Potthast, Roland W. E.

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 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
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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
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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
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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)

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 1094.35144
Potthast, Roland
2006
A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123
Colton, David; Piana, Michele; Potthast, Roland
1997
Point sources and multipoles in inverse scattering theory. Zbl 0985.78016
Potthast, Roland
2001
Fréchet differentiability of boundary integral operators in inverse acoustic scattering. Zbl 0805.35157
Potthast, Roland
1994
A study on orthogonality sampling. Zbl 1194.35509
Potthast, Roland
2010
Neural fields. Theory and applications. Zbl 1291.92004
2014
Domain derivatives in electromagnetic scattering. Zbl 0866.35019
Potthast, Roland
1996
A ‘range test’ for determining scatterers with unknown physical properties. Zbl 1033.35140
Potthast, Roland; Sylvester, John; Kusiak, Steven
2003
Existence and properties of solutions for neural field equations. Zbl 1190.35221
Potthast, Roland; beim Graben, Peter
2010
Stability estimates and reconstructions in inverse acoustic scattering using singular sources. Zbl 0980.76085
Potthast, Roland
2000
Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain. Zbl 0858.35139
Potthast, Roland
1996
A point source method for inverse acoustic and electromagnetic obstacle scattering problems. Zbl 0912.76083
Potthast, Roland
1998
The no response test – a sampling method for inverse scattering problems. Zbl 1038.35165
Luke, D. Russell; Potthast, Roland
2003
Testing the integrity of some cavity - the Cauchy problem and the range test. Zbl 1151.78011
Jakubik, Peter; Potthast, Roland
2008
On the convergence of a new Newton-type method in inverse scattering. Zbl 0985.35111
Potthast, Roland
2001
A fast new method to solve inverse scattering problems. Zbl 0870.35126
Potthast, Roland
1996
Inverse problems in neural field theory. Zbl 1402.92026
Potthast, Roland; Graben, Peter Beim
2009
Electromagnetic scattering from an orthotropic medium. Zbl 0980.78004
Potthast, Roland
1999
A time-domain probe method for three-dimensional rough surface reconstructions. Zbl 1209.65092
Burkard, Corinna; Potthast, Roland
2009
Acoustic scattering by mildly rough unbounded surfaces in three dimensions. Zbl 1141.35041
Chandler-Wilde, Simon N.; Heinemeyer, Eric; Potthast, Roland
2006
On uniqueness and non-uniqueness for current reconstruction from magnetic fields. Zbl 1071.35124
Hauer, Karl-Heinz; Kühn, Lars; Potthast, Roland
2005
A multi-section approach for rough surface reconstruction via the Kirsch-Kress scheme. Zbl 1187.35275
Burkard, C.; Potthast, R.
2010
Inverse modeling. An introduction to the theory and methods of inverse problems and data assimilation. Zbl 1346.65029
Nakamura, Gen; Potthast, Roland
2015
Inverse problems in dynamic cognitive modeling. Zbl 1311.92025
beim Graben, Peter; Potthast, Roland
2009
A well-posed integral equation formulation for three-dimensional rough surface scattering. Zbl 1149.78308
Chandler-Wilde, Simon N.; Heinemeyer, Eric; Potthast, Roland
2006
Reconstruction of a current distribution from its magnetic field. Zbl 1043.35147
Kress, Rainer; Kühn, Lars; Potthast, Roland
2002
On source analysis by wave splitting with applications in inverse scattering of multiple obstacles. Zbl 1142.35533
Fahmi, Ben Hassen; Liu, Jijun; Potthast, Roland
2007
Inverse electromagnetic scattering in a two-layered medium with an application to mine detection. Zbl 1137.78319
Delbary, Fabrice; Erhard, Klaus; Kress, Rainer; Potthast, Roland; Schulz, Jochen
2008
Sampling and probe methods – an algorithmical view. Zbl 1075.35110
Potthast, Roland
2005
Source splitting via the point source method. Zbl 1197.94109
Potthast, Roland; Fazi, Filippo M.; Nelson, Philip A.
2010
A numerical study of the probe method. Zbl 1162.35457
Erhard, Klaus; Potthast, Roland
2006
The point source method for inverse scattering in the time domain. Zbl 1112.35148
Luke, D. Russell; Potthast, Roland
2006
A survey on inverse problems for applied sciences. Zbl 1299.35321
Yaman, Fatih; Yakhno, Valery G.; Potthast, Roland
2013
On the convergence of the no response test. Zbl 1131.78005
Potthast, Roland
2007
On the domain derivative for scattering by impenetrable obstacles in chiral media. Zbl 1062.78009
Potthast, Roland; Stratis, Ioannis G.
2003
Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test. Zbl 1110.35107
Nakamura, Gen; Potthast, Roland; Sini, Mourad
2006
The inverse electromagnetic scattering problem for an anisotropic medium. Zbl 0967.78006
Colton, David; Potthast, Roland
1999
The point-source method for 3D reconstructions for the Helmholtz and Maxwell equations. Zbl 1089.78017
Ben Hassen, M. F.; Erhard, K.; Potthast, R.
2006
Synergy of inverse problems and data assimilation techniques. Zbl 1291.65171
Freitag, Melina A.; Potthast, Roland W. E.
2013
The domain derivative in rough-surface scattering and rigorous estimates for first-order perturbation theory. Zbl 1060.35095
Chandler-Wilde, Simon N.; Potthast, Roland
2002
Integral equation methods in electromagnetic scattering from anisotropic media. Zbl 1054.78014
Potthast, Roland
2000
Beyond the Bakushinkii veto: regularising linear inverse problems without knowing the noise distribution. Zbl 1453.65124
Harrach, Bastian; Jahn, Tim; Potthast, Roland
2020
The singular sources method for an inverse transmission problem. Zbl 1075.35109
Potthast, R.; Stratis, I.
2005
A multiwave range test for obstacle reconstructions with unknown physical properties. Zbl 1124.65104
Potthast, Roland; Schulz, Jochen
2007
A new non-iterative singular sources method for the reconstruction of piecewise constant media. Zbl 1061.65120
Potthast, Roland
2004
Nonlinear error dynamics for cycled data assimilation methods. Zbl 1312.37049
Moodey, Alexander J. F.; Lawless, Amos S.; Potthast, Roland W. E.; van Leeuwen, Peter Jan
2013
The no-response approach and its relation to non-iterative methods for the inverse scattering. Zbl 1162.35340
Honda, Naofumi; Nakamura, Gen; Potthast, Roland; Sini, Mourad
2008
On instabilities in data assimilation algorithms. Zbl 1269.65051
Marx, Boris A.; Potthast, Roland W. E.
2012
Algorithms for magnetic tomography-on the role of a priori knowledge and constraints. Zbl 1153.35404
Hauer, Karl-Heinz; Potthast, Roland; Wannert, Martin
2008
On the convergence of the finite integration technique for the anisotropic boundary value problem of magnetic tomography. Zbl 1090.65154
Potthast, Roland; Kühn, Lars
2003
The point source method for reconstructing an inclusion from boundary measurements in electrical impedance tomography and acoustic scattering. Zbl 1054.35126
Erhard, Klaus; Potthast, Roland
2003
The no response test for the reconstruction of polyhedral objects in electromagnetics. Zbl 1202.78017
2010
Convergence and numerics of a multisection method for scattering by three-dimensional rough surfaces. Zbl 1173.65070
Heinemeyer, Eric; Lindner, Marko; Potthast, Roland
2008
The range test and the no response test for Oseen problems: theoretical foundation. Zbl 1382.76205
Zia, Qazi Muhammad Zaigham; Potthast, Roland W. E.
2016
The singular sources method for 3D inverse acoustic obstacle scattering problems. Zbl 1186.35237
Ben Hassen, M. F.; Erhard, K.; Potthast, R.
2010
A set-handling approach for the no-response test and related methods. Zbl 1113.35138
Potthast, Roland
2004
A new approach and error analysis for reconstructing the scattered wave by the point source method. Zbl 1142.35490
Liu, Jijun; Gen, Nakamura; Potthast, Roland
2007
Tutorial on neural field theory. Zbl 1462.92011
Coombes, Stephen; Graben, Peter Beim; Potthast, Roland
2014
Transformed and generalized localization for ensemble methods in data assimilation. Zbl 1339.45011
2016
On sequential multiscale inversion and data assimilation. Zbl 1382.65163
Nadeem, Aamir; Potthast, Roland; Rhodin, Andreas
2018
Flow and shape reconstructions from remote measurements. Zbl 1329.76067
Zia, Qazi Muhammad Zaigham; Potthast, Roland W. E.
2013
Uniqueness of current reconstructions for magnetic tomography in multilayer devices. Zbl 1189.31007
Potthast, Roland; Wannert, Martin
2009
On a concept of uniqueness in inverse scattering for a finite number of incident waves. Zbl 0906.35112
Potthast, Roland
1998
On masking operations for the point-source method solving inverse boundary value problems. Zbl 1075.78009
Erhard, Klaus; Potthast, Roland
2003
An evolutionary Newton method for shape reconstruction. Zbl 1135.65391
Eckel, Harry; Potthast, Roland
2007
A comparative study between some non-iterative methods for the inverse scattering. Zbl 1110.35106
Nakamura, Gen; Potthast, Roland; Sini, Mourad
2006
Beyond the Bakushinkii veto: regularising linear inverse problems without knowing the noise distribution. Zbl 1453.65124
Harrach, Bastian; Jahn, Tim; Potthast, Roland
2020
On sequential multiscale inversion and data assimilation. Zbl 1382.65163
Nadeem, Aamir; Potthast, Roland; Rhodin, Andreas
2018
The range test and the no response test for Oseen problems: theoretical foundation. Zbl 1382.76205
Zia, Qazi Muhammad Zaigham; Potthast, Roland W. E.
2016
Transformed and generalized localization for ensemble methods in data assimilation. Zbl 1339.45011
2016
Inverse modeling. An introduction to the theory and methods of inverse problems and data assimilation. Zbl 1346.65029
Nakamura, Gen; Potthast, Roland
2015
Neural fields. Theory and applications. Zbl 1291.92004
2014
Tutorial on neural field theory. Zbl 1462.92011
Coombes, Stephen; Graben, Peter Beim; Potthast, Roland
2014
A survey on inverse problems for applied sciences. Zbl 1299.35321
Yaman, Fatih; Yakhno, Valery G.; Potthast, Roland
2013
Synergy of inverse problems and data assimilation techniques. Zbl 1291.65171
Freitag, Melina A.; Potthast, Roland W. E.
2013
Nonlinear error dynamics for cycled data assimilation methods. Zbl 1312.37049
Moodey, Alexander J. F.; Lawless, Amos S.; Potthast, Roland W. E.; van Leeuwen, Peter Jan
2013
Flow and shape reconstructions from remote measurements. Zbl 1329.76067
Zia, Qazi Muhammad Zaigham; Potthast, Roland W. E.
2013
On instabilities in data assimilation algorithms. Zbl 1269.65051
Marx, Boris A.; Potthast, Roland W. E.
2012
A study on orthogonality sampling. Zbl 1194.35509
Potthast, Roland
2010
Existence and properties of solutions for neural field equations. Zbl 1190.35221
Potthast, Roland; beim Graben, Peter
2010
A multi-section approach for rough surface reconstruction via the Kirsch-Kress scheme. Zbl 1187.35275
Burkard, C.; Potthast, R.
2010
Source splitting via the point source method. Zbl 1197.94109
Potthast, Roland; Fazi, Filippo M.; Nelson, Philip A.
2010
The no response test for the reconstruction of polyhedral objects in electromagnetics. Zbl 1202.78017
2010
The singular sources method for 3D inverse acoustic obstacle scattering problems. Zbl 1186.35237
Ben Hassen, M. F.; Erhard, K.; Potthast, R.
2010
Inverse problems in neural field theory. Zbl 1402.92026
Potthast, Roland; Graben, Peter Beim
2009
A time-domain probe method for three-dimensional rough surface reconstructions. Zbl 1209.65092
Burkard, Corinna; Potthast, Roland
2009
Inverse problems in dynamic cognitive modeling. Zbl 1311.92025
beim Graben, Peter; Potthast, Roland
2009
Uniqueness of current reconstructions for magnetic tomography in multilayer devices. Zbl 1189.31007
Potthast, Roland; Wannert, Martin
2009
Testing the integrity of some cavity - the Cauchy problem and the range test. Zbl 1151.78011
Jakubik, Peter; Potthast, Roland
2008
Inverse electromagnetic scattering in a two-layered medium with an application to mine detection. Zbl 1137.78319
Delbary, Fabrice; Erhard, Klaus; Kress, Rainer; Potthast, Roland; Schulz, Jochen
2008
The no-response approach and its relation to non-iterative methods for the inverse scattering. Zbl 1162.35340
Honda, Naofumi; Nakamura, Gen; Potthast, Roland; Sini, Mourad
2008
Algorithms for magnetic tomography-on the role of a priori knowledge and constraints. Zbl 1153.35404
Hauer, Karl-Heinz; Potthast, Roland; Wannert, Martin
2008
Convergence and numerics of a multisection method for scattering by three-dimensional rough surfaces. Zbl 1173.65070
Heinemeyer, Eric; Lindner, Marko; Potthast, Roland
2008
On source analysis by wave splitting with applications in inverse scattering of multiple obstacles. Zbl 1142.35533
Fahmi, Ben Hassen; Liu, Jijun; Potthast, Roland
2007
On the convergence of the no response test. Zbl 1131.78005
Potthast, Roland
2007
A multiwave range test for obstacle reconstructions with unknown physical properties. Zbl 1124.65104
Potthast, Roland; Schulz, Jochen
2007
A new approach and error analysis for reconstructing the scattered wave by the point source method. Zbl 1142.35490
Liu, Jijun; Gen, Nakamura; Potthast, Roland
2007
An evolutionary Newton method for shape reconstruction. Zbl 1135.65391
Eckel, Harry; Potthast, Roland
2007
A survey on sampling and probe methods for inverse problems. Zbl 1094.35144
Potthast, Roland
2006
Acoustic scattering by mildly rough unbounded surfaces in three dimensions. Zbl 1141.35041
Chandler-Wilde, Simon N.; Heinemeyer, Eric; Potthast, Roland
2006
A well-posed integral equation formulation for three-dimensional rough surface scattering. Zbl 1149.78308
Chandler-Wilde, Simon N.; Heinemeyer, Eric; Potthast, Roland
2006
A numerical study of the probe method. Zbl 1162.35457
Erhard, Klaus; Potthast, Roland
2006
The point source method for inverse scattering in the time domain. Zbl 1112.35148
Luke, D. Russell; Potthast, Roland
2006
Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test. Zbl 1110.35107
Nakamura, Gen; Potthast, Roland; Sini, Mourad
2006
The point-source method for 3D reconstructions for the Helmholtz and Maxwell equations. Zbl 1089.78017
Ben Hassen, M. F.; Erhard, K.; Potthast, R.
2006
A comparative study between some non-iterative methods for the inverse scattering. Zbl 1110.35106
Nakamura, Gen; Potthast, Roland; Sini, Mourad
2006
On uniqueness and non-uniqueness for current reconstruction from magnetic fields. Zbl 1071.35124
Hauer, Karl-Heinz; Kühn, Lars; Potthast, Roland
2005
Sampling and probe methods – an algorithmical view. Zbl 1075.35110
Potthast, Roland
2005
The singular sources method for an inverse transmission problem. Zbl 1075.35109
Potthast, R.; Stratis, I.
2005
A new non-iterative singular sources method for the reconstruction of piecewise constant media. Zbl 1061.65120
Potthast, Roland
2004
A set-handling approach for the no-response test and related methods. Zbl 1113.35138
Potthast, Roland
2004
A ‘range test’ for determining scatterers with unknown physical properties. Zbl 1033.35140
Potthast, Roland; Sylvester, John; Kusiak, Steven
2003
The no response test – a sampling method for inverse scattering problems. Zbl 1038.35165
Luke, D. Russell; Potthast, Roland
2003
On the domain derivative for scattering by impenetrable obstacles in chiral media. Zbl 1062.78009
Potthast, Roland; Stratis, Ioannis G.
2003
On the convergence of the finite integration technique for the anisotropic boundary value problem of magnetic tomography. Zbl 1090.65154
Potthast, Roland; Kühn, Lars
2003
The point source method for reconstructing an inclusion from boundary measurements in electrical impedance tomography and acoustic scattering. Zbl 1054.35126
Erhard, Klaus; Potthast, Roland
2003
On masking operations for the point-source method solving inverse boundary value problems. Zbl 1075.78009
Erhard, Klaus; Potthast, Roland
2003
Reconstruction of a current distribution from its magnetic field. Zbl 1043.35147
Kress, Rainer; Kühn, Lars; Potthast, Roland
2002
The domain derivative in rough-surface scattering and rigorous estimates for first-order perturbation theory. Zbl 1060.35095
Chandler-Wilde, Simon N.; Potthast, Roland
2002
Point sources and multipoles in inverse scattering theory. Zbl 0985.78016
Potthast, Roland
2001
On the convergence of a new Newton-type method in inverse scattering. Zbl 0985.35111
Potthast, Roland
2001
Stability estimates and reconstructions in inverse acoustic scattering using singular sources. Zbl 0980.76085
Potthast, Roland
2000
Integral equation methods in electromagnetic scattering from anisotropic media. Zbl 1054.78014
Potthast, Roland
2000
Electromagnetic scattering from an orthotropic medium. Zbl 0980.78004
Potthast, Roland
1999
The inverse electromagnetic scattering problem for an anisotropic medium. Zbl 0967.78006
Colton, David; Potthast, Roland
1999
A point source method for inverse acoustic and electromagnetic obstacle scattering problems. Zbl 0912.76083
Potthast, Roland
1998
On a concept of uniqueness in inverse scattering for a finite number of incident waves. Zbl 0906.35112
Potthast, Roland
1998
A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123
Colton, David; Piana, Michele; Potthast, Roland
1997
Domain derivatives in electromagnetic scattering. Zbl 0866.35019
Potthast, Roland
1996
Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain. Zbl 0858.35139
Potthast, Roland
1996
A fast new method to solve inverse scattering problems. Zbl 0870.35126
Potthast, Roland
1996
Fréchet differentiability of boundary integral operators in inverse acoustic scattering. Zbl 0805.35157
Potthast, Roland
1994
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
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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)