# zbMATH — the first resource for mathematics

## Lechleiter, Armin

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 Author ID: lechleiter.armin Published as: Lechleiter, A.; Lechleiter, Armin Homepage: http://www.math.uni-bremen.de/zetem/cms/detail.php?template=parse_title&person=A... External Links: MGP · Wikidata · ORCID · dblp
 Documents Indexed: 58 Publications since 2006, including 1 Book Biographic References: 2 Publications
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#### Co-Authors

 6 single-authored 7 Haddar, Houssem 6 Arens, Tilo 6 Nguyen, Dinh Liem 4 Kirsch, Andreas 4 Zhang, Ruming 3 Jiang, Zixian 3 Kazimierski, Kamil S. 3 Peters, Stefan 3 Rieder, Andreas 3 Rienmüller, Tobias 2 Bürgel, Florian 2 Gintides, Drossos 2 Monk, Peter B. 2 Rennoch, Marcel 1 Bellis, Cédric 1 Cakoni, Fioralba 1 Chen, Qiang 1 Constantinescu, Andrei 1 Coquet, Thomas 1 Dörfler, Willy 1 El-Guedri, Mabrouka 1 Gerken, Thies 1 Hakula, Harri 1 Hyvönen, Nuutti 1 Jaravel, Thomas 1 Karamehmedović, Mirza 1 Konschin, Alexander 1 Lakshtanov, Evgeny L. 1 Luke, D. Russell 1 Marmorat, Simon 1 Plum, Michael 1 Ritterbusch, Sebastian 1 Sandfort, Kai 1 Schlasche, John W. 1 Schmitt, Susanne 1 Schneider, Guido 1 Sun, Jiguang 1 Wieners, Christian
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#### Serials

 13 Inverse Problems 5 SIAM Journal on Mathematical Analysis 4 Applicable Analysis 4 Mathematical Methods in the Applied Sciences 4 Inverse Problems and Imaging 3 SIAM Journal on Applied Mathematics 2 Computers & Mathematics with Applications 2 IMA Journal of Applied Mathematics 2 IMA Journal of Numerical Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Inverse Problems in Science and Engineering 2 SIAM Journal on Imaging Sciences 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 ACM Transactions on Mathematical Software 1 BIT 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Numerical Methods for Partial Differential Equations 1 Journal of Integral Equations and Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 Communications in Mathematical Sciences 1 Oberwolfach Seminars
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#### Fields

 47 Partial differential equations (35-XX) 32 Numerical analysis (65-XX) 30 Optics, electromagnetic theory (78-XX) 10 Fluid mechanics (76-XX) 6 Mechanics of deformable solids (74-XX) 5 Integral equations (45-XX) 5 Operator theory (47-XX) 3 Information and communication theory, circuits (94-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

56 Publications have been cited 410 times in 256 Documents Cited by Year
The inside-outside duality for scattering problems by inhomogeneous media. Zbl 1285.35058
Kirsch, Andreas; Lechleiter, Armin
2013
The linear sampling method revisited. Zbl 1237.65118
Arens, Tilo; Lechleiter, Armin
2009
Photonic crystals. Mathematical analysis and numerical approximation. Zbl 1238.78001
Dörfler, Willy; Lechleiter, Armin; Plum, Michael; Schneider, Guido; Wieners, Christian
2011
A sampling method for inverse scattering in the time domain. Zbl 1197.35315
Chen, Q.; Haddar, H.; Lechleiter, A.; Monk, P.
2010
A variational method for wave scattering from penetrable rough layers. Zbl 1205.78024
Lechleiter, Armin; Ritterbusch, Sebastian
2010
Newton regularizations for impedance tomography: Convergence by local injectivity. Zbl 1152.35516
Lechleiter, Armin; Rieder, Andreas
2008
The factorization method applied to the complete electrode model of impedance tomography. Zbl 1146.35096
Lechleiter, Armin; Hyvönen, Nuutti; Hakula, Harri
2008
Direct and inverse medium scattering in a three-dimensional homogeneous planar waveguide. Zbl 1228.35164
Arens, Tilo; Gintides, Drossos; Lechleiter, Armin
2011
A trigonometric Galerkin method for volume integral equations arising in TM grating scattering. Zbl 1304.78010
Lechleiter, Armin; Nguyen, Dinh-Liem
2014
The operator equations of Lippmann-Schwinger type for acoustic and electromagnetic scattering problems in $$L^{2}$$. Zbl 1179.78053
Kirsch, A.; Lechleiter, A.
2009
Newton regularizations for impedance tomography: a numerical study. Zbl 1109.65100
Lechleiter, Armin; Rieder, Andreas
2006
The Floquet-Bloch transform and scattering from locally perturbed periodic surfaces. Zbl 1354.35018
Lechleiter, Armin
2017
Analysing Ewald’s method for the evaluation of Green’s functions for periodic media. Zbl 1283.35014
Arens, Tilo; Sandfort, Kai; Schmitt, Susanne; Lechleiter, Armin
2013
The factorization method is independent of transmission eigenvalues. Zbl 1184.78020
Lechleiter, Armin
2009
An improved time domain linear sampling method for Robin and Neumann obstacles. Zbl 1290.35169
Haddar, Houssem; Lechleiter, Armin; Marmorat, Simon
2014
Towards a general convergence theory for inexact Newton regularizations. Zbl 1201.65090
Lechleiter, Armin; Rieder, Andreas
2010
Inside-outside duality and the determination of electromagnetic interior transmission eigenvalues. Zbl 1321.35225
Lechleiter, Armin; Rennoch, Marcel
2015
Variational formulations for scattering in a three-dimensional acoustic waveguide. Zbl 1158.35020
Arens, Tilo; Gintides, Drossos; Lechleiter, Armin
2008
Scattering of Herglotz waves from periodic structures and mapping properties of the Bloch transform. Zbl 1439.35359
Lechleiter, Armin; Nguyen, Dinh-Liem
2015
Electromagnetic wave scattering from rough penetrable layers. Zbl 1233.35182
2011
A regularization technique for the factorization method. Zbl 1106.35136
Lechleiter, Armin
2006
Determining transmission eigenvalues of anisotropic inhomogeneous media from far field data. Zbl 1329.35354
Lechleiter, Armin; Peters, Stefan
2015
The inside-outside duality for inverse scattering problems with near field data. Zbl 1332.78022
Lechleiter, Armin; Peters, Stefan
2015
Factorization method for electromagnetic inverse scattering from biperiodic structures. Zbl 1282.35266
Lechleiter, Armin; Nguyen, Dinh-Liem
2013
Volume integral equations for scattering from anisotropic diffraction gratings. Zbl 1267.78027
Lechleiter, Armin; Nguyen, Dinh-Liem
2013
A convergent numerical scheme for scattering of aperiodic waves from periodic surfaces based on the Floquet-Bloch transform. Zbl 1375.35107
Lechleiter, Armin; Zhang, Ruming
2017
Identifying Lamé parameters from time-dependent elastic wave measurements. Zbl 1359.74034
Lechleiter, Armin; Schlasche, John W.
2017
Analytical characterization and numerical approximation of interior eigenvalues for impenetrable scatterers from far fields. Zbl 1296.65149
Lechleiter, Armin; Peters, Stefan
2014
On uniqueness in electromagnetic scattering from biperiodic structures. Zbl 1282.78022
Lechleiter, Armin; Nguyen, Dinh-Liem
2013
Imaging of periodic dielectrics. Zbl 1194.78018
Lechleiter, Armin
2010
Non-periodic acoustic and electromagnetic, scattering from periodic structures in 3D. Zbl 1401.78009
Lechleiter, Armin; Zhang, Ruming
2017
Tikhonov regularization in $$L^p$$ applied to inverse medium scattering. Zbl 1282.65140
Lechleiter, Armin; Kazimierski, Kamil S.; Karamehmedović, Mirza
2013
Spectral volumetric integral equation methods for acoustic medium scattering in a 3D waveguide. Zbl 1328.76066
Lechleiter, Armin; Nguyen, Dinh Liem
2012
On the factorization method for a far field inverse scattering problem in the time domain. Zbl 1416.35097
Cakoni, Fioralba; Haddar, Houssem; Lechleiter, Armin
2019
Reconstruction of a time-dependent potential from wave measurements. Zbl 06789379
Gerken, Thies; Lechleiter, Armin
2017
A Floquet-Bloch transform based numerical method for scattering from locally perturbed periodic surfaces. Zbl 1380.35070
Lechleiter, Armin; Zhang, Ruming
2017
Difference factorizations and monotonicity in inverse medium scattering for contrasts with fixed sign on the boundary. Zbl 1355.78026
Lakshtanov, Evgeny; Lechleiter, Armin
2016
MUSIC for extended scatterers as an instance of the factorization method. Zbl 1194.35495
Arens, Tilo; Lechleiter, Armin; Luke, D. Russell
2009
The limiting absorption principle and a radiation condition for the scattering by a periodic layer. Zbl 06868954
Kirsch, Andreas; Lechleiter, Armin
2018
Reconstruction of local perturbations in periodic surfaces. Zbl 06858484
Lechleiter, Armin; Zhang, Ruming
2018
Artificial boundary conditions for axisymmetric eddy current probe problems. Zbl 1369.78042
Haddar, Houssem; Jiang, Zixian; Lechleiter, Armin
2014
Factorization method for the inverse Stokes problem. Zbl 1292.35330
Lechleiter, Armin; Rienmüller, Tobias
2013
A radiation condition arising from the limiting absorption principle for a closed full- or half-waveguide problem. Zbl 1406.35108
Kirsch, Andreas; Lechleiter, Armin
2018
A sparsity regularization and total variation based computational framework for the inverse medium problem in scattering. Zbl 1375.78025
Bürgel, Florian; Kazimierski, Kamil S.; Lechleiter, Armin
2017
Special issue: Scattering and inverse scattering problems. Zbl 1359.00024
Lechleiter, Armin (ed.); Sun, Jiguang (ed.)
2017
Non-linear Tikhonov regularization in Banach spaces for inverse scattering from anisotropic penetrable media. Zbl 1416.94019
Lechleiter, Armin; Rennoch, Marcel
2017
Computing interior eigenvalues of domains from far fields. Zbl 1433.78017
Jiang, Zixian; Lechleiter, Armin
2016
Indicator functions for shape reconstruction related to the linear sampling method. Zbl 1432.94011
Arens, T.; Lechleiter, A.
2015
The time-domain Lippmann-Schwinger equation and convolution quadrature. Zbl 1309.65160
Lechleiter, Armin; Monk, Peter
2015
Reconstruction of a local perturbation in inhomogeneous periodic layers from partial near field measurements. Zbl 1441.35263
Konschin, Alexander; Lechleiter, Armin
2019
Collocation discretization for an integral equation in Ocean acoustics with depth-dependent speed of sound. Zbl 1367.65176
Lechleiter, Armin; Rienmüller, Tobias
2017
Identification of magnetic deposits in 2-D axisymmetric eddy current models via shape optimization. Zbl 1348.74112
Jiang, Zixian; Haddar, Houssem; Lechleiter, Armin; El-Guedri, Mabrouka
2016
Time-harmonic acoustic wave scattering in an ocean with depth-dependent sound speed. Zbl 1336.35269
Lechleiter, A.; Rienmüller, T.
2016
The MUSIC algorithm for impedance tomography of small inclusions from discrete data. Zbl 1327.35441
Lechleiter, A.
2015
A non-iterative sampling approach using noise subspace projection for EIT. Zbl 1344.78020
Bellis, Cédric; Constantinescu, Andrei; Coquet, Thomas; Jaravel, Thomas; Lechleiter, Armin
2012
Explicit characterization of the support of non-linear inclusions. Zbl 1238.78011
Lechleiter, Armin
2011
On the factorization method for a far field inverse scattering problem in the time domain. Zbl 1416.35097
Cakoni, Fioralba; Haddar, Houssem; Lechleiter, Armin
2019
Reconstruction of a local perturbation in inhomogeneous periodic layers from partial near field measurements. Zbl 1441.35263
Konschin, Alexander; Lechleiter, Armin
2019
The limiting absorption principle and a radiation condition for the scattering by a periodic layer. Zbl 06868954
Kirsch, Andreas; Lechleiter, Armin
2018
Reconstruction of local perturbations in periodic surfaces. Zbl 06858484
Lechleiter, Armin; Zhang, Ruming
2018
A radiation condition arising from the limiting absorption principle for a closed full- or half-waveguide problem. Zbl 1406.35108
Kirsch, Andreas; Lechleiter, Armin
2018
The Floquet-Bloch transform and scattering from locally perturbed periodic surfaces. Zbl 1354.35018
Lechleiter, Armin
2017
A convergent numerical scheme for scattering of aperiodic waves from periodic surfaces based on the Floquet-Bloch transform. Zbl 1375.35107
Lechleiter, Armin; Zhang, Ruming
2017
Identifying Lamé parameters from time-dependent elastic wave measurements. Zbl 1359.74034
Lechleiter, Armin; Schlasche, John W.
2017
Non-periodic acoustic and electromagnetic, scattering from periodic structures in 3D. Zbl 1401.78009
Lechleiter, Armin; Zhang, Ruming
2017
Reconstruction of a time-dependent potential from wave measurements. Zbl 06789379
Gerken, Thies; Lechleiter, Armin
2017
A Floquet-Bloch transform based numerical method for scattering from locally perturbed periodic surfaces. Zbl 1380.35070
Lechleiter, Armin; Zhang, Ruming
2017
A sparsity regularization and total variation based computational framework for the inverse medium problem in scattering. Zbl 1375.78025
Bürgel, Florian; Kazimierski, Kamil S.; Lechleiter, Armin
2017
Special issue: Scattering and inverse scattering problems. Zbl 1359.00024
Lechleiter, Armin (ed.); Sun, Jiguang (ed.)
2017
Non-linear Tikhonov regularization in Banach spaces for inverse scattering from anisotropic penetrable media. Zbl 1416.94019
Lechleiter, Armin; Rennoch, Marcel
2017
Collocation discretization for an integral equation in Ocean acoustics with depth-dependent speed of sound. Zbl 1367.65176
Lechleiter, Armin; Rienmüller, Tobias
2017
Difference factorizations and monotonicity in inverse medium scattering for contrasts with fixed sign on the boundary. Zbl 1355.78026
Lakshtanov, Evgeny; Lechleiter, Armin
2016
Computing interior eigenvalues of domains from far fields. Zbl 1433.78017
Jiang, Zixian; Lechleiter, Armin
2016
Identification of magnetic deposits in 2-D axisymmetric eddy current models via shape optimization. Zbl 1348.74112
Jiang, Zixian; Haddar, Houssem; Lechleiter, Armin; El-Guedri, Mabrouka
2016
Time-harmonic acoustic wave scattering in an ocean with depth-dependent sound speed. Zbl 1336.35269
Lechleiter, A.; Rienmüller, T.
2016
Inside-outside duality and the determination of electromagnetic interior transmission eigenvalues. Zbl 1321.35225
Lechleiter, Armin; Rennoch, Marcel
2015
Scattering of Herglotz waves from periodic structures and mapping properties of the Bloch transform. Zbl 1439.35359
Lechleiter, Armin; Nguyen, Dinh-Liem
2015
Determining transmission eigenvalues of anisotropic inhomogeneous media from far field data. Zbl 1329.35354
Lechleiter, Armin; Peters, Stefan
2015
The inside-outside duality for inverse scattering problems with near field data. Zbl 1332.78022
Lechleiter, Armin; Peters, Stefan
2015
Indicator functions for shape reconstruction related to the linear sampling method. Zbl 1432.94011
Arens, T.; Lechleiter, A.
2015
The time-domain Lippmann-Schwinger equation and convolution quadrature. Zbl 1309.65160
Lechleiter, Armin; Monk, Peter
2015
The MUSIC algorithm for impedance tomography of small inclusions from discrete data. Zbl 1327.35441
Lechleiter, A.
2015
A trigonometric Galerkin method for volume integral equations arising in TM grating scattering. Zbl 1304.78010
Lechleiter, Armin; Nguyen, Dinh-Liem
2014
An improved time domain linear sampling method for Robin and Neumann obstacles. Zbl 1290.35169
Haddar, Houssem; Lechleiter, Armin; Marmorat, Simon
2014
Analytical characterization and numerical approximation of interior eigenvalues for impenetrable scatterers from far fields. Zbl 1296.65149
Lechleiter, Armin; Peters, Stefan
2014
Artificial boundary conditions for axisymmetric eddy current probe problems. Zbl 1369.78042
Haddar, Houssem; Jiang, Zixian; Lechleiter, Armin
2014
The inside-outside duality for scattering problems by inhomogeneous media. Zbl 1285.35058
Kirsch, Andreas; Lechleiter, Armin
2013
Analysing Ewald’s method for the evaluation of Green’s functions for periodic media. Zbl 1283.35014
Arens, Tilo; Sandfort, Kai; Schmitt, Susanne; Lechleiter, Armin
2013
Factorization method for electromagnetic inverse scattering from biperiodic structures. Zbl 1282.35266
Lechleiter, Armin; Nguyen, Dinh-Liem
2013
Volume integral equations for scattering from anisotropic diffraction gratings. Zbl 1267.78027
Lechleiter, Armin; Nguyen, Dinh-Liem
2013
On uniqueness in electromagnetic scattering from biperiodic structures. Zbl 1282.78022
Lechleiter, Armin; Nguyen, Dinh-Liem
2013
Tikhonov regularization in $$L^p$$ applied to inverse medium scattering. Zbl 1282.65140
Lechleiter, Armin; Kazimierski, Kamil S.; Karamehmedović, Mirza
2013
Factorization method for the inverse Stokes problem. Zbl 1292.35330
Lechleiter, Armin; Rienmüller, Tobias
2013
Spectral volumetric integral equation methods for acoustic medium scattering in a 3D waveguide. Zbl 1328.76066
Lechleiter, Armin; Nguyen, Dinh Liem
2012
A non-iterative sampling approach using noise subspace projection for EIT. Zbl 1344.78020
Bellis, Cédric; Constantinescu, Andrei; Coquet, Thomas; Jaravel, Thomas; Lechleiter, Armin
2012
Photonic crystals. Mathematical analysis and numerical approximation. Zbl 1238.78001
Dörfler, Willy; Lechleiter, Armin; Plum, Michael; Schneider, Guido; Wieners, Christian
2011
Direct and inverse medium scattering in a three-dimensional homogeneous planar waveguide. Zbl 1228.35164
Arens, Tilo; Gintides, Drossos; Lechleiter, Armin
2011
Electromagnetic wave scattering from rough penetrable layers. Zbl 1233.35182
2011
Explicit characterization of the support of non-linear inclusions. Zbl 1238.78011
Lechleiter, Armin
2011
A sampling method for inverse scattering in the time domain. Zbl 1197.35315
Chen, Q.; Haddar, H.; Lechleiter, A.; Monk, P.
2010
A variational method for wave scattering from penetrable rough layers. Zbl 1205.78024
Lechleiter, Armin; Ritterbusch, Sebastian
2010
Towards a general convergence theory for inexact Newton regularizations. Zbl 1201.65090
Lechleiter, Armin; Rieder, Andreas
2010
Imaging of periodic dielectrics. Zbl 1194.78018
Lechleiter, Armin
2010
The linear sampling method revisited. Zbl 1237.65118
Arens, Tilo; Lechleiter, Armin
2009
The operator equations of Lippmann-Schwinger type for acoustic and electromagnetic scattering problems in $$L^{2}$$. Zbl 1179.78053
Kirsch, A.; Lechleiter, A.
2009
The factorization method is independent of transmission eigenvalues. Zbl 1184.78020
Lechleiter, Armin
2009
MUSIC for extended scatterers as an instance of the factorization method. Zbl 1194.35495
Arens, Tilo; Lechleiter, Armin; Luke, D. Russell
2009
Newton regularizations for impedance tomography: Convergence by local injectivity. Zbl 1152.35516
Lechleiter, Armin; Rieder, Andreas
2008
The factorization method applied to the complete electrode model of impedance tomography. Zbl 1146.35096
Lechleiter, Armin; Hyvönen, Nuutti; Hakula, Harri
2008
Variational formulations for scattering in a three-dimensional acoustic waveguide. Zbl 1158.35020
Arens, Tilo; Gintides, Drossos; Lechleiter, Armin
2008
Newton regularizations for impedance tomography: a numerical study. Zbl 1109.65100
Lechleiter, Armin; Rieder, Andreas
2006
A regularization technique for the factorization method. Zbl 1106.35136
Lechleiter, Armin
2006
all top 5

#### Cited by 363 Authors

 24 Lechleiter, Armin 15 Haddar, Houssem 15 Nguyen, Dinh Liem 11 Cakoni, Fioralba 11 Zhang, Ruming 8 Hyvönen, Nuutti 7 Kleefeld, Andreas 7 Klibanov, Michael V. 6 Chesnel, Lucas 6 Harrach, Bastian 6 Hu, Guanghui 6 Li, Peijun 6 Nguyen, Loc Hoang 5 Colton, David Lem 5 Harris, Isaac 5 Mederski, Jarosław 5 Nguyen, Thi-Phong 5 Zhang, Bo 4 Bourgeois, Laurent 4 Bruno, Oscar P. 4 Garde, Henrik 4 Jin, Qinian 4 Kirsch, Andreas 4 Kress, Rainer 4 Nakamura, Gen 4 Sun, Jiguang 4 Wang, Haibing 3 Arens, Tilo 3 Bartsch, Thomas J. 3 Bonnet-Ben Dhia, Anne-Sophie 3 Bonnet, Marc 3 Costabel, Martin 3 Dardé, Jérémi 3 Jin, Bangti 3 Kolesov, Aleksandr Egorovich 3 Li, Peijun 3 Liu, Jijun 3 Liu, Keji 3 Moskow, Shari 3 Siltanen, Samuli 3 Smirnov, Yury G. 3 Staboulis, Stratos 3 Tsupak, Aleksey A. 3 Xu, Yongzhi S. 3 Yan, Guozheng 3 Zou, Jun 2 Assous, Franck 2 Audibert, Lorenzo 2 Barnett, Alex H. 2 Baronian, Vahan 2 Barucq, Hélène 2 Borcea, Liliana 2 Candiani, Valentina 2 Chandler-Wilde, Simon N. 2 Ciarlet, Patrick jun. 2 Darrigrand, Eric 2 Fernandez-Lado, Agustin G. 2 Fiddy, Michael A. 2 Gao, Yixian 2 Gehre, Matthias 2 Gerken, Thies 2 Griesmaier, Roland 2 Grote, Marcus J. 2 Guo, Jun 2 Hakula, Harri 2 Hanke-Bourgeois, Martin 2 Hong, Youngjoon 2 Jiang, Zixian 2 Khrabustovskyi, Andrii 2 Kluth, Tobias 2 Konschin, Alexander 2 Kovtunenko, Viktor Anatolievich 2 Kray, Marie 2 Lakshtanov, Evgeny L. 2 Leem, Koung Hee 2 Liu, Xiaoli 2 Maass, Peter 2 Mantile, Andrea 2 Margotti, Fábio 2 Meng, Shixu 2 Monk, Peter B. 2 Nataf, Frédéric 2 Nazarov, Sergeĭ Aleksandrovich 2 Nicholls, David P. 2 Pelekanos, George 2 Pieronek, Lukas 2 Posilicano, Andrea 2 Recoquillay, Arnaud 2 Rennoch, Marcel 2 Reyes, Juan Manuel 2 Rienmüller, Tobias 2 Rome, Scott 2 Sakly, Hamdi 2 Schneider, Guido 2 Shen, Jie 2 Sini, Mourad 2 Spence, Euan A. 2 Uhlmann, Gunther Alberto 2 Wang, Jue 2 Yin, Tao ...and 263 more Authors
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#### Cited in 70 Serials

 47 Inverse Problems 16 Applicable Analysis 16 Journal of Computational Physics 14 Inverse Problems and Imaging 8 Mathematical Methods in the Applied Sciences 8 Numerische Mathematik 8 SIAM Journal on Mathematical Analysis 7 SIAM Journal on Applied Mathematics 7 SIAM Journal on Scientific Computing 6 Computers & Mathematics with Applications 6 Journal of Computational and Applied Mathematics 6 SIAM Journal on Imaging Sciences 5 Journal of Mathematical Analysis and Applications 5 Journal of Differential Equations 5 Inverse Problems in Science and Engineering 4 Wave Motion 4 Applied Numerical Mathematics 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Inverse and Ill-Posed Problems 3 Applied Mathematics and Computation 3 BIT 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Archive for Rational Mechanics and Analysis 2 Journal of Functional Analysis 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Numerical Analysis 2 Journal of Scientific Computing 2 Journal of Integral Equations and Applications 2 Discrete and Continuous Dynamical Systems. Series S 2 Science China. Mathematics 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Integral Equations and Operator Theory 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Applied Mathematical Modelling 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Journal of Dynamics and Differential Equations 1 Russian Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Abstract and Applied Analysis 1 Journal of Mathematical Fluid Mechanics 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 Differential Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Journal of Computational Acoustics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Fixed Point Theory and Applications 1 Computational & Mathematical Methods in Medicine 1 Analysis & PDE 1 Advances in Mathematical Physics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 31 Fields

 195 Partial differential equations (35-XX) 125 Numerical analysis (65-XX) 109 Optics, electromagnetic theory (78-XX) 29 Operator theory (47-XX) 28 Fluid mechanics (76-XX) 21 Mechanics of deformable solids (74-XX) 15 Integral equations (45-XX) 13 Information and communication theory, circuits (94-XX) 11 Biology and other natural sciences (92-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Ordinary differential equations (34-XX) 6 Geophysics (86-XX) 5 Statistics (62-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

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