Prof. Dr. Rainer Kreß

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  • 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 
  • 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 
  • 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 
  • 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
    ​ ​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
    ​ ​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 | 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 
  • 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
    ​ ​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
    ​ ​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 
  • 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 
  • 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 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 
  • 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 | 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 | 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 | 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 
  • 2013 | Monograph
    ​ ​Integral equation methods in scattering theory​ ​(Reprint. ed.) 
    Colton, D.& Kress, R. ​ (2013)
    Philadelphia​: SIAM.
    ​Details 
  • 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 | 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
    ​ ​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 
  • 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
    ​ ​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
    ​ ​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 
  • 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 | 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 | 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 | 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 | 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 | 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
    ​ ​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
    ​ ​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 | 
    ​ ​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 | 
    ​ ​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 
  • 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 | 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 | 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 | 
    ​ ​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 
  • 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
    ​ ​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 | 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
    ​ ​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
    ​ ​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 | 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
    ​ ​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
    ​ ​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 | 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
    ​ ​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 | 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 | 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 
  • 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
    ​ ​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
    ​ ​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 
  • 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
    ​ ​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 | 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 
  • 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
    ​ ​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 | 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 | 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 | 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
    ​ ​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 | Journal Article
    ​ ​On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces​
    Colton, D. & Kress, R. ​ (2001) 
    Mathematical Methods in the Applied Sciences, 24(16) pp. 1289​-1303​.​ DOI: https://doi.org/10.1002/mma.277 
    ​Details  DOI  WoS 
  • 2000 | Journal Article
    ​ ​An inverse boundary value problem for the Oseen equation​
    Kress, R.   & Meyer, S.​ (2000) 
    Mathematical Methods in the Applied Sciences, 23(2) pp. 103​-120​.​ DOI: https://doi.org/10.1002/(SICI)1099-1476(20000125)23:2<103::AID-MMA106>3.0.CO;2-4 
    ​Details  DOI  WoS 
  • 2000 | Book Chapter
    ​ ​On the numerical solution of initial boundary value problems by the Laguerre transformation and boundary integral equations​
    Kress, R.  & Chapko, R.​ (2000)
    In: Integral and Integrodifferential Equations: Theory pp. 55​-69. ​Amsterdam: ​Gordon and Breach Science Publishers.
    ​Details 
  • 2000 | Journal Article
    ​ ​Numerical methods in inverse obstacle scattering​
    Kress, R. ​ (2000) 
    The ANZIAM Journal, 42(E) pp. C44​-C67​.​
    ​Details 
  • 2000 | Book Chapter
    ​ ​Uniqueness for a linearized inverse obstacle problem using backscattering data​
    Kress, R.  & Hähner, P.​ (2000)
    In: Proceedings of the Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation pp. 489​-493. ​Philadelphia: ​SIAM Publications.
    ​Details 
  • 2000 | Book Chapter
    ​ ​Inverse obstacle scattering with modified or reduced data​
    Kress, R. ​ (2000)
    In: Scattering Theory and Biomedical Engineering Modelling and Applications pp. 10​-18. ​Singapore: ​World Scientific.
    ​Details 
  • 2000 | Journal Article
    ​ ​Inverse obstacle scattering with modified ar reduced data​
    Kress, R. ​ (2000) 
    ZAMM, 80 pp. S229​-S232​.​
    ​Details  WoS 
  • 2000 | Book Chapter
    ​ ​Obstacle scattering as seen by R.K. and R.K.​
    Kress, R. ​ (2000)
    In: Analytical and Computational Methods in Scattering and Applied Mathematics pp. 165​-175. ​Boca Raton: ​Clapman & Hall/CRC.
    ​Details 
  • 2000 | Journal Article
    ​ ​Integral equation methods in inverse obstacle scattering​
    Kress, R. ​ (2000) 
    The ANZIAM Journal, 42 pp. 65​-78​.​
    ​Details  WoS 
  • 2000 | Journal Article
    ​ ​On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack​
    Chapko, R.; Kress, R.   & Monch, L.​ (2000) 
    IMA Journal of Numerical Analysis, 20(4) pp. 601​-619​.​ DOI: https://doi.org/10.1093/imanum/20.4.601 
    ​Details  DOI  WoS 
  • 2000 | Journal Article
    ​ ​Inverse scattering for a locally perturbed half-plane​
    Kress, R.   & Tran, T.​ (2000) 
    Inverse Problems, 16(5) pp. 1541​-1559​.​ DOI: https://doi.org/10.1088/0266-5611/16/5/323 
    ​Details  DOI  WoS 
  • 1999 | Monograph
    ​ ​Linear Integral Equations​ ​(2. ed.) 
    Kress, R. ​ (1999)
    New York, NY​: Springer.
    ​Details 
  • 1998 | Monograph
    ​ ​Inverse Acoustic and Electromagnetic Scattering Theory​ ​(2. ed.) 
    Colton, D.& Kress, R. ​ (1998)
    Berlin​: Springer.
    ​Details 
  • 1998 | Monograph
    ​ ​Numerical analysis​ ​
    Kress, R. ​ (1998)
    New York​: Springer.
    ​Details 
  • 1997 | Book Chapter
    ​ ​Numerical methods in inverse obstacle scattering​
    Kress, R. ​ (1997)
    In:​Chavent, Guy; Sabatier, Pierre C.​ (Eds.), Inverse Problems of Wave Propagation and Diffraction pp. 93​-106. ​Berlin: ​Springer. DOI: https://doi.org/10.1007/BFb0105763 
    ​Details  DOI 
  • 1995 | Journal Article
    ​ ​On the numerical solution of a hypersingular integral equation in scattering theory​
    Kreß, R. ​ (1995) 
    Journal of Computational and Applied Mathematics, 61(3) pp. 345​-360​.​ DOI: https://doi.org/10.1016/0377-0427(94)00073-7 
    ​Details  DOI 
  • 1992 | Monograph
    ​ ​Inverse Acoustic and Electromagnetic Scattering Theory​ ​(1. ed.) 
    Colton, D.& Kress, R. ​ (1992)
    Berlin​: Springer.
    ​Details 
  • 1989 | Monograph
    ​ ​Linear integral equations​ ​(1. ed.) 
    Kress, R. ​ (1989)
    Berlin​: Springer.
    ​Details 
  • 1983 | Monograph
    ​ ​Integral equation methods in scattering theory​ ​
    Colton, D.& Kress, R. ​ (1983)
    New York​: Wiley.
    ​Details 
  • 1976 | Monograph | Textbook, Manual
    ​ ​Einführung in die Numerische Mathematik​ ​(Vol. 2) 
    Brosowski, B.& Kreß, R. ​ (1976)
    Mannheim​: Bibliographisches Institut.
    ​Details 
  • 1975 | Monograph | Textbook, Manual
    ​ ​Einführung in die Numerische Mathematik​ ​(Vol. 1) 
    Brosowski, B.& Kreß, R. ​ (1975)
    Mannheim​: Bibliographisches Institut.
    ​Details 

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