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## Kress, Rainer

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 Author ID: kress.rainer Published as: Kress, R.; Kress, Rainer; Kreß, Rainer Homepage: http://num.math.uni-goettingen.de/kress/ External Links: MGP · dblp · GND
 Documents Indexed: 206 Publications since 1968, including 19 Books Reviewing Activity: 1 Review Biographic References: 2 Publications
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#### Co-Authors

 82 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 F. 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 Tran, Tin T. 1 Vintonyak, Nadiya 1 Weck, Norbert 1 Wick, Joachim 1 Yaman, O. Ivanyshyn
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#### 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 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Applicable Analysis 4 Archive for Rational Mechanics and Analysis 4 Journal of Mathematical Analysis and Applications 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 Inverse Problems and Imaging 3 SIAM Journal on Mathematical Analysis 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
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#### Fields

 146 Partial differential equations (35-XX) 94 Numerical analysis (65-XX) 62 Optics, electromagnetic theory (78-XX) 59 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)

#### Citations contained in zbMATH Open

174 Publications have been cited 4,473 times in 2,844 Documents Cited by Year
Inverse acoustic and electromagnetic scattering theory. 2nd ed. Zbl 0893.35138
Colton, David; Kress, Rainer
1998
Integral equation methods in scattering theory. Zbl 0522.35001
Colton, David; Kress, Rainer
1983
Linear integral equations. Zbl 0671.45001
Kress, Rainer
1989
Inverse acoustic and electromagnetic scattering theory. Zbl 0760.35053
Colton, David; Kress, Rainer
1992
Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121
Colton, David; Kress, Rainer
2013
Linear integral equations. 2nd ed. Zbl 0920.45001
Kress, Rainer
1999
Linear integral equations. 3rd ed. Zbl 1328.45001
Kress, Rainer
2014
On the numerical solution of a hypersingular integral equation in scattering theory. Zbl 0839.65119
Kress, Rainer
1995
A Nyström method for boundary integral equations in domains with corners. Zbl 0707.65078
Kress, Rainer
1990
Minimizing the condition number of boundary integral operators in acoustic and electromagnetic scattering. Zbl 0559.73095
Kress, Rainer
1985
Transmission problems for the Helmholtz equation. Zbl 0433.35017
Kress, Rainer; Roach, G. F.
1978
Numerical analysis. Zbl 0913.65001
Kress, Rainer
1998
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139
Kress, Rainer; Rundell, William
2005
Uniqueness in inverse obstacle scattering. Zbl 0787.35119
Kirsch, Andreas; Kress, Rainer
1993
Inverse scattering from an open arc. Zbl 0824.35030
Kress, Rainer
1995
Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003
Colton, David; Kress, Rainer
2013
Identification of sound-soft 3D obstacles from phaseless data. Zbl 1220.35194
Ivanyshyn, Olha; Kress, Rainer
2010
On the numerical solution of an inverse boundary value problem for the heat equation. Zbl 0917.35157
Chapko, Roman; Kress, Rainer; Yoon, Jeong-Rock
1998
On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation. Zbl 0534.35027
Kress, Rainer; Spassov, W. T.
1983
On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation. Zbl 0791.65089
Kress, Rainer; Sloan, Ian H.
1993
Boundary integral equations in time-harmonic acoustic scattering. Zbl 0731.76077
Kress, Rainer
1991
Inverse obstacle scattering with modulus of the far field pattern as data. Zbl 0880.65105
Kress, Rainer; Rundell, William
1997
Inverse scattering for surface impedance from phase-less far field data. Zbl 1218.65123
Ivanyshyn, Olha; Kress, Rainer
2011
Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150
Cakoni, Fioralba; Kress, Rainer
2007
Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks. Zbl 1139.45003
Ivanyshyn, Olha; Kress, Rainer
2006
Inverse scattering for shape and impedance. Zbl 0985.35109
Kress, Rainer; Rundell, William
2001
An inverse boundary value problem for the heat equation: The Neumann condition. Zbl 1044.35527
Chapko, Roman; Kress, Rainer; Yoon, Jeong-Rock
1999
Rothe’s method for the heat equation and boundary integral equations. Zbl 0885.65101
Chapko, Roman; Kress, Rainer
1997
Inverse elastic scattering from a crack. Zbl 0864.35118
Kress, Rainer
1996
Conformal mappings and inverse boundary value problems. Zbl 1071.35123
2005
On the far-field operator in elastic obstacle scattering. Zbl 1141.35429
Alves, Carlos J. S.; Kress, Rainer
2002
Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001
Colton, David; Kress, Rainer
2019
A hybrid method for two-dimensional crack reconstruction. Zbl 1070.35126
Kress, Rainer; Serranho, Pedro
2005
Using fundamental solutions in inverse scattering. Zbl 1099.35168
Colton, David; Kress, Rainer
2006
Newton’s method for inverse obstacle scattering meets the method of least squares. Zbl 1052.65055
Kress, Rainer
2003
On the simulation source technique for exterior problems in acoustics. Zbl 0626.35019
1986
Huygens’ principle and iterative methods in inverse obstacle scattering. Zbl 1205.65304
Ivanyshyn, Olha; Kress, Rainer; Serranho, Pedro
2010
Inverse Dirichlet problem and conformal mapping. Zbl 1054.65112
Kress, R.
2004
Electrostatic imaging via conformal mapping. Zbl 1069.35090
Akduman, Ibrahim; Kress, Rainer
2002
Integral equation methods in scattering theory. (Metody integral’nykh uravnenij v teorii rasseyaniya). Transl. from the English. Zbl 0621.35002
Colton, David; Kress, Rainer
1987
On the limiting behaviour of solutions to boundary integral equations associated with time harmonic wave equations for small frequencies. Zbl 0418.35031
Kress, Rainer
1979
Inverse scattering for a locally perturbed half-plane. Zbl 0999.35101
Kress, R.; Tran, T.
2000
Two methods for solving the inverse acoustic scattering problem. Zbl 0698.65076
Kirsch, Andreas; Kress, Rainer; Monk, P.; Zinn, Axel
1988
Nonlinear integral equations for the inverse electrical impedance problem. Zbl 1115.35147
Eckel, Harry; Kress, Rainer
2007
On the Fréchet derivative for obstacle scattering with an impedance boundary condition. Zbl 1084.35103
2004
Integral equation methods for scattering from an impedance crack. Zbl 1041.65094
Kress, Rainer; Lee, Kuo-Ming
2003
On the exterior boundary-value problem for the time-harmonic Maxwell equations. Zbl 0424.35031
Knauff, Werner; Kress, Rainer
1979
On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034
Colton, David; Kress, Rainer
2001
Uniqueness in inverse obstacle scattering with conductive boundary condition. Zbl 0868.35137
Gerlach, Thomas; Kress, Rainer
1996
Nonlinear integral equations in inverse obstacle scattering. Zbl 1127.35078
Ivanyshyn, O.; Kress, R.
2006
On the numerical solution of initial boundary value problems by the Laguerre transformation and boundary integral equations. Zbl 0965.65121
Chapko, Roman; Kress, Rainer
2000
A quasi-Newton method in inverse obstacle scattering. Zbl 0823.35172
Kress, Rainer; Rundell, William
1994
On general Hermite trigonometric interpolation. Zbl 0231.65009
Kress, Rainer
1972
Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition. Zbl 1302.65146
Cakoni, Fioralba; Kress, Rainer
2013
A hybrid method for sound-hard obstacle reconstruction. Zbl 1350.35139
Kress, Rainer; Serranho, Pedro
2007
A hybrid method for inverse boundary value problems in potential theory. Zbl 1076.31003
Chapko, R.; Kress, R.
2005
Fréchet differentiability of the far field operator for scattering from a crack. Zbl 0846.35146
Kress, Rainer
1995
Optimale approximation linearer Funktionale auf periodischen Funktionen. Zbl 0269.65012
Knauff, Werner; Kress, Rainer
1974
Zur numerischen Integration periodischer Funktionen nach der Rechteckregel. (Numerical integration of periodic functions by the rectangular rule). Zbl 0231.65026
Kress, Rainer
1972
On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack. Zbl 0995.74080
Chapko, Roman; Kress, Rainer; Mönch, Lars
2000
Integral equation methods in inverse acoustic and electromagnetic scattering. Zbl 0909.65096
Kress, Rainer
1997
Potentialtheoretische Randwertprobleme bei Tensorfeldern beliebiger Dimension und beliebigen Ranges. Zbl 0238.31010
Kress, Rainer
1972
Inverse scattering from an orthotropic medium. Zbl 0885.35143
Colton, David; Kress, Rainer; Monk, Peter
1997
On an integral equation of the first kind in inverse acoustic scattering. Zbl 0607.65089
Kirsch, Andreas; Kress, Rainer
1986
On an integral equation for the two-dimensional exterior Stokes problem. Zbl 0588.76048
Hsiao, George C.; Kress, Rainer
1985
On non-normal matrices. Zbl 0212.05301
Kress, Rainer; de Vries, Hans-Ludwig; Wegmann, Rudolf
1974
On the general Hermite cardinal interpolation. Zbl 0264.30037
Kress, Rainer
1972
Integral equations for shape and impedance reconstruction in corrosion detection. Zbl 1198.35289
Cakoni, Fioralba; Kress, Rainer; Schuft, Christian
2010
Conformal mapping and impedance tomography. Zbl 1194.35500
2010
Inverse electromagnetic scattering in a two-layered medium with an application to mine detection. Zbl 1137.78319
Delbary, Fabrice; Erhard, Klaus; Kress, Rainer; Potthast, Roland; Schulz, Jochen
2008
Reconstruction of a current distribution from its magnetic field. Zbl 1043.35147
Kress, Rainer; Kühn, Lars; Potthast, Roland
2002
On the far field in obstacle scattering. Zbl 0945.35069
Kress, Rainer; Päivärinta, Lassi
1999
A sinc quadrature method for the double-layer integral equation in planar domains with corners. Zbl 0916.65135
Kress, Rainer; Sloan, Ian H.; Stenger, Frank
1998
Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium. Zbl 0839.35094
Colton, David; Kress, Rainer
1995
On a quadrature method for a logarithmic integral equation of the first kind. Zbl 0834.65134
Chapko, Roman; Kress, Rainer
1993
Looking back on inverse scattering theory. Zbl 1402.35090
Colton, David; Kress, Rainer
2018
A collocation method for a hypersingular boundary integral equation via trigonometric differentiation. Zbl 1310.65169
Kress, Rainer
2014
Inverse problems and conformal mapping. Zbl 1246.30016
Kress, Rainer
2012
Inverse scattering for an impedance cylinder buried in a dielectric cylinder. Zbl 1172.78005
Kress, Rainer; Yaman, Fatih; Yapar, Ali; Akduman, Ibrahim
2009
Iterative and range test methods for an inverse source problem for acoustic waves. Zbl 1170.65087
Alves, Carlos; Kress, Rainer; Serranho, Pedro
2009
An inverse boundary value problem for the Oseen equation. Zbl 0951.35133
Kress, Rainer; Meyer, Sascha
2000
On the numerical solution of the three-dimensional inverse obstacle scattering problem. Zbl 0774.65092
Kress, Rainer; Zinn, Axel
1992
On the condition number of integral equations in acoustics using modified fundamental solutions. Zbl 0529.45001
Kleinman, R. E.; Kress, Rainer
1983
A remark on a boundary value problem for force-free fields. Zbl 0376.35005
Kress, Rainer
1977
On mixed boundary value problems for the Helmholtz equation. Zbl 0353.35029
Kress, Rainer; Roach, G. F.
1977
Inverse scattering for planar cracks via nonlinear integral equations. Zbl 1153.65367
Ivanyshyn, O.; Kress, R.
2008
Inverse obstacle scattering using reduced data. Zbl 1050.35021
Kress, Rainer; Rundell, William
1999
On the low wave number asymptotics for the two-dimensional exterior Dirichlet problem for the reduced wave equation. Zbl 0657.35037
Kress, Rainer
1987
On the boundary operator in electromagnetic scattering. Zbl 0637.35066
Kress, Rainer
1986
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 0444.35023
Colton, David; Kress, Rainer
1980
Interpolation auf einem unendlichen Intervall. Zbl 0217.52201
Kress, Rainer
1970
A boundary integral equation method for the transmission eigenvalue problem. Zbl 1358.35225
Cakoni, Fioralba; Kress, Rainer
2017
Conformal mapping and an inverse impedance boundary value problem. Zbl 1111.35112
2006
A numerical method for an inverse scattering problem. Zbl 0629.65132
Kirsch, Andreas; Kress, Rainer
1987
On constant-alpha force-free fields in a torus. Zbl 0637.76121
Kress, Rainer
1986
A boundary integral equation method for a Neumann boundary problem for force-free fields. Zbl 0477.73077
Kress, Rainer
1981
On the existence of a solution to a singular integral equation in electromagnetic reflection. Zbl 0448.45002
Kress, Rainer
1980
On non-normal matrices. Zbl 0273.15018
Kress, Rainer; de Vries, Hans-Ludwig; Wegmann, Rudolf
1974
Über die numerische Berechnung konjugierter Funktionen. Zbl 0259.65028
Kress, Rainer
1972
Ein Neumannsches Randwertproblem bei kraftfreien Feldern. Zbl 0256.31007
Kress, Rainer
1972
Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001
Colton, David; Kress, Rainer
2019
Looking back on inverse scattering theory. Zbl 1402.35090
Colton, David; Kress, Rainer
2018
Integral equation methods in inverse obstacle scattering with a generalized impedance boundary condition. Zbl 1407.65271
Kress, Rainer
2018
Inverse scattering for shape and impedance revisited. Zbl 1402.35091
Kress, Rainer; Rundell, William
2018
A boundary integral equation for the transmission eigenvalue problem for Maxwell equation. Zbl 1384.35144
Cakoni, F.; Yaman, O. Ivanyshyn; Kress, R.; Le Louër, F.
2018
A boundary integral equation method for the transmission eigenvalue problem. Zbl 1358.35225
Cakoni, Fioralba; Kress, Rainer
2017
On Trefftz’ integral equation for the Bernoulli free boundary value problem. Zbl 1367.31003
Kress, Rainer
2017
Nonlinear integral equations for Bernoulli’s free boundary value problem in three dimensions. Zbl 1397.45005
Ivanyshyn Yaman, Olha; Kress, Rainer
2017
A conformal mapping algorithm for the Bernoulli free boundary value problem. Zbl 1350.31007
2016
A nonlinear integral equation and an iterative algorithm for an inverse source problem. Zbl 1323.31006
Kress, Rainer; Rundell, William
2015
Linear integral equations. 3rd ed. Zbl 1328.45001
Kress, Rainer
2014
A collocation method for a hypersingular boundary integral equation via trigonometric differentiation. Zbl 1310.65169
Kress, Rainer
2014
Simultaneous reconstruction of shape and generalized impedance functions in electrostatic imaging. Zbl 1305.65222
Cakoni, Fioralba; Hu, Yuqing; Kress, Rainer
2014
A conformal mapping method in inverse obstacle scattering. Zbl 1293.30022
2014
Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121
Colton, David; Kress, Rainer
2013
Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003
Colton, David; Kress, Rainer
2013
Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition. Zbl 1302.65146
Cakoni, Fioralba; Kress, Rainer
2013
Reconstruction of extended sources for the Helmholtz equation. Zbl 1275.78004
Kress, Rainer; Rundell, William
2013
Inverse problems and conformal mapping. Zbl 1246.30016
Kress, Rainer
2012
On a two-dimensional inverse scattering problem for a dielectric. Zbl 1247.78016
Altundag, Ahmet; Kress, Rainer
2012
An iterative method for a two-dimensional inverse scattering problem for a dielectric. Zbl 1279.35010
Altundag, Ahmet; Kress, Rainer
2012
Inverse scattering for surface impedance from phase-less far field data. Zbl 1218.65123
Ivanyshyn, Olha; Kress, Rainer
2011
Inverse scattering. Zbl 1259.35003
Colton, David; Kress, Rainer
2011
A second degree Newton method for an inverse obstacle scattering problem. Zbl 1433.35460
Kress, Rainer; Lee, Kuo-Ming
2011
Electrical impedance tomography using a point electrode inverse scheme for complete electrode data. Zbl 1219.35354
Delbary, Fabrice; Kress, Rainer
2011
Identification of sound-soft 3D obstacles from phaseless data. Zbl 1220.35194
Ivanyshyn, Olha; Kress, Rainer
2010
Huygens’ principle and iterative methods in inverse obstacle scattering. Zbl 1205.65304
Ivanyshyn, Olha; Kress, Rainer; Serranho, Pedro
2010
Integral equations for shape and impedance reconstruction in corrosion detection. Zbl 1198.35289
Cakoni, Fioralba; Kress, Rainer; Schuft, Christian
2010
Conformal mapping and impedance tomography. Zbl 1194.35500
2010
Simultaneous reconstruction of shape and impedance in corrosion detection. Zbl 1219.35071
Cakoni, Fioralba; Kress, Rainer; Schuft, Christian
2010
Corrections to “Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks”. Zbl 1253.45005
Ivanyshyn, O.; Kress, R.
2010
Electrical impedance tomography with point electrodes. Zbl 1204.78016
Delbary, Fabrice; Kress, Rainer
2010
Inverse scattering for an impedance cylinder buried in a dielectric cylinder. Zbl 1172.78005
Kress, Rainer; Yaman, Fatih; Yapar, Ali; Akduman, Ibrahim
2009
Iterative and range test methods for an inverse source problem for acoustic waves. Zbl 1170.65087
Alves, Carlos; Kress, Rainer; Serranho, Pedro
2009
Thirty years and still counting. Zbl 1190.35005
Colton, David; Kress, Rainer
2009
A second order Newton method for sound soft inverse obstacle scattering. Zbl 1166.35318
Kress, R.; Tezel, N.; Yaman, F.
2009
Inverse electromagnetic scattering in a two-layered medium with an application to mine detection. Zbl 1137.78319
Delbary, Fabrice; Erhard, Klaus; Kress, Rainer; Potthast, Roland; Schulz, Jochen
2008
Inverse scattering for planar cracks via nonlinear integral equations. Zbl 1153.65367
Ivanyshyn, O.; Kress, R.
2008
Non-linear integral equations for the complete electrode model in inverse impedance tomography. Zbl 1151.45301
Eckel, Harry; Kress, Rainer
2008
Iterative methods for planar crack reconstruction in semi-infinite domains. Zbl 1152.35339
Kress, R.; Vintonyak, N.
2008
Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150
Cakoni, Fioralba; Kress, Rainer
2007
Nonlinear integral equations for the inverse electrical impedance problem. Zbl 1115.35147
Eckel, Harry; Kress, Rainer
2007
A hybrid method for sound-hard obstacle reconstruction. Zbl 1350.35139
Kress, Rainer; Serranho, Pedro
2007
Integral equations for an inverse boundary value problem for the two-dimensional Stokes equations. Zbl 1136.35101
Alves, C. J. S.; Kress, R.; Silvestre, A. L.
2007
Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks. Zbl 1139.45003
Ivanyshyn, Olha; Kress, Rainer
2006
Using fundamental solutions in inverse scattering. Zbl 1099.35168
Colton, David; Kress, Rainer
2006
Nonlinear integral equations in inverse obstacle scattering. Zbl 1127.35078
Ivanyshyn, O.; Kress, R.
2006
Conformal mapping and an inverse impedance boundary value problem. Zbl 1111.35112
2006
Iterative reconstruction of dielectric rough surface profiles at fixed frequency. Zbl 1099.78006
Akduman, Ibrahim; Kress, Rainer; Yapar, Ali
2006
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139
Kress, Rainer; Rundell, William
2005
Conformal mappings and inverse boundary value problems. Zbl 1071.35123
2005
A hybrid method for two-dimensional crack reconstruction. Zbl 1070.35126
Kress, Rainer; Serranho, Pedro
2005
A hybrid method for inverse boundary value problems in potential theory. Zbl 1076.31003
Chapko, R.; Kress, R.
2005
Inverse Dirichlet problem and conformal mapping. Zbl 1054.65112
Kress, R.
2004
On the Fréchet derivative for obstacle scattering with an impedance boundary condition. Zbl 1084.35103
2004
Newton’s method for inverse obstacle scattering meets the method of least squares. Zbl 1052.65055
Kress, Rainer
2003
Integral equation methods for scattering from an impedance crack. Zbl 1041.65094
Kress, Rainer; Lee, Kuo-Ming
2003
A factorization method for an inverse Neumann problem for harmonic vector fields. Zbl 1048.31005
Kress, R.
2003
On the far-field operator in elastic obstacle scattering. Zbl 1141.35429
Alves, Carlos J. S.; Kress, Rainer
2002
Electrostatic imaging via conformal mapping. Zbl 1069.35090
Akduman, Ibrahim; Kress, Rainer
2002
Reconstruction of a current distribution from its magnetic field. Zbl 1043.35147
Kress, Rainer; Kühn, Lars; Potthast, Roland
2002
Linear sampling methods for inverse boundary value problems in potential theory. Zbl 1020.65080
Kress, R.; Kühn, L.
2002
A sampling method for an inverse boundary value problem for harmonic vector fields. Zbl 1059.35170
Kress, R.
2002
Inverse scattering for shape and impedance. Zbl 0985.35109
Kress, Rainer; Rundell, William
2001
On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034
Colton, David; Kress, Rainer
2001
Inverse boundary value problems in potential theory. Zbl 1074.31002
Kress, Rainer
2001
Inverse scattering for a locally perturbed half-plane. Zbl 0999.35101
Kress, R.; Tran, T.
2000
On the numerical solution of initial boundary value problems by the Laguerre transformation and boundary integral equations. Zbl 0965.65121
Chapko, Roman; Kress, Rainer
2000
On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack. Zbl 0995.74080
Chapko, Roman; Kress, Rainer; Mönch, Lars
2000
An inverse boundary value problem for the Oseen equation. Zbl 0951.35133
Kress, Rainer; Meyer, Sascha
2000
Uniqueness for a linearized, inverse obstacle problem using backscattering data. Zbl 0958.35093
Hähner, Peter; Kress, Rainer
2000
Integral equation methods in inverse obstacle scattering. Zbl 0966.65080
Kress, Rainer
2000
Linear integral equations. 2nd ed. Zbl 0920.45001
Kress, Rainer
1999
An inverse boundary value problem for the heat equation: The Neumann condition. Zbl 1044.35527
Chapko, Roman; Kress, Rainer; Yoon, Jeong-Rock
1999
On the far field in obstacle scattering. Zbl 0945.35069
Kress, Rainer; Päivärinta, Lassi
1999
Inverse obstacle scattering using reduced data. Zbl 1050.35021
Kress, Rainer; Rundell, William
1999
On the low wave number behavior of two-dimensional scattering problems for an open arc. Zbl 0942.35053
Kress, Rainer
1999
Inverse acoustic and electromagnetic scattering theory. 2nd ed. Zbl 0893.35138
Colton, David; Kress, Rainer
1998
Numerical analysis. Zbl 0913.65001
Kress, Rainer
1998
On the numerical solution of an inverse boundary value problem for the heat equation. Zbl 0917.35157
Chapko, Roman; Kress, Rainer; Yoon, Jeong-Rock
1998
A sinc quadrature method for the double-layer integral equation in planar domains with corners. Zbl 0916.65135
Kress, Rainer; Sloan, Ian H.; Stenger, Frank
1998
Inverse obstacle scattering with modulus of the far field pattern as data. Zbl 0880.65105
Kress, Rainer; Rundell, William
1997
Rothe’s method for the heat equation and boundary integral equations. Zbl 0885.65101
Chapko, Roman; Kress, Rainer
1997
Integral equation methods in inverse acoustic and electromagnetic scattering. Zbl 0909.65096
Kress, Rainer
1997
Inverse scattering from an orthotropic medium. Zbl 0885.35143
Colton, David; Kress, Rainer; Monk, Peter
1997
A new algorithm in electromagnetic inverse scattering theory with an application to medical imaging. Zbl 0896.35100
Colton, David; Monk, Peter; Kress, Rainer
1997
Inverse obstacle scattering for time-harmonic waves. Zbl 0885.35085
Kress, Rainer
1997
Inverse elastic scattering from a crack. Zbl 0864.35118
Kress, Rainer
1996
Uniqueness in inverse obstacle scattering with conductive boundary condition. Zbl 0868.35137
Gerlach, Thomas; Kress, Rainer
1996
On the numerical solution of a hypersingular integral equation in scattering theory. Zbl 0839.65119
Kress, Rainer
1995
Inverse scattering from an open arc. Zbl 0824.35030
Kress, Rainer
1995
Fréchet differentiability of the far field operator for scattering from a crack. Zbl 0846.35146
Kress, Rainer
1995
Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium. Zbl 0839.35094
Colton, David; Kress, Rainer
1995
Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134
Colton, David; Kress, Rainer
1995
On the spectrum of the magnetostatic integral operator. Zbl 0817.45001
Kress, Rainer
1995
A quasi-Newton method in inverse obstacle scattering. Zbl 0823.35172
Kress, Rainer; Rundell, William
1994
Nearly 100 years of the Fredholm alternative. Zbl 0806.45001
Kreß, Rainer
1994
On the numerical solution of a hypersingular integral equation in scattering theory. Zbl 0811.65131
Kress, Rainer
1994
Uniqueness in inverse obstacle scattering. Zbl 0787.35119
Kirsch, Andreas; Kress, Rainer
1993
On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation. Zbl 0791.65089
Kress, Rainer; Sloan, Ian H.
1993
...and 74 more Documents
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#### Cited by 3,067 Authors

 73 Kress, Rainer 43 Liu, Hongyu 31 Colton, David Lem 31 Hu, Guanghui 30 Yan, Guozheng 28 Liu, Jijun 27 Ammari, Habib M. 26 Chapko, Roman 26 Haddar, Houssem 26 Sayas, Francisco-Javier 25 Cakoni, Fioralba 24 Greengard, Leslie F. 24 Nicholls, David P. 24 Sini, Mourad 23 Monk, Peter B. 23 Potthast, Roland W. E. 23 Zhang, Bo 21 Chandler-Wilde, Simon N. 20 Bao, Gang 20 Li, Jingzhi 20 Liu, Xiaodong 20 Park, Won-Kwang 19 Athanasiadis, Christodoulos E. 19 Barnett, Alex H. 19 Guo, Yukun 19 Ma, Fuming 18 Bruno, Oscar P. 18 Klibanov, Michael V. 17 Hiptmair, Ralf 17 Li, Peijun 15 Eremin, Yuri A. 15 Ganesh, Mahadevan 15 Kirsch, Andreas 15 Lesnic, Daniel 15 Rapún, María-Luisa 15 Sun, Jiguang 14 Djellouli, Rabia 14 Domínguez, Víctor 14 Harbrecht, Helmut 14 Hawkins, Stuart Collin 14 Johansson, B. Tomas 14 Kleefeld, Andreas 14 Krutitskii, Pavel A. 14 Le Louër, Frédérique 14 Meddahi, Salim 14 Nakamura, Gen 14 Nasser, Mohamed M. S. 14 Zhang, Deyue 13 Jiang, Shidong 13 Zhang, Haiwen 12 Antoine, Xavier 12 Arens, Tilo 12 Darbas, Marion 12 Ji, Xia 12 Lee, Kuo-Ming 12 Maleknejad, Khosrow 12 Maponi, Pierluigi 12 Rokhlin, Vladimir 12 Turc, Catalin 12 Wang, Haibing 12 Xu, Yuesheng 12 Zou, Jun 11 Boubendir, Yassine 11 Griesmaier, Roland 11 Lechleiter, Armin 11 Nguyen, Hoai-Minh 11 O’Neil, Michael 11 Setukha, Alexey V. 11 Stephan, Ernst Peter 11 Stratis, Ioannis G. 11 Wei, Ting 11 Xiang, Shuhuang 11 Xu, Yongzhi S. 11 Yamamoto, Masahiro 11 Yan, Wenjing 11 Yang, Yidu 10 Barucq, Hélène 10 Bonnet, Marc 10 Desmet, Wim 10 Elschner, Johannes 10 Gatica, Gabriel N. 10 Hohage, Thorsten 10 Ivanyshyn, Olha 10 Karageorghis, Andreas 10 Lassas, Matti 10 Mitrea, Marius 10 Päivärinta, Lassi 10 Pelekanos, George 10 Sevroglou, Vassilios 9 Cai, Haotao 9 Dassios, George 9 Dehghan Takht Fooladi, Mehdi 9 Egidi, Nadaniela 9 Guo, Jun 9 Ma, Yichen 9 Marin, Liviu 9 Natroshvili, David 9 Nguyen, Dinh Liem 9 Nguyen, Loc Hoang 9 Smirnov, Yury G. ...and 2,967 more Authors
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#### Cited in 330 Serials

 182 Journal of Computational Physics 154 Journal of Computational and Applied Mathematics 104 Mathematical Methods in the Applied Sciences 97 Journal of Mathematical Analysis and Applications 83 Engineering Analysis with Boundary Elements 81 Journal of Integral Equations and Applications 80 Inverse Problems 79 Applied Mathematics and Computation 75 Applied Numerical Mathematics 67 Applicable Analysis 62 Computers & Mathematics with Applications 57 Computer Methods in Applied Mechanics and Engineering 49 SIAM Journal on Applied Mathematics 48 Numerische Mathematik 45 Wave Motion 41 Inverse Problems and Imaging 39 Inverse Problems in Science and Engineering 37 Journal of Inverse and Ill-Posed Problems 35 Advances in Computational Mathematics 34 Journal of Scientific Computing 34 SIAM Journal on Scientific Computing 33 Mathematics of Computation 29 SIAM Journal on Imaging Sciences 27 BIT 26 Integral Equations and Operator Theory 26 Differential Equations 25 Mathematics and Computers in Simulation 24 Numerical Algorithms 24 SIAM Journal on Mathematical Analysis 23 Journal of Differential Equations 22 Computing 20 Journal of Mathematical Physics 20 International Journal of Computer Mathematics 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 SIAM Journal on Numerical Analysis 16 Journal of Econometrics 16 Computational Mathematics and Mathematical Physics 15 Journal of Engineering Mathematics 15 Quarterly of Applied Mathematics 15 Applied Mathematics Letters 15 Applied Mathematical Modelling 15 Linear Algebra and its Applications 14 International Journal for Numerical Methods in Engineering 13 Communications on Pure and Applied Mathematics 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Numerical Functional Analysis and Optimization 13 Mathematical and Computer Modelling 13 Multiscale Modeling & Simulation 12 Archive for Rational Mechanics and Analysis 12 Communications in Mathematical Physics 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 12 Mathematical Problems in Engineering 11 Communications in Partial Differential Equations 11 Science China. Mathematics 10 International Journal of Engineering Science 10 Numerical Methods for Partial Differential Equations 10 Journal of Computational Acoustics 10 Complex Variables and Elliptic Equations 9 Journal of Functional Analysis 9 Applied Mathematics and Mechanics. (English Edition) 9 Applied and Computational Harmonic Analysis 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Journal of Elasticity 8 Abstract and Applied Analysis 8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 8 Advances in Mathematical Physics 7 Computer Physics Communications 7 Proceedings of the American Mathematical Society 7 Transactions of the American Mathematical Society 7 RAIRO. Modélisation Mathématique et Analyse Numérique 7 Acta Mathematicae Applicatae Sinica. English Series 7 Computational Mechanics 7 Mathematics and Mechanics of Solids 7 Archives of Computational Methods in Engineering 7 East Asian Journal on Applied Mathematics 6 Journal of Fluid Mechanics 6 The Annals of Statistics 6 Journal of Approximation Theory 6 Mathematische Nachrichten 6 Japan Journal of Industrial and Applied Mathematics 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Lobachevskii Journal of Mathematics 6 The ANZIAM Journal 6 Journal of Applied Mathematics and Computing 6 Electronic Research Archive 5 Acta Mechanica 5 Journal of Mathematical Biology 5 Reports on Mathematical Physics 5 Ukrainian Mathematical Journal 5 Prikladnaya Matematika i Mekhanika 5 Calcolo 5 Science in China. Series A 5 Journal of Mathematical Sciences (New York) 5 Advances in Applied Clifford Algebras 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Foundations of Computational Mathematics 5 GEM - International Journal on Geomathematics ...and 230 more Serials
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#### Cited in 49 Fields

 1,550 Partial differential equations (35-XX) 1,421 Numerical analysis (65-XX) 779 Optics, electromagnetic theory (78-XX) 473 Integral equations (45-XX) 430 Fluid mechanics (76-XX) 308 Mechanics of deformable solids (74-XX) 134 Operator theory (47-XX) 129 Potential theory (31-XX) 98 Approximations and expansions (41-XX) 85 Biology and other natural sciences (92-XX) 80 Calculus of variations and optimal control; optimization (49-XX) 74 Statistics (62-XX) 54 Functions of a complex variable (30-XX) 52 Ordinary differential equations (34-XX) 44 Harmonic analysis on Euclidean spaces (42-XX) 43 Information and communication theory, circuits (94-XX) 42 Quantum theory (81-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 37 Geophysics (86-XX) 31 Functional analysis (46-XX) 31 Classical thermodynamics, heat transfer (80-XX) 30 Computer science (68-XX) 29 Integral transforms, operational calculus (44-XX) 28 Special functions (33-XX) 28 Probability theory and stochastic processes (60-XX) 27 Global analysis, analysis on manifolds (58-XX) 26 Statistical mechanics, structure of matter (82-XX) 18 Systems theory; control (93-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Operations research, mathematical programming (90-XX) 6 Real functions (26-XX) 6 Differential geometry (53-XX) 5 Number theory (11-XX) 4 Astronomy and astrophysics (85-XX) 3 History and biography (01-XX) 3 Measure and integration (28-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 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-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 Convex and discrete geometry (52-XX) 1 Mathematics education (97-XX)