Edit Profile (opens in new tab) Colton, David Lem Co-Author Distance Author ID: colton.david-l Published as: Colton, David; Colton, D.; Colton, David L.; Colton, D. L. more...less Homepage: http://www.math.udel.edu/~colton/ External Links: MGP Documents Indexed: 251 Publications since 1968, including 20 Books 4 Contributions as Editor Biographic References: 1 Publication Co-Authors: 42 Co-Authors with 167 Joint Publications 1,327 Co-Co-Authors all top 5 Co-Authors 87 single-authored 47 Monk, Peter B. 36 Cakoni, Fioralba 26 Kress, Rainer 13 Gilbert, Robert Pertsch 13 Kirsch, Andreas 12 Haddar, Houssem 7 Leung, Yuk J. 7 Päivärinta, Lassi 7 Wimp, Jet 6 Meng, Shixu 4 Cogar, Samuel 4 Piana, Michele 4 Rundell, William 3 Angell, Thomas S. 3 Sleeman, Brian David 2 Engl, Heinz W. 2 Giebermann, Klaus 2 Guo, Yukun 2 Kleinman, Ralph Ellis 2 Louis, Alfred Karl 2 McLaughlin, Joyce Rogers 2 Potthast, Roland W. E. 2 Qin, Haihua 2 Reemtsen, Rembert M. 2 Santosa, Fadil N. 2 Sun, Jiguang 2 Watzlawek, Wolfgang 1 Çayören, Mehmet 1 Chadan, Khosrow 1 Coyle, Joe 1 Darrigrand, Eric 1 Erbe, Claudia 1 Ewing, Richard Edward 1 Galardi, Andrew 1 Gintides, Drossos 1 Hähner, Peter 1 Kleefeld, Andreas 1 Kline, Bob 1 Rezac, Jacob D. 1 Stakgold, Ivar 1 Sylvester, John Herbert 1 Wendland, Wolfgang L. 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 CBMS-NSF Regional Conference Series in Applied Mathematics 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 Research Notes in Mathematics (San Francisco) 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 1 Berichte der Gesellschaft für Mathematik und Datenverarbeitung, Bonn all top 5 Fields 218 Partial differential equations (35-XX) 90 Optics, electromagnetic theory (78-XX) 36 Fluid mechanics (76-XX) 35 Numerical analysis (65-XX) 16 Integral equations (45-XX) 13 Mechanics of deformable solids (74-XX) 9 Operator theory (47-XX) 6 Potential theory (31-XX) 6 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Quantum theory (81-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 206 Publications have been cited 6,192 times in 3,316 Documents Cited by ▼ Year ▼ Inverse acoustic and electromagnetic scattering theory. 2nd ed. Zbl 0893.35138 Colton, David; Kress, Rainer 842 1998 Integral equation methods in scattering theory. Zbl 0522.35001 Colton, David; Kress, Rainer 729 1983 Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121 Colton, David; Kress, Rainer 518 2013 Inverse acoustic and electromagnetic scattering theory. Zbl 0760.35053 Colton, David; Kress, Rainer 333 1992 A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133 Colton, David; Kirsch, Andreas 237 1996 Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001 Colton, David; Kress, Rainer 214 2019 Qualitative methods in inverse scattering theory. An introduction. Zbl 1099.78008 Cakoni, Fioralba; Colton, David 166 2006 Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003 Colton, David; Kress, Rainer 134 2013 A qualitative approach to inverse scattering theory. Zbl 1302.35001 Cakoni, Fioralba; Colton, David 127 2014 Inverse scattering theory and transmission eigenvalues. Zbl 1366.35001 Cakoni, Fioralba; Colton, David; Haddar, Houssem 125 2016 Recent developments in inverse acoustic scattering theory. Zbl 0960.76081 Colton, David; Coyle, Joe; Monk, Peter 97 2000 The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001 Cakoni, Fioralba; Colton, David; Monk, Peter 89 2011 Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024 Colton, David; Monk, Peter; Sun, Jiguang 85 2010 The interior transmission problem. Zbl 1130.35132 Colton, David; Päivärinta, Lassi; Sylvester, John 81 2007 The inverse scattering problem for time-harmonic acoustic waves in an inhomogeneous medium. Zbl 0637.73026 Colton, David; Monk, Peter 78 1988 A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123 Colton, David; Piana, Michele; Potthast, Roland 77 1997 Pseudoparabolic equations in one space variable. Zbl 0231.35038 Colton, David L. 73 1972 On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204 Cakoni, Fioralba; Colton, David; Haddar, Houssem 69 2010 An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121 Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William 67 1997 The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314 Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang 67 2010 The linear sampling method for cracks. Zbl 1171.35487 Cakoni, Fioralba; Colton, David 59 2003 Stekloff eigenvalues in inverse scattering. Zbl 1346.35228 Cakoni, F.; Colton, D.; Meng, S.; Monk, P. 55 2016 The linear sampling method in inverse electromagnetic scattering theory. Zbl 1049.78010 Colton, David; Haddar, Houssem; Piana, Michele 50 2003 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 49 2007 Far-field patterns for acoustic waves in an inhomogeneous medium. Zbl 0681.76084 Colton, David; Kirsch, Andreas; Päivärinta, Lassi 43 1989 The interior transmission eigenvalue problem. Zbl 1219.35352 Cakoni, Fioralba; Colton, David; Gintides, Drossos 42 2010 Complex eigenvalues and the inverse spectral problem for transmission eigenvalues. Zbl 1305.34027 Colton, David; Leung, Yuk-J 40 2013 Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086 Colton, David; Sleeman, B. D. 40 1983 Transmission eigenvalues and the nondestructive testing of dielectrics. Zbl 1157.35497 Cakoni, Fioralba; Çayören, Mehmet; Colton, David 39 2008 The inverse scattering problem for cavities. Zbl 1241.78027 Qin, Hai-Hua; Colton, David 39 2012 The inverse scattering problem for cavities with impedance boundary condition. Zbl 1238.35189 Qin, Hai-Hua; Colton, David 39 2012 The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122 Cakoni, Fioralba; Colton, David; Monk, Peter 38 2001 An application of the reciprocity gap functional to inverse scattering theory. Zbl 1086.35129 Colton, David; Haddar, Houssem 36 2005 Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003 Cakoni, F.; Colton, D. 36 2005 Integral equation methods in scattering theory. (Metody integral’nykh uravnenij v teorii rasseyaniya). Transl. from the English. Zbl 0621.35002 Colton, David; Kress, Rainer 33 1987 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 33 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 32 1986 The uniqueness of a solution to an inverse scattering problem for electromagnetic waves. Zbl 0756.35114 Colton, David; Päivärinta, Lassi 32 1992 Distribution of complex transmission eigenvalues for spherically stratified media. Zbl 1332.34135 Colton, David; Leung, Yuk-J; Meng, Shixu 31 2015 The linear sampling method for anisotropic media. Zbl 1019.78003 Cakoni, Fioralba; Colton, David; Haddar, Houssem 31 2002 The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008 Colton, David; Haddar, Houssem; Monk, Peter 30 2002 Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305 Cogar, S.; Colton, D.; Meng, S.; Monk, P. 29 2017 The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021 Cakoni, Fioralba; Colton, David; Monk, Peter 28 2004 Looking back on inverse scattering theory. Zbl 1402.35090 Colton, David; Kress, Rainer 27 2018 The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524 Cakoni, Fioralba; Colton, David; Meng, Shixu 26 2014 The determination of the surface impedance of a partially coated obstacle from far field data. Zbl 1059.35163 Cakoni, Fioralba; Colton, David 26 2004 The interior transmission problem for regions with cavities. Zbl 1209.35135 Cakoni, Fioralba; Colton, David; Haddar, Houssem 25 2010 Using fundamental solutions in inverse scattering. Zbl 1099.35168 Colton, David; Kress, Rainer 25 2006 Solution of boundary value problems by the method of integral operators. Zbl 0332.35001 Colton, D. L. 25 1976 Toward a time domain approach to the linear sampling method. Zbl 1291.65293 Guo, Y.; Monk, P.; Colton, D. 24 2013 A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172 Colton, David; Giebermann, Klaus; Monk, Peter 24 2000 Complex transmission eigenvalues for spherically stratified media. Zbl 1260.47012 Leung, Yuk-J; Colton, David 24 2012 The numerical solution of the three-dimensional inverse scattering problem for time harmonic acoustic waves. Zbl 0623.65130 Colton, David; Monk, Peter 22 1987 A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013 Cakoni, Fioralba; Colton, David 22 2003 The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007 Cakoni, Fioralba; Colton, David; Monk, Peter 21 2005 On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034 Colton, David; Kress, Rainer 20 2001 The inverse scattering problem for time-harmonic acoustic waves. Zbl 0553.35087 Colton, David 19 1984 Inverse scattering from an orthotropic medium. Zbl 0885.35143 Colton, David; Kress, Rainer; Monk, Peter 18 1997 The numerical solution of the inverse Stefan problem in two space variables. Zbl 0576.65125 Colton, David; Reemtsen, Rembert 18 1984 Asymptotic behaviour of the fundamental solution to the equation of heat conduction in two temperatures. Zbl 0409.35050 Colton, David; Wimp, Jet 18 1979 The inverse scattering problem for time-harmonic acoustic waves in a penetrable medium. Zbl 0619.35110 Colton, David; Monk, Peter 15 1987 The linear sampling method for sparse small aperture data. Zbl 1351.65070 Guo, Y.; Monk, P.; Colton, D. 15 2016 On the analytic theory of pseudoparabolic equations. Zbl 0232.35006 Colton, David 15 1972 Analytic theory of partial differential equations. Zbl 0468.35001 Colton, David L. 15 1980 Integral operators and the first initial boundary value problem for pseudoparabolic equations with analytic coefficients. Zbl 0255.35050 Colton, David 15 1973 Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium. Zbl 0839.35094 Colton, David; Kress, Rainer 14 1995 The direct and inverse scattering problems for an arbitrary cylinder: Dirichlet boundary conditions. Zbl 0439.35020 Colton, David; Kleinman, Ralph 14 1980 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 14 2009 The solution of initial-boundary value problems for parabolic equations by the method of integral operators. Zbl 0407.35043 Colton, David 14 1977 The interior transmission eigenvalue problem for absorbing media. Zbl 1298.78019 Cakoni, Fioralba; Colton, David; Haddar, Houssem 14 2012 Inverse acoustic and electromagnetic scattering theory. Zbl 1081.78013 Colton, David 14 2003 Dense sets and far field patterns in acoustic wave propagation. Zbl 0572.76074 Colton, David; Kirsch, Andreas 13 1984 The existence of complex transmission eigenvalues for spherically stratified media. Zbl 1360.35123 Colton, David; Leung, Yuk-J. 13 2017 Cauchy’s problem for a singular parabolic partial differential equation. Zbl 0199.16501 Colton, David 13 1970 Partial differential equations. An introduction. Zbl 0677.35001 Colton, David L. 12 1988 The three dimensional inverse scattering problem for acoustic waves. Zbl 0496.65069 Angell, T. S.; Colton, David; Kirsch, Andreas 12 1982 Eigenvalue problems in inverse electromagnetic scattering theory. Zbl 1445.78004 Cogar, Samuel; Colton, David; Monk, Peter 11 2019 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 Inverse scattering theory and transmission eigenvalues. 2nd edition. Zbl 1507.35002 Cakoni, Fioralba; Colton, David; Haddar, Houssem 11 2023 Analytic continuation of solutions to partial differential equations with applications to problems in scattering theory. Zbl 0536.35008 Colton, D. L. 10 1983 Using eigenvalues to detect anomalies in the exterior of a cavity. Zbl 1400.78015 Cogar, S.; Colton, D.; Monk, P. 10 2018 On the mathematical basis of the linear sampling method. Zbl 1054.35123 Cakoni, Fioralba; Colton, David 10 2003 A linear sampling method for the detection of leukemia using microwaves. Zbl 0907.92014 Colton, David; Monk, Peter 10 1998 Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134 Colton, David; Kress, Rainer 9 1995 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 9 1980 The simple method for solving the electromagnetic inverse scattering problem: the case of TE polarized waves. Zbl 0917.35158 Colton, David; Piana, Michele 9 1998 Transmission eigenvalues. Zbl 1479.35589 Cakoni, Fioralba; Colton, David; Haddar, Houssem 8 2021 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 Combined far-field operators in electromagnetic inverse scattering theory. Zbl 1069.35091 Cakoni, Fioralba; Colton, David 8 2003 Surveys on solution methods for inverse problems. Zbl 0948.00011 8 2000 Integral operators and reflection principles for parabolic equations in one space variable. Zbl 0277.35060 Colton, David 8 1974 Spectral properties of the exterior transmission eigenvalue problem. Zbl 1318.65075 Colton, David; Meng, Shixu 7 2014 The inverse electromagnetic scattering problem for an anisotropic medium. Zbl 0967.78006 Colton, David; Potthast, Roland 7 1999 The approximation of solutions to the backwards heat equation in a nonhomogeneous medium. Zbl 0425.35061 Colton, David 7 1979 Runge’s theorem and far field patterns for the impedance boundary value problem in acoustic wave propagation. Zbl 0534.76083 Colton, David 7 1982 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 7 1990 The determination of boundary coefficients from far field measurements. Zbl 1204.78013 Cakoni, Fioralba; Colton, David; Monk, Peter 7 2010 A new method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium. Zbl 0715.35081 Colton, David; Monk, Peter 7 1989 Singularities of solutions to elliptic partial differential equations with analytic coefficients. Zbl 0165.44402 Colton, D.; Gilbert, R. P. 7 1968 Inverse scattering theory and transmission eigenvalues. 2nd edition. Zbl 1507.35002 Cakoni, Fioralba; Colton, David; Haddar, Houssem 11 2023 Transmission eigenvalues. Zbl 1479.35589 Cakoni, Fioralba; Colton, David; Haddar, Houssem 8 2021 A duality between scattering poles and transmission eigenvalues in scattering theory. Zbl 1472.35229 Cakoni, Fioralba; Colton, David; Haddar, Houssem 2 2020 Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001 Colton, David; Kress, Rainer 214 2019 Eigenvalue problems in inverse electromagnetic scattering theory. Zbl 1445.78004 Cogar, Samuel; Colton, David; Monk, Peter 11 2019 Looking back on inverse scattering theory. Zbl 1402.35090 Colton, David; Kress, Rainer 27 2018 Using eigenvalues to detect anomalies in the exterior of a cavity. Zbl 1400.78015 Cogar, S.; Colton, D.; Monk, P. 10 2018 Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305 Cogar, S.; Colton, D.; Meng, S.; Monk, P. 29 2017 The existence of complex transmission eigenvalues for spherically stratified media. Zbl 1360.35123 Colton, David; Leung, Yuk-J. 13 2017 The inverse spectral problem for transmission eigenvalues. Zbl 1372.35361 Cogar, Samuel; Colton, David; Leung, Yuk-J 5 2017 Interior transmission eigenvalues for anisotropic media. Zbl 1414.35069 Kleefeld, A.; Colton, D. 3 2017 Peter Monk and inverse scattering theory. Zbl 1397.35002 Colton, David 2 2017 Inverse scattering theory and transmission eigenvalues. Zbl 1366.35001 Cakoni, Fioralba; Colton, David; Haddar, Houssem 125 2016 Stekloff eigenvalues in inverse scattering. Zbl 1346.35228 Cakoni, F.; Colton, D.; Meng, S.; Monk, P. 55 2016 The linear sampling method for sparse small aperture data. Zbl 1351.65070 Guo, Y.; Monk, P.; Colton, D. 15 2016 The Born transmission eigenvalue problem. Zbl 1366.78018 Cakoni, Fioralba; Colton, David; Rezac, Jacob D. 2 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 31 2015 Inverse scattering. Zbl 1331.35384 Colton, David; Kress, Rainer 1 2015 A qualitative approach to inverse scattering theory. Zbl 1302.35001 Cakoni, Fioralba; Colton, David 127 2014 The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524 Cakoni, Fioralba; Colton, David; Meng, Shixu 26 2014 Spectral properties of the exterior transmission eigenvalue problem. Zbl 1318.65075 Colton, David; Meng, Shixu 7 2014 The inverse spectral problem for exterior transmission eigenvalues. Zbl 1301.35076 Colton, David; Leung, Y. J.; Meng, Shixu 5 2014 Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121 Colton, David; Kress, Rainer 518 2013 Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003 Colton, David; Kress, Rainer 134 2013 Complex eigenvalues and the inverse spectral problem for transmission eigenvalues. Zbl 1305.34027 Colton, David; Leung, Yuk-J 40 2013 Toward a time domain approach to the linear sampling method. Zbl 1291.65293 Guo, Y.; Monk, P.; Colton, D. 24 2013 The inverse scattering problem for cavities. Zbl 1241.78027 Qin, Hai-Hua; Colton, David 39 2012 The inverse scattering problem for cavities with impedance boundary condition. Zbl 1238.35189 Qin, Hai-Hua; Colton, David 39 2012 Complex transmission eigenvalues for spherically stratified media. Zbl 1260.47012 Leung, Yuk-J; Colton, David 24 2012 The interior transmission eigenvalue problem for absorbing media. Zbl 1298.78019 Cakoni, Fioralba; Colton, David; Haddar, Houssem 14 2012 The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001 Cakoni, Fioralba; Colton, David; Monk, Peter 89 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 85 2010 On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204 Cakoni, Fioralba; Colton, David; Haddar, Houssem 69 2010 The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314 Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang 67 2010 The interior transmission eigenvalue problem. Zbl 1219.35352 Cakoni, Fioralba; Colton, David; Gintides, Drossos 42 2010 The interior transmission problem for regions with cavities. Zbl 1209.35135 Cakoni, Fioralba; Colton, David; Haddar, Houssem 25 2010 The determination of boundary coefficients from far field measurements. Zbl 1204.78013 Cakoni, Fioralba; Colton, David; Monk, Peter 7 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 14 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 39 2008 The interior transmission problem. Zbl 1130.35132 Colton, David; Päivärinta, Lassi; Sylvester, John 81 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 49 2007 The inverse electromagnetic scattering problem for a partially coated dielectric. Zbl 1222.78024 Cakoni, Fioralba; Colton, David; Monk, Peter 5 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 166 2006 Using fundamental solutions in inverse scattering. Zbl 1099.35168 Colton, David; Kress, Rainer 25 2006 Target identification of buried coated objects. Zbl 1182.35229 Cakoni, Fioralba; Colton, David 2 2006 An application of the reciprocity gap functional to inverse scattering theory. Zbl 1086.35129 Colton, David; Haddar, Houssem 36 2005 Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003 Cakoni, F.; Colton, D. 36 2005 The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007 Cakoni, Fioralba; Colton, David; Monk, Peter 21 2005 The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021 Cakoni, Fioralba; Colton, David; Monk, Peter 28 2004 The determination of the surface impedance of a partially coated obstacle from far field data. Zbl 1059.35163 Cakoni, Fioralba; Colton, David 26 2004 Partial differential equations. An introduction. Corrected reprint of the 1988 original. Zbl 1099.35001 Colton, David 3 2004 The linear sampling method for cracks. Zbl 1171.35487 Cakoni, Fioralba; Colton, David 59 2003 The linear sampling method in inverse electromagnetic scattering theory. Zbl 1049.78010 Colton, David; Haddar, Houssem; Piana, Michele 50 2003 A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013 Cakoni, Fioralba; Colton, David 22 2003 Inverse acoustic and electromagnetic scattering theory. Zbl 1081.78013 Colton, David 14 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 anisotropic media. Zbl 1019.78003 Cakoni, Fioralba; Colton, David; Haddar, Houssem 31 2002 The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008 Colton, David; Haddar, Houssem; Monk, Peter 30 2002 The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122 Cakoni, Fioralba; Colton, David; Monk, Peter 38 2001 On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034 Colton, David; Kress, Rainer 20 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 97 2000 A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172 Colton, David; Giebermann, Klaus; Monk, Peter 24 2000 Surveys on solution methods for inverse problems. Zbl 0948.00011 8 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. 5 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 2 2000 The inverse electromagnetic scattering problem for an anisotropic medium. Zbl 0967.78006 Colton, David; Potthast, Roland 7 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 842 1998 A linear sampling method for the detection of leukemia using microwaves. Zbl 0907.92014 Colton, David; Monk, Peter 10 1998 The simple method for solving the electromagnetic inverse scattering problem: the case of TE polarized waves. Zbl 0917.35158 Colton, David; Piana, Michele 9 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 77 1997 An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121 Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William 67 1997 Inverse scattering from an orthotropic medium. Zbl 0885.35143 Colton, David; Kress, Rainer; Monk, Peter 18 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 237 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 14 1995 Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134 Colton, David; Kress, Rainer 9 1995 The detection and monitoring of leukemia using electromagnetic waves: Numerical analysis. Zbl 0821.35144 Colton, David; Monk, Peter 5 1995 A modified dual space method for solving the electromagnetic inverse scattering problem for an infinite cylinder. Zbl 0804.35145 Colton, David; Monk, Peter 3 1994 The detection and monitoring of leukemia using electromagnetic waves: Mathematical theory. Zbl 0809.35153 Colton, David; Monk, Peter 3 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 333 1992 The uniqueness of a solution to an inverse scattering problem for electromagnetic waves. Zbl 0756.35114 Colton, David; Päivärinta, Lassi 32 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 ...and 106 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,100 Authors 86 Liu, Hongyu 72 Colton, David Lem 51 Cakoni, Fioralba 46 Yan, Guozheng 45 Haddar, Houssem 44 Kress, Rainer 42 Li, Peijun 37 Hu, Guanghui 36 Sun, Jiguang 36 Zhang, Bo 34 Ammari, Habib 34 Sini, Mourad 31 Guo, Yukun 29 Nicholls, David P. 28 Athanasiadis, Christodoulos E. 28 Liu, Xiaodong 28 Monk, Peter B. 26 Bao, Gang 26 Harris, Isaac 25 Eremin, Yuri A. 25 Kleefeld, Andreas 24 Yang, Yidu 23 Greengard, Leslie F. 23 Potthast, Roland W. E. 22 Bi, Hai 22 Chandler-Wilde, Simon N. 22 Ji, Xia 22 Li, Jingzhi 22 Liu, Jijun 22 Rapún, María-Luisa 21 Kirsch, Andreas 21 Klibanov, Michael V. 21 Zou, Jun 20 Bruno, Oscar P. 20 Hiptmair, Ralf 20 Nguyen, Dinh Liem 20 Setukha, Alexey V. 20 Zhang, Deyue 19 Deng, Youjun 19 Diao, Huaian 19 Ganesh, Mahadevan 19 Griesmaier, Roland 19 Kravchenko, Vladislav Viktorovich 19 Yang, Jiaqing 19 Zhang, Haiwen 18 Barnett, Alex H. 18 Guo, Jun 18 Le Louër, Frédérique 18 Spence, Euan A. 17 Gilbert, Robert Pertsch 17 Nguyen, Hoai-Minh 17 Qu, Fenglong 17 Rundell, William 17 Wang, Xianchao 16 Lai, Jun 16 Ma, Fuming 16 Park, Won-Kwang 16 Wang, Haibing 16 Yang, Chuanfu 15 Antoine, Xavier 15 Bonnet, Marc 15 Han, Jiayu 15 Meng, Shixu 15 Nakamura, Gen 14 Beshtokov, Murat Khamidbievich 14 Dong, Heping 14 Lassas, Matti J. 14 Lesnic, Daniel 14 O’Neil, Michael 14 Pelekanos, George 14 Stratis, Ioannis G. 14 Xu, Liwei 13 Hawkins, Stuart Collin 13 Johansson, B. Tomas 13 Krutitskii, Pavel A. 13 Lechleiter, Armin 13 Lee, Kuo-Ming 13 Natroshvili, David 13 Nguyen, Loc Hoang 13 Salo, Mikko 13 Scherzer, Otmar 13 Smirnov, Yury G. 13 Xu, Xiaochuan 13 Xu, Yongzhi S. 13 Yin, Tao 12 Arens, Tilo 12 Barucq, Hélène 12 Claeys, Xavier 12 Darbas, Marion 12 Khalilov, Elnur H. 12 Lu, Wangtao 12 Maponi, Pierluigi 12 Onofrei, Daniel 12 Sayas, Francisco-Javier 12 Sevroglou, Vassilios 12 Uhlmann, Gunther Alberto 11 An, Jing 11 Boubendir, Yassine 11 Chen, Yanping 11 Desmet, Wim ...and 3,000 more Authors all top 5 Cited in 353 Serials 203 Journal of Computational Physics 198 Inverse Problems 142 Mathematical Methods in the Applied Sciences 111 Applicable Analysis 111 Journal of Computational and Applied Mathematics 106 Journal of Mathematical Analysis and Applications 105 Inverse Problems and Imaging 83 Computers & Mathematics with Applications 76 SIAM Journal on Applied Mathematics 61 Inverse Problems in Science and Engineering 58 Computer Methods in Applied Mechanics and Engineering 51 Journal of Scientific Computing 49 Wave Motion 49 Applied Numerical Mathematics 48 Journal of Differential Equations 47 Journal of Inverse and Ill-Posed Problems 46 Engineering Analysis with Boundary Elements 46 SIAM Journal on Imaging Sciences 45 SIAM Journal on Mathematical Analysis 44 Differential Equations 43 Applied Mathematics and Computation 43 SIAM Journal on Scientific Computing 42 Journal of Integral Equations and Applications 36 Advances in Computational Mathematics 33 Numerische Mathematik 30 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 22 Journal of Mathematical Physics 21 Mathematics of Computation 21 Mathematics and Computers in Simulation 21 SIAM Journal on Numerical Analysis 20 Computational Mathematics and Mathematical Physics 19 Integral Equations and Operator Theory 19 International Journal for Numerical Methods in Engineering 19 Journal de Mathématiques Pures et Appliquées. 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(English Edition) 8 Advances in Mathematical Physics 8 Communications on Analysis and Computation 7 Computer Physics Communications 7 Calcolo 7 Journal of Approximation Theory 7 Mathematische Nachrichten 7 Mathematical and Computer Modelling 7 European Journal of Applied Mathematics 7 Computational Mathematics and Modeling 7 Georgian Mathematical Journal 7 Abstract and Applied Analysis 7 Boundary Value Problems 7 Advances in Applied Mathematics and Mechanics 6 Journal of Applied Mathematics and Mechanics 6 Reports on Mathematical Physics 6 Results in Mathematics 6 Computational Mechanics 6 Japan Journal of Industrial and Applied Mathematics 6 Journal of Elasticity ...and 253 more Serials all top 5 Cited in 50 Fields 2,269 Partial differential equations (35-XX) 1,409 Numerical analysis (65-XX) 1,092 Optics, electromagnetic theory (78-XX) 447 Fluid mechanics (76-XX) 371 Mechanics of deformable solids (74-XX) 327 Integral equations (45-XX) 144 Operator theory (47-XX) 133 Potential theory (31-XX) 119 Ordinary differential equations (34-XX) 94 Calculus of variations and optimal control; optimization (49-XX) 75 Biology and other natural sciences (92-XX) 66 Quantum theory (81-XX) 61 Information and communication theory, circuits (94-XX) 55 Approximations and expansions (41-XX) 52 Geophysics (86-XX) 50 Statistics (62-XX) 39 Harmonic analysis on Euclidean spaces (42-XX) 39 Computer science (68-XX) 38 Functions of a complex variable (30-XX) 36 Special functions (33-XX) 35 Systems theory; control (93-XX) 34 Integral transforms, operational calculus (44-XX) 34 Statistical mechanics, structure of matter (82-XX) 32 Functional analysis (46-XX) 32 Global analysis, analysis on manifolds (58-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 28 Probability theory and stochastic processes (60-XX) 28 Classical thermodynamics, heat transfer (80-XX) 19 Operations research, mathematical programming (90-XX) 17 Dynamical systems and ergodic theory (37-XX) 12 Real functions (26-XX) 7 Measure and integration (28-XX) 7 Astronomy and astrophysics (85-XX) 6 Several complex variables and analytic spaces (32-XX) 5 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Mechanics of particles and systems (70-XX) 3 Number theory (11-XX) 3 Geometry (51-XX) 3 Differential geometry (53-XX) 2 Difference and functional equations (39-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-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 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Mathematics education (97-XX) Citations by Year