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Inverse Problems

Short Title: Inverse Probl.
Publisher: IOP Publishing, Bristol
ISSN: 0266-5611
Online: http://iopscience.iop.org/0266-5611
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 4,804 Publications (since 1985)
References Indexed: 1,234 Publications with 48,739 References.
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Latest Issues

40, No. 4 (2024)
40, No. 3 (2024)
40, No. 2 (2024)
40, No. 1 (2024)
39, No. 12 (2023)
39, No. 11 (2023)
39, No. 10 (2023)
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34, No. 12 (2018)
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33, No. 12 (2017)
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33, No. 1 (2017)
32, No. 12 (2016)
32, No. 11 (2016)
32, No. 10 (2016)
32, No. 9 (2016)
32, No. 8 (2016)
32, No. 7 (2016)
32, No. 6 (2016)
32, No. 5 (2016)
32, No. 4 (2016)
32, No. 3 (2016)
32, No. 2 (2016)
32, No. 1 (2016)
...and 209 more Volumes
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Authors

77 Yamamoto, Masahiro
43 Klibanov, Michael V.
42 Ikehata, Masaru
39 Somersalo, Erkki
36 Bertero, Mario
34 Ramlau, Ronny
33 Kaltenbacher, Barbara
31 Borcea, Liliana
31 Burger, Martin
31 Colton, David Lem
31 Scherzer, Otmar
30 Cakoni, Fioralba
29 Cheney, Margaret
29 Haddar, Houssem
29 Hofmann, Bernd
29 Nakamura, Gen
28 Bal, Guillaume
28 Jin, Bangti
28 Kaipio, Jari P.
27 Papanicolaou, George C.
26 Aktosun, Tuncay
26 Arridge, Simon R.
26 Kirsch, Andreas
26 Kress, Rainer
26 Ramm, Alexander G.
25 Hu, Guanghui
25 Liu, Hongyu
25 Louis, Alfred Karl
25 Zou, Jun
24 Calvetti, Daniela
24 Monk, Peter B.
24 Siltanen, Samuli
23 Li, Peijun
23 Rundell, William
23 Uhlmann, Gunther Alberto
22 Haltmeier, Markus
22 Novikov, Roman G.
22 Piana, Michele
21 Jin, Qinian
21 Lassas, Matti J.
20 de Hoop, Maarten V.
20 Hohage, Thorsten
20 Isakov, Victor M.
20 Lesselier, Dominique
20 Seo, Jin Keun
19 Boccacci, Patrizia
19 Cheng, Jin
19 Fokas, Athanassios S.
19 Haber, Eldad
19 Hyvönen, Nuutti
19 Kunyansky, Leonid A.
19 Liu, Xiaodong
19 Schuster, Thomas
18 Garnier, Josselin
18 Potthast, Roland W. E.
18 Zhang, Bo
17 Bao, Gang
17 Boiti, Marco
17 Elbadia, Abdellatif
17 Han, Bo
17 Lionheart, William Robert Breckon
17 Pempinelli, Flora
17 Pike, E. R.
17 Symes, William W.
16 Leitão, Antonio
16 Maass, Peter
16 Schönlieb, Carola-Bibiane
16 Tsogka, Chrysoula
15 Defrise, Michel
15 Imanuvilov, Oleg Yu.
15 Katsevich, Alexander I.
15 McLaughlin, Joyce Rogers
15 Sabatier, Pierre Célestin
15 Schotland, John C.
15 Sun, Jiguang
14 Đinh Nho Hào
14 Dorn, Oliver
14 Grünbaum, Francisco Alberto
14 Harrach, Bastian
14 Kang, Hyeonbae
14 Kolehmainen, Ville
14 Shen, Chao-Liang
14 Stefanov, Plamen D.
14 Stuart, Andrew M.
14 Vauhkonen, Marko
14 Yagle, Andrew E.
13 Akduman, Ibrahim
13 Engl, Heinz W.
13 Fannjiang, Albert C.
13 Hettlich, Frank
13 Lechleiter, Armin
13 Osses, Axel
13 Pereverzev, Sergei V.
13 Sini, Mourad
13 van den Berg, Peter M.
13 Yazici, Birsen
12 Abubakar, Aria
12 Bellassoued, Mourad
12 Borden, Brett
12 Egger, Herbert
...and 5,004 more Authors
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Fields

2,586 Partial differential equations (35-XX)
1,932 Numerical analysis (65-XX)
888 Optics, electromagnetic theory (78-XX)
600 Biology and other natural sciences (92-XX)
388 Information and communication theory, circuits (94-XX)
363 Operator theory (47-XX)
344 Integral transforms, operational calculus (44-XX)
330 Statistics (62-XX)
275 Mechanics of deformable solids (74-XX)
275 Fluid mechanics (76-XX)
275 Geophysics (86-XX)
261 Ordinary differential equations (34-XX)
234 Integral equations (45-XX)
201 Calculus of variations and optimal control; optimization (49-XX)
199 Dynamical systems and ergodic theory (37-XX)
183 Operations research, mathematical programming (90-XX)
174 Computer science (68-XX)
139 Quantum theory (81-XX)
100 Probability theory and stochastic processes (60-XX)
87 Harmonic analysis on Euclidean spaces (42-XX)
86 Systems theory; control (93-XX)
70 Global analysis, analysis on manifolds (58-XX)
57 Linear and multilinear algebra; matrix theory (15-XX)
50 Differential geometry (53-XX)
49 Statistical mechanics, structure of matter (82-XX)
43 Classical thermodynamics, heat transfer (80-XX)
41 Astronomy and astrophysics (85-XX)
39 Potential theory (31-XX)
33 Mechanics of particles and systems (70-XX)
30 Functional analysis (46-XX)
28 Functions of a complex variable (30-XX)
25 Special functions (33-XX)
24 Difference and functional equations (39-XX)
22 General and overarching topics; collections (00-XX)
20 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Approximations and expansions (41-XX)
15 Real functions (26-XX)
11 Relativity and gravitational theory (83-XX)
10 Abstract harmonic analysis (43-XX)
9 Combinatorics (05-XX)
6 History and biography (01-XX)
6 Algebraic topology (55-XX)
4 Topological groups, Lie groups (22-XX)
4 Sequences, series, summability (40-XX)
3 Convex and discrete geometry (52-XX)
3 General topology (54-XX)
2 Nonassociative rings and algebras (17-XX)
2 Measure and integration (28-XX)
2 Geometry (51-XX)
1 Number theory (11-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Manifolds and cell complexes (57-XX)

Publications by Year

Citations contained in zbMATH Open

4,020 Publications have been cited 56,000 times in 20,714 Documents Cited by Year
A unified treatment of some iterative algorithms in signal processing and image reconstruction. Zbl 1051.65067
Byrne, Charles
775
2004
Iterative oblique projection onto convex sets and the split feasibility problem. Zbl 0996.65048
Byrne, Charles
653
2002
The multiple-sets split feasibility problem and its applications for inverse problems. Zbl 1089.65046
Censor, Yair; Elfving, Tommy; Kopf, Nirit; Bortfeld, Thomas
455
2005
Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces. Zbl 1213.65085
Xu, Hong-Kun
354
2010
A variable Krasnosel’skiĭ–Mann algorithm and the multiple-set split feasibility problem. Zbl 1126.47057
Xu, Hong-Kun
310
2006
Optical tomography in medical imaging. Zbl 0926.35155
Arridge, S. R.
302
1999
The relaxed CQ algorithm solving the split feasibility problem. Zbl 1066.65047
Yang, Qingzhi
276
2004
Inverse scattering transform for the Camassa–Holm equation. Zbl 1105.37044
Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I.
249
2006
Solving the split feasibility problem without prior knowledge of matrix norms. Zbl 1262.90193
López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun
229
2012
Analysis of bounded variation penalty methods for ill-posed problems. Zbl 0809.35151
Acar, R.; Vogel, C. R.
226
1994
Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation. Zbl 1181.35322
Cheng, Jin; Nakagawa, Junichi; Yamamoto, Masahiro; Yamazaki, Tomohiro
226
2009
A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133
Colton, David; Kirsch, Andreas
224
1996
Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems. Zbl 0695.65037
Engl, Heinz W.; Kunisch, Karl; Neubauer, Andreas
219
1989
Electrical impedance tomography and Calderón’s problem. Zbl 1181.35339
Uhlmann, G.
198
2009
The split common fixed-point problem for demicontractive mappings. Zbl 1219.90185
Moudafi, A.
195
2010
A note on the \(CQ\) algorithm for the split feasibility problem. Zbl 1080.65033
Qu, Biao; Xiu, Naihua
193
2005
Electrical impedance tomography. Zbl 1031.35147
Borcea, Liliana
185
2002
A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027
Jin, Bangti; Rundell, William
175
2015
Carleman estimates for parabolic equations and applications. Zbl 1194.35512
Yamamoto, Masahiro
174
2009
Inverse problems and Carleman estimates. Zbl 0755.35151
Klibanov, Michael V.
174
1992
Multi-peakon solutions of the Degasperis-Procesi equation. Zbl 1041.35090
Lundmark, Hans; Szmigielski, Jacek
173
2003
The stability for the Cauchy problem for elliptic equations. Zbl 1190.35228
Alessandrini, Giovanni; Rondi, Luca; Rosset, Edi; Vessella, Sergio
168
2009
A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems. Zbl 0873.65057
Hanke, Martin
161
1997
Inverse source problem for a fractional diffusion equation. Zbl 1211.35280
Zhang, Ying; Xu, Xiang
156
2011
Characterization of the shape of a scattering obstacle using the spectral data of the far field operator. Zbl 0919.35147
Kirsch, Andreas
151
1998
A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators. Zbl 1131.65046
Hofmann, B.; Kaltenbacher, B.; Pöschl, C.; Scherzer, O.
151
2007
Multi-peakons and a theorem of Stieltjes. Zbl 0923.35154
Beals, R.; Sattinger, D. H.; Szmigielski, J.
148
1999
Geometry of linear ill-posed problems in variable Hilbert spaces. Zbl 1026.65040
Mathé, Peter; Pereverzev, Sergei V.
137
2003
Lipschitz stability in inverse parabolic problems by the Carleman estimate. Zbl 0992.35110
Imanuvilov, Oleg Yu; Yamamoto, Masahiro
131
1998
Tensor completion and low-\(n\)-rank tensor recovery via convex optimization. Zbl 1211.15036
Gandy, Silvia; Recht, Benjamin; Yamada, Isao
128
2011
Inverse problems in elasticity. Zbl 1070.35118
Bonnet, Marc; Constantinescu, Andrei
126
2005
Convergence rates of convex variational regularization. Zbl 1068.65085
Burger, Martin; Osher, Stanley
123
2004
Exponential instability in an inverse problem for the Schrödinger equation. Zbl 0985.35110
Mandache, Niculae
118
2001
Sparsity and incoherence in compressive sampling. Zbl 1120.94005
Candès, Emmanuel; Romberg, Justin
114
2007
Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014
Golub, Gene; Pereyra, Victor
114
2003
Several solution methods for the split feasibility problem. Zbl 1080.65035
Zhao, Jinling; Yang, Qingzhi
113
2005
On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions. Zbl 0617.35119
Boiti, M.; Leon, J. J.-P.; Manna, M.; Pempinelli, F.
113
1986
Restricted isometry properties and nonconvex compressive sensing. Zbl 1143.94004
Chartrand, Rick; Staneva, Valentina
113
2008
Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation. Zbl 1281.65125
Li, Gongsheng; Zhang, Dali; Jia, Xianzheng; Yamamoto, Masahiro
113
2013
An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203
Jin, Bangti; Rundell, William
110
2012
Ensemble Kalman methods for inverse problems. Zbl 1311.65064
Iglesias, Marco A.; Law, Kody J. H.; Stuart, Andrew M.
110
2013
Global Lipschitz stability in an inverse hyperbolic problem by interior observations. Zbl 0983.35151
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro
108
2001
Stable architectures for deep neural networks. Zbl 1426.68236
Haber, Eldad; Ruthotto, Lars
107
2018
Inverse scattering problems with multi-frequencies. Zbl 1332.78019
Bao, Gang; Li, Peijun; Lin, Junshan; Triki, Faouzi
106
2015
Structural identification of an unknown source term in a heat equation. Zbl 0917.35156
Cannon, J. R.; DuChateau, Paul
106
1998
A survey of matrix inverse eigenvalue problems. Zbl 0633.65036
Boley, Daniel; Golub, Gene H.
105
1987
Proximity algorithms for image models: denoising. Zbl 1216.94015
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng
102
2011
Thermoacoustic tomography with variable sound speed. Zbl 1177.35256
Stefanov, Plamen; Uhlmann, Gunther
102
2009
Solutions of inverse nodal problems. Zbl 0667.34020
Hald, Ole H.; McLaughlin, Joyce R.
100
1989
Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512
Strong, David; Chan, Tony
94
2003
Analysis versus synthesis in signal priors. Zbl 1138.93055
Elad, Michael; Milanfar, Peyman; Rubinstein, Ron
93
2007
Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction. Zbl 0916.35132
Cedio-Fengya, D. J.; Moskow, S.; Vogelius, M. S.
92
1998
Uniqueness and stability in an inverse problem for the Schrödinger equation. Zbl 1023.35091
Baudouin, Lucie; Puel, Jean-Pierre
92
2002
Nonlinear evolution equations, rescalings, model PDEs and their integrability. I. Zbl 0645.35087
Calogero, Francesco; Eckhaus, Wiktor
90
1987
An iterative regularization method for the solution of the split feasibility problem in Banach spaces. Zbl 1153.46308
Schöpfer, F.; Schuster, T.; Louis, A. K.
90
2008
The domain derivative and two applications in inverse scattering theory. Zbl 0773.35085
Kirsch, A.
89
1993
Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method. Zbl 0822.35154
Yamamoto, Masahiro
89
1995
A survey on sampling and probe methods for inverse problems. Zbl 1094.35144
Potthast, Roland
89
2006
Boundary control in reconstruction of manifolds and metrics (the BC method). Zbl 0990.35135
Belishev, M. I.
88
1997
Prolate spheroidal wavefunctions, quadrature and interpolation. Zbl 0991.65024
Xiao, H.; Rokhlin, V.; Yarvin, N.
88
2001
The strong convergence of a KM-CQ-like algorithm for a split feasibility problem. Zbl 1211.65065
Dang, Yazheng; Gao, Yan
87
2011
Simultaneous reconstruction of the initial temperature and heat radiative coefficient. Zbl 0987.35166
Yamamoto, Masahiro; Zou, Jun
86
2001
Optical tomography: forward and inverse problems. Zbl 1188.35197
Arridge, Simon R.; Schotland, John C.
86
2009
Level set methods for inverse scattering. Zbl 1191.35272
Dorn, Oliver; Lesselier, Dominique
84
2006
Krasnoselski–Mann iteration for hierarchical fixed-point problems. Zbl 1128.47060
Moudafi, Abdellatif
84
2007
One new strategy for a priori choice of regularizing parameters in Tikhonov’s regularization. Zbl 0957.65052
Cheng, J.; Yamamoto, M.
84
2000
An inverse source problem in potential analysis. Zbl 0963.35194
El Badia, A.; Ha-Duong, T.
83
2000
Solving Cauchy problems by minimizing an energy-like functional. Zbl 1089.35084
Andrieux, S.; Baranger, T. N.; Ben Abda, A.
83
2006
A primal-dual fixed point algorithm for convex separable minimization with applications to image restoration. Zbl 1279.65075
Chen, Peijun; Huang, Jianguo; Zhang, Xiaoqun
83
2013
Inverse spectral problems for Sturm-Liouville operators on graphs. Zbl 1089.34009
Yurko, V.
81
2005
Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations. Zbl 1372.35364
Jiang, Daijun; Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro
81
2017
Nonparametric statistical inverse problems. Zbl 1137.62323
Cavalier, L.
80
2008
MAP estimators and their consistency in Bayesian nonparametric inverse problems. Zbl 1281.62089
Dashti, M.; Law, K. J. H.; Stuart, A. M.; Voss, J.
80
2013
Solving ill-posed inverse problems using iterative deep neural networks. Zbl 1394.92070
Adler, Jonas; Öktem, Ozan
79
2017
Recent progress in the boundary control method. Zbl 1126.35089
Belishev, M. I.
79
2007
A scaled gradient projection method for constrained image deblurring. Zbl 1155.94011
Bonettini, S.; Zanella, R.; Zanni, L.
79
2009
Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024
Colton, David; Monk, Peter; Sun, Jiguang
79
2010
Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography. Zbl 1044.78513
Kaipio, Jari P.; Kolehmainen, Ville; Somersalo, Erkki; Vauhkonen, Marko
78
2000
Inverse nodal problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions. Zbl 0860.34007
Browne, Patrick J.; Sleeman, B. D.
77
1996
An inverse problem in corrosion detection. Zbl 0882.35133
Inglese, Gabriele
77
1997
Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets. Zbl 0938.35190
Bouchouev, Ilia; Isakov, Victor
77
1999
A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation. Zbl 0683.65106
Wang, Shingmin; Lin, Yanping
77
1989
Linear spectral problems, nonlinear equations and the \({\bar \partial}\)- method. Zbl 0685.35080
Beals, Richard; Coifman, R. R.
75
1989
A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123
Colton, David; Piana, Michele; Potthast, Roland
73
1997
A direct sampling method to an inverse medium scattering problem. Zbl 1241.78025
Ito, Kazufumi; Jin, Bangti; Zou, Jun
73
2012
Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates. Zbl 1205.65194
Egger, Herbert; Engl, Heinz W.
73
2005
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139
Kress, Rainer; Rundell, William
73
2005
Prolongation algebras and Hamiltonian operators for peakon equations. Zbl 1020.35096
Hone, Andrew N. W.; Wang, Jing Ping
73
2003
Logarithmic convergence rates of the iteratively regularized Gauss-Newton method for an inverse potential and an inverse scattering problem. Zbl 0895.35109
Hohage, Thorsten
72
1997
Level-set function approach to an inverse interface problem. Zbl 0986.35130
Ito, Kazufumi; Kunisch, Karl; Li, Zhilin
72
2001
Coefficient inverse problem for a fractional diffusion equation. Zbl 1278.35268
Miller, Luc; Yamamoto, Masahiro
72
2013
Numerical identification of parameters in parabolic systems. Zbl 0894.35127
Keung, Yee Lo; Zou, Jun
71
1998
Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations. Zbl 0805.65133
Cannon, J. R.; Lin, Yanping; Xu, Shuzhan
71
1994
An inverse time-dependent source problem for a time-fractional diffusion equation. Zbl 1351.65072
Wei, T.; Li, X. L.; Li, Y. S.
71
2016
Spectral transform for a two spatial dimension extension of the dispersive long wave equation. Zbl 0641.35067
Boiti, Marco; Leon, Jérôme J. P.; Pempinelli, Flora
70
1987
Explicit inversion formulae for the spherical mean Radon transform. Zbl 1127.44003
Kunyansky, Leonid A.
70
2007
On the method of Lavrentiev regularization for nonlinear ill-posed problems. Zbl 1005.65058
Tautenhahn, U.
69
2002
An implementation of the reconstruction algorithm of A. Nachman for the 2D inverse conductivity problem. Zbl 0962.35193
Siltanen, Samuli; Mueller, Jennifer; Isaacson, David
68
2000
Identification of planar cracks by complete overdetermined data: Inversion formulae. Zbl 0858.35131
Andrieux, Stéphane; Ben Abda, Amel
68
1996
Fréchet differentiability of boundary integral operators in inverse acoustic scattering. Zbl 0805.35157
Potthast, Roland
68
1994
CUQIpy. II: Computational uncertainty quantification for PDE-based inverse problems in Python. Zbl 07813324
Alghamdi, Amal M. A.; Riis, Nicolai A. B.; Afkham, Babak M.; Uribe, Felipe; Christensen, Silja L.; Christian Hansen, Per; Jørgensen, Jakob S.
2
2024
Stochastic linear regularization methods: random discrepancy principle and applications. Zbl 1530.65059
Zhang, Ye; Chen, Chuchu
1
2024
Determining a parabolic system by boundary observation of its non-negative solutions with biological applications. Zbl 1531.35395
Liu, Hongyu; Lo, Catharine W. K.
1
2024
Structured model selection via \(\ell_1-\ell_2\) optimization. Zbl 07780887
Lu, Xiaofan; Zhang, Linan; He, Hongjin
1
2024
Inverse problems for mean field games. Zbl 1520.91050
Liu, Hongyu; Mou, Chenchen; Zhang, Shen
6
2023
Maximum a posteriori estimators in \(\ell^p\) are well-defined for diagonal Gaussian priors. Zbl 1517.65044
Klebanov, Ilja; Wacker, Philipp
5
2023
Stochastic mirror descent method for linear ill-posed problems in Banach spaces. Zbl 07690472
Jin, Qinian; Lu, Xiliang; Zhang, Liuying
4
2023
Stochastic asymptotical regularization for linear inverse problems. Zbl 07632634
Zhang, Ye; Chen, Chuchu
4
2023
Uniqueness of orders and parameters in multi-term time-fractional diffusion equations by short-time behavior. Zbl 1505.35370
Liu, Yikan; Yamamoto, Masahiro
4
2023
Inverse problem for a nonlocal diffuse optical tomography equation. Zbl 07726075
Zimmermann, Philipp
3
2023
Localized ensemble Kalman inversion. Zbl 07682039
Tong, X. T.; Morzfeld, M.
3
2023
Convergence analysis of inexact Newton-Landweber iteration under Hölder stability. Zbl 1502.65031
Xia, Yuxin; Han, Bo; Fu, Zhenwu
2
2023
Inverse potential problem for a semilinear generalized fractional diffusion equation with spatio-temporal dependent coefficients. Zbl 1504.35652
Ma, Wenjun; Sun, Liangliang
2
2023
A numerical algorithm for inverse problem from partial boundary measurement arising from mean field game problem. Zbl 1504.35641
Chow, Yat Tin; Wu Fung, Samy; Liu, Siting; Nurbekyan, Levon; Osher, Stanley
2
2023
Inverse problems for constrained parabolic variational-hemivariational inequalities. Zbl 1530.49033
Migórski, Stanisław; Cai, Dong-ling; Xiao, Yi-bin
2
2023
Stable reconstruction of simple Riemannian manifolds from unknown interior sources. Zbl 1523.58035
de Hoop, Maarten V.; Ilmavirta, Joonas; Lassas, Matti; Saksala, Teemu
2
2023
Strong maximum a posteriori estimation in Banach spaces with Gaussian priors. Zbl 07765710
Lambley, Hefin
2
2023
Stability in inverse problem of an elastic plate with a curved middle surface. Zbl 1511.35383
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2
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Co-inversion of a scattering cavity and its internal sources: uniqueness, decoupling and imaging. Zbl 1512.35684
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2
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On the exactness of the universal backprojection formula for the spherical means Radon transform. Zbl 1515.44001
Agranovsky, M.; Kunyansky, L.
2
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Deep learning methods for partial differential equations and related parameter identification problems. Zbl 1527.35501
Nganyu Tanyu, Derick; Ning, Jianfeng; Freudenberg, Tom; Heilenkötter, Nick; Rademacher, Andreas; Iben, Uwe; Maass, Peter
1
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On the simultaneous reconstruction of the nonlinearity coefficient and the sound speed in the Westervelt equation. Zbl 1527.35494
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1
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Iterative inversion of the tensor momentum x-ray transform. Zbl 07770228
Denisiuk, Aleksander
1
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When artificial parameter evolution gets real: particle filtering for time-varying parameter estimation in deterministic dynamical systems. Zbl 1512.93135
Arnold, Andrea
1
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On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary. Zbl 1507.35337
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1
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A statistical framework for domain shape estimation in Stokes flows. Zbl 1520.65006
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1
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Sparse optimization problems in fractional order Sobolev spaces. Zbl 1510.35352
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1
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Qualitative inverse problems: mapping data to the features of trajectories and parameter values of an ODE model. Zbl 07691091
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1
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Monotonicity-based shape reconstruction for an inverse scattering problem in a waveguide. Zbl 1517.35254
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1
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Reconstruction of smooth shape defects in waveguides using locally resonant frequencies. Zbl 1512.35674
Niclas, Angèle; Seppecher, Laurent
1
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Convergence analysis of critical point regularization with non-convex regularizers. Zbl 1520.65035
Obmann, Daniel; Haltmeier, Markus
1
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Hierarchical off-diagonal low-rank approximation of hessians in inverse problems, with application to ice sheet model initialization. Zbl 07707684
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1
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The inverse Rytov series for diffuse optical tomography. Zbl 07749155
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1
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An inverse problem for semilinear equations involving the fractional Laplacian. Zbl 1525.35250
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1
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Singular value decomposition for longitudinal, transverse and mixed ray transforms of 2D tensor fields. Zbl 07770232
Polyakova, Anna P.; Svetov, Ivan E.
1
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Phase recovery from phaseless scattering data for discrete Schrödinger operators. Zbl 07765706
Novikov, Roman; Sharma, Basant Lal
1
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Stability estimates for the expected utility in Bayesian optimal experimental design. Zbl 07765708
Duong, Duc-Lam; Helin, Tapio; Rojo-Garcia, Jose Rodrigo
1
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Uniformly convex neural networks and non-stationary iterated network Tikhonov (iNETT) method. Zbl 07672406
Bianchi, Davide; Lai, Guanghao; Li, Wenbin
1
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Uniqueness in determining rectangular grating profiles with a single incoming wave. I: TE polarization case. Zbl 1511.35385
Xiang, Jianli; Hu, Guanghui
1
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Reconstructing the image scanning microscopy dataset: an inverse problem. Zbl 1515.78020
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1
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Size estimates for nanoplates. Zbl 1532.74038
Morassi, Antonino; Rosset, Edi; Sincich, Eva; Vessella, Sergio
1
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Translation invariant diagonal frame decomposition of inverse problems and their regularization. Zbl 1515.65143
Göppel, Simon; Frikel, Jürgen; Haltmeier, Markus
1
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A new sampling indicator function for stable imaging of periodic scattering media. Zbl 1516.35532
Nguyen, Dinh-Liem; Stahl, Kale; Truong, Trung
1
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Weighted Radon transforms of vector fields, with applications to magnetoacoustoelectric tomography. Zbl 1525.44001
Kunyansky, L.; McDugald, E.; Shearer, B.
1
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Vertical autofocus for the phase screen in a turbulent ionosphere. Zbl 1510.94011
Gilman, Mikhail; Tsynkov, Semyon
1
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Convergence rate analysis of Galerkin approximation of inverse potential problem. Zbl 1504.35645
Jin, Bangti; Lu, Xiliang; Quan, Qimeng; Zhou, Zhi
1
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Stability and numerical analysis of backward problem for subdiffusion with time-dependent coefficients. Zbl 1507.35346
Zhang, Zhengqi; Zhou, Zhi
1
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Masked unbiased principles for parameter selection in variational image restoration under Poisson noise. Zbl 1507.94009
Bevilacqua, Francesca; Lanza, Alessandro; Pragliola, Monica; Sgallari, Fiorella
1
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Discrete Calderón problem with partial data. Zbl 1507.65165
Lecaros, Rodrigo; Ortega, Jaime H.; Pérez, Ariel; De Teresa, Luz
1
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Spectral decomposition of atomic structures in heterogeneous cryo-EM. Zbl 1507.78008
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1
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Imaging based on Compton scattering: model uncertainty and data-driven reconstruction methods. Zbl 1507.35340
Gödeke, Janek; Rigaud, Gaël
1
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The \(C^\infty\)-isomorphism property for a class of singularly-weighted x-ray transforms. Zbl 1514.44001
Mishra, Rohit Kumar; Monard, François; Zou, Yuzhou
1
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Distributed spectral pairwise ranking algorithms. Zbl 1532.68079
Guo, Zheng-Chu; Hu, Ting; Shi, Lei
1
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Uniqueness for inverse source problems for fractional diffusion-wave equations by data during not acting time. Zbl 1505.35372
Yamamoto, M.
1
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Parameter choices for sparse regularization with the \(\ell_1\) norm. Zbl 07640701
Liu, Qianru; Wang, Rui; Xu, Yuesheng; Yan, Mingsong
1
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Rethinking data-driven point spread function modeling with a differentiable optical model. Zbl 1510.78023
Liaudat, Tobias; Starck, Jean-Luc; Kilbinger, Martin; Frugier, Pierre-Antoine
1
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Inverse problems for generalized quasi-variational inequalities with application to elliptic mixed boundary value systems. Zbl 1487.49045
Cen, Jinxia; Khan, Akhtar A.; Motreanu, Dumitru; Zeng, Shengda
18
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Simultaneous recoveries for semilinear parabolic systems. Zbl 1498.35620
Lin, Yi-Hsuan; Liu, Hongyu; Liu, Xu; Zhang, Shen
13
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\(\Gamma\)-convergence of Onsager-Machlup functionals. I: With applications to maximum a posteriori estimation in Bayesian inverse problems. Zbl 07455594
Ayanbayev, Birzhan; Klebanov, Ilja; Lie, Han Cheng; Sullivan, T. J.
8
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A generalized quasi-boundary value method for recovering a source in a fractional diffusion-wave equation. Zbl 07489711
Wei, Ting; Luo, Yuhua
8
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Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equations. Zbl 1483.35343
Nguyen, Loc H.; Klibanov, Michael V.
6
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\(\Gamma\)-convergence of Onsager-Machlup functionals. II: Infinite product measures on Banach spaces. Zbl 07455595
Ayanbayev, Birzhan; Klebanov, Ilja; Lie, Han Cheng; Sullivan, T. J.
6
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Adaptive Tikhonov strategies for stochastic ensemble Kalman inversion. Zbl 1485.65069
Weissmann, Simon; Chada, Neil K.; Schillings, Claudia; Tong, Xin T.
6
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On stochastic Kaczmarz type methods for solving large scale systems of ill-posed equations. Zbl 1480.65137
Rabelo, J. C.; Saporito, Y. F.; Leitão, A.
5
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Imaging of 3D objects with experimental data using orthogonality sampling methods. Zbl 1480.78012
Le, Thu; Nguyen, Dinh-Liem; Schmidt, Hayden; Truong, Trung
5
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Fixed-distance multipoint formulas for the scattering amplitude from phaseless measurements. Zbl 1481.35405
Novikov, R. G.; Sivkin, V. N.
5
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Inverse moving point source problem for the wave equation. Zbl 1501.35452
Al Jebawy, Hanin; Elbadia, Abdellatif; Triki, Faouzi
5
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Efficient derivative-free Bayesian inference for large-scale inverse problems. Zbl 07611872
Huang, Daniel Zhengyu; Huang, Jiaoyang; Reich, Sebastian; Stuart, Andrew M.
5
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Stable determination of coefficients in semilinear parabolic system with dynamic boundary conditions. Zbl 1498.35611
Ait Ben Hassi, El Mustapha; Chorfi, Salah-Eddine; Maniar, Lahcen
5
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A noniterative reconstruction method for solving a time-fractional inverse source problem from partial boundary measurements. Zbl 1479.35955
Prakash, R.; Hrizi, M.; Novotny, A. A.
4
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Inversion formulae for ray transforms in vector and tensor tomography. Zbl 1518.65124
Louis, Alfred K.
4
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Imaging conductivity from current density magnitude using neural networks. Zbl 1492.92043
Jin, Bangti; Li, Xiyao; Lu, Xiliang
4
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Determining damping terms in fractional wave equations. Zbl 1491.35462
Kaltenbacher, Barbara; Rundell, William
4
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Task adapted reconstruction for inverse problems. Zbl 07543696
Adler, Jonas; Lunz, Sebastian; Verdier, Olivier; Schönlieb, Carola-Bibiane; Öktem, Ozan
4
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Un-supervised learning for blind image deconvolution via Monte-Carlo sampling. Zbl 07474168
Li, Ji; Nan, Yuesong; Ji, Hui
4
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On regularization via frame decompositions with applications in tomography. Zbl 1510.65111
Hubmer, Simon; Ramlau, Ronny; Weissinger, Lukas
4
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Simultaneous determination of different class of parameters for a diffusion equation from a single measurement. Zbl 1491.35463
Kian, Yavar
4
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Revisiting the probe and enclosure methods. Zbl 1491.35461
Ikehata, Masaru
4
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Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data. Zbl 1485.35423
Le, Thuy T.; Klibanov, Michael V.; Nguyen, Loc H.; Sullivan, Anders; Nguyen, Lam
4
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Adaptively sketched Bregman projection methods for linear systems. Zbl 1531.65051
Yuan, Zi-Yang; Zhang, Lu; Wang, Hongxia; Zhang, Hui
3
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Analysis of the inverse Born series: an approach through geometric function theory. Zbl 1491.35459
Hoskins, Jeremy G.; Schotland, John C.
3
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Graph-based prior and forward models for inverse problems on manifolds with boundaries. Zbl 07474162
Harlim, John; Jiang, Shixiao W.; Kim, Hwanwoo; Sanz-Alonso, Daniel
3
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Increasing stability in the linearized inverse Schrödinger potential problem with power type nonlinearities. Zbl 1489.35308
Lu, Shuai; Salo, Mikko; Xu, Boxi
3
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Minimizing \(L_1\) over \(L_2\) norms on the gradient. Zbl 1487.94031
Wang, Chao; Tao, Min; Chuah, Chen-Nee; Nagy, James; Lou, Yifei
3
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Determination of a spatial load in a damped Kirchhoff-Love plate equation from final time measured data. Zbl 1481.35392
Anjuna, D.; Sakthivel, K.; Hasanov, A.
3
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Distributed least squares prediction for functional linear regression. Zbl 07455591
Tong, Hongzhi
3
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High resolution 3D ultrasonic breast imaging by time-domain full waveform inversion. Zbl 07455597
Lucka, Felix; Pérez-Liva, Mailyn; Treeby, Bradley E.; Cox, Ben T.
3
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Nonstationary iterated Tikhonov regularization: convergence analysis via Hölder stability. Zbl 1503.35288
Mittal, Gaurav; Giri, Ankik Kumar
3
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Factorization method with one plane wave: from model-driven and data-driven perspectives. Zbl 1516.35527
Ma, Guanqiu; Hu, Guanghui
3
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Consistency of Bayesian inference with Gaussian process priors for a parabolic inverse problem. Zbl 1487.80018
Kekkonen, Hanne
3
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Estimate the spectrum of affine dynamical systems from partial observations of a single trajectory data. Zbl 1479.94087
Cheng, Jiahui; Tang, Sui
2
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The Dantzig selector: recovery of signal via \(\ell_1-\alpha\ell_2\) minimization. Zbl 1479.94063
Ge, Huanmin; Li, Peng
2
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Microlocal properties of seven-dimensional lemon and apple Radon transforms with applications in Compton scattering tomography. Zbl 1496.44003
Webber, James W.; Quinto, Eric Todd
2
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Mumford-Shah regularization in electrical impedance tomography with complete electrode model. Zbl 1489.35307
Jauhiainen, Jyrki; Seppänen, Aku; Valkonen, Tuomo
2
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Simultaneous recovery of a locally rough interface and the embedded obstacle with its surrounding medium. Zbl 1486.35477
Yang, Jiaqing; Li, Jianliang; Zhang, Bo
2
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Forecasting stock options prices via the solution of an ill-posed problem for the Black-Scholes equation. Zbl 1501.35405
Klibanov, Michael V.; Shananin, Aleksander A.; Golubnichiy, Kirill V.; Kravchenko, Sergey M.
2
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Non-zero constraints in elliptic PDE with random boundary values and applications to hybrid inverse problems. Zbl 1501.35451
Alberti, Giovanni S.
2
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Cones with convoluted geometry that always scatter or radiate. Zbl 1502.35200
Blåsten, Emilia L. K.; Pohjola, Valter
2
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On the uniqueness of solutions for the basis pursuit in the continuum. Zbl 1504.94031
Debarre, Thomas; Denoyelle, Quentin; Fageot, Julien
2
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Range-relaxed strategy applied to the Levenberg-Marquardt method with uniformly convex penalization term in Banach spaces. Zbl 1495.49011
Margotti, Fábio; Hafemann, Eduardo
2
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Cited by 18,959 Authors

161 Yamamoto, Masahiro
101 Liu, Hongyu
101 Nguyen Huy Tuan
99 Uhlmann, Gunther Alberto
97 Klibanov, Michael V.
90 Lesnic, Daniel
88 Yang, Chuanfu
82 Fu, Chuli
81 Wei, Ting
77 Ammari, Habib
75 Ma, Wen-Xiu
72 Yao, Jen-Chih
69 Scherzer, Otmar
67 Lassas, Matti J.
67 Yurko, Vjacheslav Anatoljevich
65 Geng, Xianguo
63 Hofmann, Bernd
62 Dehghan Takht Fooladi, Mehdi
60 Li, Peijun
59 Kaltenbacher, Barbara
59 Kian, Yavar
59 Kumam, Poom
58 Hu, Guanghui
58 Jin, Bangti
58 Liu, Jijun
58 Yin, Zhaoyang
57 Fan, Engui
57 Xiong, Xiangtuan
57 Yao, Yonghong
55 de Hoop, Maarten V.
54 Mewomo, Oluwatosin Temitope
53 Bondarenko, Natalia P.
53 Han, Bo
53 Ramm, Alexander G.
52 Ceng, Lu-Chuan
51 Nakamura, Gen
51 Shehu, Yekini
50 Zou, Jun
49 Salo, Mikko
49 Stuart, Andrew M.
48 Bellassoued, Mourad
48 Haddar, Houssem
48 Reichel, Lothar
47 Cakoni, Fioralba
47 Hasanoǧlu, Alemdar
47 Yang, Fan
46 Banks, Harvey Thomas
45 Garnier, Josselin
45 Liou, Yeongcheng
45 Ramlau, Ronny
43 Haltmeier, Markus
43 Marin, Liviu
42 Fokas, Athanassios S.
42 Lu, Shuai
42 Oksanen, Lauri
42 Trong, Dang Duc
41 Li, Jingzhi
41 Yan, Guozheng
40 Pereverzev, Sergei V.
40 Zeng, Shengda
39 Burger, Martin
39 Cheng, Jin
39 He, Jingsong
39 Sakhnovich, Alexander L.
39 Vessella, Sergio
38 Cholamjiak, Prasit
38 Choulli, Mourad
38 Khan, Akhtar Ali
38 Kress, Rainer
38 Li, Xiaoxiao
38 Liu, Chein-Shan
38 Nguyen, Loc Hoang
38 Sini, Mourad
37 Bal, Guillaume
37 Bao, Gang
37 Hyvönen, Nuutti
37 Mathé, Peter
37 Novikov, Roman G.
37 Park, Won-Kwang
37 Tian, Shoufu
37 Zhang, Bo
36 Belishev, Mikhail Igorevitch
36 George, Santhosh
36 Hu, Xingbiao
36 Reich, Simeon
36 Stefanov, Plamen D.
36 Sun, Jiguang
36 Wang, Jenn-Nan
36 Wei, Guangsheng
35 Chang, Shih-Sen
35 Korotyaev, Evgeny L.
35 Romanov, Vladimir Gavrilovich
35 Schönlieb, Carola-Bibiane
35 Van der Mee, Cornelis Victor Maria
34 Huang, Ting-Zhu
34 Kunisch, Karl
34 Novotny, Antonio André
33 Aktosun, Tuncay
33 Buterin, Sergey Alexandrovich
33 Censor, Yair
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Cited in 887 Journals

1,113 Inverse Problems
517 Journal of Inverse and Ill-Posed Problems
509 Inverse Problems in Science and Engineering
495 Journal of Mathematical Physics
495 Journal of Computational and Applied Mathematics
451 Applied Mathematics and Computation
421 Inverse Problems and Imaging
403 Journal of Mathematical Analysis and Applications
401 Mathematical Methods in the Applied Sciences
399 Applicable Analysis
398 Journal of Computational Physics
299 SIAM Journal on Imaging Sciences
280 Computers & Mathematics with Applications
245 Journal of Differential Equations
215 Applied Mathematics Letters
212 Numerical Algorithms
209 Physics Letters. A
207 SIAM Journal on Scientific Computing
196 Computer Methods in Applied Mechanics and Engineering
194 Journal of Scientific Computing
172 Applied and Computational Harmonic Analysis
167 SIAM Journal on Mathematical Analysis
155 Theoretical and Mathematical Physics
153 Journal of Nonlinear Mathematical Physics
150 SIAM Journal on Applied Mathematics
144 Numerical Functional Analysis and Optimization
140 Applied Numerical Mathematics
139 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
139 Journal of Inequalities and Applications
138 Applied Mathematical Modelling
137 Journal of Mathematical Imaging and Vision
133 Linear Algebra and its Applications
132 Optimization
131 Wave Motion
126 Physica D
121 Chaos, Solitons and Fractals
121 Computational and Applied Mathematics
119 Abstract and Applied Analysis
116 Journal of Optimization Theory and Applications
114 Mathematical Problems in Engineering
114 Fixed Point Theory and Applications
111 Communications in Nonlinear Science and Numerical Simulation
107 Studies in Applied Mathematics
106 Engineering Analysis with Boundary Elements
106 SIAM/ASA Journal on Uncertainty Quantification
102 Communications in Mathematical Physics
100 International Journal of Computer Mathematics
97 Computational Optimization and Applications
96 Numerische Mathematik
90 Communications in Partial Differential Equations
86 Mathematics and Computers in Simulation
84 Advances in Computational Mathematics
84 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
83 Boundary Value Problems
80 Journal of Functional Analysis
78 Journal of Mathematical Sciences (New York)
74 SIAM Journal on Numerical Analysis
73 Mathematics of Computation
68 Journal of Integral Equations and Applications
67 Computational Geosciences
65 Journal of Physics A: Mathematical and Theoretical
65 Analysis and Mathematical Physics
63 Journal de Mathématiques Pures et Appliquées. Neuvième Série
63 Nonlinear Analysis. Real World Applications
62 Results in Mathematics
62 The Journal of Fourier Analysis and Applications
61 SIAM Journal on Optimization
61 Comptes Rendus. Mathématique. Académie des Sciences, Paris
60 Journal of Geometry and Physics
60 Proceedings of the American Mathematical Society
59 Applied Mathematics and Optimization
58 Numerical Linear Algebra with Applications
58 Advances in Difference Equations
57 Journal of Applied Mathematics
55 Letters in Mathematical Physics
55 The Annals of Statistics
54 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
53 BIT
51 Transactions of the American Mathematical Society
51 Foundations of Computational Mathematics
50 Numerical Methods for Partial Differential Equations
50 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
49 Acta Applicandae Mathematicae
48 Archive for Rational Mechanics and Analysis
48 International Journal for Numerical Methods in Engineering
48 The Journal of Geometric Analysis
47 Reports on Mathematical Physics
45 Mathematical and Computer Modelling
45 Electronic Journal of Statistics
45 Advances in Mathematical Physics
44 Discrete and Continuous Dynamical Systems
44 Journal of Nonlinear Science and Applications
43 Advances in Mathematics
43 Journal of Global Optimization
43 Mathematical Programming. Series A. Series B
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42 Computer Physics Communications
42 Acta Mathematicae Applicatae Sinica. English Series
41 Mathematical Notes
41 Integral Equations and Operator Theory
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Cited in 62 Fields

9,072 Partial differential equations (35-XX)
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