Edit Profile (opens in new tab) Potthast, Roland W. E. Compute Distance To: Compute Author ID: potthast.roland-w-e Published as: Potthast, Roland; Potthast, Roland W. E.; Potthast, R. more...less External Links: ORCID Documents Indexed: 74 Publications since 1994, including 2 Books 3 Contributions as Editor Co-Authors: 55 Co-Authors with 56 Joint Publications 766 Co-Co-Authors all top 5 Co-Authors 21 single-authored 6 beim Graben, Peter 6 Erhard, Klaus 5 Nakamura, Gen 4 Sini, Mourad 3 Chandler-Wilde, Simon N. 3 Heinemeyer, Eric 3 Kühn, Lars 3 Liu, Jijun 2 Ben Hassen, M. F. 2 Burkard, Corinna 2 Colton, David Lem 2 Coombes, Stephen 2 Hauer, Karl-Heinz 2 Kress, Rainer 2 Lawless, Amos S. 2 Luke, David Russell 2 Nadeem, Aamir 2 Schulz, Jochen 2 Stratis, Ioannis G. 2 Wannert, Martin 2 Zia, Qazi Muhammad Zaigham 1 Alswaihli, Jehan 1 Bojak, Ingo 1 Dambrine, Marc 1 Delbary, Fabrice 1 Eckel, Harry 1 Fahmi, Ben Hassen 1 Fazi, Filippo Maria 1 Freitag, Melina A. 1 Gen, Nakamura 1 Harrach, Bastian 1 Hettlich, Frank 1 Holderbaum, William 1 Honda, Naofumi 1 Hutt, Axel 1 Jahn, Tim 1 Jakubik, Peter 1 Kusiak, Steven 1 Lin, Yi-Hsuan 1 Lindner, Marko 1 Lowery, Natalie 1 Marx, Boris A. 1 Moodey, Alexander J. F. 1 Nelson, Philip A. 1 Otkin, Jason A. 1 Piana, Michele 1 Rhodin, Andreas 1 Saddy, Douglas 1 Sylvester, John Herbert 1 Vahdati, Maria 1 van Leeuwen, Peter Jan 1 Wang, Haibing 1 Wright, James J. 1 Yakhno, Valery Georgievich 1 Yaman, Fatih all top 5 Serials 17 Inverse Problems 7 Mathematical Methods in the Applied Sciences 5 Journal of Computational and Applied Mathematics 4 Journal of Integral Equations and Applications 4 SIAM Journal on Applied Mathematics 3 IMA Journal of Applied Mathematics 2 Computing 2 Numerische Mathematik 2 Journal of Computational Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 SIAM Journal on Applied Dynamical Systems 2 Inverse Problems and Imaging 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Applied Numerical Mathematics 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 Journal of Inverse and Ill-Posed Problems 1 Mathematical Problems in Engineering 1 Chaos 1 Oberwolfach Reports 1 Chapman & Hall/CRC Research Notes in Mathematics 1 GEM - International Journal on Geomathematics 1 The Journal of Mathematical Neuroscience all top 5 Fields 54 Partial differential equations (35-XX) 36 Optics, electromagnetic theory (78-XX) 32 Numerical analysis (65-XX) 18 Fluid mechanics (76-XX) 15 Integral equations (45-XX) 10 Biology and other natural sciences (92-XX) 9 Geophysics (86-XX) 8 Potential theory (31-XX) 8 Operator theory (47-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 3 Statistics (62-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 865 times in 525 Documents Cited by ▼ Year ▼ A survey on sampling and probe methods for inverse problems. Zbl 1094.35144Potthast, Roland 75 2006 A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123Colton, David; Piana, Michele; Potthast, Roland 65 1997 Point sources and multipoles in inverse scattering theory. Zbl 0985.78016Potthast, Roland 61 2001 Fréchet differentiability of boundary integral operators in inverse acoustic scattering. Zbl 0805.35157Potthast, Roland 57 1994 A study on orthogonality sampling. Zbl 1194.35509Potthast, Roland 35 2010 Neural fields. Theory and applications. Zbl 1291.92004 32 2014 Domain derivatives in electromagnetic scattering. Zbl 0866.35019Potthast, Roland 27 1996 A ‘range test’ for determining scatterers with unknown physical properties. Zbl 1033.35140Potthast, Roland; Sylvester, John; Kusiak, Steven 26 2003 Existence and properties of solutions for neural field equations. Zbl 1190.35221Potthast, Roland; beim Graben, Peter 24 2010 Stability estimates and reconstructions in inverse acoustic scattering using singular sources. Zbl 0980.76085Potthast, Roland 23 2000 Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain. Zbl 0858.35139Potthast, Roland 22 1996 A point source method for inverse acoustic and electromagnetic obstacle scattering problems. Zbl 0912.76083Potthast, Roland 22 1998 The no response test – a sampling method for inverse scattering problems. Zbl 1038.35165Luke, D. Russell; Potthast, Roland 22 2003 Testing the integrity of some cavity - the Cauchy problem and the range test. Zbl 1151.78011Jakubik, Peter; Potthast, Roland 22 2008 On the convergence of a new Newton-type method in inverse scattering. Zbl 0985.35111Potthast, Roland 21 2001 A fast new method to solve inverse scattering problems. Zbl 0870.35126Potthast, Roland 18 1996 Inverse problems in neural field theory. Zbl 1402.92026Potthast, Roland; Graben, Peter Beim 17 2009 Electromagnetic scattering from an orthotropic medium. Zbl 0980.78004Potthast, Roland 16 1999 A time-domain probe method for three-dimensional rough surface reconstructions. Zbl 1209.65092Burkard, Corinna; Potthast, Roland 15 2009 Acoustic scattering by mildly rough unbounded surfaces in three dimensions. Zbl 1141.35041Chandler-Wilde, Simon N.; Heinemeyer, Eric; Potthast, Roland 15 2006 On uniqueness and non-uniqueness for current reconstruction from magnetic fields. Zbl 1071.35124Hauer, Karl-Heinz; Kühn, Lars; Potthast, Roland 15 2005 A multi-section approach for rough surface reconstruction via the Kirsch-Kress scheme. Zbl 1187.35275Burkard, C.; Potthast, R. 13 2010 Inverse modeling. An introduction to the theory and methods of inverse problems and data assimilation. Zbl 1346.65029Nakamura, Gen; Potthast, Roland 13 2015 Inverse problems in dynamic cognitive modeling. Zbl 1311.92025beim Graben, Peter; Potthast, Roland 13 2009 A well-posed integral equation formulation for three-dimensional rough surface scattering. Zbl 1149.78308Chandler-Wilde, Simon N.; Heinemeyer, Eric; Potthast, Roland 12 2006 Reconstruction of a current distribution from its magnetic field. Zbl 1043.35147Kress, Rainer; Kühn, Lars; Potthast, Roland 10 2002 On source analysis by wave splitting with applications in inverse scattering of multiple obstacles. Zbl 1142.35533Fahmi, Ben Hassen; Liu, Jijun; Potthast, Roland 10 2007 Inverse electromagnetic scattering in a two-layered medium with an application to mine detection. Zbl 1137.78319Delbary, Fabrice; Erhard, Klaus; Kress, Rainer; Potthast, Roland; Schulz, Jochen 10 2008 Sampling and probe methods – an algorithmical view. Zbl 1075.35110Potthast, Roland 9 2005 Source splitting via the point source method. Zbl 1197.94109Potthast, Roland; Fazi, Filippo M.; Nelson, Philip A. 9 2010 A numerical study of the probe method. Zbl 1162.35457Erhard, Klaus; Potthast, Roland 9 2006 The point source method for inverse scattering in the time domain. Zbl 1112.35148Luke, D. Russell; Potthast, Roland 8 2006 A survey on inverse problems for applied sciences. Zbl 1299.35321Yaman, Fatih; Yakhno, Valery G.; Potthast, Roland 8 2013 On the convergence of the no response test. Zbl 1131.78005Potthast, Roland 8 2007 On the domain derivative for scattering by impenetrable obstacles in chiral media. Zbl 1062.78009Potthast, Roland; Stratis, Ioannis G. 7 2003 Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test. Zbl 1110.35107Nakamura, Gen; Potthast, Roland; Sini, Mourad 6 2006 The inverse electromagnetic scattering problem for an anisotropic medium. Zbl 0967.78006Colton, David; Potthast, Roland 6 1999 The point-source method for 3D reconstructions for the Helmholtz and Maxwell equations. Zbl 1089.78017Ben Hassen, M. F.; Erhard, K.; Potthast, R. 6 2006 Synergy of inverse problems and data assimilation techniques. Zbl 1291.65171Freitag, Melina A.; Potthast, Roland W. E. 6 2013 The domain derivative in rough-surface scattering and rigorous estimates for first-order perturbation theory. Zbl 1060.35095Chandler-Wilde, Simon N.; Potthast, Roland 6 2002 Integral equation methods in electromagnetic scattering from anisotropic media. Zbl 1054.78014Potthast, Roland 5 2000 Beyond the Bakushinkii veto: regularising linear inverse problems without knowing the noise distribution. Zbl 1453.65124Harrach, Bastian; Jahn, Tim; Potthast, Roland 5 2020 The singular sources method for an inverse transmission problem. Zbl 1075.35109Potthast, R.; Stratis, I. 4 2005 A multiwave range test for obstacle reconstructions with unknown physical properties. Zbl 1124.65104Potthast, Roland; Schulz, Jochen 4 2007 A new non-iterative singular sources method for the reconstruction of piecewise constant media. Zbl 1061.65120Potthast, Roland 4 2004 Nonlinear error dynamics for cycled data assimilation methods. Zbl 1312.37049Moodey, Alexander J. F.; Lawless, Amos S.; Potthast, Roland W. E.; van Leeuwen, Peter Jan 4 2013 The no-response approach and its relation to non-iterative methods for the inverse scattering. Zbl 1162.35340Honda, Naofumi; Nakamura, Gen; Potthast, Roland; Sini, Mourad 4 2008 On instabilities in data assimilation algorithms. Zbl 1269.65051Marx, Boris A.; Potthast, Roland W. E. 3 2012 Algorithms for magnetic tomography-on the role of a priori knowledge and constraints. Zbl 1153.35404Hauer, Karl-Heinz; Potthast, Roland; Wannert, Martin 3 2008 On the convergence of the finite integration technique for the anisotropic boundary value problem of magnetic tomography. Zbl 1090.65154Potthast, Roland; Kühn, Lars 3 2003 The point source method for reconstructing an inclusion from boundary measurements in electrical impedance tomography and acoustic scattering. Zbl 1054.35126Erhard, Klaus; Potthast, Roland 3 2003 The no response test for the reconstruction of polyhedral objects in electromagnetics. Zbl 1202.78017Potthast, Roland; Sini, Mourad 3 2010 Convergence and numerics of a multisection method for scattering by three-dimensional rough surfaces. Zbl 1173.65070Heinemeyer, Eric; Lindner, Marko; Potthast, Roland 3 2008 The range test and the no response test for Oseen problems: theoretical foundation. Zbl 1382.76205Zia, Qazi Muhammad Zaigham; Potthast, Roland W. E. 2 2016 The singular sources method for 3D inverse acoustic obstacle scattering problems. Zbl 1186.35237Ben Hassen, M. F.; Erhard, K.; Potthast, R. 2 2010 A set-handling approach for the no-response test and related methods. Zbl 1113.35138Potthast, Roland 2 2004 A new approach and error analysis for reconstructing the scattered wave by the point source method. Zbl 1142.35490Liu, Jijun; Gen, Nakamura; Potthast, Roland 2 2007 Tutorial on neural field theory. Zbl 1462.92011Coombes, Stephen; Graben, Peter Beim; Potthast, Roland 2 2014 Transformed and generalized localization for ensemble methods in data assimilation. Zbl 1339.45011Nadeem, Aamir; Potthast, Roland 1 2016 On sequential multiscale inversion and data assimilation. Zbl 1382.65163Nadeem, Aamir; Potthast, Roland; Rhodin, Andreas 1 2018 Flow and shape reconstructions from remote measurements. Zbl 1329.76067Zia, Qazi Muhammad Zaigham; Potthast, Roland W. E. 1 2013 Uniqueness of current reconstructions for magnetic tomography in multilayer devices. Zbl 1189.31007Potthast, Roland; Wannert, Martin 1 2009 On a concept of uniqueness in inverse scattering for a finite number of incident waves. Zbl 0906.35112Potthast, Roland 1 1998 On masking operations for the point-source method solving inverse boundary value problems. Zbl 1075.78009Erhard, Klaus; Potthast, Roland 1 2003 An evolutionary Newton method for shape reconstruction. Zbl 1135.65391Eckel, Harry; Potthast, Roland 1 2007 A comparative study between some non-iterative methods for the inverse scattering. Zbl 1110.35106Nakamura, Gen; Potthast, Roland; Sini, Mourad 1 2006 Beyond the Bakushinkii veto: regularising linear inverse problems without knowing the noise distribution. Zbl 1453.65124Harrach, Bastian; Jahn, Tim; Potthast, Roland 5 2020 On sequential multiscale inversion and data assimilation. Zbl 1382.65163Nadeem, Aamir; Potthast, Roland; Rhodin, Andreas 1 2018 The range test and the no response test for Oseen problems: theoretical foundation. Zbl 1382.76205Zia, Qazi Muhammad Zaigham; Potthast, Roland W. E. 2 2016 Transformed and generalized localization for ensemble methods in data assimilation. Zbl 1339.45011Nadeem, Aamir; Potthast, Roland 1 2016 Inverse modeling. An introduction to the theory and methods of inverse problems and data assimilation. Zbl 1346.65029Nakamura, Gen; Potthast, Roland 13 2015 Neural fields. Theory and applications. Zbl 1291.92004 32 2014 Tutorial on neural field theory. Zbl 1462.92011Coombes, Stephen; Graben, Peter Beim; Potthast, Roland 2 2014 A survey on inverse problems for applied sciences. Zbl 1299.35321Yaman, Fatih; Yakhno, Valery G.; Potthast, Roland 8 2013 Synergy of inverse problems and data assimilation techniques. Zbl 1291.65171Freitag, Melina A.; Potthast, Roland W. E. 6 2013 Nonlinear error dynamics for cycled data assimilation methods. Zbl 1312.37049Moodey, Alexander J. F.; Lawless, Amos S.; Potthast, Roland W. E.; van Leeuwen, Peter Jan 4 2013 Flow and shape reconstructions from remote measurements. Zbl 1329.76067Zia, Qazi Muhammad Zaigham; Potthast, Roland W. E. 1 2013 On instabilities in data assimilation algorithms. Zbl 1269.65051Marx, Boris A.; Potthast, Roland W. E. 3 2012 A study on orthogonality sampling. Zbl 1194.35509Potthast, Roland 35 2010 Existence and properties of solutions for neural field equations. Zbl 1190.35221Potthast, Roland; beim Graben, Peter 24 2010 A multi-section approach for rough surface reconstruction via the Kirsch-Kress scheme. Zbl 1187.35275Burkard, C.; Potthast, R. 13 2010 Source splitting via the point source method. Zbl 1197.94109Potthast, Roland; Fazi, Filippo M.; Nelson, Philip A. 9 2010 The no response test for the reconstruction of polyhedral objects in electromagnetics. Zbl 1202.78017Potthast, Roland; Sini, Mourad 3 2010 The singular sources method for 3D inverse acoustic obstacle scattering problems. Zbl 1186.35237Ben Hassen, M. F.; Erhard, K.; Potthast, R. 2 2010 Inverse problems in neural field theory. Zbl 1402.92026Potthast, Roland; Graben, Peter Beim 17 2009 A time-domain probe method for three-dimensional rough surface reconstructions. Zbl 1209.65092Burkard, Corinna; Potthast, Roland 15 2009 Inverse problems in dynamic cognitive modeling. Zbl 1311.92025beim Graben, Peter; Potthast, Roland 13 2009 Uniqueness of current reconstructions for magnetic tomography in multilayer devices. Zbl 1189.31007Potthast, Roland; Wannert, Martin 1 2009 Testing the integrity of some cavity - the Cauchy problem and the range test. Zbl 1151.78011Jakubik, Peter; Potthast, Roland 22 2008 Inverse electromagnetic scattering in a two-layered medium with an application to mine detection. Zbl 1137.78319Delbary, Fabrice; Erhard, Klaus; Kress, Rainer; Potthast, Roland; Schulz, Jochen 10 2008 The no-response approach and its relation to non-iterative methods for the inverse scattering. Zbl 1162.35340Honda, Naofumi; Nakamura, Gen; Potthast, Roland; Sini, Mourad 4 2008 Algorithms for magnetic tomography-on the role of a priori knowledge and constraints. Zbl 1153.35404Hauer, Karl-Heinz; Potthast, Roland; Wannert, Martin 3 2008 Convergence and numerics of a multisection method for scattering by three-dimensional rough surfaces. Zbl 1173.65070Heinemeyer, Eric; Lindner, Marko; Potthast, Roland 3 2008 On source analysis by wave splitting with applications in inverse scattering of multiple obstacles. Zbl 1142.35533Fahmi, Ben Hassen; Liu, Jijun; Potthast, Roland 10 2007 On the convergence of the no response test. Zbl 1131.78005Potthast, Roland 8 2007 A multiwave range test for obstacle reconstructions with unknown physical properties. Zbl 1124.65104Potthast, Roland; Schulz, Jochen 4 2007 A new approach and error analysis for reconstructing the scattered wave by the point source method. Zbl 1142.35490Liu, Jijun; Gen, Nakamura; Potthast, Roland 2 2007 An evolutionary Newton method for shape reconstruction. Zbl 1135.65391Eckel, Harry; Potthast, Roland 1 2007 A survey on sampling and probe methods for inverse problems. Zbl 1094.35144Potthast, Roland 75 2006 Acoustic scattering by mildly rough unbounded surfaces in three dimensions. Zbl 1141.35041Chandler-Wilde, Simon N.; Heinemeyer, Eric; Potthast, Roland 15 2006 A well-posed integral equation formulation for three-dimensional rough surface scattering. Zbl 1149.78308Chandler-Wilde, Simon N.; Heinemeyer, Eric; Potthast, Roland 12 2006 A numerical study of the probe method. Zbl 1162.35457Erhard, Klaus; Potthast, Roland 9 2006 The point source method for inverse scattering in the time domain. Zbl 1112.35148Luke, D. Russell; Potthast, Roland 8 2006 Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test. Zbl 1110.35107Nakamura, Gen; Potthast, Roland; Sini, Mourad 6 2006 The point-source method for 3D reconstructions for the Helmholtz and Maxwell equations. Zbl 1089.78017Ben Hassen, M. F.; Erhard, K.; Potthast, R. 6 2006 A comparative study between some non-iterative methods for the inverse scattering. Zbl 1110.35106Nakamura, Gen; Potthast, Roland; Sini, Mourad 1 2006 On uniqueness and non-uniqueness for current reconstruction from magnetic fields. Zbl 1071.35124Hauer, Karl-Heinz; Kühn, Lars; Potthast, Roland 15 2005 Sampling and probe methods – an algorithmical view. Zbl 1075.35110Potthast, Roland 9 2005 The singular sources method for an inverse transmission problem. Zbl 1075.35109Potthast, R.; Stratis, I. 4 2005 A new non-iterative singular sources method for the reconstruction of piecewise constant media. Zbl 1061.65120Potthast, Roland 4 2004 A set-handling approach for the no-response test and related methods. Zbl 1113.35138Potthast, Roland 2 2004 A ‘range test’ for determining scatterers with unknown physical properties. Zbl 1033.35140Potthast, Roland; Sylvester, John; Kusiak, Steven 26 2003 The no response test – a sampling method for inverse scattering problems. Zbl 1038.35165Luke, D. Russell; Potthast, Roland 22 2003 On the domain derivative for scattering by impenetrable obstacles in chiral media. Zbl 1062.78009Potthast, Roland; Stratis, Ioannis G. 7 2003 On the convergence of the finite integration technique for the anisotropic boundary value problem of magnetic tomography. Zbl 1090.65154Potthast, Roland; Kühn, Lars 3 2003 The point source method for reconstructing an inclusion from boundary measurements in electrical impedance tomography and acoustic scattering. Zbl 1054.35126Erhard, Klaus; Potthast, Roland 3 2003 On masking operations for the point-source method solving inverse boundary value problems. Zbl 1075.78009Erhard, Klaus; Potthast, Roland 1 2003 Reconstruction of a current distribution from its magnetic field. Zbl 1043.35147Kress, Rainer; Kühn, Lars; Potthast, Roland 10 2002 The domain derivative in rough-surface scattering and rigorous estimates for first-order perturbation theory. Zbl 1060.35095Chandler-Wilde, Simon N.; Potthast, Roland 6 2002 Point sources and multipoles in inverse scattering theory. Zbl 0985.78016Potthast, Roland 61 2001 On the convergence of a new Newton-type method in inverse scattering. Zbl 0985.35111Potthast, Roland 21 2001 Stability estimates and reconstructions in inverse acoustic scattering using singular sources. Zbl 0980.76085Potthast, Roland 23 2000 Integral equation methods in electromagnetic scattering from anisotropic media. Zbl 1054.78014Potthast, Roland 5 2000 Electromagnetic scattering from an orthotropic medium. Zbl 0980.78004Potthast, Roland 16 1999 The inverse electromagnetic scattering problem for an anisotropic medium. Zbl 0967.78006Colton, David; Potthast, Roland 6 1999 A point source method for inverse acoustic and electromagnetic obstacle scattering problems. Zbl 0912.76083Potthast, Roland 22 1998 On a concept of uniqueness in inverse scattering for a finite number of incident waves. Zbl 0906.35112Potthast, Roland 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 Domain derivatives in electromagnetic scattering. Zbl 0866.35019Potthast, Roland 27 1996 Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain. Zbl 0858.35139Potthast, Roland 22 1996 A fast new method to solve inverse scattering problems. Zbl 0870.35126Potthast, Roland 18 1996 Fréchet differentiability of boundary integral operators in inverse acoustic scattering. Zbl 0805.35157Potthast, Roland 57 1994 all cited Publications top 5 cited Publications all top 5 Cited by 629 Authors 26 Potthast, Roland W. E. 25 Li, Peijun 15 Kress, Rainer 14 Pelekanos, George 14 Yan, Guozheng 14 Zhang, Bo 13 Hu, Guanghui 12 Liu, Jijun 10 Cakoni, Fioralba 10 Haddar, Houssem 10 Leem, Koung Hee 10 Zhang, Haiwen 9 Guo, Yukun 9 Lechleiter, Armin 9 Lee, Kuo-Ming 9 Li, Jingzhi 9 Nakamura, Gen 9 Sini, Mourad 9 Yang, Jiaqing 8 Coombes, Stephen 8 Griesmaier, Roland 8 Li, Jianliang 8 Liu, Hongyu 8 Nguyen, Dinh Liem 8 Sevroglou, Vassilios 8 Wang, Haibing 8 Zou, Jun 7 Bao, Gang 7 Bonnet, Marc 7 Colton, David Lem 7 Guo, Jun 7 Ma, Fuming 7 Oleynik, Anna 7 Qu, Fenglong 7 Rapún, María-Luisa 7 Wyller, John A. 6 Guzina, Bojan B. 6 Ivanyshyn, Olha 6 Le Louër, Frédérique 6 Liu, Xiaodong 6 Park, Won-Kwang 6 Viloche Bazán, Fermín S. 5 Arens, Tilo 5 Athanasiadis, Christodoulos E. 5 Chow, Yat Tin 5 Grote, Marcus J. 5 Liu, Keji 5 Sun, Jiguang 5 Sylvester, John Herbert 5 Zhao, Yue 4 Avitabile, Daniele 4 Barucq, Hélène 4 beim Graben, Peter 4 Bellis, Cédric 4 Bourgeois, Laurent 4 Chandler-Wilde, Simon N. 4 Dalla Riva, Matteo 4 Djellouli, Rabia 4 Dong, Heping 4 Faugeras, Olivier D. 4 Hanke-Bourgeois, Martin 4 Hettlich, Frank 4 Karageorghis, Andreas 4 Kirsch, Andreas 4 Lesnic, Daniel 4 Liu, Xiaoli 4 Piana, Michele 4 Qin, Haihua 4 Stratis, Ioannis G. 4 Zhang, Deyue 4 Zhang, Lei 3 Adcock, Ben 3 Assous, Franck 3 Burlakov, Evgenii O. 3 Cai, Mingjian 3 Chen, Chuchu 3 Cheng, Jin 3 Cui, Yanli 3 Deng, Zhiliang 3 Francisco, Juliano B. 3 Hu, Yuqing 3 Hyvönen, Nuutti 3 Jahn, Tim 3 Johansson, B. Tomas 3 Kloeden, Peter Eris 3 Kolodina, Karina 3 Kostrykin, Vadim V. 3 Kray, Marie 3 Kwon, Kiwoon 3 Laing, Carlo R. 3 Lu, Shuai 3 Luke, David Russell 3 Meng, Shixu 3 Mindrinos, Leonidas 3 Monk, Peter B. 3 Musolino, Paolo 3 Nataf, Frédéric 3 Ponosov, Arkadiĭ Vladimirovich 3 Recoquillay, Arnaud 3 Samokhin, Aleksandr Borisovich ...and 529 more Authors all top 5 Cited in 132 Serials 42 Inverse Problems 29 Inverse Problems and Imaging 26 Journal of Computational and Applied Mathematics 25 Journal of Computational Physics 23 Applicable Analysis 18 Inverse Problems in Science and Engineering 16 Mathematical Methods in the Applied Sciences 16 Journal of Integral Equations and Applications 15 SIAM Journal on Applied Mathematics 12 SIAM Journal on Imaging Sciences 11 The Journal of Mathematical Neuroscience 10 Journal of Mathematical Analysis and Applications 10 Journal of Inverse and Ill-Posed Problems 10 Engineering Analysis with Boundary Elements 9 Journal of Differential Equations 9 Applied Numerical Mathematics 8 SIAM Journal on Scientific Computing 7 SIAM Journal on Mathematical Analysis 6 Computers & Mathematics with Applications 6 Integral Equations and Operator Theory 6 Physica D 5 Computer Methods in Applied Mechanics and Engineering 5 Wave Motion 5 Mathematics and Computers in Simulation 5 Advances in Computational Mathematics 5 SIAM Journal on Applied Dynamical Systems 4 Biological Cybernetics 4 Journal of Mathematical Physics 4 Bulletin of Mathematical Biology 4 Applied Mathematics and Computation 4 Computing 4 Quarterly of Applied Mathematics 4 Boundary Value Problems 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Scientific Computing 3 Neural Computation 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Communications in Partial Differential Equations 3 Journal of Elasticity 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Mathematical Problems in Engineering 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Communications in Computational Physics 3 GEM - International Journal on Geomathematics 3 SIAM/ASA Journal on Uncertainty Quantification 3 Electronic Research Archive 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Biology 2 BIT 2 Numerische Mathematik 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 Science in China. Series A 2 Neural Networks 2 International Journal of Computer Mathematics 2 Numerical Linear Algebra with Applications 2 Computational and Applied Mathematics 2 Journal of Computational Neuroscience 2 The Journal of Fourier Analysis and Applications 2 Mathematics and Mechanics of Solids 2 Abstract and Applied Analysis 2 The ANZIAM Journal 2 Nonlinear Analysis. Real World Applications 2 Journal of Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 Advances in Difference Equations 2 Complex Variables and Elliptic Equations 2 Advances in Mathematical Physics 1 Acta Mechanica 1 Computer Physics Communications 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Solids and Structures 1 Journal of Engineering Mathematics 1 Nonlinearity 1 Reports on Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Automatica 1 International Journal for Numerical Methods in Engineering 1 Journal of Multivariate Analysis 1 Mathematische Annalen 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Complexity 1 Computational Mechanics 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 Linear Algebra and its Applications 1 SIAM Review 1 Journal of Mathematical Imaging and Vision 1 Journal of Logic, Language and Information 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Annales Academiae Scientiarum Fennicae. Mathematica ...and 32 more Serials all top 5 Cited in 39 Fields 343 Partial differential equations (35-XX) 227 Numerical analysis (65-XX) 195 Optics, electromagnetic theory (78-XX) 78 Integral equations (45-XX) 71 Fluid mechanics (76-XX) 69 Biology and other natural sciences (92-XX) 65 Mechanics of deformable solids (74-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 25 Operator theory (47-XX) 21 Statistics (62-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Information and communication theory, circuits (94-XX) 13 Ordinary differential equations (34-XX) 13 Probability theory and stochastic processes (60-XX) 12 Potential theory (31-XX) 11 Systems theory; control (93-XX) 9 Computer science (68-XX) 8 Geophysics (86-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functions of a complex variable (30-XX) 5 Approximations and expansions (41-XX) 5 Functional analysis (46-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Quantum theory (81-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Citations by Year