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Kress, Rainer

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Author ID: kress.rainer Recent zbMATH articles by "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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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

Publications by Year

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
626
1998
Integral equation methods in scattering theory. Zbl 0522.35001
Colton, David; Kress, Rainer
561
1983
Linear integral equations. Zbl 0671.45001
Kress, Rainer
350
1989
Inverse acoustic and electromagnetic scattering theory. Zbl 0760.35053
Colton, David; Kress, Rainer
334
1992
Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121
Colton, David; Kress, Rainer
300
2013
Linear integral equations. 2nd ed. Zbl 0920.45001
Kress, Rainer
255
1999
Linear integral equations. 3rd ed. Zbl 1328.45001
Kress, Rainer
89
2014
On the numerical solution of a hypersingular integral equation in scattering theory. Zbl 0839.65119
Kress, Rainer
75
1995
A Nyström method for boundary integral equations in domains with corners. Zbl 0707.65078
Kress, Rainer
73
1990
Minimizing the condition number of boundary integral operators in acoustic and electromagnetic scattering. Zbl 0559.73095
Kress, Rainer
72
1985
Transmission problems for the Helmholtz equation. Zbl 0433.35017
Kress, Rainer; Roach, G. F.
70
1978
Numerical analysis. Zbl 0913.65001
Kress, Rainer
63
1998
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139
Kress, Rainer; Rundell, William
57
2005
Uniqueness in inverse obstacle scattering. Zbl 0787.35119
Kirsch, Andreas; Kress, Rainer
50
1993
Inverse scattering from an open arc. Zbl 0824.35030
Kress, Rainer
48
1995
Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003
Colton, David; Kress, Rainer
46
2013
Identification of sound-soft 3D obstacles from phaseless data. Zbl 1220.35194
Ivanyshyn, Olha; Kress, Rainer
37
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
33
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.
33
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.
31
1993
Boundary integral equations in time-harmonic acoustic scattering. Zbl 0731.76077
Kress, Rainer
31
1991
Inverse obstacle scattering with modulus of the far field pattern as data. Zbl 0880.65105
Kress, Rainer; Rundell, William
30
1997
Inverse scattering for surface impedance from phase-less far field data. Zbl 1218.65123
Ivanyshyn, Olha; Kress, Rainer
29
2011
Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150
Cakoni, Fioralba; Kress, Rainer
29
2007
Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks. Zbl 1139.45003
Ivanyshyn, Olha; Kress, Rainer
27
2006
Inverse scattering for shape and impedance. Zbl 0985.35109
Kress, Rainer; Rundell, William
27
2001
An inverse boundary value problem for the heat equation: The Neumann condition. Zbl 1044.35527
Chapko, Roman; Kress, Rainer; Yoon, Jeong-Rock
27
1999
Rothe’s method for the heat equation and boundary integral equations. Zbl 0885.65101
Chapko, Roman; Kress, Rainer
27
1997
Inverse elastic scattering from a crack. Zbl 0864.35118
Kress, Rainer
24
1996
Conformal mappings and inverse boundary value problems. Zbl 1071.35123
Haddar, Houssem; Kress, Rainer
23
2005
On the far-field operator in elastic obstacle scattering. Zbl 1141.35429
Alves, Carlos J. S.; Kress, Rainer
23
2002
Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001
Colton, David; Kress, Rainer
22
2019
A hybrid method for two-dimensional crack reconstruction. Zbl 1070.35126
Kress, Rainer; Serranho, Pedro
22
2005
Using fundamental solutions in inverse scattering. Zbl 1099.35168
Colton, David; Kress, Rainer
21
2006
Newton’s method for inverse obstacle scattering meets the method of least squares. Zbl 1052.65055
Kress, Rainer
21
2003
On the simulation source technique for exterior problems in acoustics. Zbl 0626.35019
Kress, Rainer; Mohsen, Adel A.
20
1986
Huygens’ principle and iterative methods in inverse obstacle scattering. Zbl 1205.65304
Ivanyshyn, Olha; Kress, Rainer; Serranho, Pedro
19
2010
Inverse Dirichlet problem and conformal mapping. Zbl 1054.65112
Kress, R.
19
2004
Electrostatic imaging via conformal mapping. Zbl 1069.35090
Akduman, Ibrahim; Kress, Rainer
18
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
18
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
18
1979
Inverse scattering for a locally perturbed half-plane. Zbl 0999.35101
Kress, R.; Tran, T.
17
2000
Two methods for solving the inverse acoustic scattering problem. Zbl 0698.65076
Kirsch, Andreas; Kress, Rainer; Monk, P.; Zinn, Axel
17
1988
Nonlinear integral equations for the inverse electrical impedance problem. Zbl 1115.35147
Eckel, Harry; Kress, Rainer
16
2007
On the Fréchet derivative for obstacle scattering with an impedance boundary condition. Zbl 1084.35103
Haddar, Houssem; Kress, Rainer
16
2004
Integral equation methods for scattering from an impedance crack. Zbl 1041.65094
Kress, Rainer; Lee, Kuo-Ming
15
2003
On the exterior boundary-value problem for the time-harmonic Maxwell equations. Zbl 0424.35031
Knauff, Werner; Kress, Rainer
15
1979
On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034
Colton, David; Kress, Rainer
14
2001
Uniqueness in inverse obstacle scattering with conductive boundary condition. Zbl 0868.35137
Gerlach, Thomas; Kress, Rainer
14
1996
Nonlinear integral equations in inverse obstacle scattering. Zbl 1127.35078
Ivanyshyn, O.; Kress, R.
13
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
13
2000
A quasi-Newton method in inverse obstacle scattering. Zbl 0823.35172
Kress, Rainer; Rundell, William
13
1994
On general Hermite trigonometric interpolation. Zbl 0231.65009
Kress, Rainer
13
1972
Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition. Zbl 1302.65146
Cakoni, Fioralba; Kress, Rainer
12
2013
A hybrid method for sound-hard obstacle reconstruction. Zbl 1350.35139
Kress, Rainer; Serranho, Pedro
12
2007
A hybrid method for inverse boundary value problems in potential theory. Zbl 1076.31003
Chapko, R.; Kress, R.
12
2005
Fréchet differentiability of the far field operator for scattering from a crack. Zbl 0846.35146
Kress, Rainer
12
1995
Optimale approximation linearer Funktionale auf periodischen Funktionen. Zbl 0269.65012
Knauff, Werner; Kress, Rainer
12
1974
Zur numerischen Integration periodischer Funktionen nach der Rechteckregel. (Numerical integration of periodic functions by the rectangular rule). Zbl 0231.65026
Kress, Rainer
12
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
11
2000
Integral equation methods in inverse acoustic and electromagnetic scattering. Zbl 0909.65096
Kress, Rainer
11
1997
Potentialtheoretische Randwertprobleme bei Tensorfeldern beliebiger Dimension und beliebigen Ranges. Zbl 0238.31010
Kress, Rainer
11
1972
Inverse scattering from an orthotropic medium. Zbl 0885.35143
Colton, David; Kress, Rainer; Monk, Peter
10
1997
On an integral equation of the first kind in inverse acoustic scattering. Zbl 0607.65089
Kirsch, Andreas; Kress, Rainer
10
1986
On an integral equation for the two-dimensional exterior Stokes problem. Zbl 0588.76048
Hsiao, George C.; Kress, Rainer
10
1985
On non-normal matrices. Zbl 0212.05301
Kress, Rainer; de Vries, Hans-Ludwig; Wegmann, Rudolf
10
1974
On the general Hermite cardinal interpolation. Zbl 0264.30037
Kress, Rainer
10
1972
Integral equations for shape and impedance reconstruction in corrosion detection. Zbl 1198.35289
Cakoni, Fioralba; Kress, Rainer; Schuft, Christian
9
2010
Conformal mapping and impedance tomography. Zbl 1194.35500
Haddar, Houssem; Kress, Rainer
9
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
9
2008
Reconstruction of a current distribution from its magnetic field. Zbl 1043.35147
Kress, Rainer; Kühn, Lars; Potthast, Roland
9
2002
On the far field in obstacle scattering. Zbl 0945.35069
Kress, Rainer; Päivärinta, Lassi
9
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
9
1998
Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium. Zbl 0839.35094
Colton, David; Kress, Rainer
9
1995
On a quadrature method for a logarithmic integral equation of the first kind. Zbl 0834.65134
Chapko, Roman; Kress, Rainer
9
1993
Looking back on inverse scattering theory. Zbl 1402.35090
Colton, David; Kress, Rainer
8
2018
A collocation method for a hypersingular boundary integral equation via trigonometric differentiation. Zbl 1310.65169
Kress, Rainer
8
2014
Inverse problems and conformal mapping. Zbl 1246.30016
Kress, Rainer
8
2012
Inverse scattering for an impedance cylinder buried in a dielectric cylinder. Zbl 1172.78005
Kress, Rainer; Yaman, Fatih; Yapar, Ali; Akduman, Ibrahim
8
2009
Iterative and range test methods for an inverse source problem for acoustic waves. Zbl 1170.65087
Alves, Carlos; Kress, Rainer; Serranho, Pedro
8
2009
An inverse boundary value problem for the Oseen equation. Zbl 0951.35133
Kress, Rainer; Meyer, Sascha
8
2000
On the numerical solution of the three-dimensional inverse obstacle scattering problem. Zbl 0774.65092
Kress, Rainer; Zinn, Axel
8
1992
On the condition number of integral equations in acoustics using modified fundamental solutions. Zbl 0529.45001
Kleinman, R. E.; Kress, Rainer
8
1983
A remark on a boundary value problem for force-free fields. Zbl 0376.35005
Kress, Rainer
8
1977
On mixed boundary value problems for the Helmholtz equation. Zbl 0353.35029
Kress, Rainer; Roach, G. F.
8
1977
Inverse scattering for planar cracks via nonlinear integral equations. Zbl 1153.65367
Ivanyshyn, O.; Kress, R.
7
2008
Inverse obstacle scattering using reduced data. Zbl 1050.35021
Kress, Rainer; Rundell, William
7
1999
On the low wave number asymptotics for the two-dimensional exterior Dirichlet problem for the reduced wave equation. Zbl 0657.35037
Kress, Rainer
7
1987
On the boundary operator in electromagnetic scattering. Zbl 0637.35066
Kress, Rainer
7
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
7
1980
Interpolation auf einem unendlichen Intervall. Zbl 0217.52201
Kress, Rainer
7
1970
A boundary integral equation method for the transmission eigenvalue problem. Zbl 1358.35225
Cakoni, Fioralba; Kress, Rainer
6
2017
Conformal mapping and an inverse impedance boundary value problem. Zbl 1111.35112
Haddar, H.; Kress, R.
6
2006
A numerical method for an inverse scattering problem. Zbl 0629.65132
Kirsch, Andreas; Kress, Rainer
6
1987
On constant-alpha force-free fields in a torus. Zbl 0637.76121
Kress, Rainer
6
1986
A boundary integral equation method for a Neumann boundary problem for force-free fields. Zbl 0477.73077
Kress, Rainer
6
1981
On the existence of a solution to a singular integral equation in electromagnetic reflection. Zbl 0448.45002
Kress, Rainer
6
1980
On non-normal matrices. Zbl 0273.15018
Kress, Rainer; de Vries, Hans-Ludwig; Wegmann, Rudolf
6
1974
Über die numerische Berechnung konjugierter Funktionen. Zbl 0259.65028
Kress, Rainer
6
1972
Ein Neumannsches Randwertproblem bei kraftfreien Feldern. Zbl 0256.31007
Kress, Rainer
6
1972
Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001
Colton, David; Kress, Rainer
22
2019
Looking back on inverse scattering theory. Zbl 1402.35090
Colton, David; Kress, Rainer
8
2018
Integral equation methods in inverse obstacle scattering with a generalized impedance boundary condition. Zbl 1407.65271
Kress, Rainer
1
2018
Inverse scattering for shape and impedance revisited. Zbl 1402.35091
Kress, Rainer; Rundell, William
1
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.
1
2018
A boundary integral equation method for the transmission eigenvalue problem. Zbl 1358.35225
Cakoni, Fioralba; Kress, Rainer
6
2017
On Trefftz’ integral equation for the Bernoulli free boundary value problem. Zbl 1367.31003
Kress, Rainer
5
2017
Nonlinear integral equations for Bernoulli’s free boundary value problem in three dimensions. Zbl 1397.45005
Ivanyshyn Yaman, Olha; Kress, Rainer
2
2017
A conformal mapping algorithm for the Bernoulli free boundary value problem. Zbl 1350.31007
Haddar, Houssem; Kress, Rainer
3
2016
A nonlinear integral equation and an iterative algorithm for an inverse source problem. Zbl 1323.31006
Kress, Rainer; Rundell, William
3
2015
Linear integral equations. 3rd ed. Zbl 1328.45001
Kress, Rainer
89
2014
A collocation method for a hypersingular boundary integral equation via trigonometric differentiation. Zbl 1310.65169
Kress, Rainer
8
2014
Simultaneous reconstruction of shape and generalized impedance functions in electrostatic imaging. Zbl 1305.65222
Cakoni, Fioralba; Hu, Yuqing; Kress, Rainer
5
2014
A conformal mapping method in inverse obstacle scattering. Zbl 1293.30022
Haddar, Houssem; Kress, Rainer
3
2014
Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121
Colton, David; Kress, Rainer
300
2013
Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003
Colton, David; Kress, Rainer
46
2013
Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition. Zbl 1302.65146
Cakoni, Fioralba; Kress, Rainer
12
2013
Reconstruction of extended sources for the Helmholtz equation. Zbl 1275.78004
Kress, Rainer; Rundell, William
4
2013
Inverse problems and conformal mapping. Zbl 1246.30016
Kress, Rainer
8
2012
On a two-dimensional inverse scattering problem for a dielectric. Zbl 1247.78016
Altundag, Ahmet; Kress, Rainer
4
2012
An iterative method for a two-dimensional inverse scattering problem for a dielectric. Zbl 1279.35010
Altundag, Ahmet; Kress, Rainer
1
2012
Inverse scattering for surface impedance from phase-less far field data. Zbl 1218.65123
Ivanyshyn, Olha; Kress, Rainer
29
2011
Inverse scattering. Zbl 1259.35003
Colton, David; Kress, Rainer
4
2011
A second degree Newton method for an inverse obstacle scattering problem. Zbl 1433.35460
Kress, Rainer; Lee, Kuo-Ming
3
2011
Electrical impedance tomography using a point electrode inverse scheme for complete electrode data. Zbl 1219.35354
Delbary, Fabrice; Kress, Rainer
1
2011
Identification of sound-soft 3D obstacles from phaseless data. Zbl 1220.35194
Ivanyshyn, Olha; Kress, Rainer
37
2010
Huygens’ principle and iterative methods in inverse obstacle scattering. Zbl 1205.65304
Ivanyshyn, Olha; Kress, Rainer; Serranho, Pedro
19
2010
Integral equations for shape and impedance reconstruction in corrosion detection. Zbl 1198.35289
Cakoni, Fioralba; Kress, Rainer; Schuft, Christian
9
2010
Conformal mapping and impedance tomography. Zbl 1194.35500
Haddar, Houssem; Kress, Rainer
9
2010
Simultaneous reconstruction of shape and impedance in corrosion detection. Zbl 1219.35071
Cakoni, Fioralba; Kress, Rainer; Schuft, Christian
4
2010
Corrections to “Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks”. Zbl 1253.45005
Ivanyshyn, O.; Kress, R.
1
2010
Electrical impedance tomography with point electrodes. Zbl 1204.78016
Delbary, Fabrice; Kress, Rainer
1
2010
Inverse scattering for an impedance cylinder buried in a dielectric cylinder. Zbl 1172.78005
Kress, Rainer; Yaman, Fatih; Yapar, Ali; Akduman, Ibrahim
8
2009
Iterative and range test methods for an inverse source problem for acoustic waves. Zbl 1170.65087
Alves, Carlos; Kress, Rainer; Serranho, Pedro
8
2009
Thirty years and still counting. Zbl 1190.35005
Colton, David; Kress, Rainer
3
2009
A second order Newton method for sound soft inverse obstacle scattering. Zbl 1166.35318
Kress, R.; Tezel, N.; Yaman, F.
2
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
9
2008
Inverse scattering for planar cracks via nonlinear integral equations. Zbl 1153.65367
Ivanyshyn, O.; Kress, R.
7
2008
Non-linear integral equations for the complete electrode model in inverse impedance tomography. Zbl 1151.45301
Eckel, Harry; Kress, Rainer
4
2008
Iterative methods for planar crack reconstruction in semi-infinite domains. Zbl 1152.35339
Kress, R.; Vintonyak, N.
1
2008
Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150
Cakoni, Fioralba; Kress, Rainer
29
2007
Nonlinear integral equations for the inverse electrical impedance problem. Zbl 1115.35147
Eckel, Harry; Kress, Rainer
16
2007
A hybrid method for sound-hard obstacle reconstruction. Zbl 1350.35139
Kress, Rainer; Serranho, Pedro
12
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.
3
2007
Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks. Zbl 1139.45003
Ivanyshyn, Olha; Kress, Rainer
27
2006
Using fundamental solutions in inverse scattering. Zbl 1099.35168
Colton, David; Kress, Rainer
21
2006
Nonlinear integral equations in inverse obstacle scattering. Zbl 1127.35078
Ivanyshyn, O.; Kress, R.
13
2006
Conformal mapping and an inverse impedance boundary value problem. Zbl 1111.35112
Haddar, H.; Kress, R.
6
2006
Iterative reconstruction of dielectric rough surface profiles at fixed frequency. Zbl 1099.78006
Akduman, Ibrahim; Kress, Rainer; Yapar, Ali
5
2006
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139
Kress, Rainer; Rundell, William
57
2005
Conformal mappings and inverse boundary value problems. Zbl 1071.35123
Haddar, Houssem; Kress, Rainer
23
2005
A hybrid method for two-dimensional crack reconstruction. Zbl 1070.35126
Kress, Rainer; Serranho, Pedro
22
2005
A hybrid method for inverse boundary value problems in potential theory. Zbl 1076.31003
Chapko, R.; Kress, R.
12
2005
Inverse Dirichlet problem and conformal mapping. Zbl 1054.65112
Kress, R.
19
2004
On the Fréchet derivative for obstacle scattering with an impedance boundary condition. Zbl 1084.35103
Haddar, Houssem; Kress, Rainer
16
2004
Newton’s method for inverse obstacle scattering meets the method of least squares. Zbl 1052.65055
Kress, Rainer
21
2003
Integral equation methods for scattering from an impedance crack. Zbl 1041.65094
Kress, Rainer; Lee, Kuo-Ming
15
2003
A factorization method for an inverse Neumann problem for harmonic vector fields. Zbl 1048.31005
Kress, R.
3
2003
On the far-field operator in elastic obstacle scattering. Zbl 1141.35429
Alves, Carlos J. S.; Kress, Rainer
23
2002
Electrostatic imaging via conformal mapping. Zbl 1069.35090
Akduman, Ibrahim; Kress, Rainer
18
2002
Reconstruction of a current distribution from its magnetic field. Zbl 1043.35147
Kress, Rainer; Kühn, Lars; Potthast, Roland
9
2002
Linear sampling methods for inverse boundary value problems in potential theory. Zbl 1020.65080
Kress, R.; Kühn, L.
5
2002
A sampling method for an inverse boundary value problem for harmonic vector fields. Zbl 1059.35170
Kress, R.
2
2002
Inverse scattering for shape and impedance. Zbl 0985.35109
Kress, Rainer; Rundell, William
27
2001
On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034
Colton, David; Kress, Rainer
14
2001
Inverse boundary value problems in potential theory. Zbl 1074.31002
Kress, Rainer
2
2001
Inverse scattering for a locally perturbed half-plane. Zbl 0999.35101
Kress, R.; Tran, T.
17
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
13
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
11
2000
An inverse boundary value problem for the Oseen equation. Zbl 0951.35133
Kress, Rainer; Meyer, Sascha
8
2000
Uniqueness for a linearized, inverse obstacle problem using backscattering data. Zbl 0958.35093
Hähner, Peter; Kress, Rainer
2
2000
Integral equation methods in inverse obstacle scattering. Zbl 0966.65080
Kress, Rainer
1
2000
Linear integral equations. 2nd ed. Zbl 0920.45001
Kress, Rainer
255
1999
An inverse boundary value problem for the heat equation: The Neumann condition. Zbl 1044.35527
Chapko, Roman; Kress, Rainer; Yoon, Jeong-Rock
27
1999
On the far field in obstacle scattering. Zbl 0945.35069
Kress, Rainer; Päivärinta, Lassi
9
1999
Inverse obstacle scattering using reduced data. Zbl 1050.35021
Kress, Rainer; Rundell, William
7
1999
On the low wave number behavior of two-dimensional scattering problems for an open arc. Zbl 0942.35053
Kress, Rainer
1
1999
Inverse acoustic and electromagnetic scattering theory. 2nd ed. Zbl 0893.35138
Colton, David; Kress, Rainer
626
1998
Numerical analysis. Zbl 0913.65001
Kress, Rainer
63
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
33
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
9
1998
Inverse obstacle scattering with modulus of the far field pattern as data. Zbl 0880.65105
Kress, Rainer; Rundell, William
30
1997
Rothe’s method for the heat equation and boundary integral equations. Zbl 0885.65101
Chapko, Roman; Kress, Rainer
27
1997
Integral equation methods in inverse acoustic and electromagnetic scattering. Zbl 0909.65096
Kress, Rainer
11
1997
Inverse scattering from an orthotropic medium. Zbl 0885.35143
Colton, David; Kress, Rainer; Monk, Peter
10
1997
A new algorithm in electromagnetic inverse scattering theory with an application to medical imaging. Zbl 0896.35100
Colton, David; Monk, Peter; Kress, Rainer
3
1997
Inverse obstacle scattering for time-harmonic waves. Zbl 0885.35085
Kress, Rainer
1
1997
Inverse elastic scattering from a crack. Zbl 0864.35118
Kress, Rainer
24
1996
Uniqueness in inverse obstacle scattering with conductive boundary condition. Zbl 0868.35137
Gerlach, Thomas; Kress, Rainer
14
1996
On the numerical solution of a hypersingular integral equation in scattering theory. Zbl 0839.65119
Kress, Rainer
75
1995
Inverse scattering from an open arc. Zbl 0824.35030
Kress, Rainer
48
1995
Fréchet differentiability of the far field operator for scattering from a crack. Zbl 0846.35146
Kress, Rainer
12
1995
Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium. Zbl 0839.35094
Colton, David; Kress, Rainer
9
1995
Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134
Colton, David; Kress, Rainer
5
1995
On the spectrum of the magnetostatic integral operator. Zbl 0817.45001
Kress, Rainer
2
1995
A quasi-Newton method in inverse obstacle scattering. Zbl 0823.35172
Kress, Rainer; Rundell, William
13
1994
Nearly 100 years of the Fredholm alternative. Zbl 0806.45001
Kreß, Rainer
2
1994
On the numerical solution of a hypersingular integral equation in scattering theory. Zbl 0811.65131
Kress, Rainer
1
1994
Uniqueness in inverse obstacle scattering. Zbl 0787.35119
Kirsch, Andreas; Kress, Rainer
50
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.
31
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)

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