Edit Profile (opens in new tab) Colton, David Lem Compute Distance To: Compute 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: 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 Co-Authors 87 single-authored 47 Monk, Peter B. 35 Cakoni, Fioralba 26 Kress, Rainer 13 Gilbert, Robert Pertsch 13 Kirsch, Andreas 11 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 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 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 all top 5 Fields 217 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 196 Publications have been cited 4,700 times in 2,524 Documents Cited by ▼ Year ▼ Inverse acoustic and electromagnetic scattering theory. 2nd ed. Zbl 0893.35138Colton, David; Kress, Rainer 677 1998 Integral equation methods in scattering theory. Zbl 0522.35001Colton, David; Kress, Rainer 568 1983 Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121Colton, David; Kress, Rainer 367 2013 Inverse acoustic and electromagnetic scattering theory. Zbl 0760.35053Colton, David; Kress, Rainer 292 1992 A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133Colton, David; Kirsch, Andreas 177 1996 Qualitative methods in inverse scattering theory. An introduction. Zbl 1099.78008Cakoni, Fioralba; Colton, David 127 2006 Recent developments in inverse acoustic scattering theory. Zbl 0960.76081Colton, David; Coyle, Joe; Monk, Peter 82 2000 Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001Colton, David; Kress, Rainer 73 2019 Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003Colton, David; Kress, Rainer 73 2013 Inverse scattering theory and transmission eigenvalues. Zbl 1366.35001Cakoni, Fioralba; Colton, David; Haddar, Houssem 73 2016 A qualitative approach to inverse scattering theory. Zbl 1302.35001Cakoni, Fioralba; Colton, David 71 2014 The interior transmission problem. Zbl 1130.35132Colton, David; Päivärinta, Lassi; Sylvester, John 69 2007 The inverse scattering problem for time-harmonic acoustic waves in an inhomogeneous medium. Zbl 0637.73026Colton, David; Monk, Peter 65 1988 A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123Colton, David; Piana, Michele; Potthast, Roland 65 1997 Pseudoparabolic equations in one space variable. Zbl 0231.35038Colton, David L. 65 1972 The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001Cakoni, Fioralba; Colton, David; Monk, Peter 60 2011 Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024Colton, David; Monk, Peter; Sun, Jiguang 56 2010 On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204Cakoni, Fioralba; Colton, David; Haddar, Houssem 55 2010 The linear sampling method for cracks. Zbl 1171.35487Cakoni, Fioralba; Colton, David 52 2003 An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William 51 1997 The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang 47 2010 Far-field patterns for acoustic waves in an inhomogeneous medium. Zbl 0681.76084Colton, David; Kirsch, Andreas; Päivärinta, Lassi 38 1989 Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086Colton, David; Sleeman, B. D. 37 1983 Stekloff eigenvalues in inverse scattering. Zbl 1346.35228Cakoni, 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 1115.78008Cakoni, Fioralba; Colton, David; Monk, Peter 36 2007 The linear sampling method in inverse electromagnetic scattering theory. Zbl 1049.78010Colton, David; Haddar, Houssem; Piana, Michele 36 2003 The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122Cakoni, 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 0588.76140Colton, 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 0641.76073Colton, David; Monk, Peter 30 1986 The interior transmission eigenvalue problem. Zbl 1219.35352Cakoni, Fioralba; Colton, David; Gintides, Drossos 30 2010 The uniqueness of a solution to an inverse scattering problem for electromagnetic waves. Zbl 0756.35114Colton, David; Päivärinta, Lassi 29 1992 The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008Colton, David; Haddar, Houssem; Monk, Peter 28 2002 An application of the reciprocity gap functional to inverse scattering theory. Zbl 1086.35129Colton, David; Haddar, Houssem 28 2005 Complex eigenvalues and the inverse spectral problem for transmission eigenvalues. Zbl 1305.34027Colton, David; Leung, Yuk-J 28 2013 The inverse scattering problem for cavities. Zbl 1241.78027Qin, Hai-Hua; Colton, David 27 2012 Transmission eigenvalues and the nondestructive testing of dielectrics. Zbl 1157.35497Cakoni, Fioralba; Çayören, Mehmet; Colton, David 27 2008 The inverse scattering problem for cavities with impedance boundary condition. Zbl 1238.35189Qin, Hai-Hua; Colton, David 26 2012 Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003Cakoni, F.; Colton, D. 25 2005 The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021Cakoni, Fioralba; Colton, David; Monk, Peter 25 2004 The determination of the surface impedance of a partially coated obstacle from far field data. Zbl 1059.35163Cakoni, Fioralba; Colton, David 24 2004 The interior transmission problem for regions with cavities. Zbl 1209.35135Cakoni, Fioralba; Colton, David; Haddar, Houssem 23 2010 Using fundamental solutions in inverse scattering. Zbl 1099.35168Colton, David; Kress, Rainer 23 2006 Solution of boundary value problems by the method of integral operators. Zbl 0332.35001Colton, D. L. 21 1976 The numerical solution of the three-dimensional inverse scattering problem for time harmonic acoustic waves. Zbl 0623.65130Colton, David; Monk, Peter 21 1987 Distribution of complex transmission eigenvalues for spherically stratified media. Zbl 1332.34135Colton, David; Leung, Yuk-J; Meng, Shixu 21 2015 The linear sampling method for anisotropic media. Zbl 1019.78003Cakoni, Fioralba; Colton, David; Haddar, Houssem 20 2002 Inverse acoustic and electromagnetic scattering theory. Zbl 1081.78013Colton, David 20 2003 Complex transmission eigenvalues for spherically stratified media. Zbl 1260.47012Leung, Yuk-J; Colton, David 20 2012 The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524Cakoni, Fioralba; Colton, David; Meng, Shixu 19 2014 A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172Colton, David; Giebermann, Klaus; Monk, Peter 19 2000 A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013Cakoni, Fioralba; Colton, David 19 2003 The inverse scattering problem for time-harmonic acoustic waves. Zbl 0553.35087Colton, David 18 1984 The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007Cakoni, Fioralba; Colton, David; Monk, Peter 18 2005 Looking back on inverse scattering theory. Zbl 1402.35090Colton, David; Kress, Rainer 16 2018 Integral equation methods in scattering theory. (Metody integral’nykh uravnenij v teorii rasseyaniya). Transl. from the English. Zbl 0621.35002Colton, David; Kress, Rainer 16 1987 Toward a time domain approach to the linear sampling method. Zbl 1291.65293Guo, Y.; Monk, P.; Colton, D. 16 2013 The inverse scattering problem for time-harmonic acoustic waves in a penetrable medium. Zbl 0619.35110Colton, David; Monk, Peter 15 1987 On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034Colton, David; Kress, Rainer 15 2001 Integral operators and the first initial boundary value problem for pseudoparabolic equations with analytic coefficients. Zbl 0255.35050Colton, David 15 1973 Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305Cogar, S.; Colton, D.; Meng, S.; Monk, P. 15 2017 The numerical solution of the inverse Stefan problem in two space variables. Zbl 0576.65125Colton, David; Reemtsen, Rembert 14 1984 Asymptotic behaviour of the fundamental solution to the equation of heat conduction in two temperatures. Zbl 0409.35050Colton, David; Wimp, Jet 14 1979 Dense sets and far field patterns in acoustic wave propagation. Zbl 0572.76074Colton, David; Kirsch, Andreas 13 1984 Inverse scattering from an orthotropic medium. Zbl 0885.35143Colton, David; Kress, Rainer; Monk, Peter 13 1997 The solution of initial-boundary value problems for parabolic equations by the method of integral operators. Zbl 0407.35043Colton, David 13 1977 The direct and inverse scattering problems for an arbitrary cylinder: Dirichlet boundary conditions. Zbl 0439.35020Colton, David; Kleinman, Ralph 13 1980 Cauchy’s problem for a singular parabolic partial differential equation. Zbl 0199.16501Colton, David 13 1970 The interior transmission eigenvalue problem for absorbing media. Zbl 1298.78019Cakoni, Fioralba; Colton, David; Haddar, Houssem 11 2012 The determination of the surface impedance of an obstacle from measurements of the far field pattern. Zbl 0464.35077Colton, David; Kirsch, Andreas 11 1981 Analytic theory of partial differential equations. Zbl 0468.35001Colton, David L. 11 1980 The three dimensional inverse scattering problem for acoustic waves. Zbl 0496.65069Angell, T. S.; Colton, David; Kirsch, Andreas 11 1982 On the analytic theory of pseudoparabolic equations. Zbl 0232.35006Colton, David 11 1972 Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium. Zbl 0839.35094Colton, David; Kress, Rainer 11 1995 Analytic continuation of solutions to partial differential equations with applications to problems in scattering theory. Zbl 0536.35008Colton, D. L. 10 1983 The linear sampling method for sparse small aperture data. Zbl 1351.65070Guo, 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 1173.35722Cakoni, Fioralba; Colton, David; Haddar, Houssem 9 2009 On the mathematical basis of the linear sampling method. Zbl 1054.35123Cakoni, Fioralba; Colton, David 9 2003 The existence of complex transmission eigenvalues for spherically stratified media. Zbl 1360.35123Colton, 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 0341.35034Colton, David; Wendland, Wolfgang 8 1976 A linear sampling method for the detection of leukemia using microwaves. Zbl 0907.92014Colton, David; Monk, Peter 8 1998 The simple method for solving the electromagnetic inverse scattering problem: the case of TE polarized waves. Zbl 0917.35158Colton, David; Piana, Michele 8 1998 The inverse scattering problem for a cylinder. Zbl 0415.35081Colton, 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 0444.35023Colton, David; Kress, Rainer 8 1980 Combined far-field operators in electromagnetic inverse scattering theory. Zbl 1069.35091Cakoni, Fioralba; Colton, David 8 2003 Integral operators and reflection principles for parabolic equations in one space variable. Zbl 0277.35060Colton, David 8 1974 A contribution to the analytic theory of partial differential equations. Zbl 0165.12102Colton, D. 7 1969 Singularities of solutions to elliptic partial differential equations with analytic coefficients. Zbl 0165.44402Colton, D.; Gilbert, R. P. 7 1968 Using eigenvalues to detect anomalies in the exterior of a cavity. Zbl 1400.78015Cogar, 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 0534.76083Colton, David 7 1982 Stable methods for solving the inverse scattering problem for a cylinder. Zbl 0474.35084Colton, David; Kirsch, Andreas 6 1981 Far field patterns of the impedance boundary value problem in acoustic scattering. Zbl 0533.76083Colton, David 6 1983 The inverse electromagnetic scattering problem for an anisotropic medium. Zbl 0967.78006Colton, David; Potthast, Roland 6 1999 The approximation of solutions to initial boundary value problems for parabolic equations in one space variable. Zbl 0317.35048Colton, David 6 1976 Partial differential equations in the complex domain. Zbl 0323.35003Colton, D. L. 6 1976 The approximation of solutions to the backwards heat equation in a nonhomogeneous medium. Zbl 0425.35061Colton, David 6 1979 An approximation property of importance in inverse scattering theory. Zbl 0992.35115Colton, David; Sleeman, Brian D. 6 2001 Bergman operators for elliptic equations in three independent variables. Zbl 0218.35019Colton, D. 6 1971 Partial differential equations: An introduction. Zbl 0677.35001Colton, David L. 6 1988 The determination of boundary coefficients from far field measurements. Zbl 1204.78013Cakoni, Fioralba; Colton, David; Monk, Peter 6 2010 Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134Colton, David; Kress, Rainer 6 1995 A duality between scattering poles and transmission eigenvalues in scattering theory. Zbl 1472.35229Cakoni, Fioralba; Colton, David; Haddar, Houssem 1 2020 Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001Colton, David; Kress, Rainer 73 2019 Eigenvalue problems in inverse electromagnetic scattering theory. Zbl 1445.78004Cogar, Samuel; Colton, David; Monk, Peter 5 2019 Looking back on inverse scattering theory. Zbl 1402.35090Colton, David; Kress, Rainer 16 2018 Using eigenvalues to detect anomalies in the exterior of a cavity. Zbl 1400.78015Cogar, S.; Colton, D.; Monk, P. 7 2018 Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305Cogar, S.; Colton, D.; Meng, S.; Monk, P. 15 2017 The existence of complex transmission eigenvalues for spherically stratified media. Zbl 1360.35123Colton, David; Leung, Yuk-J. 8 2017 The inverse spectral problem for transmission eigenvalues. Zbl 1372.35361Cogar, Samuel; Colton, David; Leung, Yuk-J 4 2017 Peter Monk and inverse scattering theory. Zbl 1397.35002Colton, David 1 2017 Inverse scattering theory and transmission eigenvalues. Zbl 1366.35001Cakoni, Fioralba; Colton, David; Haddar, Houssem 73 2016 Stekloff eigenvalues in inverse scattering. Zbl 1346.35228Cakoni, F.; Colton, D.; Meng, S.; Monk, P. 37 2016 The linear sampling method for sparse small aperture data. Zbl 1351.65070Guo, Y.; Monk, P.; Colton, D. 10 2016 On a transmission eigenvalue problem for a spherically stratified coated dielectric. Zbl 1352.31003Colton, David; Leung, Yuk-J. 1 2016 The Born transmission eigenvalue problem. Zbl 1366.78018Cakoni, Fioralba; Colton, David; Rezac, Jacob D. 1 2016 Distribution of complex transmission eigenvalues for spherically stratified media. Zbl 1332.34135Colton, David; Leung, Yuk-J; Meng, Shixu 21 2015 A qualitative approach to inverse scattering theory. Zbl 1302.35001Cakoni, Fioralba; Colton, David 71 2014 The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524Cakoni, Fioralba; Colton, David; Meng, Shixu 19 2014 Spectral properties of the exterior transmission eigenvalue problem. Zbl 1318.65075Colton, David; Meng, Shixu 5 2014 The inverse spectral problem for exterior transmission eigenvalues. Zbl 1301.35076Colton, David; Leung, Y. J.; Meng, Shixu 3 2014 Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121Colton, David; Kress, Rainer 367 2013 Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003Colton, David; Kress, Rainer 73 2013 Complex eigenvalues and the inverse spectral problem for transmission eigenvalues. Zbl 1305.34027Colton, David; Leung, Yuk-J 28 2013 Toward a time domain approach to the linear sampling method. Zbl 1291.65293Guo, Y.; Monk, P.; Colton, D. 16 2013 The inverse scattering problem for cavities. Zbl 1241.78027Qin, Hai-Hua; Colton, David 27 2012 The inverse scattering problem for cavities with impedance boundary condition. Zbl 1238.35189Qin, Hai-Hua; Colton, David 26 2012 Complex transmission eigenvalues for spherically stratified media. Zbl 1260.47012Leung, Yuk-J; Colton, David 20 2012 The interior transmission eigenvalue problem for absorbing media. Zbl 1298.78019Cakoni, Fioralba; Colton, David; Haddar, Houssem 11 2012 The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001Cakoni, Fioralba; Colton, David; Monk, Peter 60 2011 Inverse scattering. Zbl 1259.35003Colton, David; Kress, Rainer 4 2011 Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024Colton, David; Monk, Peter; Sun, Jiguang 56 2010 On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204Cakoni, Fioralba; Colton, David; Haddar, Houssem 55 2010 The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang 47 2010 The interior transmission eigenvalue problem. Zbl 1219.35352Cakoni, Fioralba; Colton, David; Gintides, Drossos 30 2010 The interior transmission problem for regions with cavities. Zbl 1209.35135Cakoni, Fioralba; Colton, David; Haddar, Houssem 23 2010 The determination of boundary coefficients from far field measurements. Zbl 1204.78013Cakoni, 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 1173.35722Cakoni, Fioralba; Colton, David; Haddar, Houssem 9 2009 Thirty years and still counting. Zbl 1190.35005Colton, David; Kress, Rainer 3 2009 Transmission eigenvalues and the nondestructive testing of dielectrics. Zbl 1157.35497Cakoni, Fioralba; Çayören, Mehmet; Colton, David 27 2008 The interior transmission problem. Zbl 1130.35132Colton, David; Päivärinta, Lassi; Sylvester, John 69 2007 On the use of transmission eigenvalues to estimate the index of refraction from far field data. Zbl 1115.78008Cakoni, Fioralba; Colton, David; Monk, Peter 36 2007 The inverse electromagnetic scattering problem for a partially coated dielectric. Zbl 1222.78024Cakoni, Fioralba; Colton, David; Monk, Peter 4 2007 Inequalities in inverse scattering theory. Zbl 1387.35614Cakoni, F.; Colton, D. 3 2007 Qualitative methods in inverse scattering theory. An introduction. Zbl 1099.78008Cakoni, Fioralba; Colton, David 127 2006 Using fundamental solutions in inverse scattering. Zbl 1099.35168Colton, David; Kress, Rainer 23 2006 Target identification of buried coated objects. Zbl 1182.35229Cakoni, Fioralba; Colton, David 1 2006 An application of the reciprocity gap functional to inverse scattering theory. Zbl 1086.35129Colton, David; Haddar, Houssem 28 2005 Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003Cakoni, F.; Colton, D. 25 2005 The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007Cakoni, Fioralba; Colton, David; Monk, Peter 18 2005 The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021Cakoni, Fioralba; Colton, David; Monk, Peter 25 2004 The determination of the surface impedance of a partially coated obstacle from far field data. Zbl 1059.35163Cakoni, Fioralba; Colton, David 24 2004 Partial differential equations. An introduction. Corrected reprint of the 1988 original. Zbl 1099.35001Colton, David 2 2004 The linear sampling method for cracks. Zbl 1171.35487Cakoni, Fioralba; Colton, David 52 2003 The linear sampling method in inverse electromagnetic scattering theory. Zbl 1049.78010Colton, David; Haddar, Houssem; Piana, Michele 36 2003 Inverse acoustic and electromagnetic scattering theory. Zbl 1081.78013Colton, David 20 2003 A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013Cakoni, Fioralba; Colton, David 19 2003 On the mathematical basis of the linear sampling method. Zbl 1054.35123Cakoni, Fioralba; Colton, David 9 2003 Combined far-field operators in electromagnetic inverse scattering theory. Zbl 1069.35091Cakoni, Fioralba; Colton, David 8 2003 The inverse electromagnetic scattering problem for screens. Zbl 1142.78310Cakoni, Fioralba; Colton, David; Darrigrand, Eric 4 2003 Herglotz wave functions in inverse electromagnetic scattering theory. Zbl 1042.78007Colton, David; Monk, Peter 2 2003 The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008Colton, David; Haddar, Houssem; Monk, Peter 28 2002 The linear sampling method for anisotropic media. Zbl 1019.78003Cakoni, Fioralba; Colton, David; Haddar, Houssem 20 2002 The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122Cakoni, Fioralba; Colton, David; Monk, Peter 34 2001 On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034Colton, David; Kress, Rainer 15 2001 An approximation property of importance in inverse scattering theory. Zbl 0992.35115Colton, David; Sleeman, Brian D. 6 2001 Inequalities for inverse scattering problems in absorbing media. Zbl 0991.35106Colton, David; Piana, Michele 2 2001 Recent developments in inverse acoustic scattering theory. Zbl 0960.76081Colton, David; Coyle, Joe; Monk, Peter 82 2000 A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172Colton, 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 0957.65093Colton, David; Päivärinta, Lassi 3 2000 Introduction to: Surveys on solution methods for inverse problems. Zbl 0963.01010Colton, D.; Engl, H. W.; Louis, A. K.; McLaughlin, J. R.; Rundell, W. 2 2000 The linear sampling method in inverse scattering theory. Zbl 0968.35132Colton, David; Kirsch, Andreas; Monk, Peter 2 2000 The inverse electromagnetic scattering problem for an anisotropic medium. Zbl 0967.78006Colton, David; Potthast, Roland 6 1999 A linear sampling method for the detection of leukemia using microwaves. II. Zbl 1069.92511Colton, David; Monk, Peter 3 1999 Inverse acoustic and electromagnetic scattering theory. 2nd ed. Zbl 0893.35138Colton, David; Kress, Rainer 677 1998 A linear sampling method for the detection of leukemia using microwaves. Zbl 0907.92014Colton, David; Monk, Peter 8 1998 The simple method for solving the electromagnetic inverse scattering problem: the case of TE polarized waves. Zbl 0917.35158Colton, David; Piana, Michele 8 1998 A simple method for solving electromagnetic inverse scattering problems. Zbl 1050.78506Colton, David L. 3 1998 Recent progress on the inverse electromagnetic scattering problem for anisotropic media. Zbl 0963.78020Colton, David L. 1 1998 A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123Colton, David; Piana, Michele; Potthast, Roland 65 1997 An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William 51 1997 Inverse scattering from an orthotropic medium. Zbl 0885.35143Colton, David; Kress, Rainer; Monk, Peter 13 1997 A new algorithm in electromagnetic inverse scattering theory with an application to medical imaging. Zbl 0896.35100Colton, David; Monk, Peter; Kress, Rainer 3 1997 A brief introduction to inverse scattering theory. Zbl 0898.35113Colton, D. 2 1997 A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133Colton, David; Kirsch, Andreas 177 1996 Spectral theory of the magnetic far field operator in an orthotropic medium. Zbl 0886.35167Colton, David; Erbe, Claudia 2 1996 Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium. Zbl 0839.35094Colton, David; Kress, Rainer 11 1995 Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134Colton, David; Kress, Rainer 6 1995 The detection and monitoring of leukemia using electromagnetic waves: Numerical analysis. Zbl 0821.35144Colton, David; Monk, Peter 5 1995 The detection and monitoring of leukemia using electromagnetic waves: Mathematical theory. Zbl 0809.35153Colton, David; Monk, Peter 3 1994 A modified dual space method for solving the electromagnetic inverse scattering problem for an infinite cylinder. Zbl 0804.35145Colton, David; Monk, Peter 2 1994 Target signatures for imperfectly conducting obstacles at fixed frequency. Zbl 0808.35149Colton, David; Kirsch, Andreas 1 1994 On a class of integral equations of the first kind in inverse scattering theory. Zbl 0789.35170Colton, David; Monk, Peter 5 1993 Modified far field operators in inverse scattering theory. Zbl 0781.35070Colton, David; Hähner, Peter 1 1993 Inverse acoustic and electromagnetic scattering theory. Zbl 0760.35053Colton, David; Kress, Rainer 292 1992 The uniqueness of a solution to an inverse scattering problem for electromagnetic waves. Zbl 0756.35114Colton, David; Päivärinta, Lassi 29 1992 A comparison of two methods for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium. Zbl 0768.73017Colton, David; Monk, Peter 2 1992 An approximation problem in inverse scattering theory. Zbl 0798.35155Colton, David; Kirsch, Andreas 3 1991 The inverse scattering problem for time harmonic electromagnetic waves. Zbl 0737.65101Colton, D.; Monk, P. 1 1991 Time harmonic electromagnetic waves in an inhomogeneous medium. Zbl 0729.35097Colton, David; Kress, Rainer 3 1990 A new method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium. II. Zbl 0738.35098Colton, David; Monk, Peter 3 1990 ...and 96 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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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 all top 5 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) Citations by Year