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Colton, David Lem

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Author ID: colton.david-l Recent zbMATH articles by "Colton, David Lem"
Published as: Colton, D.; Colton, D. L.; Colton, David; Colton, David L.
Homepage: http://www.math.udel.edu/~colton/
External Links: MGP
Documents Indexed: 252 Publications since 1968, including 23 Books
Biographic References: 1 Publication
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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 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 Interaction of Mechanics and Mathematics

Publications by Year

Citations contained in zbMATH Open

196 Publications have been cited 4,227 times in 2,264 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
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
301
2013
A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133
Colton, David; Kirsch, Andreas
153
1996
Qualitative methods in inverse scattering theory. An introduction. Zbl 1099.78008
Cakoni, Fioralba; Colton, David
109
2006
Recent developments in inverse acoustic scattering theory. Zbl 0960.76081
Colton, David; Coyle, Joe; Monk, Peter
73
2000
The interior transmission problem. Zbl 1130.35132
Colton, David; Päivärinta, Lassi; Sylvester, John
62
2007
A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123
Colton, David; Piana, Michele; Potthast, Roland
58
1997
Pseudoparabolic equations in one space variable. Zbl 0231.35038
Colton, David L.
58
1972
A qualitative approach to inverse scattering theory. Zbl 1302.35001
Cakoni, Fioralba; Colton, David
57
2014
The inverse scattering problem for time-harmonic acoustic waves in an inhomogeneous medium. Zbl 0637.73026
Colton, David; Monk, Peter
57
1988
The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001
Cakoni, Fioralba; Colton, David; Monk, Peter
49
2011
An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121
Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William
49
1997
Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003
Colton, David; Kress, Rainer
46
2013
Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024
Colton, David; Monk, Peter; Sun, Jiguang
44
2010
On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204
Cakoni, Fioralba; Colton, David; Haddar, Houssem
44
2010
The linear sampling method for cracks. Zbl 1171.35487
Cakoni, Fioralba; Colton, David
43
2003
Inverse scattering theory and transmission eigenvalues. Zbl 1366.35001
Cakoni, Fioralba; Colton, David; Haddar, Houssem
38
2016
The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314
Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang
38
2010
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
35
2007
The linear sampling method in inverse electromagnetic scattering theory. Zbl 1049.78010
Colton, David; Haddar, Houssem; Piana, Michele
35
2003
Far-field patterns for acoustic waves in an inhomogeneous medium. Zbl 0681.76084
Colton, David; Kirsch, Andreas; Päivärinta, Lassi
34
1989
Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086
Colton, David; Sleeman, B. D.
34
1983
The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122
Cakoni, Fioralba; Colton, David; Monk, Peter
32
2001
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
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
The uniqueness of a solution to an inverse scattering problem for electromagnetic waves. Zbl 0756.35114
Colton, David; Päivärinta, Lassi
28
1992
An application of the reciprocity gap functional to inverse scattering theory. Zbl 1086.35129
Colton, David; Haddar, Houssem
27
2005
Transmission eigenvalues and the nondestructive testing of dielectrics. Zbl 1157.35497
Cakoni, Fioralba; Çayören, Mehmet; Colton, David
26
2008
The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008
Colton, David; Haddar, Houssem; Monk, Peter
26
2002
The interior transmission eigenvalue problem. Zbl 1219.35352
Cakoni, Fioralba; Colton, David; Gintides, Drossos
25
2010
The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021
Cakoni, Fioralba; Colton, David; Monk, Peter
25
2004
The inverse scattering problem for cavities. Zbl 1241.78027
Qin, Hai-Hua; Colton, David
23
2012
Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003
Cakoni, F.; Colton, D.
23
2005
Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001
Colton, David; Kress, Rainer
22
2019
The determination of the surface impedance of a partially coated obstacle from far field data. Zbl 1059.35163
Cakoni, Fioralba; Colton, David
22
2004
Analytic theory of partial differential equations. Zbl 0468.35001
Colton, David L.
22
1980
Complex eigenvalues and the inverse spectral problem for transmission eigenvalues. Zbl 1305.34027
Colton, David; Leung, Yuk-J
21
2013
The inverse scattering problem for cavities with impedance boundary condition. Zbl 1238.35189
Qin, Hai-Hua; Colton, David
21
2012
Using fundamental solutions in inverse scattering. Zbl 1099.35168
Colton, David; Kress, Rainer
21
2006
The numerical solution of the three-dimensional inverse scattering problem for time harmonic acoustic waves. Zbl 0623.65130
Colton, David; Monk, Peter
21
1987
The interior transmission problem for regions with cavities. Zbl 1209.35135
Cakoni, Fioralba; Colton, David; Haddar, Houssem
20
2010
Solution of boundary value problems by the method of integral operators. Zbl 0332.35001
Colton, D. L.
20
1976
Stekloff eigenvalues in inverse scattering. Zbl 1346.35228
Cakoni, F.; Colton, D.; Meng, S.; Monk, P.
18
2016
Inverse acoustic and electromagnetic scattering theory. Zbl 1081.78013
Colton, David
18
2003
A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013
Cakoni, Fioralba; Colton, David
18
2003
The linear sampling method for anisotropic media. Zbl 1019.78003
Cakoni, Fioralba; Colton, David; Haddar, Houssem
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
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
16
2005
Distribution of complex transmission eigenvalues for spherically stratified media. Zbl 1332.34135
Colton, David; Leung, Yuk-J; Meng, Shixu
15
2015
The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524
Cakoni, Fioralba; Colton, David; Meng, Shixu
15
2014
Complex transmission eigenvalues for spherically stratified media. Zbl 1260.47012
Leung, Yuk-J; Colton, David
15
2012
A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172
Colton, David; Giebermann, Klaus; Monk, Peter
15
2000
On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034
Colton, David; Kress, Rainer
14
2001
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
Integral operators and the first initial boundary value problem for pseudoparabolic equations with analytic coefficients. Zbl 0255.35050
Colton, David
14
1973
The inverse scattering problem for time-harmonic acoustic waves in a penetrable medium. Zbl 0619.35110
Colton, David; Monk, Peter
13
1987
Dense sets and far field patterns in acoustic wave propagation. Zbl 0572.76074
Colton, David; Kirsch, Andreas
13
1984
The direct and inverse scattering problems for an arbitrary cylinder: Dirichlet boundary conditions. Zbl 0439.35020
Colton, David; Kleinman, Ralph
13
1980
Partial differential equations: An introduction. Zbl 0677.35001
Colton, David L.
12
1988
Cauchy’s problem for a singular parabolic partial differential equation. Zbl 0199.16501
Colton, David
12
1970
Toward a time domain approach to the linear sampling method. Zbl 1291.65293
Guo, Y.; Monk, P.; Colton, D.
11
2013
The interior transmission eigenvalue problem for absorbing media. Zbl 1298.78019
Cakoni, Fioralba; Colton, David; Haddar, Houssem
11
2012
The three dimensional inverse scattering problem for acoustic waves. Zbl 0496.65069
Angell, T. S.; Colton, David; Kirsch, Andreas
11
1982
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
The solution of initial-boundary value problems for parabolic equations by the method of integral operators. Zbl 0407.35043
Colton, David
11
1977
On the mathematical basis of the linear sampling method. Zbl 1054.35123
Cakoni, Fioralba; Colton, David
10
2003
Inverse scattering from an orthotropic medium. Zbl 0885.35143
Colton, David; Kress, Rainer; Monk, Peter
10
1997
Analytic continuation of solutions to partial differential equations with applications to problems in scattering theory. Zbl 0536.35008
Colton, D. L.
10
1983
On the analytic theory of pseudoparabolic equations. Zbl 0232.35006
Colton, David
10
1972
Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium. Zbl 0839.35094
Colton, David; Kress, Rainer
9
1995
Looking back on inverse scattering theory. Zbl 1402.35090
Colton, David; Kress, Rainer
8
2018
Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305
Cogar, S.; Colton, D.; Meng, S.; Monk, P.
8
2017
The linear sampling method for sparse small aperture data. Zbl 1351.65070
Guo, Y.; Monk, P.; Colton, D.
8
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
8
2009
Combined far-field operators in electromagnetic inverse scattering theory. Zbl 1069.35091
Cakoni, Fioralba; Colton, David
8
2003
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 linear sampling method for the detection of leukemia using microwaves. Zbl 0907.92014
Colton, David; Monk, Peter
8
1998
The inverse scattering problem for a cylinder. Zbl 0415.35081
Colton, David
8
1979
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
Integral operators and reflection principles for parabolic equations in one space variable. Zbl 0277.35060
Colton, David
8
1974
Inverse problems in partial differential equations. Proceedings of a conference which was part of the summer research conferences in the mathematical sciences, Humboldt State University, Arcata, California (USA), July 29-August 4, 1989. Zbl 0695.00017
Colton, David (ed.); Ewing, Richard (ed.); Rundell, William (ed.)
7
1990
Runge’s theorem and far field patterns for the impedance boundary value problem in acoustic wave propagation. Zbl 0534.76083
Colton, David
7
1982
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
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
An approximation property of importance in inverse scattering theory. Zbl 0992.35115
Colton, David; Sleeman, Brian D.
6
2001
The inverse electromagnetic scattering problem for an anisotropic medium. Zbl 0967.78006
Colton, David; Potthast, Roland
6
1999
Far field patterns of the impedance boundary value problem in acoustic scattering. Zbl 0533.76083
Colton, David
6
1983
Stable methods for solving the inverse scattering problem for a cylinder. Zbl 0474.35084
Colton, David; Kirsch, Andreas
6
1981
Partial differential equations in the complex domain. Zbl 0323.35003
Colton, D. L.
6
1976
The approximation of solutions to initial boundary value problems for parabolic equations in one space variable. Zbl 0317.35048
Colton, David
6
1976
Bergman operators for elliptic equations in three independent variables. Zbl 0218.35019
Colton, D.
6
1971
The determination of boundary coefficients from far field measurements. Zbl 1204.78013
Cakoni, Fioralba; Colton, David; Monk, Peter
5
2010
Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134
Colton, David; Kress, Rainer
5
1995
On a class of integral equations of the first kind in inverse scattering theory. Zbl 0789.35170
Colton, David; Monk, Peter
5
1993
The impedance boundary value problem for the time harmonic Maxwell equations. Zbl 0475.35029
Colton, David; Kress, Rainer
5
1981
Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001
Colton, David; Kress, Rainer
22
2019
Eigenvalue problems in inverse electromagnetic scattering theory. Zbl 1445.78004
Cogar, Samuel; Colton, David; Monk, Peter
2
2019
Looking back on inverse scattering theory. Zbl 1402.35090
Colton, David; Kress, Rainer
8
2018
Using eigenvalues to detect anomalies in the exterior of a cavity. Zbl 1400.78015
Cogar, S.; Colton, D.; Monk, P.
4
2018
Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305
Cogar, S.; Colton, D.; Meng, S.; Monk, P.
8
2017
The existence of complex transmission eigenvalues for spherically stratified media. Zbl 1360.35123
Colton, David; Leung, Yuk-J.
4
2017
The inverse spectral problem for transmission eigenvalues. Zbl 1372.35361
Cogar, Samuel; Colton, David; Leung, Yuk-J
2
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
38
2016
Stekloff eigenvalues in inverse scattering. Zbl 1346.35228
Cakoni, F.; Colton, D.; Meng, S.; Monk, P.
18
2016
The linear sampling method for sparse small aperture data. Zbl 1351.65070
Guo, Y.; Monk, P.; Colton, D.
8
2016
The Born transmission eigenvalue problem. Zbl 1366.78018
Cakoni, Fioralba; Colton, David; Rezac, Jacob D.
1
2016
On a transmission eigenvalue problem for a spherically stratified coated dielectric. Zbl 1352.31003
Colton, David; Leung, Yuk-J.
1
2016
Distribution of complex transmission eigenvalues for spherically stratified media. Zbl 1332.34135
Colton, David; Leung, Yuk-J; Meng, Shixu
15
2015
A qualitative approach to inverse scattering theory. Zbl 1302.35001
Cakoni, Fioralba; Colton, David
57
2014
The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524
Cakoni, Fioralba; Colton, David; Meng, Shixu
15
2014
Spectral properties of the exterior transmission eigenvalue problem. Zbl 1318.65075
Colton, David; Meng, Shixu
3
2014
The inverse spectral problem for exterior transmission eigenvalues. Zbl 1301.35076
Colton, David; Leung, Y. J.; Meng, Shixu
1
2014
Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121
Colton, David; Kress, Rainer
301
2013
Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003
Colton, David; Kress, Rainer
46
2013
Complex eigenvalues and the inverse spectral problem for transmission eigenvalues. Zbl 1305.34027
Colton, David; Leung, Yuk-J
21
2013
Toward a time domain approach to the linear sampling method. Zbl 1291.65293
Guo, Y.; Monk, P.; Colton, D.
11
2013
The inverse scattering problem for cavities. Zbl 1241.78027
Qin, Hai-Hua; Colton, David
23
2012
The inverse scattering problem for cavities with impedance boundary condition. Zbl 1238.35189
Qin, Hai-Hua; Colton, David
21
2012
Complex transmission eigenvalues for spherically stratified media. Zbl 1260.47012
Leung, Yuk-J; Colton, David
15
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
49
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
44
2010
On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204
Cakoni, Fioralba; Colton, David; Haddar, Houssem
44
2010
The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314
Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang
38
2010
The interior transmission eigenvalue problem. Zbl 1219.35352
Cakoni, Fioralba; Colton, David; Gintides, Drossos
25
2010
The interior transmission problem for regions with cavities. Zbl 1209.35135
Cakoni, Fioralba; Colton, David; Haddar, Houssem
20
2010
The determination of boundary coefficients from far field measurements. Zbl 1204.78013
Cakoni, Fioralba; Colton, David; Monk, Peter
5
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
8
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
26
2008
The interior transmission problem. Zbl 1130.35132
Colton, David; Päivärinta, Lassi; Sylvester, John
62
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
35
2007
Inequalities in inverse scattering theory. Zbl 1387.35614
Cakoni, F.; Colton, D.
3
2007
The inverse electromagnetic scattering problem for a partially coated dielectric. Zbl 1222.78024
Cakoni, Fioralba; Colton, David; Monk, Peter
3
2007
Qualitative methods in inverse scattering theory. An introduction. Zbl 1099.78008
Cakoni, Fioralba; Colton, David
109
2006
Using fundamental solutions in inverse scattering. Zbl 1099.35168
Colton, David; Kress, Rainer
21
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
27
2005
Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003
Cakoni, F.; Colton, D.
23
2005
The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007
Cakoni, Fioralba; Colton, David; Monk, Peter
16
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
22
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
43
2003
The linear sampling method in inverse electromagnetic scattering theory. Zbl 1049.78010
Colton, David; Haddar, Houssem; Piana, Michele
35
2003
Inverse acoustic and electromagnetic scattering theory. Zbl 1081.78013
Colton, David
18
2003
A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013
Cakoni, Fioralba; Colton, David
18
2003
On the mathematical basis of the linear sampling method. Zbl 1054.35123
Cakoni, Fioralba; Colton, David
10
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
26
2002
The linear sampling method for anisotropic media. Zbl 1019.78003
Cakoni, Fioralba; Colton, David; Haddar, Houssem
18
2002
The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122
Cakoni, Fioralba; Colton, David; Monk, Peter
32
2001
On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034
Colton, David; Kress, Rainer
14
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
73
2000
A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172
Colton, David; Giebermann, Klaus; Monk, Peter
15
2000
Surveys on solution methods for inverse problems. Zbl 0948.00011
Colton, David (ed.); Engl, Heinz W. (ed.); Louis, Alfred K. (ed.); McLaughlin, Joyce R. (ed.); Rundell, William (ed.)
4
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.
3
2000
Transmission eigenvalues and a problem of Hans Lewy. Zbl 0957.65093
Colton, David; Päivärinta, Lassi
3
2000
The linear sampling method in inverse scattering theory. Zbl 0968.35132
Colton, David; Kirsch, Andreas; Monk, Peter
1
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
2
1999
Inverse acoustic and electromagnetic scattering theory. 2nd ed. Zbl 0893.35138
Colton, David; Kress, Rainer
626
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 linear sampling method for the detection of leukemia using microwaves. Zbl 0907.92014
Colton, David; Monk, Peter
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
58
1997
An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121
Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William
49
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
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
153
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
9
1995
Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134
Colton, David; Kress, Rainer
5
1995
The detection and monitoring of leukemia using electromagnetic waves: Numerical analysis. Zbl 0821.35144
Colton, David; Monk, Peter
2
1995
The detection and monitoring of leukemia using electromagnetic waves: Mathematical theory. Zbl 0809.35153
Colton, David; Monk, Peter
2
1994
A modified dual space method for solving the electromagnetic inverse scattering problem for an infinite cylinder. Zbl 0804.35145
Colton, David; Monk, Peter
1
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
334
1992
The uniqueness of a solution to an inverse scattering problem for electromagnetic waves. Zbl 0756.35114
Colton, David; Päivärinta, Lassi
28
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
1
1992
An approximation problem in inverse scattering theory. Zbl 0798.35155
Colton, David; Kirsch, Andreas
4
1991
The inverse scattering problem for time harmonic electromagnetic waves. Zbl 0737.65101
Colton, D.; Monk, P.
1
1991
Inverse problems in partial differential equations. Proceedings of a conference which was part of the summer research conferences in the mathematical sciences, Humboldt State University, Arcata, California (USA), July 29-August 4, 1989. Zbl 0695.00017
Colton, David (ed.); Ewing, Richard (ed.); Rundell, William (ed.)
7
1990
The inverse scattering problem for acoustic waves in an inhomogeneous medium. Zbl 0705.35152
Colton, David; Monk, Peter
3
1990
Time harmonic electromagnetic waves in an inhomogeneous medium. Zbl 0729.35097
Colton, David; Kress, Rainer
2
1990
...and 96 more Documents
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Cited by 2,302 Authors

72 Colton, David Lem
41 Kress, Rainer
40 Liu, Hongyu
36 Cakoni, Fioralba
31 Haddar, Houssem
31 Yan, Guozheng
27 Ammari, Habib M.
25 Hu, Guanghui
24 Nicholls, David P.
23 Athanasiadis, Christodoulos E.
23 Liu, Jijun
23 Monk, Peter B.
23 Zhang, Bo
22 Sini, Mourad
21 Potthast, Roland W. E.
20 Greengard, Leslie F.
20 Liu, Xiaodong
20 Sun, Jiguang
19 Kirsch, Andreas
18 Bao, Gang
18 Chandler-Wilde, Simon N.
18 Gilbert, Robert Pertsch
18 Klibanov, Michael V.
18 Ma, Fuming
18 Rapún, María-Luisa
17 Guo, Yukun
17 Li, Jingzhi
17 Li, Peijun
15 Barnett, Alex H.
15 Bruno, Oscar P.
15 Eremin, Yuri A.
15 Ganesh, Mahadevan
15 Ji, Xia
15 Kleefeld, Andreas
14 Hiptmair, Ralf
14 Rundell, William
13 Bonnet, Marc
13 Djellouli, Rabia
13 Hawkins, Stuart Collin
13 Krutitskii, Pavel A.
13 Lesnic, Daniel
13 Nakamura, Gen
13 Nguyen, Dinh Liem
13 Nguyen, Hoai-Minh
13 Stratis, Ioannis G.
13 Yang, Chuanfu
13 Yang, Yidu
13 Zhang, Deyue
13 Zhang, Haiwen
12 Antoine, Xavier
12 Lassas, Matti
12 Le Louër, Frédérique
12 Lechleiter, Armin
12 Lee, Kuo-Ming
12 Sayas, Francisco-Javier
12 Wang, Haibing
12 Xu, Yongzhi S.
12 Zou, Jun
11 Boubendir, Yassine
11 Johansson, B. Tomas
11 Maponi, Pierluigi
11 Pelekanos, George
11 Setukha, Alexey V.
11 Sevroglou, Vassilios
10 Bi, Hai
10 Darbas, Marion
10 Dassios, George
10 Desmet, Wim
10 Griesmaier, Roland
10 Guo, Jun
10 Guzina, Bojan B.
10 Han, Jiayu
10 Mitrea, Marius
10 Nguyen, Loc Hoang
10 O’Neil, Michael
10 Päivärinta, Lassi
10 Park, Won-Kwang
10 Qu, Fenglong
10 Uhlmann, Gunther Alberto
9 Arens, Tilo
9 Barucq, Hélène
9 Buterin, Sergey Alexandrovich
9 Deng, Youjun
9 Moskow, Shari
9 Natroshvili, David
9 Turc, Catalin
9 Yang, Jiaqing
8 Pinheiro de Castro, Luís Filipe
8 Charalambopoulos, Antonios
8 Chen, Lung-Hui
8 Chesnel, Lucas
8 Collino, Francis
8 Darrigrand, Eric
8 Grote, Marcus J.
8 Hohage, Thorsten
8 Kapanadze, David
8 Kravchenko, Vladislav V.
8 Lai, Jun
8 Li, Peijun
8 McCoy, Peter A.
...and 2,202 more Authors
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Cited in 274 Serials

149 Journal of Computational Physics
103 Mathematical Methods in the Applied Sciences
96 Inverse Problems
94 Journal of Mathematical Analysis and Applications
93 Journal of Computational and Applied Mathematics
86 Applicable Analysis
55 Inverse Problems and Imaging
53 Computers & Mathematics with Applications
48 Applied Numerical Mathematics
47 SIAM Journal on Applied Mathematics
46 Computer Methods in Applied Mechanics and Engineering
41 Wave Motion
41 Applied Mathematics and Computation
40 Journal of Differential Equations
38 Journal of Integral Equations and Applications
36 Engineering Analysis with Boundary Elements
34 Inverse Problems in Science and Engineering
32 Differential Equations
30 SIAM Journal on Imaging Sciences
28 Journal of Inverse and Ill-Posed Problems
27 Journal of Scientific Computing
27 SIAM Journal on Mathematical Analysis
25 Numerische Mathematik
24 SIAM Journal on Scientific Computing
20 Journal of Mathematical Physics
20 Advances in Computational Mathematics
18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
17 Mathematics of Computation
17 Mathematics and Computers in Simulation
17 Journal de Mathématiques Pures et Appliquées. Neuvième Série
15 BIT
15 Integral Equations and Operator Theory
14 Communications on Pure and Applied Mathematics
14 Computational Mathematics and Mathematical Physics
14 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
13 Archive for Rational Mechanics and Analysis
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Applied Mathematics Letters
12 Communications in Partial Differential Equations
11 International Journal for Numerical Methods in Engineering
11 Quarterly of Applied Mathematics
10 Communications in Mathematical Physics
10 International Journal of Engineering Science
10 Journal of Engineering Mathematics
10 Numerical Functional Analysis and Optimization
10 Proceedings of the American Mathematical Society
10 SIAM Journal on Numerical Analysis
10 Journal of Computational Acoustics
10 Science China. Mathematics
9 Computing
9 Journal of Functional Analysis
9 Applied Mathematical Modelling
9 International Journal of Computer Mathematics
9 Mathematical Problems in Engineering
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Multiscale Modeling & Simulation
8 Ukrainian Mathematical Journal
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Proceedings of the Edinburgh Mathematical Society. Series II
8 Transactions of the American Mathematical Society
8 Acta Mathematicae Applicatae Sinica. English Series
8 Numerical Algorithms
8 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
7 Computer Physics Communications
7 Mathematische Nachrichten
7 Numerical Methods for Partial Differential Equations
7 Mathematical and Computer Modelling
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Complex Variables and Elliptic Equations
7 Advances in Mathematical Physics
6 Journal of Approximation Theory
6 Russian Mathematics
6 Journal of Mathematical Sciences (New York)
6 Abstract and Applied Analysis
6 Lobachevskii Journal of Mathematics
6 Nonlinear Analysis. Theory, Methods & Applications
6 Electronic Research Archive
5 Reports on Mathematical Physics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Automatica
5 Duke Mathematical Journal
5 Applied Mathematics and Mechanics. (English Edition)
5 Computational Mechanics
5 Japan Journal of Industrial and Applied Mathematics
5 Journal of Elasticity
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 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Acta Mechanica
4 Prikladnaya Matematika i Mekhanika
4 Results in Mathematics
4 SIAM Journal on Control and Optimization
4 Moscow University Computational Mathematics and Cybernetics
4 Zeitschrift für Analysis und ihre Anwendungen
4 Acta Applicandae Mathematicae
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Computational Mathematics and Modeling
...and 174 more Serials
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Cited in 48 Fields

1,515 Partial differential equations (35-XX)
903 Numerical analysis (65-XX)
761 Optics, electromagnetic theory (78-XX)
355 Fluid mechanics (76-XX)
244 Mechanics of deformable solids (74-XX)
226 Integral equations (45-XX)
101 Operator theory (47-XX)
88 Potential theory (31-XX)
83 Ordinary differential equations (34-XX)
66 Calculus of variations and optimal control; optimization (49-XX)
51 Biology and other natural sciences (92-XX)
43 Quantum theory (81-XX)
39 Geophysics (86-XX)
38 Information and communication theory, circuits (94-XX)
28 Functions of a complex variable (30-XX)
27 Approximations and expansions (41-XX)
26 Systems theory; control (93-XX)
22 Special functions (33-XX)
22 Functional analysis (46-XX)
22 Classical thermodynamics, heat transfer (80-XX)
21 Integral transforms, operational calculus (44-XX)
21 Global analysis, analysis on manifolds (58-XX)
20 Statistical mechanics, structure of matter (82-XX)
19 Computer science (68-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
18 Statistics (62-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
12 Probability theory and stochastic processes (60-XX)
9 Operations research, mathematical programming (90-XX)
8 Dynamical systems and ergodic theory (37-XX)
5 Real functions (26-XX)
3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Measure and integration (28-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Geometry (51-XX)
2 Number theory (11-XX)
2 Algebraic geometry (14-XX)
2 Mechanics of particles and systems (70-XX)
2 Relativity and gravitational theory (83-XX)
2 Astronomy and astrophysics (85-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-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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