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Author ID: colton.david-l Recent zbMATH articles by "Colton, David Lem"
Published as: Colton, David; Colton, D.; Colton, David L.; Colton, D. L.
Homepage: http://www.math.udel.edu/~colton/
External Links: MGP
Documents Indexed: 250 Publications since 1968, including 19 Books
4 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 41 Co-Authors with 166 Joint Publications
1,212 Co-Co-Authors
all top 5

Serials

31 Inverse Problems
16 SIAM Journal on Mathematical Analysis
12 SIAM Journal on Applied Mathematics
11 Applicable Analysis
11 Journal of Differential Equations
8 Mathematical Methods in the Applied Sciences
8 Quarterly Journal of Mechanics and Applied Mathematics
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Journal of Computational and Applied Mathematics
6 Proceedings of the American Mathematical Society
6 Proceedings of the Edinburgh Mathematical Society. Series II
5 Applied Mathematical Sciences
4 Journal of Mathematical Analysis and Applications
3 Archive for Rational Mechanics and Analysis
3 IMA Journal of Applied Mathematics
3 Duke Mathematical Journal
3 The Quarterly Journal of Mathematics. Oxford Second Series
3 SIAM Review
3 Inverse Problems and Imaging
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Journal of Approximation Theory
2 Mathematika
2 Journal of Integral Equations and Applications
2 SIAM Journal on Scientific Computing
2 Bulletin of the American Mathematical Society
2 CBMS-NSF Regional Conference Series in Applied Mathematics
1 Computers & Mathematics with Applications
1 American Journal of Mathematics
1 Bulletin of the London Mathematical Society
1 Glasgow Mathematical Journal
1 Journal of the London Mathematical Society. Second Series
1 Mathematics and Computers in Simulation
1 Quarterly of Applied Mathematics
1 SIAM Journal on Scientific and Statistical Computing
1 Complex Variables. Theory and Application
1 Applied Numerical Mathematics
1 European Journal of Applied Mathematics
1 International Journal of Computer Mathematics
1 Notices of the American Mathematical Society
1 Computational and Applied Mathematics
1 Georgian Mathematical Journal
1 Journal of Inverse and Ill-Posed Problems
1 Advances in Computational Mathematics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 The ANZIAM Journal
1 IEEE Transactions on Antennas and Propagation
1 Journal of the Australian Mathematical Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Proceedings of the Cambridge Philosophical Society
1 Journal of Mathematics and Mechanics
1 Classics in Applied Mathematics
1 Lecture Notes in Mathematics
1 SIAM Monographs on Mathematical Modeling and Computation
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Interaction of Mechanics and Mathematics
1 Monographs and Studies in Mathematics

Publications by Year

Citations contained in zbMATH Open

196 Publications have been cited 4,700 times in 2,524 Documents Cited by Year
Inverse acoustic and electromagnetic scattering theory. 2nd ed. Zbl 0893.35138
Colton, David; Kress, Rainer
677
1998
Integral equation methods in scattering theory. Zbl 0522.35001
Colton, David; Kress, Rainer
568
1983
Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121
Colton, David; Kress, Rainer
367
2013
Inverse acoustic and electromagnetic scattering theory. Zbl 0760.35053
Colton, David; Kress, Rainer
292
1992
A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133
Colton, David; Kirsch, Andreas
177
1996
Qualitative methods in inverse scattering theory. An introduction. Zbl 1099.78008
Cakoni, Fioralba; Colton, David
127
2006
Recent developments in inverse acoustic scattering theory. Zbl 0960.76081
Colton, David; Coyle, Joe; Monk, Peter
82
2000
Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001
Colton, David; Kress, Rainer
73
2019
Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003
Colton, David; Kress, Rainer
73
2013
Inverse scattering theory and transmission eigenvalues. Zbl 1366.35001
Cakoni, Fioralba; Colton, David; Haddar, Houssem
73
2016
A qualitative approach to inverse scattering theory. Zbl 1302.35001
Cakoni, Fioralba; Colton, David
71
2014
The interior transmission problem. Zbl 1130.35132
Colton, David; Päivärinta, Lassi; Sylvester, John
69
2007
The inverse scattering problem for time-harmonic acoustic waves in an inhomogeneous medium. Zbl 0637.73026
Colton, David; Monk, Peter
65
1988
A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123
Colton, David; Piana, Michele; Potthast, Roland
65
1997
Pseudoparabolic equations in one space variable. Zbl 0231.35038
Colton, David L.
65
1972
The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001
Cakoni, Fioralba; Colton, David; Monk, Peter
60
2011
Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024
Colton, David; Monk, Peter; Sun, Jiguang
56
2010
On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204
Cakoni, Fioralba; Colton, David; Haddar, Houssem
55
2010
The linear sampling method for cracks. Zbl 1171.35487
Cakoni, Fioralba; Colton, David
52
2003
An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121
Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William
51
1997
The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314
Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang
47
2010
Far-field patterns for acoustic waves in an inhomogeneous medium. Zbl 0681.76084
Colton, David; Kirsch, Andreas; Päivärinta, Lassi
38
1989
Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086
Colton, David; Sleeman, B. D.
37
1983
Stekloff eigenvalues in inverse scattering. Zbl 1346.35228
Cakoni, F.; Colton, D.; Meng, S.; Monk, P.
37
2016
On the use of transmission eigenvalues to estimate the index of refraction from far field data. Zbl 1115.78008
Cakoni, Fioralba; Colton, David; Monk, Peter
36
2007
The linear sampling method in inverse electromagnetic scattering theory. Zbl 1049.78010
Colton, David; Haddar, Houssem; Piana, Michele
36
2003
The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122
Cakoni, Fioralba; Colton, David; Monk, Peter
34
2001
A novel method for solving the inverse scattering problem for time- harmonic acoustic waves in the resonance region. Zbl 0588.76140
Colton, David; Monk, Peter
30
1985
A novel method for solving the inverse scattering problem for time- harmonic acoustic waves in the resonance region. II. Zbl 0641.76073
Colton, David; Monk, Peter
30
1986
The interior transmission eigenvalue problem. Zbl 1219.35352
Cakoni, Fioralba; Colton, David; Gintides, Drossos
30
2010
The uniqueness of a solution to an inverse scattering problem for electromagnetic waves. Zbl 0756.35114
Colton, David; Päivärinta, Lassi
29
1992
The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008
Colton, David; Haddar, Houssem; Monk, Peter
28
2002
An application of the reciprocity gap functional to inverse scattering theory. Zbl 1086.35129
Colton, David; Haddar, Houssem
28
2005
Complex eigenvalues and the inverse spectral problem for transmission eigenvalues. Zbl 1305.34027
Colton, David; Leung, Yuk-J
28
2013
The inverse scattering problem for cavities. Zbl 1241.78027
Qin, Hai-Hua; Colton, David
27
2012
Transmission eigenvalues and the nondestructive testing of dielectrics. Zbl 1157.35497
Cakoni, Fioralba; Çayören, Mehmet; Colton, David
27
2008
The inverse scattering problem for cavities with impedance boundary condition. Zbl 1238.35189
Qin, Hai-Hua; Colton, David
26
2012
Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003
Cakoni, F.; Colton, D.
25
2005
The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021
Cakoni, Fioralba; Colton, David; Monk, Peter
25
2004
The determination of the surface impedance of a partially coated obstacle from far field data. Zbl 1059.35163
Cakoni, Fioralba; Colton, David
24
2004
The interior transmission problem for regions with cavities. Zbl 1209.35135
Cakoni, Fioralba; Colton, David; Haddar, Houssem
23
2010
Using fundamental solutions in inverse scattering. Zbl 1099.35168
Colton, David; Kress, Rainer
23
2006
Solution of boundary value problems by the method of integral operators. Zbl 0332.35001
Colton, D. L.
21
1976
The numerical solution of the three-dimensional inverse scattering problem for time harmonic acoustic waves. Zbl 0623.65130
Colton, David; Monk, Peter
21
1987
Distribution of complex transmission eigenvalues for spherically stratified media. Zbl 1332.34135
Colton, David; Leung, Yuk-J; Meng, Shixu
21
2015
The linear sampling method for anisotropic media. Zbl 1019.78003
Cakoni, Fioralba; Colton, David; Haddar, Houssem
20
2002
Inverse acoustic and electromagnetic scattering theory. Zbl 1081.78013
Colton, David
20
2003
Complex transmission eigenvalues for spherically stratified media. Zbl 1260.47012
Leung, Yuk-J; Colton, David
20
2012
The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524
Cakoni, Fioralba; Colton, David; Meng, Shixu
19
2014
A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172
Colton, David; Giebermann, Klaus; Monk, Peter
19
2000
A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013
Cakoni, Fioralba; Colton, David
19
2003
The inverse scattering problem for time-harmonic acoustic waves. Zbl 0553.35087
Colton, David
18
1984
The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007
Cakoni, Fioralba; Colton, David; Monk, Peter
18
2005
Looking back on inverse scattering theory. Zbl 1402.35090
Colton, David; Kress, Rainer
16
2018
Integral equation methods in scattering theory. (Metody integral’nykh uravnenij v teorii rasseyaniya). Transl. from the English. Zbl 0621.35002
Colton, David; Kress, Rainer
16
1987
Toward a time domain approach to the linear sampling method. Zbl 1291.65293
Guo, Y.; Monk, P.; Colton, D.
16
2013
The inverse scattering problem for time-harmonic acoustic waves in a penetrable medium. Zbl 0619.35110
Colton, David; Monk, Peter
15
1987
On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034
Colton, David; Kress, Rainer
15
2001
Integral operators and the first initial boundary value problem for pseudoparabolic equations with analytic coefficients. Zbl 0255.35050
Colton, David
15
1973
Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305
Cogar, S.; Colton, D.; Meng, S.; Monk, P.
15
2017
The numerical solution of the inverse Stefan problem in two space variables. Zbl 0576.65125
Colton, David; Reemtsen, Rembert
14
1984
Asymptotic behaviour of the fundamental solution to the equation of heat conduction in two temperatures. Zbl 0409.35050
Colton, David; Wimp, Jet
14
1979
Dense sets and far field patterns in acoustic wave propagation. Zbl 0572.76074
Colton, David; Kirsch, Andreas
13
1984
Inverse scattering from an orthotropic medium. Zbl 0885.35143
Colton, David; Kress, Rainer; Monk, Peter
13
1997
The solution of initial-boundary value problems for parabolic equations by the method of integral operators. Zbl 0407.35043
Colton, David
13
1977
The direct and inverse scattering problems for an arbitrary cylinder: Dirichlet boundary conditions. Zbl 0439.35020
Colton, David; Kleinman, Ralph
13
1980
Cauchy’s problem for a singular parabolic partial differential equation. Zbl 0199.16501
Colton, David
13
1970
The interior transmission eigenvalue problem for absorbing media. Zbl 1298.78019
Cakoni, Fioralba; Colton, David; Haddar, Houssem
11
2012
The determination of the surface impedance of an obstacle from measurements of the far field pattern. Zbl 0464.35077
Colton, David; Kirsch, Andreas
11
1981
Analytic theory of partial differential equations. Zbl 0468.35001
Colton, David L.
11
1980
The three dimensional inverse scattering problem for acoustic waves. Zbl 0496.65069
Angell, T. S.; Colton, David; Kirsch, Andreas
11
1982
On the analytic theory of pseudoparabolic equations. Zbl 0232.35006
Colton, David
11
1972
Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium. Zbl 0839.35094
Colton, David; Kress, Rainer
11
1995
Analytic continuation of solutions to partial differential equations with applications to problems in scattering theory. Zbl 0536.35008
Colton, D. L.
10
1983
The linear sampling method for sparse small aperture data. Zbl 1351.65070
Guo, Y.; Monk, P.; Colton, D.
10
2016
The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data. Zbl 1173.35722
Cakoni, Fioralba; Colton, David; Haddar, Houssem
9
2009
On the mathematical basis of the linear sampling method. Zbl 1054.35123
Cakoni, Fioralba; Colton, David
9
2003
The existence of complex transmission eigenvalues for spherically stratified media. Zbl 1360.35123
Colton, David; Leung, Yuk-J.
8
2017
Constructive methods for solving the exterior Neumann problem for the reduced wave equation in a spherically symmetric medium. Zbl 0341.35034
Colton, David; Wendland, Wolfgang
8
1976
A linear sampling method for the detection of leukemia using microwaves. Zbl 0907.92014
Colton, David; Monk, Peter
8
1998
The simple method for solving the electromagnetic inverse scattering problem: the case of TE polarized waves. Zbl 0917.35158
Colton, David; Piana, Michele
8
1998
The inverse scattering problem for a cylinder. Zbl 0415.35081
Colton, David
8
1979
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
8
1980
Combined far-field operators in electromagnetic inverse scattering theory. Zbl 1069.35091
Cakoni, Fioralba; Colton, David
8
2003
Integral operators and reflection principles for parabolic equations in one space variable. Zbl 0277.35060
Colton, David
8
1974
A contribution to the analytic theory of partial differential equations. Zbl 0165.12102
Colton, D.
7
1969
Singularities of solutions to elliptic partial differential equations with analytic coefficients. Zbl 0165.44402
Colton, D.; Gilbert, R. P.
7
1968
Using eigenvalues to detect anomalies in the exterior of a cavity. Zbl 1400.78015
Cogar, S.; Colton, D.; Monk, P.
7
2018
Runge’s theorem and far field patterns for the impedance boundary value problem in acoustic wave propagation. Zbl 0534.76083
Colton, David
7
1982
Stable methods for solving the inverse scattering problem for a cylinder. Zbl 0474.35084
Colton, David; Kirsch, Andreas
6
1981
Far field patterns of the impedance boundary value problem in acoustic scattering. Zbl 0533.76083
Colton, David
6
1983
The inverse electromagnetic scattering problem for an anisotropic medium. Zbl 0967.78006
Colton, David; Potthast, Roland
6
1999
The approximation of solutions to initial boundary value problems for parabolic equations in one space variable. Zbl 0317.35048
Colton, David
6
1976
Partial differential equations in the complex domain. Zbl 0323.35003
Colton, D. L.
6
1976
The approximation of solutions to the backwards heat equation in a nonhomogeneous medium. Zbl 0425.35061
Colton, David
6
1979
An approximation property of importance in inverse scattering theory. Zbl 0992.35115
Colton, David; Sleeman, Brian D.
6
2001
Bergman operators for elliptic equations in three independent variables. Zbl 0218.35019
Colton, D.
6
1971
Partial differential equations: An introduction. Zbl 0677.35001
Colton, David L.
6
1988
The determination of boundary coefficients from far field measurements. Zbl 1204.78013
Cakoni, Fioralba; Colton, David; Monk, Peter
6
2010
Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134
Colton, David; Kress, Rainer
6
1995
A duality between scattering poles and transmission eigenvalues in scattering theory. Zbl 1472.35229
Cakoni, Fioralba; Colton, David; Haddar, Houssem
1
2020
Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001
Colton, David; Kress, Rainer
73
2019
Eigenvalue problems in inverse electromagnetic scattering theory. Zbl 1445.78004
Cogar, Samuel; Colton, David; Monk, Peter
5
2019
Looking back on inverse scattering theory. Zbl 1402.35090
Colton, David; Kress, Rainer
16
2018
Using eigenvalues to detect anomalies in the exterior of a cavity. Zbl 1400.78015
Cogar, S.; Colton, D.; Monk, P.
7
2018
Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305
Cogar, S.; Colton, D.; Meng, S.; Monk, P.
15
2017
The existence of complex transmission eigenvalues for spherically stratified media. Zbl 1360.35123
Colton, David; Leung, Yuk-J.
8
2017
The inverse spectral problem for transmission eigenvalues. Zbl 1372.35361
Cogar, Samuel; Colton, David; Leung, Yuk-J
4
2017
Peter Monk and inverse scattering theory. Zbl 1397.35002
Colton, David
1
2017
Inverse scattering theory and transmission eigenvalues. Zbl 1366.35001
Cakoni, Fioralba; Colton, David; Haddar, Houssem
73
2016
Stekloff eigenvalues in inverse scattering. Zbl 1346.35228
Cakoni, F.; Colton, D.; Meng, S.; Monk, P.
37
2016
The linear sampling method for sparse small aperture data. Zbl 1351.65070
Guo, Y.; Monk, P.; Colton, D.
10
2016
On a transmission eigenvalue problem for a spherically stratified coated dielectric. Zbl 1352.31003
Colton, David; Leung, Yuk-J.
1
2016
The Born transmission eigenvalue problem. Zbl 1366.78018
Cakoni, Fioralba; Colton, David; Rezac, Jacob D.
1
2016
Distribution of complex transmission eigenvalues for spherically stratified media. Zbl 1332.34135
Colton, David; Leung, Yuk-J; Meng, Shixu
21
2015
A qualitative approach to inverse scattering theory. Zbl 1302.35001
Cakoni, Fioralba; Colton, David
71
2014
The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524
Cakoni, Fioralba; Colton, David; Meng, Shixu
19
2014
Spectral properties of the exterior transmission eigenvalue problem. Zbl 1318.65075
Colton, David; Meng, Shixu
5
2014
The inverse spectral problem for exterior transmission eigenvalues. Zbl 1301.35076
Colton, David; Leung, Y. J.; Meng, Shixu
3
2014
Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121
Colton, David; Kress, Rainer
367
2013
Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003
Colton, David; Kress, Rainer
73
2013
Complex eigenvalues and the inverse spectral problem for transmission eigenvalues. Zbl 1305.34027
Colton, David; Leung, Yuk-J
28
2013
Toward a time domain approach to the linear sampling method. Zbl 1291.65293
Guo, Y.; Monk, P.; Colton, D.
16
2013
The inverse scattering problem for cavities. Zbl 1241.78027
Qin, Hai-Hua; Colton, David
27
2012
The inverse scattering problem for cavities with impedance boundary condition. Zbl 1238.35189
Qin, Hai-Hua; Colton, David
26
2012
Complex transmission eigenvalues for spherically stratified media. Zbl 1260.47012
Leung, Yuk-J; Colton, David
20
2012
The interior transmission eigenvalue problem for absorbing media. Zbl 1298.78019
Cakoni, Fioralba; Colton, David; Haddar, Houssem
11
2012
The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001
Cakoni, Fioralba; Colton, David; Monk, Peter
60
2011
Inverse scattering. Zbl 1259.35003
Colton, David; Kress, Rainer
4
2011
Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024
Colton, David; Monk, Peter; Sun, Jiguang
56
2010
On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204
Cakoni, Fioralba; Colton, David; Haddar, Houssem
55
2010
The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314
Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang
47
2010
The interior transmission eigenvalue problem. Zbl 1219.35352
Cakoni, Fioralba; Colton, David; Gintides, Drossos
30
2010
The interior transmission problem for regions with cavities. Zbl 1209.35135
Cakoni, Fioralba; Colton, David; Haddar, Houssem
23
2010
The determination of boundary coefficients from far field measurements. Zbl 1204.78013
Cakoni, Fioralba; Colton, David; Monk, Peter
6
2010
The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data. Zbl 1173.35722
Cakoni, Fioralba; Colton, David; Haddar, Houssem
9
2009
Thirty years and still counting. Zbl 1190.35005
Colton, David; Kress, Rainer
3
2009
Transmission eigenvalues and the nondestructive testing of dielectrics. Zbl 1157.35497
Cakoni, Fioralba; Çayören, Mehmet; Colton, David
27
2008
The interior transmission problem. Zbl 1130.35132
Colton, David; Päivärinta, Lassi; Sylvester, John
69
2007
On the use of transmission eigenvalues to estimate the index of refraction from far field data. Zbl 1115.78008
Cakoni, Fioralba; Colton, David; Monk, Peter
36
2007
The inverse electromagnetic scattering problem for a partially coated dielectric. Zbl 1222.78024
Cakoni, Fioralba; Colton, David; Monk, Peter
4
2007
Inequalities in inverse scattering theory. Zbl 1387.35614
Cakoni, F.; Colton, D.
3
2007
Qualitative methods in inverse scattering theory. An introduction. Zbl 1099.78008
Cakoni, Fioralba; Colton, David
127
2006
Using fundamental solutions in inverse scattering. Zbl 1099.35168
Colton, David; Kress, Rainer
23
2006
Target identification of buried coated objects. Zbl 1182.35229
Cakoni, Fioralba; Colton, David
1
2006
An application of the reciprocity gap functional to inverse scattering theory. Zbl 1086.35129
Colton, David; Haddar, Houssem
28
2005
Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003
Cakoni, F.; Colton, D.
25
2005
The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007
Cakoni, Fioralba; Colton, David; Monk, Peter
18
2005
The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021
Cakoni, Fioralba; Colton, David; Monk, Peter
25
2004
The determination of the surface impedance of a partially coated obstacle from far field data. Zbl 1059.35163
Cakoni, Fioralba; Colton, David
24
2004
Partial differential equations. An introduction. Corrected reprint of the 1988 original. Zbl 1099.35001
Colton, David
2
2004
The linear sampling method for cracks. Zbl 1171.35487
Cakoni, Fioralba; Colton, David
52
2003
The linear sampling method in inverse electromagnetic scattering theory. Zbl 1049.78010
Colton, David; Haddar, Houssem; Piana, Michele
36
2003
Inverse acoustic and electromagnetic scattering theory. Zbl 1081.78013
Colton, David
20
2003
A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013
Cakoni, Fioralba; Colton, David
19
2003
On the mathematical basis of the linear sampling method. Zbl 1054.35123
Cakoni, Fioralba; Colton, David
9
2003
Combined far-field operators in electromagnetic inverse scattering theory. Zbl 1069.35091
Cakoni, Fioralba; Colton, David
8
2003
The inverse electromagnetic scattering problem for screens. Zbl 1142.78310
Cakoni, Fioralba; Colton, David; Darrigrand, Eric
4
2003
Herglotz wave functions in inverse electromagnetic scattering theory. Zbl 1042.78007
Colton, David; Monk, Peter
2
2003
The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008
Colton, David; Haddar, Houssem; Monk, Peter
28
2002
The linear sampling method for anisotropic media. Zbl 1019.78003
Cakoni, Fioralba; Colton, David; Haddar, Houssem
20
2002
The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122
Cakoni, Fioralba; Colton, David; Monk, Peter
34
2001
On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034
Colton, David; Kress, Rainer
15
2001
An approximation property of importance in inverse scattering theory. Zbl 0992.35115
Colton, David; Sleeman, Brian D.
6
2001
Inequalities for inverse scattering problems in absorbing media. Zbl 0991.35106
Colton, David; Piana, Michele
2
2001
Recent developments in inverse acoustic scattering theory. Zbl 0960.76081
Colton, David; Coyle, Joe; Monk, Peter
82
2000
A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172
Colton, David; Giebermann, Klaus; Monk, Peter
19
2000
Surveys on solution methods for inverse problems. Zbl 0948.00011
4
2000
Transmission eigenvalues and a problem of Hans Lewy. Zbl 0957.65093
Colton, David; Päivärinta, Lassi
3
2000
Introduction to: Surveys on solution methods for inverse problems. Zbl 0963.01010
Colton, D.; Engl, H. W.; Louis, A. K.; McLaughlin, J. R.; Rundell, W.
2
2000
The linear sampling method in inverse scattering theory. Zbl 0968.35132
Colton, David; Kirsch, Andreas; Monk, Peter
2
2000
The inverse electromagnetic scattering problem for an anisotropic medium. Zbl 0967.78006
Colton, David; Potthast, Roland
6
1999
A linear sampling method for the detection of leukemia using microwaves. II. Zbl 1069.92511
Colton, David; Monk, Peter
3
1999
Inverse acoustic and electromagnetic scattering theory. 2nd ed. Zbl 0893.35138
Colton, David; Kress, Rainer
677
1998
A linear sampling method for the detection of leukemia using microwaves. Zbl 0907.92014
Colton, David; Monk, Peter
8
1998
The simple method for solving the electromagnetic inverse scattering problem: the case of TE polarized waves. Zbl 0917.35158
Colton, David; Piana, Michele
8
1998
A simple method for solving electromagnetic inverse scattering problems. Zbl 1050.78506
Colton, David L.
3
1998
Recent progress on the inverse electromagnetic scattering problem for anisotropic media. Zbl 0963.78020
Colton, David L.
1
1998
A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123
Colton, David; Piana, Michele; Potthast, Roland
65
1997
An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121
Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William
51
1997
Inverse scattering from an orthotropic medium. Zbl 0885.35143
Colton, David; Kress, Rainer; Monk, Peter
13
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
A brief introduction to inverse scattering theory. Zbl 0898.35113
Colton, D.
2
1997
A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133
Colton, David; Kirsch, Andreas
177
1996
Spectral theory of the magnetic far field operator in an orthotropic medium. Zbl 0886.35167
Colton, David; Erbe, Claudia
2
1996
Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium. Zbl 0839.35094
Colton, David; Kress, Rainer
11
1995
Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134
Colton, David; Kress, Rainer
6
1995
The detection and monitoring of leukemia using electromagnetic waves: Numerical analysis. Zbl 0821.35144
Colton, David; Monk, Peter
5
1995
The detection and monitoring of leukemia using electromagnetic waves: Mathematical theory. Zbl 0809.35153
Colton, David; Monk, Peter
3
1994
A modified dual space method for solving the electromagnetic inverse scattering problem for an infinite cylinder. Zbl 0804.35145
Colton, David; Monk, Peter
2
1994
Target signatures for imperfectly conducting obstacles at fixed frequency. Zbl 0808.35149
Colton, David; Kirsch, Andreas
1
1994
On a class of integral equations of the first kind in inverse scattering theory. Zbl 0789.35170
Colton, David; Monk, Peter
5
1993
Modified far field operators in inverse scattering theory. Zbl 0781.35070
Colton, David; Hähner, Peter
1
1993
Inverse acoustic and electromagnetic scattering theory. Zbl 0760.35053
Colton, David; Kress, Rainer
292
1992
The uniqueness of a solution to an inverse scattering problem for electromagnetic waves. Zbl 0756.35114
Colton, David; Päivärinta, Lassi
29
1992
A comparison of two methods for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium. Zbl 0768.73017
Colton, David; Monk, Peter
2
1992
An approximation problem in inverse scattering theory. Zbl 0798.35155
Colton, David; Kirsch, Andreas
3
1991
The inverse scattering problem for time harmonic electromagnetic waves. Zbl 0737.65101
Colton, D.; Monk, P.
1
1991
Time harmonic electromagnetic waves in an inhomogeneous medium. Zbl 0729.35097
Colton, David; Kress, Rainer
3
1990
A new method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium. II. Zbl 0738.35098
Colton, David; Monk, Peter
3
1990
...and 96 more Documents
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Cited by 2,399 Authors

72 Colton, David Lem
56 Liu, Hongyu
42 Cakoni, Fioralba
42 Kress, Rainer
37 Yan, Guozheng
33 Haddar, Houssem
32 Li, Peijun
27 Ammari, Habib M.
27 Hu, Guanghui
26 Monk, Peter B.
26 Nicholls, David P.
26 Sini, Mourad
26 Sun, Jiguang
26 Zhang, Bo
23 Athanasiadis, Christodoulos E.
23 Bao, Gang
23 Potthast, Roland W. E.
22 Liu, Jijun
21 Guo, Yukun
21 Klibanov, Michael V.
20 Chandler-Wilde, Simon N.
20 Li, Jingzhi
20 Liu, Xiaodong
20 Ma, Fuming
20 Rapún, María-Luisa
19 Greengard, Leslie F.
18 Ganesh, Mahadevan
18 Kirsch, Andreas
18 Kleefeld, Andreas
17 Eremin, Yuri A.
17 Ji, Xia
17 Yang, Yidu
16 Gilbert, Robert Pertsch
16 Guo, Jun
16 Hiptmair, Ralf
16 Nguyen, Dinh Liem
16 Nguyen, Hoai-Minh
16 Zou, Jun
15 Barnett, Alex H.
15 Bruno, Oscar P.
14 Bi, Hai
14 Deng, Youjun
14 Nakamura, Gen
14 Pelekanos, George
14 Rundell, William
14 Wang, Haibing
14 Yang, Chuanfu
13 Bonnet, Marc
13 Griesmaier, Roland
13 Lassas, Matti J.
13 Le Louër, Frédérique
13 Lee, Kuo-Ming
13 Lesnic, Daniel
13 Setukha, Alexey V.
13 Stratis, Ioannis G.
13 Zhang, Deyue
13 Zhang, Haiwen
12 Antoine, Xavier
12 Hawkins, Stuart Collin
12 Johansson, B. Tomas
12 Krutitskii, Pavel A.
12 Lechleiter, Armin
12 Park, Won-Kwang
12 Qu, Fenglong
12 Yang, Jiaqing
11 Desmet, Wim
11 Diao, Huaian
11 Han, Jiayu
11 Harris, Isaac
11 Maponi, Pierluigi
11 Mitrea, Marius
11 Nguyen, Loc Hoang
11 Sayas, Francisco-Javier
11 Sevroglou, Vassilios
11 Uhlmann, Gunther Alberto
11 Wang, Xianchao
11 Xu, Liwei
10 Arens, Tilo
10 Boubendir, Yassine
10 Dassios, George
10 Djellouli, Rabia
10 Guzina, Bojan B.
10 Kravchenko, Vladislav V.
10 Leem, Koung Hee
10 Moskow, Shari
10 Natroshvili, David
10 Onofrei, Daniel
10 Päivärinta, Lassi
10 Smirnov, Yury G.
10 Turc, Catalin
10 Xu, Yongzhi S.
9 Barucq, Hélène
9 Claeys, Xavier
9 Darbas, Marion
9 Helsing, Johan
9 Hohage, Thorsten
9 Meng, Shixu
9 O’Neil, Michael
9 Spence, Euan A.
9 Xu, Xiaochuan
...and 2,299 more Authors
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Cited in 296 Serials

154 Journal of Computational Physics
117 Inverse Problems
103 Mathematical Methods in the Applied Sciences
100 Applicable Analysis
89 Journal of Mathematical Analysis and Applications
83 Journal of Computational and Applied Mathematics
73 Inverse Problems and Imaging
59 SIAM Journal on Applied Mathematics
57 Inverse Problems in Science and Engineering
56 Computers & Mathematics with Applications
46 Computer Methods in Applied Mechanics and Engineering
45 Applied Numerical Mathematics
42 Journal of Differential Equations
40 Wave Motion
39 Applied Mathematics and Computation
38 Journal of Integral Equations and Applications
37 Engineering Analysis with Boundary Elements
34 SIAM Journal on Mathematical Analysis
34 Differential Equations
33 SIAM Journal on Imaging Sciences
31 Numerische Mathematik
31 Journal of Scientific Computing
31 SIAM Journal on Scientific Computing
31 Journal of Inverse and Ill-Posed Problems
28 Advances in Computational Mathematics
24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
20 Journal of Mathematical Physics
19 Mathematics and Computers in Simulation
19 Computational Mathematics and Mathematical Physics
18 Mathematics of Computation
17 Integral Equations and Operator Theory
16 BIT
16 Journal de Mathématiques Pures et Appliquées. Neuvième Série
15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
14 Archive for Rational Mechanics and Analysis
14 Communications on Pure and Applied Mathematics
14 Communications in Partial Differential Equations
14 Communications in Computational Physics
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 SIAM Journal on Numerical Analysis
13 Applied Mathematics Letters
13 Research in the Mathematical Sciences
12 Science China. Mathematics
11 Journal of Engineering Mathematics
11 International Journal for Numerical Methods in Engineering
11 Journal of Functional Analysis
11 Quarterly of Applied Mathematics
11 Numerical Algorithms
11 International Journal of Computer Mathematics
11 Lobachevskii Journal of Mathematics
10 Communications in Mathematical Physics
10 Numerical Functional Analysis and Optimization
10 Proceedings of the American Mathematical Society
10 Multiscale Modeling & Simulation
10 Journal of Computational Acoustics
10 Complex Variables and Elliptic Equations
10 Electronic Research Archive
9 International Journal of Engineering Science
9 Computing
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Mathematical Problems in Engineering
9 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
8 Ukrainian Mathematical Journal
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Proceedings of the Edinburgh Mathematical Society. Series II
8 SIAM Journal on Control and Optimization
8 Transactions of the American Mathematical Society
8 Acta Mathematicae Applicatae Sinica. English Series
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 SN Partial Differential Equations and Applications
7 Mathematische Nachrichten
7 Numerical Methods for Partial Differential Equations
7 Applied Mathematical Modelling
7 Journal of Mathematical Sciences (New York)
7 Abstract and Applied Analysis
7 Advances in Mathematical Physics
6 Computer Physics Communications
6 Journal of Approximation Theory
6 Results in Mathematics
6 Computational Mechanics
6 Mathematical and Computer Modelling
6 Journal of Elasticity
6 Russian Mathematics
6 Computational and Applied Mathematics
6 Boundary Value Problems
5 Reports on Mathematical Physics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Automatica
5 Duke Mathematical Journal
5 Moscow University Computational Mathematics and Cybernetics
5 Applied Mathematics and Mechanics. (English Edition)
5 Acta Applicandae Mathematicae
5 Japan Journal of Industrial and Applied Mathematics
5 Georgian Mathematical Journal
5 Advances in Applied Clifford Algebras
5 Mathematics and Mechanics of Solids
5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
5 Archives of Computational Methods in Engineering
5 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki
...and 196 more Serials
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Cited in 48 Fields

1,710 Partial differential equations (35-XX)
1,038 Numerical analysis (65-XX)
847 Optics, electromagnetic theory (78-XX)
375 Fluid mechanics (76-XX)
276 Mechanics of deformable solids (74-XX)
250 Integral equations (45-XX)
111 Operator theory (47-XX)
102 Potential theory (31-XX)
87 Ordinary differential equations (34-XX)
78 Calculus of variations and optimal control; optimization (49-XX)
61 Biology and other natural sciences (92-XX)
47 Information and communication theory, circuits (94-XX)
46 Quantum theory (81-XX)
40 Geophysics (86-XX)
32 Functions of a complex variable (30-XX)
32 Approximations and expansions (41-XX)
29 Statistics (62-XX)
29 Systems theory; control (93-XX)
26 Global analysis, analysis on manifolds (58-XX)
23 Special functions (33-XX)
23 Integral transforms, operational calculus (44-XX)
23 Functional analysis (46-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
22 Classical thermodynamics, heat transfer (80-XX)
22 Statistical mechanics, structure of matter (82-XX)
21 Computer science (68-XX)
16 Probability theory and stochastic processes (60-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
12 Operations research, mathematical programming (90-XX)
9 Dynamical systems and ergodic theory (37-XX)
6 Real functions (26-XX)
6 Measure and integration (28-XX)
3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Geometry (51-XX)
3 Astronomy and astrophysics (85-XX)
2 Number theory (11-XX)
2 Mechanics of particles and systems (70-XX)
2 Relativity and gravitational theory (83-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Algebraic geometry (14-XX)
1 Group theory and generalizations (20-XX)
1 Difference and functional equations (39-XX)
1 Differential geometry (53-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematics education (97-XX)

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