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 1,251 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 200 Publications have been cited 5,238 times in 2,810 Documents Cited by ▼ Year ▼ Inverse acoustic and electromagnetic scattering theory. 2nd ed. Zbl 0893.35138Colton, David; Kress, Rainer 738 1998 Integral equation methods in scattering theory. Zbl 0522.35001Colton, David; Kress, Rainer 607 1983 Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121Colton, David; Kress, Rainer 416 2013 Inverse acoustic and electromagnetic scattering theory. Zbl 0760.35053Colton, David; Kress, Rainer 310 1992 A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133Colton, David; Kirsch, Andreas 206 1996 Qualitative methods in inverse scattering theory. An introduction. Zbl 1099.78008Cakoni, Fioralba; Colton, David 138 2006 Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001Colton, David; Kress, Rainer 129 2019 Inverse scattering theory and transmission eigenvalues. Zbl 1366.35001Cakoni, Fioralba; Colton, David; Haddar, Houssem 97 2016 Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003Colton, David; Kress, Rainer 92 2013 A qualitative approach to inverse scattering theory. Zbl 1302.35001Cakoni, Fioralba; Colton, David 92 2014 Recent developments in inverse acoustic scattering theory. Zbl 0960.76081Colton, David; Coyle, Joe; Monk, Peter 88 2000 The interior transmission problem. Zbl 1130.35132Colton, David; Päivärinta, Lassi; Sylvester, John 76 2007 The inverse scattering problem for time-harmonic acoustic waves in an inhomogeneous medium. Zbl 0637.73026Colton, David; Monk, Peter 72 1988 The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001Cakoni, Fioralba; Colton, David; Monk, Peter 71 2011 A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123Colton, David; Piana, Michele; Potthast, Roland 68 1997 Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024Colton, David; Monk, Peter; Sun, Jiguang 68 2010 Pseudoparabolic equations in one space variable. Zbl 0231.35038Colton, David L. 68 1972 On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204Cakoni, Fioralba; Colton, David; Haddar, Houssem 59 2010 An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William 58 1997 The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang 55 2010 The linear sampling method for cracks. Zbl 1171.35487Cakoni, Fioralba; Colton, David 54 2003 Stekloff eigenvalues in inverse scattering. Zbl 1346.35228Cakoni, F.; Colton, D.; Meng, S.; Monk, P. 45 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 41 2007 Far-field patterns for acoustic waves in an inhomogeneous medium. Zbl 0681.76084Colton, David; Kirsch, Andreas; Päivärinta, Lassi 39 1989 Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086Colton, David; Sleeman, B. D. 38 1983 The linear sampling method in inverse electromagnetic scattering theory. Zbl 1049.78010Colton, David; Haddar, Houssem; Piana, Michele 38 2003 The interior transmission eigenvalue problem. Zbl 1219.35352Cakoni, Fioralba; Colton, David; Gintides, Drossos 36 2010 The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122Cakoni, Fioralba; Colton, David; Monk, Peter 34 2001 Complex eigenvalues and the inverse spectral problem for transmission eigenvalues. Zbl 1305.34027Colton, David; Leung, Yuk-J 34 2013 Transmission eigenvalues and the nondestructive testing of dielectrics. Zbl 1157.35497Cakoni, Fioralba; Çayören, Mehmet; Colton, David 33 2008 An application of the reciprocity gap functional to inverse scattering theory. Zbl 1086.35129Colton, David; Haddar, Houssem 32 2005 The inverse scattering problem for cavities. Zbl 1241.78027Qin, Hai-Hua; Colton, David 32 2012 Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003Cakoni, F.; Colton, D. 31 2005 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 31 1986 The uniqueness of a solution to an inverse scattering problem for electromagnetic waves. Zbl 0756.35114Colton, David; Päivärinta, Lassi 30 1992 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 The inverse scattering problem for cavities with impedance boundary condition. Zbl 1238.35189Qin, Hai-Hua; Colton, David 30 2012 The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008Colton, David; Haddar, Houssem; Monk, Peter 29 2002 The linear sampling method for anisotropic media. Zbl 1019.78003Cakoni, Fioralba; Colton, David; Haddar, Houssem 25 2002 The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021Cakoni, Fioralba; Colton, David; Monk, Peter 25 2004 Using fundamental solutions in inverse scattering. Zbl 1099.35168Colton, David; Kress, Rainer 24 2006 The determination of the surface impedance of a partially coated obstacle from far field data. Zbl 1059.35163Cakoni, Fioralba; Colton, David 24 2004 The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524Cakoni, Fioralba; Colton, David; Meng, Shixu 23 2014 Distribution of complex transmission eigenvalues for spherically stratified media. Zbl 1332.34135Colton, David; Leung, Yuk-J; Meng, Shixu 23 2015 The interior transmission problem for regions with cavities. Zbl 1209.35135Cakoni, Fioralba; Colton, David; Haddar, Houssem 23 2010 Toward a time domain approach to the linear sampling method. Zbl 1291.65293Guo, Y.; Monk, P.; Colton, D. 23 2013 Complex transmission eigenvalues for spherically stratified media. Zbl 1260.47012Leung, Yuk-J; Colton, David 22 2012 Inverse acoustic and electromagnetic scattering theory. Zbl 1081.78013Colton, David 21 2003 Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305Cogar, S.; Colton, D.; Meng, S.; Monk, P. 21 2017 The numerical solution of the three-dimensional inverse scattering problem for time harmonic acoustic waves. Zbl 0623.65130Colton, David; Monk, Peter 21 1987 Solution of boundary value problems by the method of integral operators. Zbl 0332.35001Colton, D. L. 21 1976 A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172Colton, David; Giebermann, Klaus; Monk, Peter 20 2000 A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013Cakoni, Fioralba; Colton, David 20 2003 Looking back on inverse scattering theory. Zbl 1402.35090Colton, David; Kress, Rainer 20 2018 The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007Cakoni, Fioralba; Colton, David; Monk, Peter 18 2005 The inverse scattering problem for time-harmonic acoustic waves. Zbl 0553.35087Colton, David 18 1984 Integral equation methods in scattering theory. (Metody integral’nykh uravnenij v teorii rasseyaniya). Transl. from the English. Zbl 0621.35002Colton, David; Kress, Rainer 17 1987 Inverse scattering from an orthotropic medium. Zbl 0885.35143Colton, David; Kress, Rainer; Monk, Peter 17 1997 On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034Colton, David; Kress, Rainer 16 2001 Asymptotic behaviour of the fundamental solution to the equation of heat conduction in two temperatures. Zbl 0409.35050Colton, David; Wimp, Jet 16 1979 The numerical solution of the inverse Stefan problem in two space variables. Zbl 0576.65125Colton, David; Reemtsen, Rembert 15 1984 The inverse scattering problem for time-harmonic acoustic waves in a penetrable medium. Zbl 0619.35110Colton, David; Monk, Peter 15 1987 Integral operators and the first initial boundary value problem for pseudoparabolic equations with analytic coefficients. Zbl 0255.35050Colton, David 15 1973 The linear sampling method for sparse small aperture data. Zbl 1351.65070Guo, Y.; Monk, P.; Colton, D. 13 2016 The solution of initial-boundary value problems for parabolic equations by the method of integral operators. Zbl 0407.35043Colton, David 13 1977 Dense sets and far field patterns in acoustic wave propagation. Zbl 0572.76074Colton, David; Kirsch, Andreas 13 1984 Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium. Zbl 0839.35094Colton, David; Kress, Rainer 13 1995 The direct and inverse scattering problems for an arbitrary cylinder: Dirichlet boundary conditions. Zbl 0439.35020Colton, David; Kleinman, Ralph 13 1980 Analytic theory of partial differential equations. Zbl 0468.35001Colton, David L. 13 1980 Cauchy’s problem for a singular parabolic partial differential equation. Zbl 0199.16501Colton, David 13 1970 On the analytic theory of pseudoparabolic equations. Zbl 0232.35006Colton, David 13 1972 The three dimensional inverse scattering problem for acoustic waves. Zbl 0496.65069Angell, T. S.; Colton, David; Kirsch, Andreas 12 1982 The interior transmission eigenvalue problem for absorbing media. Zbl 1298.78019Cakoni, Fioralba; Colton, David; Haddar, Houssem 12 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 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 10 2009 Analytic continuation of solutions to partial differential equations with applications to problems in scattering theory. Zbl 0536.35008Colton, D. L. 10 1983 A linear sampling method for the detection of leukemia using microwaves. Zbl 0907.92014Colton, David; Monk, Peter 9 1998 Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134Colton, David; Kress, Rainer 9 1995 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. 9 2017 The inverse scattering problem for a cylinder. Zbl 0415.35081Colton, David 8 1979 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 Combined far-field operators in electromagnetic inverse scattering theory. Zbl 1069.35091Cakoni, Fioralba; Colton, David 8 2003 The simple method for solving the electromagnetic inverse scattering problem: the case of TE polarized waves. Zbl 0917.35158Colton, David; Piana, Michele 8 1998 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 Integral operators and reflection principles for parabolic equations in one space variable. Zbl 0277.35060Colton, David 8 1974 Eigenvalue problems in inverse electromagnetic scattering theory. Zbl 1445.78004Cogar, Samuel; Colton, David; Monk, Peter 8 2019 Using eigenvalues to detect anomalies in the exterior of a cavity. Zbl 1400.78015Cogar, S.; Colton, D.; Monk, P. 7 2018 The determination of boundary coefficients from far field measurements. Zbl 1204.78013Cakoni, Fioralba; Colton, David; Monk, Peter 7 2010 Runge’s theorem and far field patterns for the impedance boundary value problem in acoustic wave propagation. Zbl 0534.76083Colton, David 7 1982 A new method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium. Zbl 0715.35081Colton, David; Monk, Peter 7 1989 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 Partial differential equations: An introduction. Zbl 0677.35001Colton, David L. 6 1988 An approximation property of importance in inverse scattering theory. Zbl 0992.35115Colton, David; Sleeman, Brian D. 6 2001 The approximation of solutions to the backwards heat equation in a nonhomogeneous medium. Zbl 0425.35061Colton, David 6 1979 Stable methods for solving the inverse scattering problem for a cylinder. Zbl 0474.35084Colton, David; Kirsch, Andreas 6 1981 Spectral properties of the exterior transmission eigenvalue problem. Zbl 1318.65075Colton, David; Meng, Shixu 6 2014 Far field patterns of the impedance boundary value problem in acoustic scattering. Zbl 0533.76083Colton, David 6 1983 Integral operators for elliptic equations in three independenc variables. I. Zbl 0296.35024Colton, David 6 1974 Transmission eigenvalues. Zbl 1479.35589Cakoni, Fioralba; Colton, David; Haddar, Houssem 2 2021 A duality between scattering poles and transmission eigenvalues in scattering theory. Zbl 1472.35229Cakoni, Fioralba; Colton, David; Haddar, Houssem 2 2020 Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001Colton, David; Kress, Rainer 129 2019 Eigenvalue problems in inverse electromagnetic scattering theory. Zbl 1445.78004Cogar, Samuel; Colton, David; Monk, Peter 8 2019 Looking back on inverse scattering theory. Zbl 1402.35090Colton, David; Kress, Rainer 20 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. 21 2017 The existence of complex transmission eigenvalues for spherically stratified media. Zbl 1360.35123Colton, David; Leung, Yuk-J. 9 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 2 2017 Interior transmission eigenvalues for anisotropic media. Zbl 1414.35069Kleefeld, A.; Colton, D. 1 2017 Inverse scattering theory and transmission eigenvalues. Zbl 1366.35001Cakoni, Fioralba; Colton, David; Haddar, Houssem 97 2016 Stekloff eigenvalues in inverse scattering. Zbl 1346.35228Cakoni, F.; Colton, D.; Meng, S.; Monk, P. 45 2016 The linear sampling method for sparse small aperture data. Zbl 1351.65070Guo, Y.; Monk, P.; Colton, D. 13 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 23 2015 A qualitative approach to inverse scattering theory. Zbl 1302.35001Cakoni, Fioralba; Colton, David 92 2014 The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524Cakoni, Fioralba; Colton, David; Meng, Shixu 23 2014 Spectral properties of the exterior transmission eigenvalue problem. Zbl 1318.65075Colton, David; Meng, Shixu 6 2014 The inverse spectral problem for exterior transmission eigenvalues. Zbl 1301.35076Colton, David; Leung, Y. J.; Meng, Shixu 4 2014 Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121Colton, David; Kress, Rainer 416 2013 Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003Colton, David; Kress, Rainer 92 2013 Complex eigenvalues and the inverse spectral problem for transmission eigenvalues. Zbl 1305.34027Colton, David; Leung, Yuk-J 34 2013 Toward a time domain approach to the linear sampling method. Zbl 1291.65293Guo, Y.; Monk, P.; Colton, D. 23 2013 The inverse scattering problem for cavities. Zbl 1241.78027Qin, Hai-Hua; Colton, David 32 2012 The inverse scattering problem for cavities with impedance boundary condition. Zbl 1238.35189Qin, Hai-Hua; Colton, David 30 2012 Complex transmission eigenvalues for spherically stratified media. Zbl 1260.47012Leung, Yuk-J; Colton, David 22 2012 The interior transmission eigenvalue problem for absorbing media. Zbl 1298.78019Cakoni, Fioralba; Colton, David; Haddar, Houssem 12 2012 The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001Cakoni, Fioralba; Colton, David; Monk, Peter 71 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 68 2010 On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204Cakoni, Fioralba; Colton, David; Haddar, Houssem 59 2010 The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang 55 2010 The interior transmission eigenvalue problem. Zbl 1219.35352Cakoni, Fioralba; Colton, David; Gintides, Drossos 36 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 7 2010 The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data. Zbl 1173.35722Cakoni, Fioralba; Colton, David; Haddar, Houssem 10 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 33 2008 The interior transmission problem. Zbl 1130.35132Colton, David; Päivärinta, Lassi; Sylvester, John 76 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 41 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 138 2006 Using fundamental solutions in inverse scattering. Zbl 1099.35168Colton, David; Kress, Rainer 24 2006 Target identification of buried coated objects. Zbl 1182.35229Cakoni, Fioralba; Colton, David 2 2006 An application of the reciprocity gap functional to inverse scattering theory. Zbl 1086.35129Colton, David; Haddar, Houssem 32 2005 Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003Cakoni, F.; Colton, D. 31 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 54 2003 The linear sampling method in inverse electromagnetic scattering theory. Zbl 1049.78010Colton, David; Haddar, Houssem; Piana, Michele 38 2003 Inverse acoustic and electromagnetic scattering theory. Zbl 1081.78013Colton, David 21 2003 A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013Cakoni, Fioralba; Colton, David 20 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 29 2002 The linear sampling method for anisotropic media. Zbl 1019.78003Cakoni, Fioralba; Colton, David; Haddar, Houssem 25 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 16 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 88 2000 A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172Colton, David; Giebermann, Klaus; Monk, Peter 20 2000 Surveys on solution methods for inverse problems. Zbl 0948.00011 4 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. 4 2000 Transmission eigenvalues and a problem of Hans Lewy. Zbl 0957.65093Colton, David; Päivärinta, Lassi 3 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 738 1998 A linear sampling method for the detection of leukemia using microwaves. Zbl 0907.92014Colton, David; Monk, Peter 9 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 68 1997 An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William 58 1997 Inverse scattering from an orthotropic medium. Zbl 0885.35143Colton, David; Kress, Rainer; Monk, Peter 17 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 206 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 13 1995 Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134Colton, David; Kress, Rainer 9 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 310 1992 The uniqueness of a solution to an inverse scattering problem for electromagnetic waves. Zbl 0756.35114Colton, David; Päivärinta, Lassi 30 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 ...and 100 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,664 Authors 72 Colton, David Lem 65 Liu, Hongyu 45 Cakoni, Fioralba 43 Kress, Rainer 41 Yan, Guozheng 40 Haddar, Houssem 35 Li, Peijun 33 Sun, Jiguang 32 Hu, Guanghui 31 Zhang, Bo 30 Sini, Mourad 29 Ammari, Habib M. 27 Athanasiadis, Christodoulos E. 27 Monk, Peter B. 26 Liu, Xiaodong 26 Nicholls, David P. 25 Guo, Yukun 24 Potthast, Roland W. E. 23 Bao, Gang 22 Chandler-Wilde, Simon N. 22 Liu, Jijun 22 Ma, Fuming 22 Yang, Yidu 21 Ji, Xia 21 Klibanov, Michael V. 21 Rapún, María-Luisa 20 Eremin, Yuri A. 20 Greengard, Leslie F. 20 Li, Jingzhi 20 Nguyen, Dinh Liem 19 Bi, Hai 19 Hiptmair, Ralf 18 Ganesh, Mahadevan 18 Kleefeld, Andreas 18 Zou, Jun 17 Griesmaier, Roland 17 Guo, Jun 17 Kirsch, Andreas 17 Nguyen, Hoai-Minh 17 Setukha, Alexey V. 17 Yang, Jiaqing 17 Zhang, Deyue 16 Barnett, Alex H. 16 Bruno, Oscar P. 16 Gilbert, Robert Pertsch 16 Rundell, William 15 Deng, Youjun 15 Le Louër, Frédérique 15 Nakamura, Gen 15 Park, Won-Kwang 15 Spence, Euan A. 15 Wang, Haibing 15 Yang, Chuanfu 14 Bonnet, Marc 14 Harris, Isaac 14 Lassas, Matti J. 14 Pelekanos, George 14 Qu, Fenglong 14 Stratis, Ioannis G. 14 Zhang, Haiwen 13 Antoine, Xavier 13 Diao, Huaian 13 Han, Jiayu 13 Johansson, B. Tomas 13 Lee, Kuo-Ming 13 Lesnic, Daniel 13 Nguyen, Loc Hoang 13 Xu, Liwei 12 Beshtokov, Murat Khamidbievich 12 Hawkins, Stuart Collin 12 Krutitskii, Pavel A. 12 Lechleiter, Armin 12 Onofrei, Daniel 12 Sayas, Francisco-Javier 12 Wang, Xianchao 11 Arens, Tilo 11 Djellouli, Rabia 11 Dong, Heping 11 Kravchenko, Vladislav V. 11 Lai, Jun 11 Maponi, Pierluigi 11 Meng, Shixu 11 Mitrea, Marius 11 Moskow, Shari 11 Sevroglou, Vassilios 11 Uhlmann, Gunther Alberto 10 Barucq, Hélène 10 Boubendir, Yassine 10 Buterin, Sergey Alexandrovich 10 Carpio, Ana 10 Dassios, George 10 Desmet, Wim 10 Guzina, Bojan B. 10 Helsing, Johan 10 Leem, Koung Hee 10 Li, Jianliang 10 Lu, Wangtao 10 Natroshvili, David 10 Päivärinta, Lassi 10 Smirnov, Yury G. ...and 2,564 more Authors all top 5 Cited in 318 Serials 178 Journal of Computational Physics 146 Inverse Problems 106 Applicable Analysis 103 Mathematical Methods in the Applied Sciences 97 Journal of Mathematical Analysis and Applications 96 Journal of Computational and Applied Mathematics 84 Inverse Problems and Imaging 66 SIAM Journal on Applied Mathematics 63 Computers & Mathematics with Applications 61 Inverse Problems in Science and Engineering 49 Computer Methods in Applied Mechanics and Engineering 46 Journal of Differential Equations 45 Applied Numerical Mathematics 44 Wave Motion 41 Applied Mathematics and Computation 41 SIAM Journal on Imaging Sciences 40 Journal of Scientific Computing 39 Journal of Inverse and Ill-Posed Problems 39 Engineering Analysis with Boundary Elements 39 Differential Equations 38 Journal of Integral Equations and Applications 38 SIAM Journal on Scientific Computing 37 SIAM Journal on Mathematical Analysis 33 Advances in Computational Mathematics 31 Numerische Mathematik 25 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 20 Journal of Mathematical Physics 20 Mathematics of Computation 20 Mathematics and Computers in Simulation 20 Computational Mathematics and Mathematical Physics 18 Integral Equations and Operator Theory 18 Communications in Computational Physics 17 Applied Mathematics Letters 16 Archive for Rational Mechanics and Analysis 16 BIT 16 SIAM Journal on Numerical Analysis 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 14 Communications on Pure and Applied Mathematics 14 Communications in Partial Differential Equations 14 Research in the Mathematical Sciences 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Multiscale Modeling & Simulation 12 Journal of Functional Analysis 12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 12 Science China. Mathematics 11 Journal of Engineering Mathematics 11 International Journal for Numerical Methods in Engineering 11 Quarterly of Applied Mathematics 11 Numerical Algorithms 11 International Journal of Computer Mathematics 11 Lobachevskii Journal of Mathematics 11 Complex Variables and Elliptic Equations 10 Communications in Mathematical Physics 10 ZAMP. 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Académie des Sciences, Paris 8 SN Partial Differential Equations and Applications 7 Mathematische Nachrichten 7 Numerical Methods for Partial Differential Equations 7 Russian Mathematics 7 Journal of Mathematical Sciences (New York) 7 Abstract and Applied Analysis 7 Boundary Value Problems 7 Advances in Mathematical Physics 6 Computer Physics Communications 6 Reports on Mathematical Physics 6 Journal of Approximation Theory 6 Results in Mathematics 6 Computational Mechanics 6 Mathematical and Computer Modelling 6 European Journal of Applied Mathematics 6 Journal of Elasticity 6 Computational and Applied Mathematics 6 Georgian Mathematical Journal 6 Discrete and Continuous Dynamical Systems. Series B 6 Acta Mathematica Scientia. Series B. (English Edition) 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Automatica 5 Duke Mathematical Journal 5 Moscow University Computational Mathematics and Cybernetics 5 Applied Mathematics and Mechanics. (English Edition) 5 Acta Applicandae Mathematicae 5 Computational Mathematics and Modeling 5 Japan Journal of Industrial and Applied Mathematics 5 Calculus of Variations and Partial Differential Equations ...and 218 more Serials all top 5 Cited in 50 Fields 1,916 Partial differential equations (35-XX) 1,176 Numerical analysis (65-XX) 942 Optics, electromagnetic theory (78-XX) 401 Fluid mechanics (76-XX) 313 Mechanics of deformable solids (74-XX) 281 Integral equations (45-XX) 126 Operator theory (47-XX) 110 Potential theory (31-XX) 96 Ordinary differential equations (34-XX) 85 Calculus of variations and optimal control; optimization (49-XX) 66 Biology and other natural sciences (92-XX) 53 Quantum theory (81-XX) 50 Information and communication theory, circuits (94-XX) 42 Geophysics (86-XX) 40 Approximations and expansions (41-XX) 39 Statistics (62-XX) 32 Functions of a complex variable (30-XX) 32 Systems theory; control (93-XX) 29 Special functions (33-XX) 29 Functional analysis (46-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 26 Global analysis, analysis on manifolds (58-XX) 25 Computer science (68-XX) 24 Integral transforms, operational calculus (44-XX) 24 Statistical mechanics, structure of matter (82-XX) 23 Classical thermodynamics, heat transfer (80-XX) 20 Probability theory and stochastic processes (60-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 13 Operations research, mathematical programming (90-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Real functions (26-XX) 7 Measure and integration (28-XX) 4 General and overarching topics; collections (00-XX) 4 Several complex variables and analytic spaces (32-XX) 3 History and biography (01-XX) 3 Geometry (51-XX) 3 Astronomy and astrophysics (85-XX) 2 Number theory (11-XX) 2 Difference and functional equations (39-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 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-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