Edit Profile (opens in new tab) Kress, Rainer Compute Distance To: Compute Author ID: kress.rainer Published as: Kress, Rainer; Kress, R.; Kreß, Rainer more...less Homepage: http://num.math.uni-goettingen.de/kress/ External Links: MGP · dblp · GND Documents Indexed: 204 Publications since 1968, including 15 Books 4 Contributions as Editor Reviewing Activity: 1 Review Biographic References: 2 Publications Co-Authors: 52 Co-Authors with 122 Joint Publications 862 Co-Co-Authors all top 5 Co-Authors 84 single-authored 26 Colton, David Lem 8 Ivanyshyn, Olha 8 Rundell, William 7 Cakoni, Fioralba 7 Chapko, Roman 6 Haddar, Houssem 5 de Vries, Hans-Ludwig 4 Kirsch, Andreas 4 Knauff, Werner 4 Serranho, Pedro 4 Wegmann, Rudolf 3 Akduman, Ibrahim 3 Alves, Carlos J. S. 3 Delbary, Fabrice 3 Kleinman, Ralph Ellis 3 Martensen, Erich 3 Monk, Peter B. 3 Roach, Gary Francis 3 Zinn, Axel 2 Altundag, Ahmet 2 Angell, Thomas S. 2 Brosowski, Bruno 2 Eckel, Harry 2 Engl, Heinz W. 2 Kühn, Lars 2 Lee, Kuo-Ming 2 Potthast, Roland W. E. 2 Schuft, Christian 2 Sloan, Ian Hugh 2 Yaman, Fatih 2 Yapar, Ali 2 Yoon, Jeong-Rock 1 Chawla, Man M. 1 Erhard, Klaus 1 Gerlach, Thomas 1 Gonzalez, R. 1 Hähner, Peter 1 Hsiao, George C. 1 Hu, Yuqing 1 Le Louër, Frédérique 1 Meyer, Sascha 1 Mohsen, Adel A. K. 1 Monch, Lars 1 Päivärinta, Lassi 1 Schulz, Jochen 1 Silvestre, Ana Leonor 1 Spassov, W. T. 1 Stenger, Frank 1 Tezel, Necmi Serkan 1 Weck, Norbert 1 Wick, Joachim 1 Yaman, O. Ivanyshyn all top 5 Serials 26 Inverse Problems 15 Mathematical Methods in the Applied Sciences 9 Numerische Mathematik 9 Journal of Integral Equations and Applications 7 Journal of Inverse and Ill-Posed Problems 7 Applied Mathematical Sciences 6 Journal of Computational and Applied Mathematics 5 Journal of Mathematical Analysis and Applications 5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Applicable Analysis 4 Archive for Rational Mechanics and Analysis 4 Quarterly Journal of Mechanics and Applied Mathematics 4 Computing 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 SIAM Journal on Applied Mathematics 4 SIAM Journal on Mathematical Analysis 4 Inverse Problems and Imaging 2 IMA Journal of Applied Mathematics 2 Journal of Computational Physics 2 Journal of Engineering Mathematics 2 Applied Numerical Mathematics 2 Linear Algebra and its Applications 2 The ANZIAM Journal 2 Complex Variables and Elliptic Equations 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics of Fluids 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Archiv der Mathematik 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Zeitschrift für Analysis und ihre Anwendungen 1 Mathematical and Computer Modelling 1 SIAM Review 1 Georgian Mathematical Journal 1 Methods and Applications of Analysis 1 Advances in Computational Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Cubo Matemática Educacional 1 Inverse Problems in Science and Engineering 1 Classics in Applied Mathematics 1 Graduate Texts in Mathematics all top 5 Fields 148 Partial differential equations (35-XX) 94 Numerical analysis (65-XX) 63 Optics, electromagnetic theory (78-XX) 60 Integral equations (45-XX) 33 Fluid mechanics (76-XX) 21 Potential theory (31-XX) 15 Operator theory (47-XX) 10 Approximations and expansions (41-XX) 10 Mechanics of deformable solids (74-XX) 9 Functions of a complex variable (30-XX) 5 History and biography (01-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 General and overarching topics; collections (00-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 176 Publications have been cited 4,864 times in 3,084 Documents Cited by ▼ Year ▼ Inverse acoustic and electromagnetic scattering theory. 2nd ed. Zbl 0893.35138Colton, David; Kress, Rainer 709 1998 Integral equation methods in scattering theory. Zbl 0522.35001Colton, David; Kress, Rainer 586 1983 Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121Colton, David; Kress, Rainer 395 2013 Inverse acoustic and electromagnetic scattering theory. Zbl 0760.35053Colton, David; Kress, Rainer 300 1992 Linear integral equations. Zbl 0671.45001Kress, Rainer 212 1989 Linear integral equations. 2nd ed. Zbl 0920.45001Kress, Rainer 179 1999 Linear integral equations. 3rd ed. Zbl 1328.45001Kress, Rainer 142 2014 Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001Colton, David; Kress, Rainer 100 2019 On the numerical solution of a hypersingular integral equation in scattering theory. Zbl 0839.65119Kress, Rainer 91 1995 Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003Colton, David; Kress, Rainer 85 2013 A Nyström method for boundary integral equations in domains with corners. Zbl 0707.65078Kress, Rainer 82 1990 Transmission problems for the Helmholtz equation. Zbl 0433.35017Kress, Rainer; Roach, G. F. 78 1978 Minimizing the condition number of boundary integral operators in acoustic and electromagnetic scattering. Zbl 0559.73095Kress, Rainer 72 1985 Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139Kress, Rainer; Rundell, William 70 2005 Inverse scattering from an open arc. Zbl 0824.35030Kress, Rainer 57 1995 Uniqueness in inverse obstacle scattering. Zbl 0787.35119Kirsch, Andreas; Kress, Rainer 56 1993 Identification of sound-soft 3D obstacles from phaseless data. Zbl 1220.35194Ivanyshyn, Olha; Kress, Rainer 47 2010 Boundary integral equations in time-harmonic acoustic scattering. Zbl 0731.76077Kress, Rainer 45 1991 Numerical analysis. Zbl 0913.65001Kress, Rainer 43 1998 Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150Cakoni, Fioralba; Kress, Rainer 38 2007 On the numerical solution of an inverse boundary value problem for the heat equation. Zbl 0917.35157Chapko, Roman; Kress, Rainer; Yoon, Jeong-Rock 38 1998 Inverse obstacle scattering with modulus of the far field pattern as data. Zbl 0880.65105Kress, Rainer; Rundell, William 37 1997 On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation. Zbl 0534.35027Kress, Rainer; Spassov, W. T. 35 1983 On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation. Zbl 0791.65089Kress, Rainer; Sloan, Ian H. 34 1993 Inverse scattering for surface impedance from phase-less far field data. Zbl 1218.65123Ivanyshyn, Olha; Kress, Rainer 34 2011 Inverse elastic scattering from a crack. Zbl 0864.35118Kress, Rainer 33 1996 Rothe’s method for the heat equation and boundary integral equations. Zbl 0885.65101Chapko, Roman; Kress, Rainer 32 1997 Inverse scattering for shape and impedance. Zbl 0985.35109Kress, Rainer; Rundell, William 31 2001 On the far-field operator in elastic obstacle scattering. Zbl 1141.35429Alves, Carlos J. S.; Kress, Rainer 30 2002 Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks. Zbl 1139.45003Ivanyshyn, Olha; Kress, Rainer 30 2006 An inverse boundary value problem for the heat equation: The Neumann condition. Zbl 1044.35527Chapko, Roman; Kress, Rainer; Yoon, Jeong-Rock 30 1999 A hybrid method for two-dimensional crack reconstruction. Zbl 1070.35126Kress, Rainer; Serranho, Pedro 24 2005 Using fundamental solutions in inverse scattering. Zbl 1099.35168Colton, David; Kress, Rainer 24 2006 Newton’s method for inverse obstacle scattering meets the method of least squares. Zbl 1052.65055Kress, Rainer 23 2003 Conformal mappings and inverse boundary value problems. Zbl 1071.35123Haddar, Houssem; Kress, Rainer 23 2005 Inverse scattering for a locally perturbed half-plane. Zbl 0999.35101Kress, R.; Tran, T. 22 2000 Inverse Dirichlet problem and conformal mapping. Zbl 1054.65112Kress, R. 21 2004 Integral equation methods for scattering from an impedance crack. Zbl 1041.65094Kress, Rainer; Lee, Kuo-Ming 20 2003 Huygens’ principle and iterative methods in inverse obstacle scattering. Zbl 1205.65304Ivanyshyn, Olha; Kress, Rainer; Serranho, Pedro 20 2010 On the simulation source technique for exterior problems in acoustics. Zbl 0626.35019Kress, Rainer; Mohsen, Adel A. 20 1986 Looking back on inverse scattering theory. Zbl 1402.35090Colton, David; Kress, Rainer 20 2018 On the Fréchet derivative for obstacle scattering with an impedance boundary condition. Zbl 1084.35103Haddar, Houssem; Kress, Rainer 19 2004 Nonlinear integral equations for the inverse electrical impedance problem. Zbl 1115.35147Eckel, Harry; Kress, Rainer 19 2007 Electrostatic imaging via conformal mapping. Zbl 1069.35090Akduman, Ibrahim; Kress, Rainer 18 2002 Two methods for solving the inverse acoustic scattering problem. Zbl 0698.65076Kirsch, Andreas; Kress, Rainer; Monk, P.; Zinn, Axel 18 1988 On the limiting behaviour of solutions to boundary integral equations associated with time harmonic wave equations for small frequencies. Zbl 0418.35031Kress, Rainer 18 1979 Integral equation methods in scattering theory. (Metody integral’nykh uravnenij v teorii rasseyaniya). Transl. from the English. Zbl 0621.35002Colton, David; Kress, Rainer 17 1987 Uniqueness in inverse obstacle scattering with conductive boundary condition. Zbl 0868.35137Gerlach, Thomas; Kress, Rainer 17 1996 Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition. Zbl 1302.65146Cakoni, Fioralba; Kress, Rainer 17 2013 On the numerical solution of initial boundary value problems by the Laguerre transformation and boundary integral equations. Zbl 0965.65121Chapko, Roman; Kress, Rainer 16 2000 On the exterior boundary-value problem for the time-harmonic Maxwell equations. Zbl 0424.35031Knauff, Werner; Kress, Rainer 16 1979 On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034Colton, David; Kress, Rainer 16 2001 A boundary integral equation method for the transmission eigenvalue problem. Zbl 1358.35225Cakoni, Fioralba; Kress, Rainer 16 2017 Inverse scattering from an orthotropic medium. Zbl 0885.35143Colton, David; Kress, Rainer; Monk, Peter 15 1997 A quasi-Newton method in inverse obstacle scattering. Zbl 0823.35172Kress, Rainer; Rundell, William 15 1994 Nonlinear integral equations in inverse obstacle scattering. Zbl 1127.35078Ivanyshyn, O.; Kress, R. 14 2006 A hybrid method for sound-hard obstacle reconstruction. Zbl 1350.35139Kress, Rainer; Serranho, Pedro 14 2007 On general Hermite trigonometric interpolation. Zbl 0231.65009Kress, Rainer 14 1972 Integral equations for shape and impedance reconstruction in corrosion detection. Zbl 1198.35289Cakoni, Fioralba; Kress, Rainer; Schuft, Christian 14 2010 On an integral equation for the two-dimensional exterior Stokes problem. Zbl 0588.76048Hsiao, George C.; Kress, Rainer 13 1985 Fréchet differentiability of the far field operator for scattering from a crack. Zbl 0846.35146Kress, Rainer 13 1995 Optimale approximation linearer Funktionale auf periodischen Funktionen. Zbl 0269.65012Knauff, Werner; Kress, Rainer 13 1974 On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack. Zbl 0995.74080Chapko, Roman; Kress, Rainer; Mönch, Lars 13 2000 A hybrid method for inverse boundary value problems in potential theory. Zbl 1076.31003Chapko, R.; Kress, R. 13 2005 An inverse boundary value problem for the Oseen equation. Zbl 0951.35133Kress, Rainer; Meyer, Sascha 12 2000 Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium. Zbl 0839.35094Colton, David; Kress, Rainer 12 1995 Zur numerischen Integration periodischer Funktionen nach der Rechteckregel. (Numerical integration of periodic functions by the rectangular rule). Zbl 0231.65026Kress, Rainer 12 1972 Potentialtheoretische Randwertprobleme bei Tensorfeldern beliebiger Dimension und beliebigen Ranges. Zbl 0238.31010Kress, Rainer 12 1972 Inverse electromagnetic scattering in a two-layered medium with an application to mine detection. Zbl 1137.78319Delbary, Fabrice; Erhard, Klaus; Kress, Rainer; Potthast, Roland; Schulz, Jochen 11 2008 Integral equation methods in inverse acoustic and electromagnetic scattering. Zbl 0909.65096Kress, Rainer 11 1997 A sinc quadrature method for the double-layer integral equation in planar domains with corners. Zbl 0916.65135Kress, Rainer; Sloan, Ian H.; Stenger, Frank 11 1998 On the general Hermite cardinal interpolation. Zbl 0264.30037Kress, Rainer 11 1972 A collocation method for a hypersingular boundary integral equation via trigonometric differentiation. Zbl 1310.65169Kress, Rainer 11 2014 Reconstruction of a current distribution from its magnetic field. Zbl 1043.35147Kress, Rainer; Kühn, Lars; Potthast, Roland 10 2002 On the far field in obstacle scattering. Zbl 0945.35069Kress, Rainer; Päivärinta, Lassi 10 1999 On mixed boundary value problems for the Helmholtz equation. Zbl 0353.35029Kress, Rainer; Roach, G. F. 10 1977 Simultaneous reconstruction of shape and generalized impedance functions in electrostatic imaging. Zbl 1305.65222Cakoni, Fioralba; Hu, Yuqing; Kress, Rainer 10 2014 Inverse scattering for planar cracks via nonlinear integral equations. Zbl 1153.65367Ivanyshyn, O.; Kress, R. 9 2008 A remark on a boundary value problem for force-free fields. Zbl 0376.35005Kress, Rainer 9 1977 On a quadrature method for a logarithmic integral equation of the first kind. Zbl 0834.65134Chapko, Roman; Kress, Rainer 9 1993 Conformal mapping and impedance tomography. Zbl 1194.35500Haddar, Houssem; Kress, Rainer 9 2010 Simultaneous reconstruction of shape and impedance in corrosion detection. Zbl 1219.35071Cakoni, Fioralba; Kress, Rainer; Schuft, Christian 9 2010 Iterative methods for solving the exterior Dirichlet problem for the Helmholtz equation with applications to the inverse scattering problem for low frequency acoustic waves. Zbl 0444.35023Colton, David; Kress, Rainer 8 1980 Inverse scattering for an impedance cylinder buried in a dielectric cylinder. Zbl 1172.78005Kress, Rainer; Yaman, Fatih; Yapar, Ali; Akduman, Ibrahim 8 2009 On the condition number of integral equations in acoustics using modified fundamental solutions. Zbl 0529.45001Kleinman, R. E.; Kress, Rainer 8 1983 On the numerical solution of the three-dimensional inverse obstacle scattering problem. Zbl 0774.65092Kress, Rainer; Zinn, Axel 8 1992 Iterative and range test methods for an inverse source problem for acoustic waves. Zbl 1170.65087Alves, Carlos; Kress, Rainer; Serranho, Pedro 8 2009 On the low wave number asymptotics for the two-dimensional exterior Dirichlet problem for the reduced wave equation. Zbl 0657.35037Kress, Rainer 8 1987 Inverse problems and conformal mapping. Zbl 1246.30016Kress, Rainer 8 2012 Inverse obstacle scattering using reduced data. Zbl 1050.35021Kress, Rainer; Rundell, William 7 1999 A boundary integral equation method for a Neumann boundary problem for force-free fields. Zbl 0477.73077Kress, Rainer 7 1981 Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134Colton, David; Kress, Rainer 7 1995 Über die numerische Berechnung konjugierter Funktionen. Zbl 0259.65028Kress, Rainer 7 1972 On the boundary operator in electromagnetic scattering. Zbl 0637.35066Kress, Rainer 7 1986 On a two-dimensional inverse scattering problem for a dielectric. Zbl 1247.78016Altundag, Ahmet; Kress, Rainer 7 2012 Interpolation auf einem unendlichen Intervall. Zbl 0217.52201Kress, Rainer 7 1970 Integral equations for an inverse boundary value problem for the two-dimensional Stokes equations. Zbl 1136.35101Alves, C. J. S.; Kress, R.; Silvestre, A. L. 6 2007 A nonlinear integral equation and an iterative algorithm for an inverse source problem. Zbl 1323.31006Kress, Rainer; Rundell, William 6 2015 The treatment of a Neumann boundary value problem for force-free fields by an integral equation method. Zbl 0397.35063Kress, Rainer 6 1978 Conformal mapping and an inverse impedance boundary value problem. Zbl 1111.35112Haddar, H.; Kress, R. 6 2006 The DB boundary condition in electromagnetic scattering revisited. Zbl 1471.35097Kress, Rainer 1 2021 Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001Colton, David; Kress, Rainer 100 2019 Some old and some new results in inverse obstacle scattering. Zbl 1455.35197Kress, Rainer 2 2019 Looking back on inverse scattering theory. Zbl 1402.35090Colton, David; Kress, Rainer 20 2018 Integral equation methods in inverse obstacle scattering with a generalized impedance boundary condition. Zbl 1407.65271Kress, Rainer 5 2018 A boundary integral equation for the transmission eigenvalue problem for Maxwell equation. Zbl 1384.35144Cakoni, F.; Yaman, O. Ivanyshyn; Kress, R.; Le Louër, F. 3 2018 Inverse scattering for shape and impedance revisited. Zbl 1402.35091Kress, Rainer; Rundell, William 3 2018 A boundary integral equation method for the transmission eigenvalue problem. Zbl 1358.35225Cakoni, Fioralba; Kress, Rainer 16 2017 On Trefftz’ integral equation for the Bernoulli free boundary value problem. Zbl 1367.31003Kress, Rainer 5 2017 Nonlinear integral equations for Bernoulli’s free boundary value problem in three dimensions. Zbl 1397.45005Ivanyshyn Yaman, Olha; Kress, Rainer 2 2017 A conformal mapping algorithm for the Bernoulli free boundary value problem. Zbl 1350.31007Haddar, Houssem; Kress, Rainer 3 2016 A nonlinear integral equation and an iterative algorithm for an inverse source problem. Zbl 1323.31006Kress, Rainer; Rundell, William 6 2015 Linear integral equations. 3rd ed. Zbl 1328.45001Kress, Rainer 142 2014 A collocation method for a hypersingular boundary integral equation via trigonometric differentiation. Zbl 1310.65169Kress, Rainer 11 2014 Simultaneous reconstruction of shape and generalized impedance functions in electrostatic imaging. Zbl 1305.65222Cakoni, Fioralba; Hu, Yuqing; Kress, Rainer 10 2014 A conformal mapping method in inverse obstacle scattering. Zbl 1293.30022Haddar, Houssem; Kress, Rainer 3 2014 Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121Colton, David; Kress, Rainer 395 2013 Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003Colton, David; Kress, Rainer 85 2013 Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition. Zbl 1302.65146Cakoni, Fioralba; Kress, Rainer 17 2013 Reconstruction of extended sources for the Helmholtz equation. Zbl 1275.78004Kress, Rainer; Rundell, William 6 2013 Inverse problems and conformal mapping. Zbl 1246.30016Kress, Rainer 8 2012 On a two-dimensional inverse scattering problem for a dielectric. Zbl 1247.78016Altundag, Ahmet; Kress, Rainer 7 2012 An iterative method for a two-dimensional inverse scattering problem for a dielectric. Zbl 1279.35010Altundag, Ahmet; Kress, Rainer 1 2012 Inverse scattering for surface impedance from phase-less far field data. Zbl 1218.65123Ivanyshyn, Olha; Kress, Rainer 34 2011 Inverse scattering. Zbl 1259.35003Colton, David; Kress, Rainer 4 2011 A second degree Newton method for an inverse obstacle scattering problem. Zbl 1433.35460Kress, Rainer; Lee, Kuo-Ming 3 2011 Electrical impedance tomography using a point electrode inverse scheme for complete electrode data. Zbl 1219.35354Delbary, Fabrice; Kress, Rainer 1 2011 Identification of sound-soft 3D obstacles from phaseless data. Zbl 1220.35194Ivanyshyn, Olha; Kress, Rainer 47 2010 Huygens’ principle and iterative methods in inverse obstacle scattering. Zbl 1205.65304Ivanyshyn, Olha; Kress, Rainer; Serranho, Pedro 20 2010 Integral equations for shape and impedance reconstruction in corrosion detection. Zbl 1198.35289Cakoni, Fioralba; Kress, Rainer; Schuft, Christian 14 2010 Conformal mapping and impedance tomography. Zbl 1194.35500Haddar, Houssem; Kress, Rainer 9 2010 Simultaneous reconstruction of shape and impedance in corrosion detection. Zbl 1219.35071Cakoni, Fioralba; Kress, Rainer; Schuft, Christian 9 2010 Corrections to “Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks”. Zbl 1253.45005Ivanyshyn, O.; Kress, R. 2 2010 Electrical impedance tomography with point electrodes. Zbl 1204.78016Delbary, Fabrice; Kress, Rainer 1 2010 Inverse scattering for an impedance cylinder buried in a dielectric cylinder. Zbl 1172.78005Kress, Rainer; Yaman, Fatih; Yapar, Ali; Akduman, Ibrahim 8 2009 Iterative and range test methods for an inverse source problem for acoustic waves. Zbl 1170.65087Alves, Carlos; Kress, Rainer; Serranho, Pedro 8 2009 Thirty years and still counting. Zbl 1190.35005Colton, David; Kress, Rainer 3 2009 A second order Newton method for sound soft inverse obstacle scattering. Zbl 1166.35318Kress, R.; Tezel, N.; Yaman, F. 2 2009 Inverse electromagnetic scattering in a two-layered medium with an application to mine detection. Zbl 1137.78319Delbary, Fabrice; Erhard, Klaus; Kress, Rainer; Potthast, Roland; Schulz, Jochen 11 2008 Inverse scattering for planar cracks via nonlinear integral equations. Zbl 1153.65367Ivanyshyn, O.; Kress, R. 9 2008 Non-linear integral equations for the complete electrode model in inverse impedance tomography. Zbl 1151.45301Eckel, Harry; Kress, Rainer 4 2008 Iterative methods for planar crack reconstruction in semi-infinite domains. Zbl 1152.35339Kress, R.; Vintonyak, N. 1 2008 Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150Cakoni, Fioralba; Kress, Rainer 38 2007 Nonlinear integral equations for the inverse electrical impedance problem. Zbl 1115.35147Eckel, Harry; Kress, Rainer 19 2007 A hybrid method for sound-hard obstacle reconstruction. Zbl 1350.35139Kress, Rainer; Serranho, Pedro 14 2007 Integral equations for an inverse boundary value problem for the two-dimensional Stokes equations. Zbl 1136.35101Alves, C. J. S.; Kress, R.; Silvestre, A. L. 6 2007 Preface to: Integral equations and inverse boundary value problems. Zbl 1138.45300Kress, Rainer 1 2007 Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks. Zbl 1139.45003Ivanyshyn, Olha; Kress, Rainer 30 2006 Using fundamental solutions in inverse scattering. Zbl 1099.35168Colton, David; Kress, Rainer 24 2006 Nonlinear integral equations in inverse obstacle scattering. Zbl 1127.35078Ivanyshyn, O.; Kress, R. 14 2006 Conformal mapping and an inverse impedance boundary value problem. Zbl 1111.35112Haddar, H.; Kress, R. 6 2006 Iterative reconstruction of dielectric rough surface profiles at fixed frequency. Zbl 1099.78006Akduman, Ibrahim; Kress, Rainer; Yapar, Ali 6 2006 Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139Kress, Rainer; Rundell, William 70 2005 A hybrid method for two-dimensional crack reconstruction. Zbl 1070.35126Kress, Rainer; Serranho, Pedro 24 2005 Conformal mappings and inverse boundary value problems. Zbl 1071.35123Haddar, Houssem; Kress, Rainer 23 2005 A hybrid method for inverse boundary value problems in potential theory. Zbl 1076.31003Chapko, R.; Kress, R. 13 2005 Inverse Dirichlet problem and conformal mapping. Zbl 1054.65112Kress, R. 21 2004 On the Fréchet derivative for obstacle scattering with an impedance boundary condition. Zbl 1084.35103Haddar, Houssem; Kress, Rainer 19 2004 Newton’s method for inverse obstacle scattering meets the method of least squares. Zbl 1052.65055Kress, Rainer 23 2003 Integral equation methods for scattering from an impedance crack. Zbl 1041.65094Kress, Rainer; Lee, Kuo-Ming 20 2003 A factorization method for an inverse Neumann problem for harmonic vector fields. Zbl 1048.31005Kress, R. 3 2003 On the far-field operator in elastic obstacle scattering. Zbl 1141.35429Alves, Carlos J. S.; Kress, Rainer 30 2002 Electrostatic imaging via conformal mapping. Zbl 1069.35090Akduman, Ibrahim; Kress, Rainer 18 2002 Reconstruction of a current distribution from its magnetic field. Zbl 1043.35147Kress, Rainer; Kühn, Lars; Potthast, Roland 10 2002 Linear sampling methods for inverse boundary value problems in potential theory. Zbl 1020.65080Kress, R.; Kühn, L. 5 2002 A sampling method for an inverse boundary value problem for harmonic vector fields. Zbl 1059.35170Kress, R. 2 2002 Inverse scattering for shape and impedance. Zbl 0985.35109Kress, Rainer; Rundell, William 31 2001 On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034Colton, David; Kress, Rainer 16 2001 Inverse boundary value problems in potential theory. Zbl 1074.31002Kress, Rainer 2 2001 Inverse scattering for a locally perturbed half-plane. Zbl 0999.35101Kress, R.; Tran, T. 22 2000 On the numerical solution of initial boundary value problems by the Laguerre transformation and boundary integral equations. Zbl 0965.65121Chapko, Roman; Kress, Rainer 16 2000 On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack. Zbl 0995.74080Chapko, Roman; Kress, Rainer; Mönch, Lars 13 2000 An inverse boundary value problem for the Oseen equation. Zbl 0951.35133Kress, Rainer; Meyer, Sascha 12 2000 Uniqueness for a linearized, inverse obstacle problem using backscattering data. Zbl 0958.35093Hähner, Peter; Kress, Rainer 2 2000 Integral equation methods in inverse obstacle scattering. Zbl 0966.65080Kress, Rainer 1 2000 Linear integral equations. 2nd ed. Zbl 0920.45001Kress, Rainer 179 1999 An inverse boundary value problem for the heat equation: The Neumann condition. Zbl 1044.35527Chapko, Roman; Kress, Rainer; Yoon, Jeong-Rock 30 1999 On the far field in obstacle scattering. Zbl 0945.35069Kress, Rainer; Päivärinta, Lassi 10 1999 Inverse obstacle scattering using reduced data. Zbl 1050.35021Kress, Rainer; Rundell, William 7 1999 On the low wave number behavior of two-dimensional scattering problems for an open arc. Zbl 0942.35053Kress, Rainer 1 1999 Inverse acoustic and electromagnetic scattering theory. 2nd ed. Zbl 0893.35138Colton, David; Kress, Rainer 709 1998 Numerical analysis. Zbl 0913.65001Kress, Rainer 43 1998 On the numerical solution of an inverse boundary value problem for the heat equation. Zbl 0917.35157Chapko, Roman; Kress, Rainer; Yoon, Jeong-Rock 38 1998 A sinc quadrature method for the double-layer integral equation in planar domains with corners. Zbl 0916.65135Kress, Rainer; Sloan, Ian H.; Stenger, Frank 11 1998 Inverse obstacle scattering with modulus of the far field pattern as data. Zbl 0880.65105Kress, Rainer; Rundell, William 37 1997 Rothe’s method for the heat equation and boundary integral equations. Zbl 0885.65101Chapko, Roman; Kress, Rainer 32 1997 Inverse scattering from an orthotropic medium. Zbl 0885.35143Colton, David; Kress, Rainer; Monk, Peter 15 1997 Integral equation methods in inverse acoustic and electromagnetic scattering. Zbl 0909.65096Kress, Rainer 11 1997 A new algorithm in electromagnetic inverse scattering theory with an application to medical imaging. Zbl 0896.35100Colton, David; Monk, Peter; Kress, Rainer 3 1997 Inverse obstacle scattering for time-harmonic waves. Zbl 0885.35085Kress, Rainer 1 1997 Inverse elastic scattering from a crack. Zbl 0864.35118Kress, Rainer 33 1996 Uniqueness in inverse obstacle scattering with conductive boundary condition. Zbl 0868.35137Gerlach, Thomas; Kress, Rainer 17 1996 On the numerical solution of a hypersingular integral equation in scattering theory. Zbl 0839.65119Kress, Rainer 91 1995 Inverse scattering from an open arc. Zbl 0824.35030Kress, Rainer 57 1995 Fréchet differentiability of the far field operator for scattering from a crack. Zbl 0846.35146Kress, Rainer 13 1995 Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium. Zbl 0839.35094Colton, David; Kress, Rainer 12 1995 Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134Colton, David; Kress, Rainer 7 1995 On the spectrum of the magnetostatic integral operator. Zbl 0817.45001Kress, Rainer 4 1995 A quasi-Newton method in inverse obstacle scattering. Zbl 0823.35172Kress, Rainer; Rundell, William 15 1994 Nearly 100 years of the Fredholm alternative. (Fast 100 Jahre Fredholmsche Alternative.) Zbl 0806.45001Kreß, Rainer 2 1994 ...and 76 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,128 Authors 75 Kress, Rainer 63 Liu, Hongyu 39 Yan, Guozheng 38 Hu, Guanghui 34 Li, Peijun 32 Colton, David Lem 32 Haddar, Houssem 31 Cakoni, Fioralba 30 Sini, Mourad 29 Zhang, Bo 28 Chapko, Roman 27 Ammari, Habib M. 27 Monk, Peter B. 27 Nicholls, David P. 27 Park, Won-Kwang 25 Potthast, Roland W. E. 24 Bao, Gang 24 Chandler-Wilde, Simon N. 24 Guo, Yukun 23 Greengard, Leslie F. 23 Liu, Jijun 23 Sayas, Francisco-Javier 22 Li, Jingzhi 22 Liu, Xiaodong 22 Ma, Fuming 21 Hiptmair, Ralf 21 Klibanov, Michael V. 21 Sun, Jiguang 20 Athanasiadis, Christodoulos E. 20 Barnett, Alex H. 20 Bruno, Oscar P. 20 Eremin, Yuri A. 19 Ganesh, Mahadevan 18 Lesnic, Daniel 18 Nasser, Mohamed M. S. 17 Johansson, B. Tomas 17 Kleefeld, Andreas 17 Rapún, María-Luisa 16 Griesmaier, Roland 16 Le Louër, Frédérique 16 Nakamura, Gen 16 Wang, Haibing 16 Zhang, Deyue 16 Zou, Jun 15 Guo, Jun 15 Kirsch, Andreas 15 Setukha, Alexey V. 14 Smirnov, Yury G. 13 Arens, Tilo 13 Deng, Youjun 13 Domínguez, Víctor 13 Harbrecht, Helmut 13 Hawkins, Stuart Collin 13 Ji, Xia 13 Karageorghis, Andreas 13 Krutitskii, Pavel A. 13 Lee, Kuo-Ming 13 Nguyen, Dinh Liem 13 Pelekanos, George 13 Turc, Catalin 13 Yang, Yidu 13 Zhang, Haiwen 12 Antoine, Xavier 12 Darbas, Marion 12 Diao, Huaian 12 Gatica, Gabriel N. 12 Helsing, Johan 12 Ivanyshyn, Olha 12 Jiang, Shidong 12 Lassas, Matti J. 12 Meddahi, Salim 12 Nguyen, Hoai-Minh 12 Nguyen, Loc Hoang 12 Spence, Euan A. 12 Wang, Xianchao 12 Yang, Jiaqing 11 Djellouli, Rabia 11 Hohage, Thorsten 11 Lechleiter, Armin 11 Maponi, Pierluigi 11 Marin, Liviu 11 Mitrea, Marius 11 Onofrei, Daniel 11 Stratis, Ioannis G. 11 Xu, Yuesheng 11 Yamamoto, Masahiro 11 Yan, Wenjing 10 Barucq, Hélène 10 Bi, Hai 10 Boubendir, Yassine 10 Claeys, Xavier 10 Desmet, Wim 10 Elschner, Johannes 10 Li, Jianliang 10 Lu, Wangtao 10 Natroshvili, David 10 O’Neil, Michael 10 Päivärinta, Lassi 10 Qu, Fenglong 10 Sevroglou, Vassilios ...and 3,028 more Authors all top 5 Cited in 358 Serials 194 Journal of Computational Physics 118 Journal of Computational and Applied Mathematics 104 Mathematical Methods in the Applied Sciences 100 Inverse Problems 85 Journal of Mathematical Analysis and Applications 85 Journal of Integral Equations and Applications 78 Applicable Analysis 72 Engineering Analysis with Boundary Elements 67 Inverse Problems in Science and Engineering 65 Computers & Mathematics with Applications 65 SIAM Journal on Applied Mathematics 65 Inverse Problems and Imaging 56 Numerische Mathematik 54 Applied Numerical Mathematics 51 Computer Methods in Applied Mechanics and Engineering 48 Applied Mathematics and Computation 47 SIAM Journal on Scientific Computing 47 Advances in Computational Mathematics 43 Wave Motion 41 Journal of Inverse and Ill-Posed Problems 40 Journal of Scientific Computing 36 Mathematics of Computation 33 Differential Equations 33 SIAM Journal on Imaging Sciences 31 Integral Equations and Operator Theory 31 SIAM Journal on Mathematical Analysis 29 Numerical Algorithms 28 BIT 24 Mathematics and Computers in Simulation 23 International Journal of Computer Mathematics 23 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 22 Computing 22 SIAM Journal on Numerical Analysis 22 Computational Mathematics and Mathematical Physics 21 Journal of Differential Equations 20 Journal of Mathematical Physics 18 Journal of Engineering Mathematics 17 Multiscale Modeling & Simulation 17 Communications in Computational Physics 15 Quarterly of Applied Mathematics 15 Applied Mathematics Letters 15 Journal de Mathématiques Pures et Appliquées. 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(English Edition) 9 Journal of Elasticity 9 Linear Algebra and its Applications 9 Mathematics and Mechanics of Solids 9 Journal of Applied Mathematics and Computing 9 Electronic Research Archive 8 Journal of Fluid Mechanics 8 Transactions of the American Mathematical Society 8 Mathematical and Computer Modelling 8 Abstract and Applied Analysis 8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 8 Boundary Value Problems 8 Advances in Mathematical Physics 8 East Asian Journal on Applied Mathematics 7 International Journal of Engineering Science 7 The Annals of Statistics 7 Calcolo 7 Proceedings of the American Mathematical Society 7 RAIRO. Modélisation Mathématique et Analyse Numérique 7 Acta Mathematicae Applicatae Sinica. English Series 7 Computational Mechanics 7 Applied and Computational Harmonic Analysis 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Archives of Computational Methods in Engineering 7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 7 SN Partial Differential Equations and Applications 6 Computer Physics Communications 6 Ukrainian Mathematical Journal 6 Mathematische Nachrichten 6 European Journal of Applied Mathematics 6 Japan Journal of Industrial and Applied Mathematics 6 Journal of Mathematical Sciences (New York) 6 Computational and Applied Mathematics 6 Advances in Applied Clifford Algebras 6 The ANZIAM Journal 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Advances in Applied Mathematics and Mechanics 5 Acta Mechanica 5 Journal of Mathematical Biology ...and 258 more Serials all top 5 Cited in 49 Fields 1,793 Partial differential equations (35-XX) 1,551 Numerical analysis (65-XX) 904 Optics, electromagnetic theory (78-XX) 489 Integral equations (45-XX) 461 Fluid mechanics (76-XX) 337 Mechanics of deformable solids (74-XX) 147 Potential theory (31-XX) 137 Operator theory (47-XX) 103 Approximations and expansions (41-XX) 96 Calculus of variations and optimal control; optimization (49-XX) 96 Biology and other natural sciences (92-XX) 76 Statistics (62-XX) 62 Functions of a complex variable (30-XX) 55 Harmonic analysis on Euclidean spaces (42-XX) 53 Information and communication theory, circuits (94-XX) 49 Ordinary differential equations (34-XX) 49 Quantum theory (81-XX) 38 Geophysics (86-XX) 34 Functional analysis (46-XX) 33 Special functions (33-XX) 32 Integral transforms, operational calculus (44-XX) 31 Probability theory and stochastic processes (60-XX) 30 Global analysis, analysis on manifolds (58-XX) 30 Classical thermodynamics, heat transfer (80-XX) 30 Statistical mechanics, structure of matter (82-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 29 Computer science (68-XX) 21 Systems theory; control (93-XX) 14 Real functions (26-XX) 13 Operations research, mathematical programming (90-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Dynamical systems and ergodic theory (37-XX) 7 Measure and integration (28-XX) 5 Number theory (11-XX) 5 Differential geometry (53-XX) 5 Astronomy and astrophysics (85-XX) 4 History and biography (01-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Geometry (51-XX) 3 Relativity and gravitational theory (83-XX) 2 Group theory and generalizations (20-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Abstract harmonic analysis (43-XX) 1 Mathematics education (97-XX) Citations by Year