometrics, 178 pp. 444​-455​.​ DOI: https://doi.org/10.1016/j.jeconom.2013.06.001 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Phase retrieval for Fresnel measurements using a shearlet sparsity constraint​
    Loock, S. & Plonka-Hoch, G. ​ (2014) 
    Inverse Problems, 30(5) art. 055005​.​ DOI: https://doi.org/10.1088/0266-5611/30/5/055005 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Simultaneous reconstruction of shape and generalized impedance functions in electrostatic imaging​
    Cakoni, F.; Hu, Y. & Kress, R. ​ (2014) 
    Inverse Problems, 30(10) art. 105009​.​ DOI: https://doi.org/10.1088/0266-5611/30/10/105009 
    ​Details  DOI  WoS 
  • 2014 | Thesis | Doctoral Thesis
    ​ ​Generalized Prony Method​
    Peter, T.​ (2014)
    Der Andere Verlag.
    ​Details 
  • 2014 | Journal Article
    ​ ​A Meshless Method for Solving the 2D Brusselator Reaction-Diffusion System​
    Mohammadi, M.; Mokhtari, R. & Schaback, R. ​ (2014) 
    Computer Modeling in Engineering & Sciences, 101(2) pp. 113​-138​.​
    ​Details  WoS 
  • 2014 | Journal Article
    ​ ​Solving heat conduction problems by the Direct Meshless Local Petrov-Galerkin (DMLPG) method​
    Mirzaei, D. & Schaback, R. ​ (2014) 
    Numerical Algorithms, 65(2) pp. 275​-291​.​ DOI: https://doi.org/10.1007/s11075-013-9711-1 
    ​Details  DOI  WoS 
  • 2014 | Journal Article
    ​ ​An RIP-Based Approach to Sigma Delta Quantization for Compressed Sensing​
    Feng, J.-M. & Krahmer, F.​ (2014) 
    IEEE Signal Processing Letters, 21(11) pp. 1351​-1355​.​ DOI: https://doi.org/10.1109/LSP.2014.2336700 
    ​Details  DOI  WoS 
  • 2014 | Journal Article
    ​ ​Alternating Projections and Douglas-Rachford for Sparse Affine Feasibility​
    Hesse, R.; Luke, R.   & Neumann, P.​ (2014) 
    IEEE Transactions on Signal Processing, 62(18) pp. 4868​-4881​.​ DOI: https://doi.org/10.1109/tsp.2014.2339801 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Prony methods for recovery of structured functions​
    Plonka-Hoch, G.   & Tasche, M.​ (2014) 
    GAMM-Mitteilungen, 37(2) pp. 239​-258​.​ DOI: https://doi.org/10.1002/gamm.201410011 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Estimations of Linear Widths of the Classes B^Ω_{p,θ} of Periodic Functions of Many Variables in the Space L_q​
    Derevianko, N. ​ (2014) 
    Ukrainian Mathematical Journal, 66(7) pp. 1013​-1027​.​
    ​Details 
  • 2014 | Journal Article
    ​ ​Convergence Rates for Inverse Problems with Impulsive Noise​
    Hohage, T.   & Werner, F. ​ (2014) 
    SIAM Journal on Numerical Analysis, 52(3) pp. 1203​-1221​.​ DOI: https://doi.org/10.1137/130932661 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Suprema of Chaos Processes and the Restricted Isometry Property​
    Krahmer, F.; Mendelson, S. & Rauhut, H.​ (2014) 
    Communications on Pure and Applied Mathematics, 67(11) pp. 1877​-1904​.​ DOI: https://doi.org/10.1002/cpa.21504 
    ​Details  DOI  WoS 
  • 2014 | Journal Article
    ​ ​Analysis of a kinematic dynamo model with FEM-BEM coupling​
    Lemster, W.; Lube, G. ; Of, G. & Steinbach, O.​ (2014) 
    Mathematical Methods in the Applied Sciences, 37(16) pp. 2484​-2501​.​ DOI: https://doi.org/10.1002/mma.2991 
    ​Details  DOI  WoS 
  • 2014 | Journal Article
    ​ ​On parameter identification in stochastic differential equations by penalized maximum likelihood​
    Dunker, F. & Hohage, T. ​ (2014) 
    Inverse Problems, 30(9) pp. 1​-20​.​ DOI: https://doi.org/10.1088/0266-5611/30/9/095001 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Wire mesh design​
    Garg, A.; Sageman-Furnas, A. O. ; Deng, B.; Yue, Y.; Grinspun, E.; Pauly, M. & Wardetzky, M. ​ (2014) 
    ACM Transactions on Graphics, 33(4) pp. 1​-12​.​ DOI: https://doi.org/10.1145/2601097.2601106 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Functional Fluids on Surfaces​
    Azencot, O.; Weißmann, S.; Ovsjanikov, M.; Wardetzky, M.   & Ben-Chen, M.​ (2014) 
    Computer Graphics forum, 33(5) pp. 237​-246​.​ DOI: https://doi.org/10.1111/cgf.12449 
    ​Details  DOI 
  • 2014 | Thesis | Doctoral Thesis
    ​ ​Reconstruction of Structured Functions from Sparse Fourier Data​
    Wischerhoff, M.​ (2014)
    Georg-August-Universität Göttingen. 
    ​Details 
  • 2014 | Thesis | Doctoral Thesis
    ​ ​Model based defect reconstruction in ultrasonic non-destructive testing​
    Boßmann, F.​ (2014)
    Uelvesbüll​: Der Andere Verlag.
    ​Details 
  • 2014 | Journal Article
    ​ ​Estimates of Linear Widths of the Classes H^Ω_p of Periodic Functions of Many Variables in the Space L_q​
    Derevianko, N. ​ (2014) 
    Transactions of Institute of Mathematics of NAS of Ukraine, 11(3) pp. 128​-145​.​
    ​Details 
  • 2014 | Journal Article
    ​ ​Sparse matrices in frame theory​
    Krahmer, F.; Kutyniok, G. & Lemvig, J.​ (2014) 
    Computational Statistics, 29(3-4) pp. 547​-568​.​ DOI: https://doi.org/10.1007/s00180-013-0446-1 
    ​Details  DOI  WoS 
  • 2014 | Monograph
    ​ ​Linear Integral Equations​ ​(3. ed.) 
    Kress, R. ​ (2014)
    New York, NY​: Springer. DOI: https://doi.org/10.1007/978-1-4614-9593-2 
    ​Details  DOI 
  • 2014 | Thesis | Doctoral Thesis
    ​ ​Variational Convergence and Discrete Minimal Surfaces​
    Schumacher, H.​ (2014)
    University of Göttingen. 
    ​Details 
  • 2014 | Journal Article
    ​ ​Geometry processing from an elastic perspective​
    Rumpf, M. & Wardetzky, M. ​ (2014) 
    GAMM-Mitteilungen, 37(2) pp. 184​-216​.​ DOI: https://doi.org/10.1002/gamm.201410009 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Greedy sparse linear approximations of functionals from nodal data​
    Schaback, R. ​ (2014) 
    Numerical Algorithms, 67(3) pp. 531​-547​.​ DOI: https://doi.org/10.1007/s11075-013-9806-8 
    ​Details  DOI  WoS 
  • 2014 | Journal Article
    ​ ​Local Sampling and Approximation of Operators with Bandlimited Kohn-Nirenberg Symbols​
    Krahmer, F. & Pfander, G. E.​ (2014) 
    Constructive Approximation, 39(3) pp. 541​-572​.​ DOI: https://doi.org/10.1007/s00365-014-9228-4 
    ​Details  DOI  WoS 
  • 2014 | Journal Article
    ​ ​Die Beiträge von Carl-Friedrich Gauß zur Numerischen Mathematik​
    Schaback, R. ​ (2014) 
    Mitteilungen (Gauss-Gesellschaft e.V., Göttingen), 51 pp. 63​-86​.​
    ​Details 
  • 2014 | Journal Article
    ​ ​Restricted Normal Cones and Sparsity Optimization with Affine Constraints​
    Bauschke, H. H.; Luke, D. R. ; Phan, H. M. & Wang, X.​ (2014) 
    Foundations of Computational Mathematics, 14(1) pp. 63​-83​.​ DOI: https://doi.org/10.1007/s10208-013-9161-0 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​A discrete parametrized surface theory in R^3​
    Hoffmann, T.; Sageman-Furnas, A. O.   & Wardetzky, M. ​ (2014) 
    International Mathematics Research Notices,.​ DOI: https://doi.org/10.1093/imrn/rnw015 
    ​Details  DOI  arXiv 
  • 2014 | Journal Article
    ​ ​A collocation method for a hypersingular boundary integral equation via trigonometric differentiation Rainer Kress​
    Kress, R. ​ (2014) 
    Journal of Integral Equations and Applications, 26(2) pp. 197​-213​.​ DOI: https://doi.org/10.1216/JIE-2014-26-2-197 
    ​Details  DOI  WoS 
  • 2014 | Book Chapter
    ​ ​Adaptive Approximation Algorithms for Sparse Data Representation​
    Guillemard, M.; Heinen, D. ; Iske, A.; Krause-Solberg, S.& Plonka-Hoch, G. ​ (2014)
    In: Extraction of Quantifiable Information from Complex Systems pp. 281​-302. ​Cham: ​Springer. DOI: https://doi.org/10.1007/978-3-319-08159-5_14 
    ​Details  DOI 
  • 2014 | Journal Article | Research Paper
    ​ ​Quantitative Characterizations of Regularity Properties of Collections of Sets​
    Kruger, A. Y. & Thao, N. H. ​ (2014) 
    Journal of Optimization Theory and Applications, 164(1) pp. 41​-67​.​ DOI: https://doi.org/10.1007/s10957-014-0556-0 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​The meshless Kernel-based method of lines for parabolic equations​
    Hong, Y.-C.; Schaback, R.   & Zhong, M.​ (2014) 
    Computers & Mathematics with Applications, 68(12) pp. 2057​-2067​.​ DOI: https://doi.org/10.1016/j.camwa.2014.09.015 
    ​Details  DOI  WoS 
  • 2014 | Journal Article
    ​ ​Validation of Interface Capturing and Tracking techniques with different surface tension treatments against a Taylor bubble benchmark problem​
    Marschall, H.; Boden, S.; Lehrenfeld, C. ; Falconi D., C. J.; Hampel, U.; Reusken, A. & Wörner, M. et al.​ (2014) 
    Computers & Fluids, 102 pp. 336​-352​.​ DOI: https://doi.org/10.1016/j.compfluid.2014.06.030 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Exploring the Geometry of the Space of Shells​
    Heeren, B.; Rumpf, M.; Schröder, P.; Wardetzky, M.   & Wirth, B.​ (2014) 
    Computer Graphics Forum, 33(5) pp. 247​-256​.​ DOI: https://doi.org/10.1111/cgf.12450 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​The Nitsche XFEM-DG space-time method and its implementation in three space dimensions​
    Lehrenfeld, C. ​ (2014) 
    SIAM Journal on Scientific Computing, 37(1) pp. A245​-A270​.​ DOI: https://doi.org/10.1137/130943534 
    ​Details  DOI  arXiv 
  • 2014 | Journal Article
    ​ ​Approximation of the Classes H p Ω of Periodic Functions of Many Variables in the Space L p​
    Derev’yanko, N. V. ​ (2014) 
    Ukrainian Mathematical Journal, 66(5) pp. 707​-718​.​ DOI: https://doi.org/10.1007/s11253-014-0966-z 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​A conformal mapping method in inverse obstacle scattering​
    Haddar, H. & Kress, R. ​ (2014) 
    Complex Variables and Elliptic Equations, 59(6) pp. 863​-882​.​ DOI: https://doi.org/10.1080/17476933.2013.791687 
    ​Details  DOI  WoS 
  • 2014 | Journal Article
    ​ ​Sigma-Delta quantization of sub-Gaussian frame expansions and its application to compressed sensing​
    Krahmer, F.; Saab, R. & Yilmaz, O.​ (2014) 
    Information and Inference, 3(1) pp. 40​-58​.​ DOI: https://doi.org/10.1093/imaiai/iat007 
    ​Details  DOI 
  • 2014 | Journal Article | 
    ​ ​Generalization of the noise model for time-distance helioseismology​
    Fournier, D. ; Gizon, L. ; Hohage, T.   & Birch, A. C. ​ (2014) 
    Astronomy & Astrophysics, 567 art. 137​.​ DOI: https://doi.org/10.1051/0004-6361/201423580 
    ​Details  DOI 
  • 2014 | Journal Article | 
    ​ ​Asymptotic laws for change point estimation in inverse regression​
    Frick, S.; Hohage, T.   & Munk, A. ​ (2014) 
    Statistica Sinica, 24(2) pp. 555​-575​.​ DOI: https://doi.org/10.5705/ss.2012.007 
    ​Details  DOI  WoS 
  • 2014 | Journal Article
    ​ ​Stable and Robust Sampling Strategies for Compressive Imaging​
    Krahmer, F. & Ward, R.​ (2014) 
    IEEE Transactions on Image Processing, 23(2) pp. 612​-622​.​ DOI: https://doi.org/10.1109/TIP.2013.2288004 
    ​Details  DOI  PMID  PMC  WoS 
  • 2013 | Thesis | Master Thesis
    ​ ​Methoden zur Bildrekonstruktion aus unvollständigen Mengen von Waveletkoeffizienten​
    Pototskaia, V.​ (2013)
    Georg-August-Universität Göttingen. 
    ​Details 
  • 2013 | Thesis | Master Thesis
    ​ ​Multilevel Gauß-Newton Methoden zur Phasenrekonstruktion​
    Beinert, R.​ (2013)
    Georg-August-Universität Göttingen. 
    ​Details 
  • 2013 | Blog Post
    ​ ​Helmut Werner. A vita for the website "History of Approximation Theory"​
    Schaback, R. ​ (2013)
    In: History of Approximation Theory​
    ​Details 
  • 2013 | Blog Post
    ​ ​Publications of Helmut Werner: ​A commented list, for the website "History of Approximation Theory"​
    Schaback, R. ​ (2013)
    In: History of Approximation Theory​
    ​Details 
  • 2013 | Journal Article
    ​ ​A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators​
    Peter, T. & Plonka-Hoch, G. ​ (2013) 
    Inverse Problems, 29(2) art. 025001​.​ DOI: https://doi.org/10.1088/0266-5611/29/2/025001 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Restricted Normal Cones and the Method of Alternating Projections: Applications​
    Bauschke, H. H.; Luke, R. ; Phan, H. M. & Wang, X.​ (2013) 
    Set-Valued and Variational Analysis, 21(3) pp. 475​-501​.​ DOI: https://doi.org/10.1007/s11228-013-0238-3 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Optimal representation of piecewise Hölder smooth bivariate functions by the Easy Path Wavelet Transform​
    Plonka-Hoch, G. ; Iske, A. & Tenorth, S.​ (2013) 
    Journal of Approximation Theory, 176 pp. 42​-67​.​ DOI: https://doi.org/10.1016/j.jat.2013.08.002 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Riesz bases and Jordan form of the translation operator in semi-infinite periodic waveguides​
    Hohage, T.   & Soussi, S.​ (2013) 
    J. Math. Pures Appl. (9), 100(1) pp. 113​-135​.​ DOI: https://doi.org/10.1016/j.matpur.2012.10.013 
    ​Details  DOI 
  • 2013 | Monograph
    ​ ​Integral equation methods in scattering theory​ ​(Reprint. ed.) 
    Colton, D.& Kress, R. ​ (2013)
    Philadelphia​: SIAM.
    ​Details 
  • 2013 | Journal Article
    ​ ​Conformal Maps and p-Dirichlet Energies​
    Schumacher, H.​ (2013) 
    Tech Report, 4.​
    ​Details 
  • 2013 | Journal Article
    ​ ​The meshless kernel-based method of lines for solving the equal width equation​
    Dereli, Y. & Schaback, R. ​ (2013) 
    Applied Mathematics and Computation, 219(10) pp. 5224​-5232​.​ DOI: https://doi.org/10.1016/j.amc.2012.10.086 
    ​Details  DOI  WoS 
  • 2013 | Journal Article
    ​ ​Solving the 3D Laplace equation by meshless collocation via harmonic kernels​
    Hong, Y.-C. & Schaback, R. ​ (2013) 
    Advances in Computational Mathematics, 38(1) pp. 1​-19​.​ DOI: https://doi.org/10.1007/s10444-011-9224-1 
    ​Details  DOI  WoS 
  • 2013 | Journal Article
    ​ ​Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition​
    Cakoni, F. & Kress, R. ​ (2013) 
    Inverse Problems, 29(1) art. 015005​.​ DOI: https://doi.org/10.1088/0266-5611/29/1/015005 
    ​Details  DOI  WoS 
  • 2013 | Journal Article
    ​ ​Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems​
    Hesse, R. & Luke, R. ​ (2013) 
    SIAM Journal on Optimization, 23(4) pp. 2397​-2419​.​ DOI: https://doi.org/10.1137/120902653 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Restricted Normal Cones and the Method of Alternating Projections: Theory​
    Bauschke, H. H.; Luke, R. ; Phan, H. M. & Wang, X.​ (2013) 
    Set-Valued and Variational Analysis, 21(3) pp. 431​-473​.​ DOI: https://doi.org/10.1007/s11228-013-0239-2 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Estimates of the Ortho-projective Widths of Classes B^Ω_{p,θ} of Periodic Functions of Many Variables in the Space L_q​
    Derevianko, N. ​ (2013) 
    Transactions of Institute of Mathematics of NAS of Ukraine, 10(1) pp. 95​-109​.​
    ​Details 
  • 2013 | Journal Article
    ​ ​Trigonometric Widths of Classes of Periodic Functions of Many Variables​
    Derevianko, N. ​ (2013) 
    Ukrainian Mathematical Journal, 64(8) pp. 1185​-1198​.​
    ​Details 
  • 2013 | Journal Article
    ​ ​Real function reconstruction from sparse Fourier samples​
    Wischerhoff, M.​ (2013) 
    Proceedings in Applied Mathematics and Mechanics, 13(1) pp. 491​-492​.​ DOI: https://doi.org/10.1002/pamm.201310238 
    ​Details  DOI 
  • 2013 | Monograph
    ​ ​Inverse Acoustic and Electromagnetic Scattering Theory​ ​(3. ed.) 
    Colton, D.& Kress, R. ​ (2013)
    New York, NY​: Springer. DOI: https://doi.org/10.1007/978-1-4614-4942-3 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Exact sequences of high order Hardy space inifinite elements for exterior Maxwell problems​
    Nannen, L.; Hohage, T. ; Schädle, A. & Schöberl, J.​ (2013) 
    SIAM Journal on Scientific Computing, 35(2) pp. A1024​-A1048​.​ DOI: https://doi.org/10.1137/110860148 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Spectral Properties of Two-slanted Matrices​
    Berg, L. & Plonka-Hoch, G. ​ (2013) 
    Results in Mathematics, 35(3-4) pp. 201​-215​.​ DOI: https://doi.org/10.1007/bf03322813 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Direct Meshless Local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation​
    Mirzaei, D. & Schaback, R. ​ (2013) 
    Applied Numerical Mathematics, 68 pp. 73​-82​.​ DOI: https://doi.org/10.1016/j.apnum.2013.01.002 
    ​Details  DOI  WoS 
  • 2013 | Journal Article
    ​ ​Geodesics in heat​
    Crane, K.; Weischedel, C.   & Wardetzky, M. ​ (2013) 
    ACM Transactions on Graphics, 32(5) art. 152​.​ DOI: https://doi.org/10.1145/2516971.2516977 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Interpolation and approximation in Taylor spaces​
    Zwicknagl, B. & Schaback, R. ​ (2013) 
    Journal of Approximation Theory, 171 pp. 65​-83​.​ DOI: https://doi.org/10.1016/j.jat.2013.03.006 
    ​Details  DOI  WoS 
  • 2013 | Journal Article
    ​ ​A discrete geometric approach for simulating the dynamics of thin viscous threads​
    Audoly, B.; Clauvelin, N.; Brun, P.-T.; Bergou, M.; Grinspun, E. & Wardetzky, M. ​ (2013) 
    Journal of Computational Physics, 253 pp. 18​-49​.​ DOI: https://doi.org/10.1016/j.jcp.2013.06.034 
    ​Details  DOI  WoS  arXiv 
  • 2013 | Journal Article
    ​ ​A nonlinear discretization theory​
    Boehmer, K. & Schaback, R. ​ (2013) 
    Journal of Computational and Applied Mathematics, 254 pp. 204​-219​.​ DOI: https://doi.org/10.1016/j.cam.2013.03.029 
    ​Details  DOI  WoS 
  • 2013 | Book Chapter
    ​ ​Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes​
    Schöberl, J.& Lehrenfeld, C. ​ (2013)
    In:​Apel, T.; Steinbach, O.​ (Eds.), Advanced Finite Element Methods and Applications pp. 27​-56. (Vol. 66).  DOI: https://doi.org/10.1007/978-3-642-30316-6_2 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Direct Discretizations with Applications to Meshless Methods for PDEs​
    Schaback, R. ​ (2013) 
    Dolomites Research Notes on Approximation, 6 pp. 37​-51​.​
    ​Details 
  • 2013 | Journal Article
    ​ ​Reconstruction of extended sources for the Helmholtz equation​
    Kreß, R.   & Rundell, W.​ (2013) 
    Inverse Problems, 29(3) art. 035005​.​ DOI: https://doi.org/10.1088/0266-5611/29/3/035005 
    ​Details  DOI  WoS 
  • 2013 | Journal Article
    ​ ​Bases for conditionally positive definite kernels​
    Pazouki, M. & Schaback, R. ​ (2013) 
    Journal of Computational and Applied Mathematics, 243 pp. 152​-163​.​ DOI: https://doi.org/10.1016/j.cam.2012.10.023 
    ​Details  DOI  WoS 
  • 2013 | Journal Article
    ​ ​Analysis of a Nitsche XFEM-DG Discretization for a Class of Two-Phase Mass Transport Problems​
    Lehrenfeld, C.   & Reusken, A.​ (2013) 
    SIAM Journal on Numerical Analysis, 51(2) pp. 958​-983​.​ DOI: https://doi.org/10.1137/120875260 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Error estimates and condition numbers for radial basis function interpolation​
    Schaback, R. ​ (2013) 
    Advances in Computational Mathematics, 3(3) pp. 251​-264​.​ DOI: https://doi.org/10.1007/BF02432002 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Accuracy of two-phase flow simulations: The Taylor Flow benchmark​
    Aland, S.; Lehrenfeld, C. ; Marschall, H.; Meyer, C.   & Weller, S.​ (2013) 
    Proceedings in Applied Mathematics and Mechanics, 13(1) pp. 595​-598​.​ DOI: https://doi.org/10.1002/pamm.201310278 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Sparsity and spectral properties of dual frames​
    Krahmer, F. ; Kutyniok, G. & Lemvig, J.​ (2013) 
    Linear Algebra and its Applications, 439(4) pp. 982​-998​.​ DOI: https://doi.org/10.1016/j.laa.2012.10.016 
    ​Details  DOI  WoS 
  • 2013 | Journal Article | 
    ​ ​How many Fourier samples are needed for real function reconstruction?​
    Plonka-Hoch, G.   & Wischerhoff, M.​ (2013) 
    Journal of Applied Mathematics and Computing, 42(1-2) pp. 117​-137​.​ DOI: https://doi.org/10.1007/s12190-012-0624-2 
    ​Details  DOI 
  • 2013 | Journal Article | 
    ​ ​Iteratively regularized Newton-type methods for general data misfit functionals and applications to Poisson data​
    Hohage, T.   & Werner, F. ​ (2013) 
    Numerische Mathematik, 123(4) pp. 745​-779​.​ DOI: https://doi.org/10.1007/s00211-012-0499-z 
    ​Details  DOI 
  • 2013 | Journal Article | 
    ​ ​Interpolation of spatial data - A stochastic or a deterministic problem?​
    Scheuerer, M.; Schaback, R.   & Schlather, M.​ (2013) 
    European Journal of Applied Mathematics, 24 pp. 601​-629​.​ DOI: https://doi.org/10.1017/S0956792513000016 
    ​Details  DOI  WoS 
  • 2013 | Journal Article
    ​ ​Elastic response of filamentous networks with compliant crosslinks​
    Sharma, A.; Sheinman, M.; Heidemann, K. M. & MacKintosh, F. C.​ (2013) 
    Physical Review. E, 88(5) art. 052705​.​ DOI: https://doi.org/10.1103/PhysRevE.88.052705 
    ​Details  DOI  PMID  PMC  WoS 
  • 2012 | Journal Article
    ​ ​Flexible Developable Surfaces​
    Solomon, J.; Vouga, E.; Wardetzky, M.   & Grinspun, E.​ (2012) 
    Computer Graphics Forum, 31(5) pp. 1567​-1576​.​ DOI: https://doi.org/10.1111/j.1467-8659.2012.03162.x 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​Representation of sparse Legendre expansions​
    Peter, T.; Plonka-Hoch, G.   & Roşca, D.​ (2012) 
    Journal of Symbolic Computation, 50 pp. 159​-169​.​ DOI: https://doi.org/10.1016/j.jsc.2012.06.002 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​Compressive Video Sampling With Approximate Message Passing Decoding​
    Ma, J.; Plonka-Hoch, G.   & Hussaini, M. Y.​ (2012) 
    IEEE Transactions on Circuits and Systems for Video Technology, 22(9) pp. 1354​-1364​.​ DOI: https://doi.org/10.1109/tcsvt.2012.2201673 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​Convergence rates in expectation for Tikhonov-type regularization of Inverse Problems with Poisson data​
    Werner, F. & Hohage, T. ​ (2012) 
    Inverse Problems, 28(10).​ DOI: https://doi.org/10.1088/0266-5611/28/10/104004 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​Ortho-projective Widths of Classes of Periodic Functions of Many Variables​
    Derevianko, N. ​ (2012) 
    Transactions of Institute of Mathematics of NAS of Ukraine, 9(2) pp. 146​-156​.​
    ​Details 
  • 2012 | Journal Article
    ​ ​Divergence Preserving Interpolation on Anisotropic Quadrilateral Meshes​
    Braack, M.; Lube, G.   & Röhe, L.​ (2012) 
    Computational Methods in Applied Mathematics, 12(2) pp. 123​-138​.​ DOI: https://doi.org/10.2478/cmam-2012-0016 
    ​Details  DOI 
  • 2012 | Preprint
    ​ ​Layer-adapted meshes vs. weak Dirichlet boundary conditions in low-turbulent flow simulations​
    Röhe, L.& Lube, G. ​ (2012)
    ​Details 
  • 2012 | Journal Article
    ​ ​SqFreeEVAL: An (almost) optimal real-root isolation algorithm​
    Burr, M. A. & Krahmer, F.​ (2012) 
    Journal of Symbolic Computation, 47(2) pp. 153​-166​.​ DOI: https://doi.org/10.1016/j.jsc.2011.08.022 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​Coherent femtosecond low-energy single-electron pulses for time-resolved diffraction and imaging: A numerical study​
    Paarmann, A.; Gulde, M.; Mueller, M. ; Schäfer, S. ; Schweda, S. ; Maiti, M.   & Xu, C. et al.​ (2012) 
    Journal of Applied Physics, 112(11).​ DOI: https://doi.org/10.1063/1.4768204 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​The iteratively regularized Gauss-Newton method with convex constraints and applications in 4Pi microscopy​
    Stück, R.; Burger, M. & Hohage, T. ​ (2012) 
    Inverse Problems, 28.​ DOI: https://doi.org/10.1088/0266-5611/28/1/015012 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​Lower bounds for the error decay incurred by coarse quantization schemes​
    Krahmer, F. & Ward, R.​ (2012) 
    Applied and Computational Harmonic Analysis, 32(1) pp. 131​-138​.​ DOI: https://doi.org/10.1016/j.acha.2011.06.003 
    ​Details  DOI 
  • 2012 | Software
    ​ ​ProxToolbox​
    Luke, David Russell  (2012)
    ​Details 
  • 2012 | Journal Article
    ​ ​Approximation by k-sparse sums of eigenfunctions of linear operators​
    Peter, T. & Plonka-Hoch, G. ​ (2012) 
    Oberwolfach Reports, 31 pp. 16​-18​.​
    ​Details 
  • 2012 | Thesis | Doctoral Thesis
    ​ ​A discrete geometric view on shear-deformable shell models​
    Weischedel, C.​ (2012)
    University of Göttingen.  DOI: https://doi.org/10.53846/goediss-2453 
    ​Details  DOI 
  • 2012 | Thesis | Doctoral Thesis
    ​ ​Membrane locking in discrete shell theories​
    Quaglino, A.​ (2012)
    University of Göttingen.  DOI: https://doi.org/10.53846/goediss-2533 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​Convergence of Discrete Elastica​
    Schumacher, H.; Scholtes, S. & Wardetzky, M. ​ (2012) 
    Oberwolfach Reports, 34.​
    ​Details 
  • 2012 | Journal Article
    ​ ​A projection-based variational multiscale method for large-eddy simulation with application to non-isothermal free-convection problems​
    Loewe, J. & Lube, G. ​ (2012) 
    Mathematical Models and Methods in Applied Sciences, 22(2) art. 1150011​.​ DOI: https://doi.org/10.1142/S0218202511500114 
    ​Details  DOI  WoS 
  • 2012 | Conference Paper
    ​ ​Direct Error Bounds for Symmetric RBF Collocation​
    Schaback, R. ​ (2012)
    ​Proceedings. ​Meshless Methods in Science and Engineering​, Porto.
    ​Details 
  • 2012 | Journal Article
    ​ ​Generalized Whittle–Matérn and polyharmonic kernels​
    Bozzini, M.; Rossini, M. & Schaback, R. ​ (2012) 
    Advances in Computational Mathematics, 39(1) pp. 129​-141​.​ DOI: https://doi.org/10.1007/s10444-012-9277-9 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​Optimally Sparse Image Representation by the Easy Path Wavelet Transform​
    Plonka, G. ; Tenorth, S. & Iske, A.​ (2012) 
    International Journal of Wavelets, Multiresolution and Information Processing, 10(1) art. 1250007​.​ DOI: https://doi.org/10.1142/S0219691311004493 
    ​Details  DOI  WoS 
  • 2012 | Journal Article
    ​ ​On generalized moving least squares and diffuse derivatives​
    Mirzaei, D.; Schaback, R.   & Dehghan, M.​ (2012) 
    IMA Journal of Numerical Analysis, 32(3) pp. 983​-1000​.​ DOI: https://doi.org/10.1093/imanum/drr030 
    ​Details  DOI  WoS 
  • 2012 | Journal Article
    ​ ​Inverse problems and conformal mapping​
    Kress, R. ​ (2012) 
    Complex Variables and Elliptic Equations, 57(2-4) pp. 301​-316​.​ DOI: https://doi.org/10.1080/17476933.2011.605446 
    ​Details  DOI  WoS 
  • 2012 | Journal Article
    ​ ​Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem​
    Lehrenfeld, C.   & Reusken, A.​ (2012) 
    SIAM Journal on Scientific Computing, 34(5) pp. A2740​-A2759​.​ DOI: https://doi.org/10.1137/110855235 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​Root-Exponential Accuracy for Coarse Quantization of Finite Frame Expansions​
    Krahmer, F.; Saab, R. & Ward, R.​ (2012) 
    IEEE Transactions on Information Theory, 58(2) pp. 1069​-1079​.​ DOI: https://doi.org/10.1109/TIT.2011.2168942 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​An iterative method for a two-dimensional inverse scattering problem for a dielectric​
    Altundag, A. & Kress, R. ​ (2012) 
    Journal of Inverse and Ill-Posed Problems, 20(4) pp. 575​-590​.​ DOI: https://doi.org/10.1515/jip-2012-0031 
    ​Details  DOI  WoS 
  • 2012 | Journal Article
    ​ ​Time-Discrete Geodesics in the Space of Shells​
    Heeren, B.; Rumpf, M.; Wardetzky, M.   & Wirth, B.​ (2012) 
    Computer Graphics Forum, 31(5) pp. 1755​-1764​.​ DOI: https://doi.org/10.1111/j.1467-8659.2012.03180.x 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​On a two-dimensional inverse scattering problem for a dielectric​
    Altundag, A. & Kress, R. ​ (2012) 
    Applicable Analysis, 91(4) pp. 757​-771​.​ DOI: https://doi.org/10.1080/00036811.2011.619981 
    ​Details  DOI  WoS 
  • 2012 | Journal Article | 
    ​ ​Sparse Deconvolution Methods for Ultrasonic NDT​
    Boßmann, F.; Plonka-Hoch, G. ; Peter, T.; Nemitz, O. & Schmitte, T.​ (2012) 
    Journal of Nondestructive Evaluation, 31(3) pp. 225​-244​.​ DOI: https://doi.org/10.1007/s10921-012-0138-8 
    ​Details  DOI 
  • 2012 | Journal Article | 
    ​ ​An Area Preserving Projection from the Regular Octahedron to the Sphere​
    Roşca, D. & Plonka-Hoch, G. ​ (2012) 
    Results in Mathematics, 62(3-4) pp. 429​-444​.​ DOI: https://doi.org/10.1007/s00025-012-0286-2 
    ​Details  DOI 
  • 2012 | Journal Article | 
    ​ ​Wavelet Shrinkage on Paths for Denoising of Scattered Data​
    Heinen, D.   & Plonka-Hoch, G. ​ (2012) 
    Results in Mathematics, 62(3-4) pp. 337​-354​.​ DOI: https://doi.org/10.1007/s00025-012-0285-3 
    ​Details  DOI 
  • 2012 | Journal Article | 
    ​ ​Optimal Topological Simplification of Discrete Functions on Surfaces​
    Bauer, U.; Lange, C. & Wardetzky, M. ​ (2012) 
    Discrete & Computational Geometry, 47(2) pp. 347​-377​.​ DOI: https://doi.org/10.1007/s00454-011-9350-z 
    ​Details  DOI 
  • 2012 | Journal Article | 
    ​ ​Multichannel Three-dimensional OLA Inversion for Local Helioseismology Solar Physics​
    Jackiewicz, J.; Birch, A. C. ; Gizon, L. ; Hanasoge, S.; Hohage, T. ; Ruffio, J. & Švanda, M.​ (2012) 
    Solar Phys, 276 pp. 19​-33​.​ DOI: https://doi.org/10.1007/s11207-011-9873-8 
    ​Details  DOI 
  • 2011 | Preprint
    ​ ​Parallel preconditioning for low-turbulent indoor airflow RANS simulations​
    Kramer, S. C.; Pfaffenbach, C.& Lube, G. ​ (2011)
    ​Details 
  • 2011 | Thesis | Doctoral Thesis
    ​ ​Adaptive Waveletmethoden zur Approximation von Bildern​
    Tenorth, S.​ (2011)
    Georg-August-Universität Göttingen. 
    ​Details 
  • 2011 | Thesis | Master Thesis
    ​ ​Modeling and Analysis of Calibrating Cone-Beam-CT​
    Kruschel, C.​ (2011)
    TU Braunschweig, Institut for Analysis and Algebra. 
    ​Details 
  • 2011 | Book Chapter
    ​ ​Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations​
    Koutschan, C.; Lehrenfeld, C.  & Schoeberl, J.​ (2011)
    In:​Langer, Ulrich​ (Ed.), Numerical and symbolic scientific computing: progress and prospects pp. 105​-121.  DOI: https://doi.org/10.1007/978-3-7091-0794-2_6 
    ​Details  DOI  arXiv 
  • 2011 | Journal Article
    ​ ​Inverse scattering for surface impedance from phase-less far field data​
    Ivanyshyn, O. & Kress, R. ​ (2011) 
    Journal of Computational Physics, 230(9) pp. 3443​-3452​.​ DOI: https://doi.org/10.1016/j.jcp.2011.01.038 
    ​Details  DOI  WoS 
  • 2011 | Journal Article
    ​ ​Discrete Laplacians on general polygonal meshes​
    Alexa, M. & Wardetzky, M. ​ (2011) 
    ACM Transactions on Graphics, 30(4) art. 102​.​ DOI: https://doi.org/10.1145/1964921.1964997 
    ​Details  DOI 
  • 2011 | Book Chapter
    ​ ​Inverse scattering​
    Kreß, R.  & Colton, D.​ (2011)
    In: Handbook of Mathematical Methods in Imaging pp. 551​-598. ​Berlin: ​Springer.
    ​Details 
  • 2011 | Journal Article
    ​ ​A second degree Newton method for an inverse obstacle scattering problem​
    Kress, R.   & Lee, K.-M.​ (2011) 
    Journal of Computational Physics, 230(20) pp. 7661​-7669​.​ DOI: https://doi.org/10.1016/j.jcp.2011.06.020 
    ​Details  DOI  WoS 
  • 2011 | Book Chapter
    ​ ​Large-eddy simulation of wall-bounded turbulent flows - Layer-adapted meshes vs. weak Dirichlet boundary conditions​
    Röhe, L.& Lube, G. ​ (2011)
    In:​Clavero, C.; Gracia, J. L.; Lisbona, F. J.​ (Eds.), BAIL 2010 - Boundary and Interior Layers pp. 197​-206. ​Springer.
    ​Details 
  • 2011 | Book Chapter
    ​ ​A projection-based variational multiscale method for the incompressible Navier-Stokes/Fourier model​
    Löwe, J.; Lube, G.  & Röhe, L.​ (2011)
    In:​Clavero, C.; Gracia, J. L.; Lisbona, F. J.​ (Eds.), BAIL 2010 - Boundary and Interior Layers pp. 167​-176. ​Springer.
    ​Details 
  • 2011 | Conference Paper
    ​ ​Bases for kernel-based spaces​
    Pazouki, M. & Schaback, R. ​ (2011)
    Journal of Computational and Applied Mathematics, 236(4) pp. 575​-588. ​International Workshop on Multivariate Approximation and Interpolation with Applications (MAIA)​, Int Ctr Math Sci (ICMS), Edinburgh, SCOTLAND.
    Amsterdam​: Elsevier Science. DOI: https://doi.org/10.1016/j.cam.2011.05.021 
    ​Details  DOI  WoS 
  • 2011 | Journal Article
    ​ ​Electrical impedance tomography using a point electrode inverse scheme for complete electrode data​
    Delbary, F. & Kress, R. ​ (2011) 
    Inverse Problems and Imaging, 5(2) pp. 355​-369​.​ DOI: https://doi.org/10.3934/ipi.2011.5.355 
    ​Details  DOI  WoS 
  • 2011 | Journal Article
    ​ ​Uniform spherical grids via equal area projection from the cube to the sphere​
    Roşca, D. & Plonka-Hoch, G. ​ (2011) 
    Journal of Computational and Applied Mathematics, 236(6) pp. 1033​-1041​.​ DOI: https://doi.org/10.1016/j.cam.2011.07.009 
    ​Details  DOI 
  • 2011 | Book Chapter
    ​ ​Entropic Regularization of the ℓ 0 Function​
    Borwein, J. M.& Luke, D. R. ​ (2011)
    In:​Bauschke, Heinz H.; Burachik, Regina S.; Combettes, Patrick L.; Elser, Veit; Luke, D. Russell; Wolkowicz, Henry​ (Eds.), Fixed-Point Algorithms for Inverse Problems in Science and Engineering pp. 65​-92. ​New York: ​Springer. DOI: https://doi.org/10.1007/978-1-4419-9569-8_5 
    ​Details  DOI 
  • 2011 | Journal Article
    ​ ​On the computation of Gramian matrices for refinable bases on the interval​
    Primbs, M.​ (2011) 
    International Journal of Wavelets, Multiresolution and Information Processing, 6(3) pp. 459​-479​.​ DOI: https://doi.org/10.1142/S0219691308002422 
    ​Details  DOI 
  • 2011 | Journal Article
    ​ ​An optimal family of exponentially accurate one-bit Sigma-Delta quantization schemes​
    Deift, P.; Krahmer, F. & Güntürk, C. S.​ (2011) 
    Communications on Pure and Applied Mathematics, 64(7) pp. 883​-919​.​ DOI: https://doi.org/10.1002/cpa.20367 
    ​Details  DOI 
  • 2011 | Journal Article
    ​ ​New and Improved Johnson–Lindenstrauss Embeddings via the Restricted Isometry Property​
    Krahmer, F. & Ward, R.​ (2011) 
    SIAM Journal on Mathematical Analysis, 43(3) pp. 1269​-1281​.​ DOI: https://doi.org/10.1137/100810447 
    ​Details  DOI 
  • 2011 | Journal Article
    ​ ​Optimally Sparse Frames​
    Casazza, P. G.; Heinecke, A.; Krahmer, F. & Kutyniok, G.​ (2011) 
    IEEE Transactions on Information Theory, 57(11) pp. 7279​-7287​.​ DOI: https://doi.org/10.1109/TIT.2011.2160521 
    ​Details  DOI 
  • 2011 | Thesis | Doctoral Thesis
    ​ ​Persistence in discrete Morse Theory​
    Bauer, U.​ (2011)
    University of Göttingen.  DOI: https://doi.org/10.53846/goediss-2536 
    ​Details  DOI 
  • 2011 | Journal Article
    ​ ​Curvelet-Wavelet Regularized Split Bregman Iteration for Compressed Sensing​
    Plonka, G.   & Ma, J.​ (2011) 
    International Journal of Wavelets, Multiresolution and Information Processing, 9(1) pp. 79​-110​.​ DOI: https://doi.org/10.1142/S0219691311003955 
    ​Details  DOI  WoS 
  • 2011 | Journal Article
    ​ ​Nonlinear approximation by sums of exponentials and translates​
    Peter, T.; Potts, D. & Tasche, M.​ (2011) 
    SIAM Journal on Scientific Computing, 33(4) pp. 1920​-1947​.​ DOI: https://doi.org/10.1137/100790094 
    ​Details  DOI  WoS 
  • 2011 | Journal Article
    ​ ​Nitsche-XFEM for a transport problem in two-phase incompressible flows​
    Lehrenfeld, C. ​ (2011) 
    Proceedings in Applied Mathematics and Mechanics, 11(1) pp. 613​-614​.​ DOI: https://doi.org/10.1002/pamm.201110296 
    ​Details  DOI 
  • 2011 | Thesis | Doctoral Thesis
    ​ ​Eine Finite-Elemente Methode für nicht-isotherme inkompressible Strömungsprobleme​
    Löwe, J.​ (2011)
    Georg-August-Universität Göttingen, Mathematische Fakultät. 
    ​Details 
  • 2011 | Thesis | Doctoral Thesis
    ​ ​Untersuchung eines kinematischen Dynamo-Problems mittels FEM-BEM Kopplung​
    Lemster, W.​ (2011)
    Georg-August-Universität Göttingen, Mathematische Fakultät. 
    ​Details 
  • 2011 | Preprint
    ​ ​MATLAB Programming for Kernel-Based Methods​
    Schaback, R. ​ (2011)
    ​Details 
  • 2011 | Thesis | Doctoral Thesis
    ​ ​Turbulence modeling by a projection-based variational multiscale method for incompressible flow problems​
    Röhe, L.​ (2011)
    Georg-August-Universität Göttingen, Mathematische Fakultät. 
    ​Details 
  • 2011 | Thesis | Doctoral Thesis
    ​ ​A massively parallel finite element framework with application to incompressible flows​
    Heister, T.​ (2011)
    Georg-August-Universität Göttingen, Mathematische Fakultät. 
    ​Details 
  • 2011 | Book Chapter
    ​ ​Some Notes on Two-Scale Difference Equations​
    Berg, L.& Plonka-Hoch, G. ​ (2011)
    In: Functional Equations and Inequalities pp. 7​-29. ​Dordrecht: ​Springer. DOI: https://doi.org/10.1007/978-94-011-4341-7_2 
    ​Details  DOI 
  • 2011 | Journal Article | Erratum
    ​ ​Corrigendum to “On the numerical solution of a hypersingular integral equation in scattering theory” [J. Comput. Appl. Math. 61 (1995) 345–360]​
    Kress, R. ​ (2011) 
    Journal of Computational and Applied Mathematics, 235(9).​ DOI: https://doi.org/10.1016/j.cam.2010.09.021 
    ​Details  DOI  WoS 
  • 2011 | Journal Article
    ​ ​A New Hybrid Method for Image Approximation Using the Easy Path Wavelet Transform​
    Plonka, G. ; Tenorth, S. & Rosca, D.​ (2011) 
    IEEE Transactions on Image Processing, 20(2) pp. 372​-381​.​ DOI: https://doi.org/10.1109/TIP.2010.2061861 
    ​Details  DOI 
  • 2011 | Journal Article | 
    ​ ​The missing Wendland functions​
    Schaback, R. ​ (2011) 
    Advances in Computational Mathematics, 34(1) pp. 67​-81​.​ DOI: https://doi.org/10.1007/s10444-009-9142-7 
    ​Details  DOI  WoS 
  • 2011 | Journal Article | Research Paper | 
    ​ ​Conformal mapping and impedance tomography​
    Kreß, R. ​ (2011) 
    Journal of Physics. Conference Series, 290(1) art. 012009​.​ DOI: https://doi.org/10.1088/1742-6596/290/1/012009 
    ​Details  DOI 
  • 2010 | Thesis | Diploma Thesis
    ​ ​Behandlung von Poisson- und Gamma-Störungen in digitalen Bildern mit Hilfe von Splitting-Methoden​
    Wischerhoff, M.​ (2010)
    Universität Duisburg-Essen, Fachbereich Mathematik. 
    ​Details 
  • 2010 | Thesis | Diploma Thesis
    ​ ​Hybrid Discontinuous Galerkin Methods for Incompressible Flow Problems​
    Lehrenfeld, C. ​ (2010)
    RWTH Aachen.  DOI: https://doi.org/10.25625/O4VBYH 
    ​Details  DOI 
  • 2010 | Thesis | Diploma Thesis
    ​ ​Bildapproximation mittels Wedgelets​
    Heinen, D.​ (2010)
    Universität Duisburg-Essen, Fachbereich Mathematik. 
    ​Details 
  • 2010 | Journal Article
    ​ ​The Curvelet Transform​
    Ma, J. & Plonka-Hoch, G. ​ (2010) 
    IEEE Signal Processing Magazine, 27(2) pp. 118​-133​.​ DOI: https://doi.org/10.1109/msp.2009.935453 
    ​Details  DOI 
  • 2010 | Book Chapter
    ​ ​A survey on L2-approximation orders from shift-invariant spaces​
    Jetter, K.& Plonka-Hoch, G. ​ (2010)
    In:​Dyn, N.; Leviatan, D.; Levin, D.; Pinkus, A.​ (Eds.), Multivariate Approximation and Applications pp. 73​-111. ​Cambridge University Press. DOI: https://doi.org/10.1017/cbo9780511569616.005 
    ​Details  DOI 
  • 2010 | Journal Article
    ​ ​Integral equations for shape and impedance reconstruction in corrosion detection​
    Cakoni, F.; Kress, R.   & Schuft, C.​ (2010) 
    Inverse Problems, 26(9) art. 095012​.​ DOI: https://doi.org/10.1088/0266-5611/26/9/095012 
    ​Details  DOI  WoS 
  • 2010 | Journal Article
    ​ ​Calibration of a finite volume discretization and of model parameters for incompressible large eddy-type simulations​
    Knopp, T.; Zhang, X. Q.; Kessler, R. & Lube, G. ​ (2010) 
    Computer Methods in Applied Mechanics and Engineering, 199 pp. 13​-16​.​
    ​Details 
  • 2010 | Book Chapter
    ​ ​On robust parallel preconditioning for incompressible flow problems​
    Heister, T.; Lube, G.  & Rapin, G.​ (2010)
    In:​Kreisss, G.​ (Ed.), Numerical Mathematics and Advanced Applications pp. 441​-448. ​Berlin: ​Springer.
    ​Details 
  • 2010 | Book Chapter
    ​ ​A MHD problem on unbounded domains: Coupling of FEM and BEM​
    Lemster, W.& Lube, G. ​ (2010)
    In:​Kreisss, G.​ (Ed.), Numerical Mathematics and Advanced Applications pp. 587​-594. ​Berlin: ​Springer.
    ​Details 
  • 2010 | Journal Article
    ​ ​Simultaneous Reconstruction of Shape and Impedance in Corrosion Detection​
    Cakoni, F.; Kress, R.   & Schuft, C.​ (2010) 
    Methods and Applications of Analysis, 17(4) pp. 357​-378​.​ DOI: https://doi.org/10.4310/MAA.2010.v17.n4.a3 
    ​Details  DOI 
  • 2010 | Journal Article
    ​ ​Electrical impedance tomography with point electrodes​
    Delbary, F. & Kress, R. ​ (2010) 
    Journal of Integral Equations and Applications, 22(2) pp. 193​-216​.​ DOI: https://doi.org/10.1216/JIE-2010-22-2-193 
    ​Details  DOI  WoS 
  • 2010 | Journal Article
    ​ ​Acceleration techniques for regularized Newton methods applied to electromagnetic inverse medium scattering problems​
    Hohage, T.   & Langer, S.​ (2010) 
    Inverse Problems, 26(7) pp. 1​-15​.​ DOI: https://doi.org/10.1088/0266-5611/26/7/074011 
    ​Details  DOI 
  • 2010 | Journal Article
    ​ ​A New Sparse Representation of Seismic Data Using Adaptive Easy-Path Wavelet Transform​
    Ma, J.; Plonka-Hoch, G.   & Chauris, H.​ (2010) 
    IEEE Geoscience and Remote Sensing Letters, 7(3) pp. 540​-544​.​ DOI: https://doi.org/10.1109/lgrs.2010.2041185 
    ​Details  DOI 
  • 2010 | Journal Article
    ​ ​Conformal mapping and impedance tomography​
    Haddar, H. & Kress, R. ​ (2010) 
    Inverse Problems, 26(7) art. 074002​.​ DOI: https://doi.org/10.1088/0266-5611/26/7/074002 
    ​Details  DOI  WoS 
  • 2010 | Journal Article
    ​ ​Easy Path Wavelet Transform on Triangulations of the Sphere​
    Plonka-Hoch, G.   & Roşca, D.​ (2010) 
    Mathematical Geosciences, 42(7) pp. 839​-855​.​ DOI: https://doi.org/10.1007/s11004-009-9263-z 
    ​Details  DOI 
  • 2010 | Conference Paper
    ​ ​Total Variation Meets Topological Persistence: A First Encounter​
    Bauer, U.; Schönlieb, C.-B. & Wardetzky, M. ​ (2010)
    In:Simos, Theodore E.​ (Ed.), ​Numerical analysis and applied mathematics AIP Conference Proceedings, (2) pp. 1022​-1026. (Vol. 1281). , Rhodes.
    Melville, NY​: American Institute of Physics. DOI: https://doi.org/10.1063/1.3497795 
    ​Details  DOI 
  • 2010 | Journal Article
    ​ ​Discrete viscous threads​
    Bergou, M.; Audoly, B.; Vouga, E.; Wardetzky, M.   & Grinspun, E.​ (2010) 
    ACM Transactions on Graphics, 29(4) art. 1​.​ DOI: https://doi.org/10.1145/1778765.1778853 
    ​Details  DOI 
  • 2010 | Journal Article
    ​ ​New Stable Biorthogonal Spline-Wavelets on the Interval​
    Primbs, M.​ (2010) 
    Results in Mathematics, 57(1-2) pp. 121​-162​.​ DOI: https://doi.org/10.1007/s00025-009-0008-6 
    ​Details  DOI 
  • 2010 | Journal Article
    ​ ​Analysis of a variational multiscale method for Large-Eddy simulation and its application to homogeneous isotropic turbulence​
    Roehe, L. & Lube, G. ​ (2010) 
    Computer Methods in Applied Mechanics and Engineering, 199(37-40) pp. 2331​-2342​.​ DOI: https://doi.org/10.1016/j.cma.2010.02.015 
    ​Details  DOI  WoS 
  • 2010 | Book Chapter
    ​ ​Sampling and Stability​
    Rieger, C.; Schaback, R.  & Zwicknagl, B.​ (2010)
    In:​Dæhlen, Morten; Floater, Michael; Lyche, Tom; Merrien, Jean-Louis; Mørken, Knut; Schumaker, Larry L.​ (Eds.), Mathematical Methods for Curves and Surfaces pp. 347​-369. ​Berlin: ​Springer. DOI: https://doi.org/10.1007/978-3-642-11620-9_23 
    ​Details  DOI 
  • 2010 | Conference Paper
    ​ ​Image approximation by a hybrid method based on the Easy Path Wavelet Transform​
    Plonka-Hoch, G. ; Tenorth, S. & Roşca, D.​ (2010)
    In:Matthews, Michael B.​ (Ed.), ​Conference record of the Forty-Third Asilomar Conference on Signals, Systems and Computers, 2009 pp. 442​-446. ​Asilomar Conference on Signals, Systems and Computers​, Pacific Grove, California.
    Piscataway, NJ​: Institute of Electrical and Electronics Engineers (IEEE). DOI: https://doi.org/10.1109/acssc.2009.5469855 
    ​Details  DOI 
  • 2010 | Thesis | Doctoral Thesis
    ​ ​A Chimera simulation method and detached eddy simulation for vortex-airfoil interactions​
    Wolf, C.​ (2010)
    Georg-August-Universität Göttingen, Mathematische Fakultät. 
    ​Details 
  • 2010 | Journal Article
    ​ ​Optimal control of singularly perturbed advection-diffusion-reaction problems​
    Lube, G.   & Tews, B.​ (2010) 
    Mathematical Models and Methods in Applied Sciences, 20(3) pp. 375​-395​.​ DOI: https://doi.org/10.1142/S0218202510004271 
    ​Details  DOI  WoS 
  • 2010 | Journal Article
    ​ ​Tetrolet transform: A new adaptive Haar wavelet algorithm for sparse image representation​
    Krommweh, J.​ (2010) 
    Journal of Visual Communication and Image Representation, 21(4) pp. 364​-374​.​ DOI: https://doi.org/10.1016/j.jvcir.2010.02.011 
    ​Details  DOI 
  • 2010 | Journal Article
    ​ ​Tetrolet shrinkage with anisotropic total variation minimization for image approximation​
    Krommweh, J. & Ma, J.​ (2010) 
    Signal Processing, 90(8) pp. 2529​-2539​.​ DOI: https://doi.org/10.1016/j.sigpro.2010.02.022 
    ​Details  DOI 
  • 2010 | Journal Article | 
    ​ ​Identification of sound-soft 3D obstacles from phaseless data​
    Ivanyshyn, O. & Kress, R. ​ (2010) 
    Inverse Problems and Imaging, 4(1) pp. 131​-149​.​ DOI: https://doi.org/10.3934/ipi.2010.4.131 
    ​Details  DOI  WoS 
  • 2010 | Journal Article | 
    ​ ​Unsymmetric meshless methods for operator equations​
    Schaback, R. ​ (2010) 
    Numerische Mathematik, 114(4) pp. 629​-651​.​ DOI: https://doi.org/10.1007/s00211-009-0265-z 
    ​Details  DOI  WoS 
  • 2010 | Journal Article | 
    ​ ​Huygens' principle and iterative methods in inverse obstacle scattering​
    Ivanyshyn, O.; Kress, R.   & Serranho, P.​ (2010) 
    Advances in Computational Mathematics, 33(4) pp. 413​-429​.​ DOI: https://doi.org/10.1007/s10444-009-9135-6 
    ​Details  DOI  WoS 
  • 2010 | Journal Article | 
    ​ ​Uniform Convergence of Discrete Curvatures from Nets of Curvature Lines​
    Bauer, U.; Polthier, K. & Wardetzky, M. ​ (2010) 
    Discrete & Computational Geometry, 43(4) pp. 798​-823​.​ DOI: https://doi.org/10.1007/s00454-009-9237-4 
    ​Details  DOI  arXiv 
  • 2010 | Journal Article | 
    ​ ​Stability of kernel-based interpolation​
    De Marchi, S. & Schaback, R. ​ (2010) 
    Advances in Computational Mathematics, 32(2) pp. 155​-161​.​ DOI: https://doi.org/10.1007/s10444-008-9093-4 
    ​Details  DOI  WoS 
  • 2009 | Thesis | Diploma Thesis
    ​ ​Entwicklung einer automatisierten Auswertung von bildgebenden Ultraschallverfahren​
    Boßmann, F.​ (2009)
    Universität Duisburg-Essen, Fachbereich Mathematik. 
    ​Details 
  • 2009 | Thesis | Diploma Thesis
    ​ ​Parameterbestimmung bei anharmonischen Fouriersummen mittels approximativer Prony-Methode​
    Peter, T.​ (2009)
    Universität Rostock, Institut für Mathematik. 
    ​Details 
  • 2009 | Journal Article
    ​ ​Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equations​
    Olshanskii, M.; Lube, G. ; Heister, T. & Loewe, J.​ (2009) 
    Computer Methods in Applied Mechanics and Engineering, 198(49-52) pp. 3975​-3988​.​ DOI: https://doi.org/10.1016/j.cma.2009.09.005 
    ​Details  DOI  WoS 
  • 2009 | Journal Article
    ​ ​A Newton method for reconstructing non star-shaped domains in electrical impedance tomography​
    Harbrecht, H. & Hohage, T. ​ (2009) 
    Inverse Probl. Imaging, 3(2) pp. 353​-371​.​ DOI: https://doi.org/10.3934/ipi.2009.3.353 
    ​Details  DOI 
  • 2009 | Journal Article
    ​ ​On convergent numerical algorithms for unsymmetric collocation​
    Lee, C.-F.; Ling, L. & Schaback, R. ​ (2009) 
    Advances in Computational Mathematics, 30(4) pp. 339​-354​.​ DOI: https://doi.org/10.1007/s10444-008-9071-x 
    ​Details  DOI  WoS 
  • 2009 | Journal Article
    ​ ​Directional Haar wavelet frames on triangles​
    Krommweh, J. & Plonka-Hoch, G. ​ (2009) 
    Applied and Computational Harmonic Analysis, 27(2) pp. 215​-234​.​ DOI: https://doi.org/10.1016/j.acha.2009.03.002 
    ​Details  DOI 
  • 2009 | Journal Article
    ​ ​A Digital Diffusion-Reaction Type Filter for Nonlinear Denoising​
    Plonka-Hoch, G. ​ (2009) 
    Results in Mathematics, 53(3-4) pp. 371​-381​.​ DOI: https://doi.org/10.1007/s00025-008-0348-7 
    ​Details  DOI 
  • 2009 | Conference Paper
    ​ ​Finite elements with local projection stabilization for incompressible flow problems​
    Braack, M. & Lube, G. ​ (2009)
    Journal of Computational Mathematics, 27(2-3) pp. 116​-147. ​2nd Sino-German Workshop on Computational and Applied Mathematics​, Hangzhou, PEOPLES R CHINA.
    Wanchai​: Global Science Press.
    ​Details  WoS 
  • 2009 | Journal Article
    ​ ​A second order Newton method for sound soft inverse obstacle scattering​
    Kress, R. ; Tezel, N. & Yaman, F.​ (2009) 
    Journal of Inverse and Ill-Posed Problems, 17(2) pp. 173​-185​.​ DOI: https://doi.org/10.1515/JIIP.2009.015 
    ​Details  DOI  WoS 
  • 2009 | Conference Paper
    ​ ​Sparse Data Representation on the Sphere using the Easy Path Wavelet Transform​
    Plonka-Hoch, G.   & Roşca, D.​ (2009)
    In:Fesquet, L.; Torresani, B.​ (Eds.), ​SAMPTA'09, International Conference on SAMPling Theory and Applications. 
    ​Details 
  • 2009 | Book Chapter
    ​ ​Image approximation by adaptive tetrolet transform​
    Krommweh, J.​ (2009)
    In:​Fesquet, L.; Torresani, B.​ (Eds.), Sampling Theory and Applications (SampTA'09) pp. 81​-84. 
    ​Details 
  • 2009 | Journal Article
    ​ ​Computing with Curvelets: From Image Processing to Turbulent Flows​
    Ma, J. & Plonka-Hoch, G. ​ (2009) 
    Computing in Science & Engineering, 11(2) pp. 72​-80​.​ DOI: https://doi.org/10.1109/mcse.2009.26 
    ​Details  DOI 
  • 2009 | Journal Article
    ​ ​The Easy Path Wavelet Transform: A New Adaptive Wavelet Transform for Sparse Representation of Two-Dimensional Data​
    Plonka-Hoch, G. ​ (2009) 
    Multiscale Modeling & Simulation, 7(3) pp. 1474​-1496​.​ DOI: https://doi.org/10.1137/080719248 
    ​Details  DOI 
  • 2009 | Book Chapter
    ​ ​Distributed and boundary control of singularly perturbed advection-diffusion-reaction problems​
    Lube, G.  & Tews, B.​ (2009)
    In: Proceedings of the International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, Limerick, July 2008 pp. 205​-215. ​Berlin: ​Springer.
    ​Details 
  • 2009 | Book Chapter
    ​ ​Investigation of resolution requirements for wall-modelled LES of attached and massively separated flows at high Reynolds numbers​
    Zhang, X. Q.; Knopp, T.; Valentino, M.; Kessler, R.& Lube, G. ​ (2009)
    In:​Dillmann, A.​ (Ed.), New Results in Numerical and Experimental Fluid Mechanics VII pp. 167​-174. ​Springer.
    ​Details 
  • 2009 | Journal Article
    ​ ​Geometric Aspects of Discrete Elastic Rods​
    Wardetzky, M. ; Bergou, M.; Robinson, S.; Audoly, B. & Grinspun, E.​ (2009) 
    Oberwolfach Reports, 6(1).​
    ​Details 
  • 2009 | Journal Article
    ​ ​Persistence Simplifiation of Discrete Morse Functions on Surfaces​
    Bauer, U.; Lange, C. & Wardetzky, M. ​ (2009) 
    Oberwolfach Reports, 6(1).​
    ​Details 
  • 2009 | Journal Article
    ​ ​Local projection stabilization for advection-diffusion-reaction problems: One-level vs. two-level approach​
    Knobloch, P. & Lube, G. ​ (2009) 
    Applied Numerical Mathematics, 59(12) pp. 2891​-2907​.​ DOI: https://doi.org/10.1016/j.apnum.2009.06.004 
    ​Details  DOI  WoS 
  • 2009 | Thesis | Doctoral Thesis
    ​ ​Novel Schemes for Sigma-Delta Modulation: Improved Exponential Accuracy to Low-Complexity Design​
    Krahmer, F.​ (2009)
    New York University. 
    ​Details 
  • 2009 | Journal Article
    ​ ​The Method of Stable Completion in the Classical Wavelet Context​
    Primbs, M.​ (2009) 
    Results in Mathematics, 53(3-4) pp. 391​-398​.​ DOI: https://doi.org/10.1007/s00025-008-0350-0 
    ​Details  DOI 
  • 2009 | Journal Article
    ​ ​Nonlinear and adaptive frame approximation schemes for elliptic PDEs: Theory and numerical experiments​
    Dahlke, S.; Fornasier, M.; Primbs, M.; Raasch, T. & Werner, M.​ (2009) 
    Numerical Methods for Partial Differential Equations, 25(6) pp. 1366​-1401​.​ DOI: https://doi.org/10.1002/num.20407 
    ​Details  DOI 
  • 2009 | Journal Article
    ​ ​Tight frame characterization of multiwavelet vector functions in terms of the polyphase matrix​
    Krommweh, J.​ (2009) 
    International Journal of Wavelets, Multiresolution and Information Processing, 7(1) pp. 9​-21​.​
    ​Details 
  • 2009 | Journal Article
    ​ ​An Orthonormal Basis of Directional Haar Wavelets on Triangles​
    Krommweh, J.​ (2009) 
    Results in Mathematics, 53(3-4) pp. 323​-331​.​ DOI: https://doi.org/10.1007/s00025-008-0343-z 
    ​Details  DOI 
  • 2009 | Journal Article
    ​ ​An improved subspace selection algorithm for meshless collocation methods​
    Ling, L. & Schaback, R. ​ (2009) 
    International Journal for Numerical Methods in Engineering, 80(13) pp. 1623​-1639​.​ DOI: https://doi.org/10.1002/nme.2674 
    ​Details  DOI  WoS 
  • 2009 | Conference Paper
    ​ ​Nonlinear locally adaptive wavelet filter banks​
    Plonka-Hoch, G.   & Tenorth, S.​ (2009)
    In:Fesquet, L.; Torresani, B.​ (Eds.), ​SAMPTA'09, International Conference on SAMPling Theory and Applications. 
    ​Details 
  • 2009 | Journal Article
    ​ ​Recursive Kernels​
    Mouattamid, M. & Schaback, R. ​ (2009) 
    Analysis in Theory and Applications, 25(4) pp. 301​-316​.​ DOI: https://doi.org/10.1007/s10496-009-0301-y 
    ​Details  DOI 
  • 2009 | Journal Article
    ​ ​Nonstandard Kernels and Their Applications​
    Schaback, R.   & De Marchi, S.​ (2009) 
    Dolomites Research Notes on Approximation, 2 pp. 16​-43​.​
    ​Details 
  • 2009 | Journal Article
    ​ ​A Newton basis for Kernel spaces​
    Mueller, S. & Schaback, R. ​ (2009) 
    Journal of Approximation Theory, 161(2) pp. 645​-655​.​ DOI: https://doi.org/10.1016/j.jat.2008.10.014 
    ​Details  DOI  WoS 
  • 2009 | Journal Article
    ​ ​Inverse scattering for an impedance cylinder buried in a dielectric cylinder​
    Kress, R. ; Yaman, F.; Yapar, A. & Akduman, I.​ (2009) 
    Inverse Problems in Science and Engineering, 17(4) art. PII 908586241​.​ DOI: https://doi.org/10.1080/17415970802131760 
    ​Details  DOI  WoS 
  • 2009 | Conference Paper
    ​ ​Generating parametric models of tubes from laser scans​
    Bauer, U. & Polthier, K.​ (2009)
    Computer-Aided Design, 41(10) pp. 719​-729. ​Workshop on New Advances in Shape Analysis and Geometric Modeling​, Leibniz Univ, Hannover, GERMANY.
    Oxford​: Elsevier Sci Ltd. DOI: https://doi.org/10.1016/j.cad.2009.01.002 
    ​Details  DOI  WoS 
  • 2009 | Journal Article
    ​ ​Hardy space infinite elements for scattering and resonance problems​
    Hohage, T.   & Nannen, L.​ (2009) 
    SIAM J. Numer. Anal., 47 pp. 972​-996​.​ DOI: https://doi.org/10.1137/070708044 
    ​Details  DOI 
  • 2009 | Journal Article | Research Paper
    ​ ​Complexity analysis of the iteratively regularized Gauss–Newton method with inner CG-iteration​
    Langer, S.​ (2009) 
    Journal of Inverse and Ill-posed Problems, 17(9).​ DOI: https://doi.org/10.1515/JIIP.2009.051 
    ​Details  DOI 
  • 2009 | Journal Article | 
    ​ ​Thirty years and still counting​
    Colton, D. & Kress, R. ​ (2009) 
    Inverse Problems and Imaging, 3(2) pp. 151​-153​.​ DOI: https://doi.org/10.3934/ipi.2009.3.151 
    ​Details  DOI  WoS 
  • 2009 | Journal Article | 
    ​ ​The Fréchet Derivative of an Analytic Function of a Bounded Operator with Some Applications​
    Gilliam, D. S.; Hohage, T. ; Ji, X. & Ruymgaart, F.​ (2009) 
    International Journal of Mathematics and Mathematical Sciences, 2009 art. 239025​.​ DOI: https://doi.org/10.1155/2009/239025 
    ​Details  DOI 
  • 2009 | Journal Article | 
    ​ ​Some remarks on residual-based stabilisation of inf-sup stable discretisations of the generalised oseen problem​
    Matthies, G.; Lube, G.   & Röhe, L.​ (2009) 
    Computational methods in applied mathematics, 9(4) pp. 368​-390​.​
    ​Details 
  • 2009 | Journal Article | 
    ​ ​Iterative and range test methods for an inverse source problem for acoustic waves​
    Alves, C.; Kress, R.   & Serranho, P.​ (2009) 
    Inverse Problems, 25(5) art. 055005​.​ DOI: https://doi.org/10.1088/0266-5611/25/5/055005 
    ​Details  DOI  WoS 
  • 2009 | Journal Article | 
    ​ ​Iteratively regularized Gauss-Newton method for nonlinear inverse problems with random noise​
    Bauer, F. ; Hohage, T.   & Munk, A. ​ (2009) 
    SIAM Journal on Numerical Analysis, 47(3) pp. 1827​-1846​.​ DOI: https://doi.org/10.1137/080721789 
    ​Details  DOI  WoS 
  • 2009 | Journal Article | 
    ​ ​Solving the Laplace equation by meshless collocation using harmonic kernels​
    Schaback, R. ​ (2009) 
    Advances in Computational Mathematics, 31(4) pp. 457​-470​.​ DOI: https://doi.org/10.1007/s10444-008-9078-3 
    ​Details  DOI  WoS 
  • 2008 | Thesis | Diploma Thesis
    ​ ​Verallgemeinerte Rudin-Osher-Fatemi-Regularisierung zur Signalentstörung​
    Tenorth, S.​ (2008)
    Universität Duisburg-Essen, Fachbereich Mathematik. 
    ​Details 
  • 2008 | Book Chapter
    ​ ​Convergence of the Cotangent Formula: ​An Overview​
    Wardetzky, M. ​ (2008)
    In:​Bobenko, Alexander I.; Sullivan, John M.; Schröder, Peter; Ziegler, Günter​ (Eds.), Discrete Differential Geometry Part IV pp. 275​-286. (Vol. 38). ​Birkhäuser Basel. DOI: https://doi.org/10.1007/978-3-7643-8621-4_15 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Image Reconstruction by Regularized Nonlinear Inversion - Joint Estimation of Coil Sensitivities and Image Content​
    Uecker, M. ; Hohage, T. ; Block, K. T. & Frahm, J. ​ (2008) 
    Magnetic Resonance in Medicine, 60(3) pp. 674​-682​.​ DOI: https://doi.org/10.1002/mrm.21691 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Nonlinear Tikhonov regularization in Hilbert scales for inverse boundary value problems with random noise​
    Hohage, T.   & Pricop, M. ​ (2008) 
    Inverse Problems and Imaging, 2(2) pp. 271​-290​.​ DOI: https://doi.org/10.3934/ipi.2008.2.271 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Nonlinear Regularized Reaction-Diffusion Filters for Denoising of Images With Textures​
    Plonka-Hoch, G. ​ (2008) 
    IEEE Transactions on Image Processing, 17(8) pp. 1283​-1294​.​ DOI: https://doi.org/10.1109/tip.2008.925305 
    ​Details  DOI 
  • 2008 | Conference Paper
    ​ ​Stabilized finite element methods to predict ventilation efficiency and thermal comfort in buildings​
    Lube, G. ; Knopp, T.; Rapin, G.; Gritzki, R. & Roesler, M.​ (2008)
    International Journal for Numerical Methods in Fluids, 57(9) pp. 1269​-1290. ​14th International Conference on Finite Elements in Flow Problems​, Santa Fe, NM.
    Chichester​: John Wiley & Sons. DOI: https://doi.org/10.1002/fld.1790 
    ​Details  DOI  WoS 
  • 2008 | Journal Article
    ​ ​Stable and convergent unsymmetric meshless collocation methods​
    Ling, L. & Schaback, R. ​ (2008) 
    SIAM Journal on Numerical Analysis, 46(3) pp. 1097​-1115​.​ DOI: https://doi.org/10.1137/06067300X 
    ​Details  DOI  WoS 
  • 2008 | Journal Article
    ​ ​Stabilized finite element methods with anisotropic mesh refinement for the Oseen problem​
    Apel, T.; Knopp, T. & Lube, G. ​ (2008) 
    Applied Numerical Mathematics, 58(12) pp. 1830​-1843​.​ DOI: https://doi.org/10.1016/j.apnum.2007.11.016 
    ​Details  DOI  WoS 
  • 2008 | Journal Article
    ​ ​Iterative methods for planar crack reconstruction in semi-infinite domains​
    Kress, R.   & Vintonyak, N.​ (2008) 
    Journal of Inverse and Ill-Posed Problems, 16(8) pp. 743​-761​.​ DOI: https://doi.org/10.1515/JIIP.2008.047 
    ​Details  DOI  WoS 
  • 2008 | Journal Article
    ​ ​Pole condition: A numerical method for Helmholtz-type scattering problems with inhomogeneous exterior domain​
    Schmidt, F.; Hohage, T. ; Klose, R.; Schädle, A. & Zschiedrich, L.​ (2008) 
    Journal of Computational and Applied Mathematics, 218(1) pp. 61​-69​.​ DOI: https://doi.org/10.1016/j.cam.2007.04.046 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Inverse electromagnetic scattering in a two-layered medium with an application to mine detection​
    Delbary, F.; Erhard, K.; Kress, R. ; Potthast, R. & Schulz, J.​ (2008) 
    Inverse Problems, 24(1) art. 015002​.​ DOI: https://doi.org/10.1088/0266-5611/24/1/015002 
    ​Details  DOI  WoS 
  • 2008 | Book Chapter
    ​ ​Local projection stabilization of finite elements for incompressible flows​
    Lube, G. ; Rapin, G.& Löwe, J.​ (2008)
    In:​Kunisch, K.​ (Ed.), Numer. Math. Adv. Applic., Proceed. ENUMATH 2007 pp. 481​-488. ​Springer.
    ​Details 
  • 2008 | Book Chapter
    ​ ​Applying local projection stabilization to inf-sup stable elements​
    Rapin, G.; Lube, G.  & Löwe, J.​ (2008)
    In:​Kunisch, K.​ (Ed.), Numer. Math. Adv. Applic., Proceed. ENUMATH 2007 pp. 521​-528. ​Springer.
    ​Details 
  • 2008 | Book Chapter
    ​ ​Calibration of model and discretization parameters for turbulent channel flow​
    Zhang, X. Q.; Knopp, T.& Lube, G. ​ (2008)
    In:​Kunisch, K.​ (Ed.), Numer. Math. Adv. Applic., Proceed. ENUMATH 2007 pp. 529​-537. ​Springer.
    ​Details 
  • 2008 | Journal Article
    ​ ​Mathematische Methoden in Medizin und Technik: Inverse Probleme und Tomographie.​
    Kreß, R. ​ (2008) 
    Georgia Augusta, 6 pp. 88​-95​.​
    ​Details 
  • 2008 | Journal Article
    ​ ​Uncertainty in time–frequency representations on finite Abelian groups and applications​
    Krahmer, F.; Pfander, G. E. & Rashkov, P.​ (2008) 
    Applied and Computational Harmonic Analysis, 25(2) pp. 209​-225​.​ DOI: https://doi.org/10.1016/j.acha.2007.09.008 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Limit problems for interpolation by analytic radial basis functions​
    Schaback, R. ​ (2008) 
    Journal of Computational and Applied Mathematics, 212(2) pp. 127​-149​.​ DOI: https://doi.org/10.1016/j.cam.2006.11.023 
    ​Details  DOI 
  • 2008 | Book Chapter
    ​ ​Detection of Planar Regions in Volume Data for Topology Optimization​
    Bauer, U.& Polthier, K.​ (2008)
    In:​Chen, Falai; Jüttler, Bert​ (Eds.), Advances in Geometric Modeling and Processing pp. 119​-126. ​Berlin: ​Springer. DOI: https://doi.org/10.1007/978-3-540-79246-8_9 
    ​Details  DOI 
  • 2008 | Book Chapter
    ​ ​An adaptive numerical solution of MFS systems​
    Schaback, R. ​ (2008)
    In:​Chen, C. S.; Karageorghis, A.; Smyrlis, Y. S.​ (Eds.), The Method of Fundamental Solutions - A Meshless Method pp. 1​-27. ​Dynamic Publishers.
    ​Details 
  • 2008 | Conference Paper
    ​ ​Application of domain decomposition methods to indoor air flow simulation​
    Lube, G. ; Knopp, T.; Gritzki, R.; Roesler, M. & Seifert, J.​ (2008)
    International Journal of Computer Mathematics, 85(10) pp. 1551​-1562. ​Japan-France Conference on Analytical and Numerical Methods for Scientific Computing in Science and Engineering​, Univ Henri Poincare, Nancy, FRANCE.
    Abingdon​: Taylor & Francis. DOI: https://doi.org/10.1080/00207160802033541 
    ​Details  DOI  WoS 
  • 2008 | Journal Article
    ​ ​Blind Dates für die Wissenschaft​
    Lutz-Westphal, B. & Wardetzky, M. ​ (2008) 
    Mitteilungen der Deutschen Mathematiker-Vereinigung,.​
    ​Details 
  • 2008 | Thesis | Doctoral Thesis
    ​ ​Parallele dynamische Adaption hybrider Netze für effizientes verteiltes Rechnen​
    Alrutz, T.​ (2008)
    Georg-August-Universität Göttingen, Mathematische Fakultät. 
    ​Details 
  • 2008 | Report
    ​ ​SIGGRAPH ASIA 2008 COURSE NOTES on Discrete Differential Geometry​
    Grinspun, E.& Wardetzky, M. ​ (2008)
    ​Details 
  • 2008 | Journal Article
    ​ ​Non-linear integral equations for the complete electrode model in inverse impedance tomography​
    Eckel, H. & Kress, R. ​ (2008) 
    Applicable Analysis, 87(10-11) art. PII 902088959​.​ DOI: https://doi.org/10.1080/00036810802032151 
    ​Details  DOI  WoS 
  • 2008 | Journal Article
    ​ ​Local projection stabilization for incompressible flows: Equal-order vs. inf-sup stable interpolation​
    Lube, G. ; Rapin, G. & Loewe, J.​ (2008) 
    Electronic Transactions on Numerical Analysis, 32 pp. 106​-122​.​
    ​Details  WoS 
  • 2008 | Journal Article
    ​ ​Recovery of functions from weak data using unsymmetric meshless kernel-based methods​
    Schaback, R. ​ (2008) 
    Applied Numerical Mathematics, 58(5) pp. 726​-741​.​ DOI: https://doi.org/10.1016/j.apnum.2007.02.009 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Discrete elastic rods​
    Bergou, M.; Wardetzky, M. ; Robinson, S.; Audoly, B. & Grinspun, E.​ (2008) 
    ACM Transactions on Graphics, 27(3) art. 1​.​ DOI: https://doi.org/10.1145/1360612.1360662 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Inverse scattering for planar cracks via nonlinear integral equations​
    Ivanyshyn, O. & Kress, R. ​ (2008) 
    Mathematical Methods in the Applied Sciences, 31(10) pp. 1221​-1232​.​ DOI: https://doi.org/10.1002/mma.970 
    ​Details  DOI  WoS 
  • 2007 | Journal Article
    ​ ​Combined Curvelet Shrinkage and Nonlinear Anisotropic Diffusion​
    Ma, J. & Plonka-Hoch, G. ​ (2007) 
    IEEE Transactions on Image Processing, 16(9) pp. 2198​-2206​.​ DOI: https://doi.org/10.1109/tip.2007.902333 
    ​Details  DOI 
  • 2007 | Journal Article
    ​ ​Convergence of an Iterative Nonlinear Scheme for Denoising of Piecewise Constant Images​
    Plonka-Hoch, G.   & Ma, J.​ (2007) 
    International Journal of Wavelets, Multiresolution and Information Processing, 05(06) pp. 975​-995​.​ DOI: https://doi.org/10.1142/s0219691307002142 
    ​Details  DOI 
  • 2007 | Conference Paper
    ​ ​A hybrid method for sound-hard obstacle reconstruction​
    Kress, R.   & Serranho, P.​ (2007)
    Journal of Computational and Applied Mathematics, 204(2) pp. 418​-427. ​7th International Conference on Mathematical and Numerical Aspects of Waves​, Brown Univ, Providence, RI.
    Amsterdam​: Elsevier Science. DOI: https://doi.org/10.1016/j.cam.2006.02.047 
    ​Details  DOI  WoS 
  • 2007 | Journal Article
    ​ ​Stabilized finite element methods for the generalized Oseen problem​
    Braack, M.; Burman, E.; John, V. & Lube, G. ​ (2007) 
    Computer Methods in Applied Mechanics and Engineering, 196(4-6) pp. 853​-866​.​ DOI: https://doi.org/10.1016/j.cma.2006.07.011 
    ​Details  DOI  WoS 
  • 2007 | Conference Paper
    ​ ​Discrete Laplace operators: No free lunch​
    Wardetzky, M. ; Mathur, S.; Kaelberer, F. & Grinspun, E.​ (2007)
    In:Belyaev, Alexander; Garland, Michael​ (Eds.), ​Geometry Processing. 
    The Eurographics Association. DOI: https://doi.org/10.2312/SGP/SGP07/033-037 
    ​Details  DOI 
  • 2007 | Journal Article
    ​ ​Integral equations for an inverse boundary value problem for the two-dimensional Stokes equations​
    Alves, C. J. S.; Kress, R.   & Silvestre, A. L.​ (2007) 
    Journal of Inverse and Ill-posed Problems, 15(5).​ DOI: https://doi.org/10.1515/jiip.2007.026 
    ​Details  DOI 
  • 2007 | Journal Article
    ​ ​Discrete quadratic curvature energies​
    Wardetzky, M. ; Bergou, M.; Harmon, D.; Zorin, D. & Grinspun, E.​ (2007) 
    Computer Aided Geometric Design, 24(8-9) pp. 499​-518​.​ DOI: https://doi.org/10.1016/j.cagd.2007.07.006 
    ​Details  DOI 
  • 2007 | Book Chapter
    ​ ​Cubic shells​
    Garg, A.; Grinspun, E.; Wardetzky, M.  & Zorin, D.​ (2007)
    In:​Gleicher, Michael; Thalmann, Daniel​ (Eds.), Symposium on Computer Animation 2007 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2007 pp. 91​-98. ​Association for Computing Machinery, Inc.
    ​Details 
  • 2007 | Book Chapter
    ​ ​Non-overlapping Domain Decomposition Methods for Incompressible Flows​
    Knopp, T.; Lube, G.  & Rapin, G.​ (2007)
    In:​Magoules, F.​ (Ed.), Mesh Partitioning Techniques and Domain Decomposition Methods pp. 239​-268. ​Saxe-Coburg Publications.
    ​Details 
  • 2007 | Journal Article
    ​ ​TRACKS: toward directable thin shells​
    Bergou, M.; Mathur, S.; Wardetzky, M.   & Grinspun, E.​ (2007) 
    ACM Transactions on Graphics, 26(3) art. 50​.​ DOI: https://doi.org/10.1145/1276377.1276439 
    ​Details  DOI 
  • 2007 | Journal Article
    ​ ​Convergence analysis of an inexact iteratively regularized Gauss-Newton method under general source conditions​
    Langer, S. & Hohage, T. ​ (2007) 
    J. Inverse Ill-Posed Probl., 15(3) pp. 311​-327​.​ DOI: https://doi.org/10.1515/jiip.2007.017 
    ​Details  DOI 
  • 2007 | Journal Article
    ​ ​Nonlinear integral equations for the inverse electrical impedance problem​
    Eckel, H. & Kress, R. ​ (2007) 
    Inverse Problems, 23(2) pp. 475​-491​.​ DOI: https://doi.org/10.1088/0266-5611/23/2/002 
    ​Details  DOI  WoS 
  • 2007 | Journal Article
    ​ ​Integral equations for inverse problems in corrosion detection from partial Cauchy data​
    Cakoni, F. & Kress, R. ​ (2007) 
    Inverse Problems and Imaging, 1(2) pp. 229​-245​.​
    ​Details  WoS 
  • 2007 | Journal Article
    ​ ​Convergence rates of general regularization methods for statistical inverse problems and applications​
    Bissantz, N.; Hohage, T. ; Munk, A.   & Ruymgaart, F.​ (2007) 
    SIAM Journal on Numerical Analysis, 45(6) pp. 2610​-2636​.​ DOI: https://doi.org/10.1137/060651884 
    ​Details  DOI  WoS 
  • 2007 | Journal Article
    ​ ​Detecting corrosion using thermal measurements​
    Hohage, T. ; Rapun, M.-L. & Sayas, F.-J.​ (2007) 
    Inverse Problems, 23(1) pp. 53​-72​.​ DOI: https://doi.org/10.1088/0266-5611/23/1/003 
    ​Details  DOI 
  • 2007 | Journal Article
    ​ ​Acoustic resonances in a high-lift configuration​
    Hein, S. ; Hohage, T. ; Koch, W.   & Schöberl, J.​ (2007) 
    J. Fluid Mech., 582 pp. 179​-202​.​ DOI: https://doi.org/10.1017/S0022112007005770 
    ​Details  DOI 
  • 2007 | Journal Article
    ​ ​Convergence of Unsymmetric Kernel‐Based Meshless Collocation Methods​
    Schaback, R. ​ (2007) 
    SIAM Journal on Numerical Analysis, 45(1) pp. 333​-351​.​ DOI: https://doi.org/10.1137/050633366 
    ​Details  DOI 
  • 2007 | Conference Abstract
    ​ ​A Posteriori Error Estimates for Meshless Methods​
    Schaback, R. ​ (2007)
    ​ECCOMAS​
    ​Details 
  • 2007 | Journal Article
    ​ ​Fast methods for three-dimensional inverse obstacle scattering problems​
    Harbrecht, H. & Hohage, T. ​ (2007) 
    J. Integral Equations Appl., 19(3) pp. 237​-260​.​ DOI: https://doi.org/10.1216/jiea/1190905486 
    ​Details  DOI 
  • 2007 | Thesis | Doctoral Thesis
    ​ ​Identification of Model and Grid Parameters for Incompressible Turbulent Flows​
    Zhang, X. Q.​ (2007)
    Georg-August-Universität Göttingen, Mathematische Fakultät. 
    ​Details 
  • 2007 | Journal Article
    ​ ​Numerical stability of biorthogonal wavelet transforms​
    Plonka-Hoch, G. ; Schumacher, H. & Tasche, M.​ (2007) 
    Advances in Computational Mathematics, 29(1) pp. 1​-25​.​ DOI: https://doi.org/10.1007/s10444-007-9034-7 
    ​Details  DOI 
  • 2007 | Journal Article | Research Paper | 
    ​ ​Uniqueness and numerical methods in inverse obstacle scattering​
    Kreß, R. ​ (2007) 
    Journal of Physics. Conference Series, 73(1) art. 012003​.​ DOI: https://doi.org/10.1088/1742-6596/73/1/012003 
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​A Multiscale Wavelet-Inspired Scheme for Nonlinear Diffusion​
    Plonka-Hoch, G.   & Steidel, G.​ (2006) 
    International Journal of Wavelets, Multiresolution and Information Processing, 04(01) pp. 1​-21​.​ DOI: https://doi.org/10.1142/s0219691306001063 
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​A new factorization technique of the matrix mask of univariate refinable functions​
    Plonka-Hoch, G.   & Ron, A.​ (2006) 
    Numerische Mathematik, 87(3) pp. 555​-595​.​ DOI: https://doi.org/10.1007/pl00005424 
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​Iterative reconstruction of dielectric rough surface profiles at fixed frequency​
    Akduman, I.; Kress, R.   & Yapar, A.​ (2006) 
    Inverse Problems, 22(3) pp. 939​-954​.​ DOI: https://doi.org/10.1088/0266-5611/22/3/013 
    ​Details  DOI  WoS 
  • 2006 | Conference Paper
    ​ ​A Quadratic Bending Model for Inextensible Surfaces​
    Bergou, M.; Wardetzky, M. ; Harmon, D.; Zorin, D. & Grinspun, E.​ (2006)
    In:Sheffer, Alla; Polthier, Konrad​ (Eds.), ​Symposium on Geometry Processing. 
    The Eurographics Association. DOI: https://doi.org/10.2312/SGP/SGP06/227-230 
    ​Details  DOI 
  • 2006 | Book Chapter
    ​ ​Stabilized FEM with anisotropic mesh refinement for the Oseen problem​
    Lube, G. ; Knopp, T.& Gritzki, R.​ (2006)
    In: Proceedings ENUMATH 2005 pp. 799​-806. ​Springer.
    ​Details 
  • 2006 | Journal Article
    ​ ​Conformal mapping and an inverse impedance boundary value problem​
    Haddar, H. & Kress, R. ​ (2006) 
    Journal of Inverse and Ill-posed Problems, 14(8) pp. 785​-804​.​ DOI: https://doi.org/10.1515/156939406779768319 
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​Nonlinear Integral Equations for Solving Inverse Boundary Value Problems for Inclusions and Cracks​
    Ivanyshyn, O. & Kress, R. ​ (2006) 
    Journal of Integral Equations and Applications, 18(1) pp. 13​-38​.​ DOI: https://doi.org/10.1216/jiea/1181075363 
    ​Details  DOI 
  • 2006 | Book Chapter
    ​ ​Nonlinear integral equations in inverse obstacle scattering​
    Kress, R.  & Ivanyshyn, O.​ (2006)
    In: Mathematical Methods in Scattering Theory and Biomedical Engineering pp. 39​-50. ​Singapore: ​World Scientific.
    ​Details 
  • 2006 | Book Chapter
    ​ ​Stabilized finite element methods with anisotropic mesh refinement for the Oseen problem​
    Apel, T.; Knopp, T.& Lube, G. ​ (2006)
    In:​Lube, Gert; Rapin, G.​ (Eds.), Proc. Intern. Conf. Boundary and Interior Layers (BAIL 2006) pp. 1​-8. ​Göttingen. 
    ​Details 
  • 2006 | Book Chapter
    ​ ​Stabilized FEM for incompressible flows. A critical review and new trends​
    Lube, G. ​ (2006)
    In: Proceedings of ECCOMAS CFD 2006 pp. 1​-20. 
    ​Details 
  • 2006 | Journal Article
    ​ ​Kernel B-splines and interpolation​
    Bozzini, M.; Lenarduzzi, L. & Schaback, R. ​ (2006) 
    Numerical Algorithms, 41(1) pp. 1​-16​.​ DOI: https://doi.org/10.1007/s11075-005-9000-8 
    ​Details  DOI  WoS 
  • 2006 | Journal Article
    ​ ​Linearly constrained reconstruction of functions by kernels with applications to machine learning​
    Schaback, R.   & Werner, J.​ (2006) 
    Advances in Computational Mathematics, 25(1-3) pp. 237​-258​.​ DOI: https://doi.org/10.1007/s10444-004-7616-1 
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​Residual-based stabilized higher-order FEM for advection-dominated problems​
    Lube, G.   & Rapin, G.​ (2006) 
    Computer Methods in Applied Mechanics and Engineering, 195(33-36) pp. 4124​-4138​.​ DOI: https://doi.org/10.1016/j.cma.2005.07.017 
    ​Details  DOI  WoS 
  • 2006 | Journal Article
    ​ ​Fast numerical solution of the electromagnetic medium scattering problem and applications to the inverse problem​
    Hohage, T. ​ (2006) 
    J. Comput. Phys., 214(1) pp. 224​-238​.​ DOI: https://doi.org/10.1016/j.jcp.2005.09.025 
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​Solvability of partial differential equations by meshless kernel methods​
    Hon, Y. C. & Schaback, R. ​ (2006) 
    Advances in Computational Mathematics, 28(3) pp. 283​-299​.​ DOI: https://doi.org/10.1007/s10444-006-9023-2 
    ​Details  DOI 
  • 2006 | Thesis | Doctoral Thesis
    ​ ​Ein Gebietszerlegungsverfahren für parabolische Probleme im Zusammenhang mit Finite-Volumen-Diskretisierung​
    Held, J.​ (2006)
    Georg-August-Universität Göttingen, Mathematische Fakultät. 
    ​Details 
  • 2006 | Thesis | Doctoral Thesis
    ​ ​Generic programming and algebraic multigrid for stabilized finite element methods​
    Klimanis, N.​ (2006)
    Georg-August-Universität Göttingen, Mathematische Fakultät. 
    ​Details 
  • 2006 | Conference Paper
    ​ ​Why Does MLPG Work?​
    Schaback, R. ​ (2006)
    ​ICCES 07​
    ​Details 
  • 2006 | Journal Article
    ​ ​Results on meshless collocation techniques​
    Ling, L.; Opfer, R. & Schaback, R. ​ (2006) 
    Engineering Analysis with Boundary Elements, 30(4) pp. 247​-253​.​ DOI: https://doi.org/10.1016/j.enganabound.2005.08.008 
    ​Details  DOI  WoS 
  • 2006 | Journal Article
    ​ ​Algebraic Topology on Polyhedral Surfaces from Finite Elements​
    Wardetzky, M. ; Hildebrandt, K. & Polthier, K.​ (2006) 
    Oberwolfach Reports, 12.​
    ​Details 
  • 2006 | Journal Article
    ​ ​On the convergence of metric and geometric properties of polyhedral surfaces​
    Hildebrandt, K.; Polthier, K. & Wardetzky, M. ​ (2006) 
    Geometriae Dedicata, 123(1) pp. 89​-112​.​ DOI: https://doi.org/10.1007/s10711-006-9109-5 
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​Residual-based stabilized higher-order fem for a generalized Oseen problem​
    Lube, G.   & Rapin, G.​ (2006) 
    Mathematical Models and Methods in Applied Sciences, 16(7) pp. 949​-966​.​ DOI: https://doi.org/10.1142/S0218202506001418 
    ​Details  DOI  WoS 
  • 2006 | Review
    ​ ​Using fundamental solutions in inverse scattering​
    Colton, D.& Kress, R. ​ (2006)
    Inverse Problems, 22​(3) pp. R49​-R66​.​
    Iop Publishing Ltd. DOI: https://doi.org/10.1088/0266-5611/22/3/R01 
    ​Details  DOI  WoS 
  • 2006 | Journal Article
    ​ ​Kernel techniques: From machine learning to meshless methods​
    Schaback, R.   & Wendland, H.​ (2006) 
    Acta Numerica, 15 pp. 543​-639​.​ DOI: https://doi.org/10.1017/S0962492906270016 
    ​Details  DOI 
  • 2005 | Journal Article
    ​ ​A Lepskij's stopping rule for Newton-type methods with random noise​
    Bauer, F.   & Hohage, T. ​ (2005) 
    Proceedings in Applied Mathematics and Mechanics, 5(1) pp. 15​-18​.​ DOI: https://doi.org/10.1002/pamm.200510005 
    ​Details  DOI 
  • 2005 | Journal Article
    ​ ​On radiation conditions for rough surface scattering problems​
    Arens, T. & Hohage, T. ​ (2005) 
    IMA Journal of Applied Mathematics, 70(6) pp. 839​-847​.​ DOI: https://doi.org/10.1093/imamat/hxh065 
    ​Details  DOI 
  • 2005 | Journal Article
    ​ ​Near-optimal data-independent point locations for radial basis function interpolation​
    Marchi, S.; Schaback, R.   & Wendland, H.​ (2005) 
    Advances in Computational Mathematics, 23(3) pp. 317​-330​.​ DOI: https://doi.org/10.1007/s10444-004-1829-1 
    ​Details  DOI  WoS 
  • 2005 | Journal Article
    ​ ​A hybrid method for two-dimensional crack reconstruction​
    Kress, R.   & Serranho, P.​ (2005) 
    Inverse Problems, 21(2) pp. 773​-784​.​ DOI: https://doi.org/10.1088/0266-5611/21/2/020 
    ​Details  DOI  WoS 
  • 2005 | Journal Article
    ​ ​A hybrid method for inverse boundary value problems in potential theory​
    Chapko, R. & Kress, R. ​ (2005) 
    Journal of Inverse and Ill-posed Problems, 13(1) pp. 27​-40​.​ DOI: https://doi.org/10.1515/1569394053583711 
    ​Details  DOI 
  • 2005 | Journal Article
    ​ ​A Lepskij-type stopping rule for regularized Newton methods​
    Bauer, F.   & Hohage, T. ​ (2005) 
    Inverse Problems, 21(6) pp. 1975​-1991​.​ DOI: https://doi.org/10.1088/0266-5611/21/6/011 
    ​Details  DOI 
  • 2005 | Journal Article
    ​ ​Conformal mappings and inverse houndary value problems​
    Haddar, H. & Kress, R. ​ (2005) 
    Inverse Problems, 21(3) pp. 935​-953​.​ DOI: https://doi.org/10.1088/0266-5611/21/3/009 
    ​Details  DOI  WoS 
  • 2005 | Journal Article
    ​ ​Worst-case error analysis of lifting-based fast DCT-algorithms​
    Primbs, M.​ (2005) 
    IEEE Transactions on Signal Processing, 53(8) pp. 3211​-3218​.​ DOI: https://doi.org/10.1109/TSP.2005.851114 
    ​Details  DOI 
  • 2005 | Monograph
    ​ ​Numerische Mathematik​ ​(5. ed.) 
    Schaback, R.  & Wendland, H.​ (2005)
    Berlin​: Springer.
    ​Details 
  • 2005 | Conference Paper
    ​ ​An iterative method for inverse medium scattering problems based on factorization of the far field operator​
    Hohage, T. ​ (2005)
    ​The 2nd International Converence on Inverse Problems: Recent Theoretical Development and Numerical Approaches. Fudan University, Shanghai pp. 33​-45. (Vol. 12). 
    London​: IOP.
    ​Details 
  • 2005 | Journal Article
    ​ ​Numerical solution of a heat diffusion problem by boundary element methods using the Laplace transform​
    Hohage, T.   & Sayas, F.​ (2005) 
    Numerische Mathematik, 102(1) pp. 67​-92​.​ DOI: https://doi.org/10.1007/s00211-005-0645-y 
    ​Details  DOI 
  • 2005 | Conference Paper
    ​ ​Smooth Feature Lines on Surface Meshes​
    Hildebrandt, K.; Polthier, K. & Wardetzky, M. ​ (2005)
    ​Proceedings of the Third Eurographics Symposium on Geometry Processing (SGP '05). 
    Aire-la-Ville, Switzerland, Switzerland​: Eurographics Association.
    ​Details 
  • 2005 | Thesis | Doctoral Thesis
    ​ ​Multistage Programming in C++​
    Priesnitz, A.​ (2005)
    Georg-August-Universität Göttingen, Mathematische Fakultät. 
    ​Details 
  • 2005 | Journal Article
    ​ ​Multivariate interpolation by polynomials and radial basis functions​
    Schaback, R. ​ (2005) 
    Constructive Approximation, 21(3) pp. 293​-317​.​ DOI: https://doi.org/10.1007/s00365-004-0585-2 
    ​Details  DOI  WoS 
  • 2005 | Journal Article
    ​ ​FreeLence - Coding with free Valences​
    Kälberer, F.; Polthier, K.; Reitebuch, U. & Wardetzky, M. ​ (2005) 
    Eurographics (Computer Graphics Forum),.​
    ​Details 
  • 2005 | Conference Paper
    ​ ​Convergence Analysis of Methods for Solving General Equations​
    Schaback, R. ​ (2005)
    ​Proceedings. ​27th World Conference on Boundary Elements and other Mesh Reduction Methods (BEM05)​, Orlando, Florida.
    ​Details 
  • 2005 | Journal Article
    ​ ​Nonlinear integral equations and the iterative solution for an inverse boundary value problem​
    Kress, R.   & Rundell, W.​ (2005) 
    Inverse Problems, 21(4) pp. 1207​-1223​.​ DOI: https://doi.org/10.1088/0266-5611/21/4/002 
    ​Details  DOI  WoS 
  • 2005 | Journal Article
    ​ ​One-dimensional profile inversion of a cylindrical layer with inhomogeneous impedance boundary: A Newton-type iterative solution​
    Yapar, A.; Sahinturk, H.; Akduman, I. & Kress, R. ​ (2005) 
    IEEE Transactions on Geoscience and Remote Sensing, 43(10) pp. 2192​-2199​.​ DOI: https://doi.org/10.1109/TGRS.2005.855068 
    ​Details  DOI  WoS 
  • 2005 | Journal Article | Research Paper | 
    ​ ​An iterative method for inverse medium scattering problems based on factorization of the far field operator​
    Hohage, T. ​ (2005) 
    Journal of Physics. Conference Series, 12(1) pp. 33​.​ DOI: https://doi.org/10.1088/1742-6596/12/1/004 
    ​Details  DOI 
  • 2004 | Journal Article
    ​ ​Fast and numerically stable algorithms for discrete cosine transforms​
    Plonka-Hoch, G.   & Tasche, M.​ (2004) 
    Linear Algebra and its Applications, 394 pp. 309​-345​.​ DOI: https://doi.org/10.1016/j.laa.2004.07.015 
    ​Details  DOI 
  • 2004 | Book Chapter
    ​ ​Decomposition methods in inverse obstacle scattering via Newton iteration​
    Kress, R. ​ (2004)
    In: Advances in Scattering and Biomedical Engineering pp. 91​-102. ​Singapore: ​World Scientific.
    ​Details 
  • 2004 | Book Chapter
    ​ ​Uniqueness in inverse obstacle scattering​
    Kress, R. ​ (2004)
    In: New Analytic and Geometric Methods in Inverse Problems pp. 323​-336. ​Berlin: ​Springer.
    ​Details 
  • 2004 | Journal Article
    ​ ​Consistency and rates of convergence of nonlinear Tikhonov regularization with random noise​
    Bissantz, N.; Hohage, T.   & Munk, A. ​ (2004) 
    Inverse Problems, 20(6) pp. 1773​-1789​.​ DOI: https://doi.org/10.1088/0266-5611/20/6/005 
    ​Details  DOI  WoS 
  • 2004 | Book Chapter
    ​ ​Numerical stability of fast trigonometric and orthogonal wavelet transforms​
    Plonka-Hoch, G.  & Tasche, M.​ (2004)
    In:​Neamtu, M.; Saff, E.B.​ (Eds.), Advances in Constructive Approximation: Vanderbilt pp. 393​-419. ​Brentwood: ​Nashboro Press.
    ​Details 
  • 2004 | Journal Article
    ​ ​On the Frechet derivative for obstacle scattering with an impedance boundary condition​
    Haddar, H. & Kress, R. ​ (2004) 
    SIAM Journal on Applied Mathematics, 65(1) pp. 194​-208​.​ DOI: https://doi.org/10.1137/S0036139903435413 
    ​Details  DOI  WoS 
  • 2004 | Journal Article
    ​ ​On resonances in open systems​
    Hein, S. ; Hohage, T.   & Koch, W. ​ (2004) 
    Journal of Fluid Mechanics, 506 pp. 255​-284​.​ DOI: https://doi.org/10.1017/S0022112004008584 
    ​Details  DOI 
  • 2004 | Conference Paper
    ​ ​On Adaptive Unsymmetric Meshless Collocation​
    Ling, L. & Schaback, R. ​ (2004)
    ​Proceedings. ​International Conference on Computational & Experimental Engineering and Sciences​, Forsyth, USA.
    ​Details 
  • 2004 | Journal Article
    ​ ​Interpolation by basis functions of different scales and shapes​
    Bozzini, M.; Lenarduzzi, L.; Rossini, M. & Schaback, R. ​ (2004) 
    CALCOLO, 41(2) pp. 77​-87​.​ DOI: https://doi.org/10.1007/s10092-004-0085-6 10.1007/BF02637256 
    ​Details  DOI; DOI  WoS 
  • 2004 | Conference Paper
    ​ ​Inverse Dirichlet problem and conformal mapping​
    Kress, R. ​ (2004)
    Mathematics and Computers in Simulation, 66(4-5) pp. 255​-265. ​Workshop on Inverse Obstacle Problems​, Lisbon, PORTUGAL.
    Amsterdam​: Elsevier Science. DOI: https://doi.org/10.1016/j.matcom.2004.02.006 
    ​Details  DOI  WoS 
  • 2004 | Working Paper | 
    ​ ​Line planning with minimal transfers​ (​​NAM-Bericht​, 72​​)
    Schöbel, A.& Scholl, S.​ (2004)
    Göttingen​: Institut für Numerische und Angewandte Mathematik der Universität Göttingen.
    ​Details 
  • 2003 | Journal Article
    ​ ​An adaptive greedy algorithm for solving large RBF collocation problems​
    Hong, Y.-C.; Schaback, R.   & Zhou, X.​ (2003) 
    Numerical Algorithms, 32(1) pp. 13​-25​.​ DOI: https://doi.org/10.1023/A:1022253303343 
    ​Details  DOI  WoS 
  • 2003 | Journal Article
    ​ ​Properties of locally linearly independent refinable function vectors​
    Plonka, G.   & Zhou, D.-X.​ (2003) 
    Journal of Approximation Theory, 122(1) pp. 24​-41​.​ DOI: https://doi.org/10.1016/s0021-9045(03)00036-4 
    ​Details  DOI 
  • 2003 | Journal Article
    ​ ​Invertible integer DCT algorithms​
    Plonka, G.   & Tasche, M.​ (2003) 
    Applied and Computational Harmonic Analysis, 15(1) pp. 70​-88​.​ DOI: https://doi.org/10.1016/s1063-5203(03)00032-0 
    ​Details  DOI 
  • 2003 | Journal Article
    ​ ​Direct and inverse scattering problems for inhomogeneous impedance cylinders of arbitrary shape​
    Akduman, I. & Kress, R. ​ (2003) 
    Radio Science, 38(3) art. 1055​.​ DOI: https://doi.org/10.1029/2002RS002631 
    ​Details  DOI  WoS 
  • 2003 | Journal Article
    ​ ​Solving Time-Harmonic Scattering Problems Based on the Pole Condition I: Theory​
    Hohage, T. ; Schmidt, F. & Zschiedrich, L.​ (2003) 
    SIAM Journal on Mathematical Analysis, 35(1) pp. 183​-210​.​ DOI: https://doi.org/10.1137/S0036141002406473 
    ​Details  DOI 
  • 2003 | Journal Article
    ​ ​Solving time-harmonic scattering problems based on the pole condition. II: Convergence of the PML method​
    Hohage, T. ; Schmidt, F. & Zschiedrich, L.​ (2003) 
    SIAM Journal on Mathematical Analysis, 35(3) pp. 547​-560​.​ DOI: https://doi.org/10.1137/S0036141002406485 
    ​Details  DOI 
  • 2003 | Journal Article
    ​ ​Construction of Multiscaling Functions with Approximation and Symmetry​
    Plonka-Hoch, G.   & Strela, V.​ (2003) 
    SIAM Journal on Mathematical Analysis, 29(2) pp. 481​-510​.​ DOI: https://doi.org/10.1137/s0036141096297182 
    ​Details  DOI 
  • 2003 | Book Chapter
    ​ ​On the Versatility of Meshless Kernel Methods​
    Schaback, R. ​ (2003)
    In:​Atluri, S. N.; Beskos, D. E.; Polyzos, D.​ (Eds.), Advances in Computational and Experimental Engineering and Sciences. 
    ​Details 
  • 2003 | Conference Paper
    ​ ​Mathematical Results Concerning Kernel Techniques​
    Schaback, R. ​ (2003)
    ​Proceedings. ​13th IFAC Symposium on System Identification​, Rotterdam.
    ​Details 
  • 2003 | Journal Article
    ​ ​Newton's method for inverse obstacle scattering meets the method of least squares​
    Kress, R. ​ (2003) 
    Inverse Problems, 19(6) art. PII S0266-5611(03)6201-7​.​ DOI: https://doi.org/10.1088/0266-5611/19/6/056 
    ​Details  DOI  WoS 
  • 2003 | Book Chapter
    ​ ​Recent Developments in the Dual Reciprocity Method Using Compactly Supported Radial Basis Functions​
    Schaback, R. ; Chen, C. S.& Golberg, M. A.​ (2003)
    In:​Rashed, Y. F.; Brebbia, C. A.​ (Eds.), Transformation of Domain Effects to the Boundary pp. 138​-225. ​Southampton, Boston: ​WIT Press.
    ​Details 
  • 2003 | Thesis | Doctoral Thesis
    ​ ​The three-field formulation for elliptic equations: stabilization and decoupling strategies​
    Rapin, G.​ (2003)
    Georg-August-Universität Göttingen, Mathematische Fakultät. 
    ​Details 
  • 2003 | Thesis | Doctoral Thesis
    ​ ​Finite-element simulation of buoyancy-driven turbulent flows​
    Knopp, T.​ (2003)
    Georg-August-Universität Göttingen, Mathematische Fakultät. 
    ​Details 
  • 2003 | Conference Abstract
    ​ ​Special Techniques for Kernel-Based Reconstruction of Functions from Meshless Data​
    Schaback, R. ​ (2003)
    ​International Workshop on Meshfree Methods​, Lisbon.
    ​Details 
  • 2003 | Journal Article
    ​ ​Integral equation methods for scattering from an impedance crack​
    Kress, R.   & Lee, K. M.​ (2003) 
    Journal of Computational and Applied Mathematics, 161(1) pp. 161​-177​.​ DOI: https://doi.org/10.1016/S0377-0427(03)00586-7 
    ​Details  DOI  WoS 
  • 2003 | Journal Article
    ​ ​A Factorization Method for an Inverse Neumann Problem for Harmonic Vector Fields​
    Kress, R. ​ (2003) 
    Georgian Mathematical Journal, 10(3) pp. 549​-560​.​ DOI: https://doi.org/10.1515/GMJ.2003.549 
    ​Details  DOI 
  • 2002 | Journal Article
    ​ ​Electrostatic imaging via conformal mapping​
    Akduman, I. & Kress, R. ​ (2002) 
    Inverse Problems, 18(6) art. PII S0266-5611(02)37141-7​.​ DOI: https://doi.org/10.1088/0266-5611/18/6/315 
    ​Details  DOI  WoS 
  • 2002 | Journal Article
    ​ ​Convergence of Cascade Algorithms in Sobolev Spaces for Perturbed Refinement Masks​
    Chen, D.-R. & Plonka, G. ​ (2002) 
    Journal of Approximation Theory, 119(2) pp. 133​-155​.​ DOI: https://doi.org/10.1006/jath.2002.3682 
    ​Details  DOI 
  • 2002 | Book Chapter
    ​ ​Uniqueness in inverse obstacle scattering for electromagnetic waves​
    Kress, R. ​ (2002)
    In: Proceedings of the URSI General Assembly 2002, Maastricht. 
    ​Details 
  • 2002 | Book Chapter
    ​ ​A sampling method for an inverse boundary value problem for harmonic vector fields​
    Kress, R. ​ (2002)
    In: Ill-Posed and Inverse Problems pp. 243​-262. ​Utrecht: ​VSP.
    ​Details 
  • 2002 | Conference Paper
    ​ ​Linear sampling methods for, inverse boundary value problems in potential theory​
    Kress, R.   & Kuhn, L.​ (2002)
    Applied Numerical Mathematics, 43(1-2) pp. 161​-173. ​19th Dundee Biennial Conference on Numerical Analysis​, UNIV DUNDEE, NETHERGATE, SCOTLAND.
    Amsterdam​: Elsevier Science. DOI: https://doi.org/10.1016/S0168-9274(02)00123-X 
    ​Details  DOI  WoS 
  • 2002 | Conference Paper
    ​ ​A new method for the solution of scattering problems​
    Hohage, T. ; Schmidt, F. & Zschiedrich, L.​ (2002)
    In:Michielsen, Bas; Decavèle, Francine​ (Eds.), ​Proceedings of the European Symposium on Numerical Methods in Electromagnetics: JEE 02 pp. 251​-256. 
    Toulouse​
    ​Details 
  • 2002 | Journal Article
    ​ ​Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization​
    Bauschke, H. H.; Combettes, P. L. & Luke, D. R. ​ (2002) 
    Journal of the Optical Society of America A, 19(7) art. 1334​.​ DOI: https://doi.org/10.1364/josaa.19.001334 
    ​Details  DOI 
  • 2002 | Journal Article
    ​ ​Adaptive interpolation by scaled multiquadrics​
    Bozzini, M.; Lenarduzzi, L. & Schaback, R. ​ (2002) 
    Advances in Computational Mathematics, 16(4) pp. 375​-387​.​ DOI: https://doi.org/10.1023/A:1014584220418 
    ​Details  DOI  WoS 
  • 2002 | Journal Article
    ​ ​On the far-field operator in elastic obstacle scattering​
    Alves, C. & Kress, R. ​ (2002) 
    IMA Journal of Applied Mathematics, 67(1) pp. 1​-21​.​ DOI: https://doi.org/10.1093/imamat/67.1.1 
    ​Details  DOI  WoS 
  • 2002 | Journal Article
    ​ ​Inverse and saturation theorems for radial basis function interpolation​
    Schaback, R.   & Wendland, H.​ (2002) 
    Mathematics of Computation, 71(238) art. PII S 0025-5718(01)01383-7​.​
    ​Details  WoS 
  • 2002 | Book Chapter
    ​ ​How many holes can locally linearly independent refinable function vectors have?​
    Plonka-Hoch, G. ​ (2002)
    In:​Levesley, J.; Anderson, I. J.; Mason, J. C.​ (Eds.), Algorithms for Approximation IV pp. 378​-393. ​The University of Huddersfield.
    ​Details 
  • 2002 | Journal Article
    ​ ​Approximation in Sobolev spaces by kernel expansions​
    Narcowich, F. J.; Schaback, R.   & Ward, J. D.​ (2002) 
    Journal of Approximation Theory, 114(1) pp. 70​-83​.​ DOI: https://doi.org/10.1006/jath.2001.3637 
    ​Details  DOI  WoS 
  • 2002 | Book Chapter
    ​ ​Approximation by Positive Definite Kernels​
    Schaback, R.  & Wendland, H.​ (2002)
    In:​Buhmann, M. D.; Mache, D. H.​ (Eds.), Advanced Problems in Constructive Approximation pp. 203​-221. 
    ​Details 
  • 2002 | Book Chapter
    ​ ​Stability of Radial Basis Function Interpolants​
    Schaback, R. ​ (2002)
    In:​Chui, C. K.; Schumaker, L. L.; Stöckler, J.​ (Eds.), Approximation Theory X: Wavelets, Splines, and Applications pp. 433​-440. ​Nashville: ​Vanderbilt Univ. Press.
    ​Details 
  • 2002 | Journal Article
    ​ ​Reconstruction of a current distribution from its magnetic field​
    Kress, R. ; Kuhn, L. & Potthast, R.​ (2002) 
    Inverse Problems, 18(4) art. PII S0266-5611(02)31095-5​.​ DOI: https://doi.org/10.1088/0266-5611/18/4/312 
    ​Details  DOI  WoS 
  • 2001 | Journal Article
    ​ ​Iterative solution of the inverse scattering problem for a locally perturbed half-plane​
    Kress, R. ​ (2001) 
    Kleinheubacher Berichte, 44 pp. 400​-411​.​
    ​Details 
  • 2001 | Book Chapter
    ​ ​Acoustic scattering: Specific theoretical tools​
    Kress, R. ​ (2001)
    In: Scattering pp. 37​-51. ​London: ​Academic Press.
    ​Details 
  • 2001 | Book Chapter
    ​ ​Electromagnetic waves scattering: Scattering by obstacles​
    Kress, R. ​ (2001)
    In: Scattering pp. 191​-210. ​London: ​Academic Press.
    ​Details 
  • 2001 | Book Chapter
    ​ ​Acoustic scattering: Scattering by obstacles​
    Kress, R. ​ (2001)
    In: Scattering pp. 52​-73. ​London: ​Academic Press.
    ​Details 
  • 2001 | Book Chapter
    ​ ​Electromagnetic waves scattering: Specific theoretical tools​
    Kress, R. ​ (2001)
    In: Scattering pp. 175​-190. ​London: ​Academic Press.
    ​Details 
  • 2001 | Conference Paper
    ​ ​Inverse scattering for shape and impedance​
    Kress, R.   & Rundell, W.​ (2001)
    Inverse Problems, 17(4) pp. 1075​-1085. ​Conference RCP264: Inverse Problems and Nonlinearity​, MONTPELLIER, FRANCE.
    Bristol​: Iop Publishing. DOI: https://doi.org/10.1088/0266-5611/17/4/334 
    ​Details  DOI  WoS 
  • 2001 | Book Chapter
    ​ ​Characterization and Construction of Radial Basis Functions​
    Schaback, R.  & Wendland, H.​ (2001)
    In:​Dyn, N.; Leviatan, D.; Levin, D.; Pinkus, A.​ (Eds.), Multivariate Approximation and Applications pp. 1​-24. ​Cambridge: ​Cambridge University Press.
    ​Details 
  • 2001 | Preprint
    ​ ​Optimal Stability Results for Interpolation by Kernel Functions​
    Schaback, R. ; Narcowich, F. J.& Ward, J. D.​ (2001)
    ​Details 
  • 2001 | Thesis | Doctoral Thesis
    ​ ​Bestimmung der Effektivität nutzerbedingter Fensterbelüftung mit Hilfe numerischer Simulationsverfahren​
    Gritzki, R.​ (2001)
    TU Dresden, Fakultät für Maschinenwesen. 
    ​Details 
  • 2001 | Thesis | Doctoral Thesis
    ​ ​Zur Vorkonditionierung ausgewählter Krylov-Unterraum-Methoden bei stabilisierten Finite-Elemente-Verfahren​
    Müller, S.​ (2001)
    Georg-August-Universität Göttingen, Mathematische Fakultät. 
    ​Details 

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