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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)
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32, No. 12 (2016)
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...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 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 Haber, Eldad
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 5,003 more Authors
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Fields

2,587 Partial differential equations (35-XX)
1,931 Numerical analysis (65-XX)
888 Optics, electromagnetic theory (78-XX)
600 Biology and other natural sciences (92-XX)
390 Information and communication theory, circuits (94-XX)
364 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)
274 Geophysics (86-XX)
261 Ordinary differential equations (34-XX)
234 Integral equations (45-XX)
202 Calculus of variations and optimal control; optimization (49-XX)
199 Dynamical systems and ergodic theory (37-XX)
184 Operations research, mathematical programming (90-XX)
174 Computer science (68-XX)
139 Quantum theory (81-XX)
99 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)
29 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

3,975 Publications have been cited 53,147 times in 19,605 Documents Cited by Year
A unified treatment of some iterative algorithms in signal processing and image reconstruction. Zbl 1051.65067
Byrne, Charles
752
2004
Iterative oblique projection onto convex sets and the split feasibility problem. Zbl 0996.65048
Byrne, Charles
627
2002
The multiple-sets split feasibility problem and its applications for inverse problems. Zbl 1089.65046
Censor, Yair; Elfving, Tommy; Kopf, Nirit; Bortfeld, Thomas
445
2005
A variable Krasnosel’skiĭ–Mann algorithm and the multiple-set split feasibility problem. Zbl 1126.47057
Xu, Hong-Kun
306
2006
Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces. Zbl 1213.65085
Xu, Hong-Kun
295
2010
Optical tomography in medical imaging. Zbl 0926.35155
Arridge, S. R.
292
1999
The relaxed CQ algorithm solving the split feasibility problem. Zbl 1066.65047
Yang, Qingzhi
269
2004
Inverse scattering transform for the Camassa–Holm equation. Zbl 1105.37044
Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I.
241
2006
Analysis of bounded variation penalty methods for ill-posed problems. Zbl 0809.35151
Acar, R.; Vogel, C. R.
222
1994
A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133
Colton, David; Kirsch, Andreas
218
1996
Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems. Zbl 0695.65037
Engl, Heinz W.; Kunisch, Karl; Neubauer, Andreas
214
1989
Solving the split feasibility problem without prior knowledge of matrix norms. Zbl 1262.90193
López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun
212
2012
Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation. Zbl 1181.35322
Cheng, Jin; Nakagawa, Junichi; Yamamoto, Masahiro; Yamazaki, Tomohiro
193
2009
A note on the \(CQ\) algorithm for the split feasibility problem. Zbl 1080.65033
Qu, Biao; Xiu, Naihua
191
2005
The split common fixed-point problem for demicontractive mappings. Zbl 1219.90185
Moudafi, A.
190
2010
Electrical impedance tomography and Calderón’s problem. Zbl 1181.35339
Uhlmann, G.
185
2009
Electrical impedance tomography. Zbl 1031.35147
Borcea, Liliana
171
2002
Inverse problems and Carleman estimates. Zbl 0755.35151
Klibanov, Michael V.
169
1992
Carleman estimates for parabolic equations and applications. Zbl 1194.35512
Yamamoto, Masahiro
167
2009
A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027
Jin, Bangti; Rundell, William
162
2015
The stability for the Cauchy problem for elliptic equations. Zbl 1190.35228
Alessandrini, Giovanni; Rondi, Luca; Rosset, Edi; Vessella, Sergio
160
2009
A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems. Zbl 0873.65057
Hanke, Martin
158
1997
Multi-peakon solutions of the Degasperis-Procesi equation. Zbl 1041.35090
Lundmark, Hans; Szmigielski, Jacek
154
2003
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.
150
2007
Characterization of the shape of a scattering obstacle using the spectral data of the far field operator. Zbl 0919.35147
Kirsch, Andreas
148
1998
Multi-peakons and a theorem of Stieltjes. Zbl 0923.35154
Beals, R.; Sattinger, D. H.; Szmigielski, J.
138
1999
Geometry of linear ill-posed problems in variable Hilbert spaces. Zbl 1026.65040
Mathé, Peter; Pereverzev, Sergei V.
133
2003
Inverse source problem for a fractional diffusion equation. Zbl 1211.35280
Zhang, Ying; Xu, Xiang
127
2011
Lipschitz stability in inverse parabolic problems by the Carleman estimate. Zbl 0992.35110
Imanuvilov, Oleg Yu; Yamamoto, Masahiro
127
1998
Convergence rates of convex variational regularization. Zbl 1068.65085
Burger, Martin; Osher, Stanley
121
2004
Inverse problems in elasticity. Zbl 1070.35118
Bonnet, Marc; Constantinescu, Andrei
118
2005
Sparsity and incoherence in compressive sampling. Zbl 1120.94005
Candès, Emmanuel; Romberg, Justin
113
2007
Exponential instability in an inverse problem for the Schrödinger equation. Zbl 0985.35110
Mandache, Niculae
113
2001
Several solution methods for the split feasibility problem. Zbl 1080.65035
Zhao, Jinling; Yang, Qingzhi
112
2005
Tensor completion and low-\(n\)-rank tensor recovery via convex optimization. Zbl 1211.15036
Gandy, Silvia; Recht, Benjamin; Yamada, Isao
111
2011
Restricted isometry properties and nonconvex compressive sensing. Zbl 1143.94004
Chartrand, Rick; Staneva, Valentina
110
2008
Global Lipschitz stability in an inverse hyperbolic problem by interior observations. Zbl 0983.35151
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro
106
2001
Ensemble Kalman methods for inverse problems. Zbl 1311.65064
Iglesias, Marco A.; Law, Kody J. H.; Stuart, Andrew M.
105
2013
A survey of matrix inverse eigenvalue problems. Zbl 0633.65036
Boley, Daniel; Golub, Gene H.
104
1987
Structural identification of an unknown source term in a heat equation. Zbl 0917.35156
Cannon, J. R.; DuChateau, Paul
103
1998
Stable architectures for deep neural networks. Zbl 1426.68236
Haber, Eldad; Ruthotto, Lars
102
2018
Thermoacoustic tomography with variable sound speed. Zbl 1177.35256
Stefanov, Plamen; Uhlmann, Gunther
101
2009
Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014
Golub, Gene; Pereyra, Victor
101
2003
An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203
Jin, Bangti; Rundell, William
100
2012
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
100
2013
Solutions of inverse nodal problems. Zbl 0667.34020
Hald, Ole H.; McLaughlin, Joyce R.
97
1989
Inverse scattering problems with multi-frequencies. Zbl 1332.78019
Bao, Gang; Li, Peijun; Lin, Junshan; Triki, Faouzi
97
2015
Proximity algorithms for image models: denoising. Zbl 1216.94015
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng
96
2011
Analysis versus synthesis in signal priors. Zbl 1138.93055
Elad, Michael; Milanfar, Peyman; Rubinstein, Ron
92
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.
90
1998
Uniqueness and stability in an inverse problem for the Schrödinger equation. Zbl 1023.35091
Baudouin, Lucie; Puel, Jean-Pierre
89
2002
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.
88
1986
Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method. Zbl 0822.35154
Yamamoto, Masahiro
87
1995
The domain derivative and two applications in inverse scattering theory. Zbl 0773.35085
Kirsch, A.
87
1993
The strong convergence of a KM-CQ-like algorithm for a split feasibility problem. Zbl 1211.65065
Dang, Yazheng; Gao, Yan
86
2011
Prolate spheroidal wavefunctions, quadrature and interpolation. Zbl 0991.65024
Xiao, H.; Rokhlin, V.; Yarvin, N.
86
2001
A survey on sampling and probe methods for inverse problems. Zbl 1094.35144
Potthast, Roland
86
2006
Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512
Strong, David; Chan, Tony
84
2003
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.
84
2008
Krasnoselski–Mann iteration for hierarchical fixed-point problems. Zbl 1128.47060
Moudafi, Abdellatif
83
2007
Optical tomography: forward and inverse problems. Zbl 1188.35197
Arridge, Simon R.; Schotland, John C.
82
2009
Simultaneous reconstruction of the initial temperature and heat radiative coefficient. Zbl 0987.35166
Yamamoto, Masahiro; Zou, Jun
82
2001
Level set methods for inverse scattering. Zbl 1191.35272
Dorn, Oliver; Lesselier, Dominique
82
2006
Boundary control in reconstruction of manifolds and metrics (the BC method). Zbl 0990.35135
Belishev, M. I.
82
1997
One new strategy for a priori choice of regularizing parameters in Tikhonov’s regularization. Zbl 0957.65052
Cheng, J.; Yamamoto, M.
80
2000
A primal-dual fixed point algorithm for convex separable minimization with applications to image restoration. Zbl 1279.65075
Chen, Peijun; Huang, Jianguo; Zhang, Xiaoqun
80
2013
An inverse source problem in potential analysis. Zbl 0963.35194
El Badia, A.; Ha-Duong, T.
79
2000
Solving Cauchy problems by minimizing an energy-like functional. Zbl 1089.35084
Andrieux, S.; Baranger, T. N.; Ben Abda, A.
79
2006
A scaled gradient projection method for constrained image deblurring. Zbl 1155.94011
Bonettini, S.; Zanella, R.; Zanni, L.
78
2009
Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography. Zbl 1044.78513
Kaipio, Jari P.; Kolehmainen, Ville; Somersalo, Erkki; Vauhkonen, Marko
77
2000
An inverse problem in corrosion detection. Zbl 0882.35133
Inglese, Gabriele
77
1997
Nonlinear evolution equations, rescalings, model PDEs and their integrability. I. Zbl 0645.35087
Calogero, Francesco; Eckhaus, Wiktor
76
1987
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
75
1989
Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024
Colton, David; Monk, Peter; Sun, Jiguang
75
2010
MAP estimators and their consistency in Bayesian nonparametric inverse problems. Zbl 1281.62089
Dashti, M.; Law, K. J. H.; Stuart, A. M.; Voss, J.
75
2013
Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets. Zbl 0938.35190
Bouchouev, Ilia; Isakov, Victor
74
1999
Recent progress in the boundary control method. Zbl 1126.35089
Belishev, M. I.
74
2007
Inverse spectral problems for Sturm-Liouville operators on graphs. Zbl 1089.34009
Yurko, V.
73
2005
Inverse nodal problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions. Zbl 0860.34007
Browne, Patrick J.; Sleeman, B. D.
73
1996
Solving ill-posed inverse problems using iterative deep neural networks. Zbl 1394.92070
Adler, Jonas; Öktem, Ozan
73
2017
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
73
2017
A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123
Colton, David; Piana, Michele; Potthast, Roland
72
1997
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139
Kress, Rainer; Rundell, William
72
2005
Level-set function approach to an inverse interface problem. Zbl 0986.35130
Ito, Kazufumi; Kunisch, Karl; Li, Zhilin
72
2001
Nonparametric statistical inverse problems. Zbl 1137.62323
Cavalier, L.
71
2008
A direct sampling method to an inverse medium scattering problem. Zbl 1241.78025
Ito, Kazufumi; Jin, Bangti; Zou, Jun
71
2012
Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates. Zbl 1205.65194
Egger, Herbert; Engl, Heinz W.
71
2005
Logarithmic convergence rates of the iteratively regularized Gauss-Newton method for an inverse potential and an inverse scattering problem. Zbl 0895.35109
Hohage, Thorsten
71
1997
Linear spectral problems, nonlinear equations and the \({\bar \partial}\)- method. Zbl 0685.35080
Beals, Richard; Coifman, R. R.
70
1989
Explicit inversion formulae for the spherical mean Radon transform. Zbl 1127.44003
Kunyansky, Leonid A.
69
2007
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
69
1994
An inverse time-dependent source problem for a time-fractional diffusion equation. Zbl 1351.65072
Wei, T.; Li, X. L.; Li, Y. S.
68
2016
Coefficient inverse problem for a fractional diffusion equation. Zbl 1278.35268
Miller, Luc; Yamamoto, Masahiro
68
2013
Identification of planar cracks by complete overdetermined data: Inversion formulae. Zbl 0858.35131
Andrieux, Stéphane; Ben Abda, Amel
67
1996
An implementation of the reconstruction algorithm of A. Nachman for the 2D inverse conductivity problem. Zbl 0962.35193
Siltanen, Samuli; Mueller, Jennifer; Isaacson, David
66
2000
On the method of Lavrentiev regularization for nonlinear ill-posed problems. Zbl 1005.65058
Tautenhahn, U.
66
2002
Generalized KM theorems and their applications. Zbl 1117.65081
Yang, Qingzhi; Zhao, Jinling
66
2006
Prolongation algebras and Hamiltonian operators for peakon equations. Zbl 1020.35096
Hone, Andrew N. W.; Wang, Jing Ping
66
2003
Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media. Zbl 1180.35563
Hristova, Yulia; Kuchment, Peter; Nguyen, Linh
66
2008
Fréchet differentiability of boundary integral operators in inverse acoustic scattering. Zbl 0805.35157
Potthast, Roland
65
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
Localized ensemble Kalman inversion. Zbl 07682039
Tong, X. T.; Morzfeld, M.
3
2023
Inverse problems for mean field games. Zbl 1520.91050
Liu, Hongyu; Mou, Chenchen; Zhang, Shen
3
2023
Stochastic asymptotical regularization for linear inverse problems. Zbl 07632634
Zhang, Ye; Chen, Chuchu
3
2023
Uniqueness of orders and parameters in multi-term time-fractional diffusion equations by short-time behavior. Zbl 1505.35370
Liu, Yikan; Yamamoto, Masahiro
3
2023
Maximum a posteriori estimators in \(\ell^p\) are well-defined for diagonal Gaussian priors. Zbl 1517.65044
Klebanov, Ilja; Wacker, Philipp
3
2023
Stochastic mirror descent method for linear ill-posed problems in Banach spaces. Zbl 07690472
Jin, Qinian; Lu, Xiliang; Zhang, Liuying
3
2023
Co-inversion of a scattering cavity and its internal sources: uniqueness, decoupling and imaging. Zbl 1512.35684
Zhang, Deyue; Guo, Yukun; Wang, Yinglin; Chang, Yan
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
Inverse potential problem for a semilinear generalized fractional diffusion equation with spatio-temporal dependent coefficients. Zbl 1504.35652
Ma, Wenjun; Sun, Liangliang
2
2023
On the exactness of the universal backprojection formula for the spherical means Radon transform. Zbl 1515.44001
Agranovsky, M.; Kunyansky, L.
2
2023
Reconstruction of smooth shape defects in waveguides using locally resonant frequencies. Zbl 1512.35674
Niclas, Angèle; Seppecher, Laurent
1
2023
An inverse problem for semilinear equations involving the fractional Laplacian. Zbl 1525.35250
Kow, Pu-Zhao; Ma, Shiqi; Sahoo, Suman Kumar
1
2023
Phase recovery from phaseless scattering data for discrete Schrödinger operators. Zbl 07765706
Novikov, Roman; Sharma, Basant Lal
1
2023
Stability estimates for the expected utility in Bayesian optimal experimental design. Zbl 07765708
Duong, Duc-Lam; Helin, Tapio; Rojo-Garcia, Jose Rodrigo
1
2023
Strong maximum a posteriori estimation in Banach spaces with Gaussian priors. Zbl 07765710
Lambley, Hefin
1
2023
Deep learning methods for partial differential equations and related parameter identification problems. Zbl 1527.35501
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On the simultaneous reconstruction of the nonlinearity coefficient and the sound speed in the Westervelt equation. Zbl 1527.35494
Kaltenbacher, Barbara; Rundell, William
1
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Iterative inversion of the tensor momentum x-ray transform. Zbl 07770228
Denisiuk, Aleksander
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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A statistical framework for domain shape estimation in Stokes flows. Zbl 1520.65006
Borggaard, Jeff; Glatt-Holtz, Nathan E.; Krometis, Justin
1
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Inverse problems for constrained parabolic variational-hemivariational inequalities. Zbl 07726074
Migórski, Stanisław; Cai, Dong-ling; Xiao, Yi-bin
1
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Inverse problem for a nonlocal diffuse optical tomography equation. Zbl 07726075
Zimmermann, Philipp
1
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Convergence analysis of inexact Newton-Landweber iteration under Hölder stability. Zbl 1502.65031
Xia, Yuxin; Han, Bo; Fu, Zhenwu
1
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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
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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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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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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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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On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary. Zbl 1507.35337
Borges, Carlos; Rachh, Manas; Greengard, Leslie
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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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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Vertical autofocus for the phase screen in a turbulent ionosphere. Zbl 1510.94011
Gilman, Mikhail; Tsynkov, Semyon
1
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Sparse optimization problems in fractional order Sobolev spaces. Zbl 1510.35352
Antil, Harbir; Wachsmuth, Daniel
1
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Stability in inverse problem of an elastic plate with a curved middle surface. Zbl 1511.35383
Fu, Song-Ren; Yao, Peng-Fei
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
Zunino, Alessandro; Castello, Marco; Vicidomini, Giuseppe
1
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Size estimates for nanoplates. Zbl 07690467
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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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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Qualitative inverse problems: mapping data to the features of trajectories and parameter values of an ODE model. Zbl 07691091
Duan, X.; Rubin, J. E.; Swigon, D.
1
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Monotonicity-based shape reconstruction for an inverse scattering problem in a waveguide. Zbl 1517.35254
Arens, Tilo; Griesmaier, Roland; Zhang, Ruming
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
15
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Simultaneous recoveries for semilinear parabolic systems. Zbl 1498.35620
Lin, Yi-Hsuan; Liu, Hongyu; Liu, Xu; Zhang, Shen
11
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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.
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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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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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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.
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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Inversion formulae for ray transforms in vector and tensor tomography. Zbl 1518.65124
Louis, Alfred K.
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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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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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
4
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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
4
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Inverse moving point source problem for the wave equation. Zbl 1501.35452
Al Jebawy, Hanin; Elbadia, Abdellatif; Triki, Faouzi
4
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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.
4
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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.
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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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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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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Imaging conductivity from current density magnitude using neural networks. Zbl 1492.92043
Jin, Bangti; Li, Xiyao; Lu, Xiliang
3
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Un-supervised learning for blind image deconvolution via Monte-Carlo sampling. Zbl 07474168
Li, Ji; Nan, Yuesong; Ji, Hui
3
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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
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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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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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.
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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Minimizing \(L_1\) over \(L_2\) norms on the gradient. Zbl 1487.94031
Wang, Chao; Tao, Min; Chuah, Chen-Nee; Nagy, James; Lou, Yifei
2
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Nonstationary iterated Tikhonov regularization: convergence analysis via Hölder stability. Zbl 1503.35288
Mittal, Gaurav; Giri, Ankik Kumar
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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Fast inverse elastic scattering of multiple particles in three dimensions. Zbl 1498.35530
Lai, Jun; Zhang, Jinrui
2
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Unsupervised knowledge-transfer for learned image reconstruction. Zbl 1497.94006
Barbano, Riccardo; Kereta, Željko; Hauptmann, Andreas; Arridge, Simon R.; Jin, Bangti
2
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Numerical reconstruction from the Fourier transform on the ball using prolate spheroidal wave functions. Zbl 1508.65059
Isaev, Mikhail; Novikov, Roman G.; Sabinin, Grigory V.
2
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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
2
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Covariance kernels investigation from diffusive wave equations for data assimilation in hydrology. Zbl 1491.86003
Malou, T.; Monnier, J.
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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The Dantzig selector: recovery of signal via \(\ell_1-\alpha\ell_2\) minimization. Zbl 1479.94063
Ge, Huanmin; Li, Peng
1
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A variational non-linear constrained model for the inversion of FDEM data. Zbl 1510.65108
Buccini, A.; Díaz de Alba, P.
1
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An accelerated majorization-minimization algorithm with convergence guarantee for non-Lipschitz wavelet synthesis model. Zbl 1483.90125
Zhao, Yanan; Wu, Chunlin; Dong, Qiaoli; Zhao, Yufei
1
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Reduced order model approach for imaging with waves. Zbl 07455593
Borcea, Liliana; Garnier, Josselin; Mamonov, Alexander V.; Zimmerling, Jörn
1
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Target signatures for thin surfaces. Zbl 1483.35141
Cakoni, Fioralba; Monk, Peter; Zhang, Yangwen
1
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Material-separating regularizer for multi-energy x-ray tomography. Zbl 1510.65109
Gondzio, Jacek; Lassas, Matti; Latva-Äijö, Salla-Maaria; Siltanen, Samuli; Zanetti, Filippo
1
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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
1
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Regularization of ill-posed problems involving constant-coefficient pseudo-differential operators. Zbl 07510529
Karimi, Milad
1
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Multi-parameter analysis of the obstacle scattering problem. Zbl 1486.35318
Dalla Riva, Matteo; Luzzini, Paolo; Musolino, Paolo
1
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Generalized inexact Newton regularization for nonlinear ill-posed problems in Banach spaces. Zbl 1510.65110
Gu, Ruixue; Fu, Hongsun; Han, Bo
1
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Integrable nonlocal derivative nonlinear Schrödinger equations. Zbl 1490.35386
Ablowitz, Mark J.; Luo, Xu-Dan; Musslimani, Ziad H.; Zhu, Yi
1
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Adaptively sketched Bregman projection methods for linear systems. Zbl 07525936
Yuan, Zi-Yang; Zhang, Lu; Wang, Hongxia; Zhang, Hui
1
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Cited by 18,138 Authors

158 Yamamoto, Masahiro
96 Liu, Hongyu
96 Uhlmann, Gunther Alberto
95 Klibanov, Michael V.
88 Nguyen Huy Tuan
84 Lesnic, Daniel
83 Yang, Chuanfu
80 Fu, Chuli
78 Wei, Ting
77 Ammari, Habib
70 Yao, Jen-Chih
68 Scherzer, Otmar
67 Lassas, Matti J.
65 Yurko, Vjacheslav Anatoljevich
63 Hofmann, Bernd
61 Ma, Wen-Xiu
60 Dehghan Takht Fooladi, Mehdi
59 Kaltenbacher, Barbara
58 Li, Peijun
57 Geng, Xianguo
57 Hu, Guanghui
57 Kian, Yavar
57 Kumam, Poom
57 Xiong, Xiangtuan
57 Yao, Yonghong
56 Jin, Bangti
55 Liu, Jijun
55 Yin, Zhaoyang
53 de Hoop, Maarten V.
53 Han, Bo
52 Ceng, Lu-Chuan
52 Fan, Engui
52 Mewomo, Oluwatosin Temitope
52 Ramm, Alexander G.
51 Nakamura, Gen
50 Shehu, Yekini
50 Zou, Jun
49 Stuart, Andrew M.
48 Bellassoued, Mourad
48 Salo, Mikko
47 Bondarenko, Natalia P.
47 Haddar, Houssem
45 Cakoni, Fioralba
45 Hasanoǧlu, Alemdar
45 Liou, Yeongcheng
45 Ramlau, Ronny
45 Reichel, Lothar
44 Garnier, Josselin
43 Banks, Harvey Thomas
42 Lu, Shuai
42 Marin, Liviu
42 Oksanen, Lauri
42 Yang, Fan
41 Haltmeier, Markus
40 Trong, Dang Duc
39 Fokas, Athanassios S.
39 Li, Jingzhi
39 Sakhnovich, Alexander L.
39 Yan, Guozheng
39 Zeng, Shengda
38 Burger, Martin
38 Cheng, Jin
38 Pereverzev, Sergei V.
38 Vessella, Sergio
37 Bal, Guillaume
37 Bao, Gang
37 Cholamjiak, Prasit
37 Choulli, Mourad
37 Hyvönen, Nuutti
37 Kress, Rainer
37 Liu, Chein-Shan
37 Mathé, Peter
37 Nguyen, Loc Hoang
37 Park, Won-Kwang
36 George, Santhosh
36 Novikov, Roman G.
36 Sini, Mourad
36 Wang, Jenn-Nan
36 Zhang, Bo
35 Belishev, Mikhail Igorevitch
35 Chang, Shih-Sen
35 He, Jingsong
35 Khan, Akhtar Ali
35 Reich, Simeon
35 Stefanov, Plamen D.
35 Sun, Jiguang
35 Wei, Guangsheng
34 Korotyaev, Evgeny L.
34 Romanov, Vladimir Gavrilovich
34 Tian, Shoufu
34 Van der Mee, Cornelis Victor Maria
33 Aktosun, Tuncay
33 Censor, Yair
33 Hon, Yiu-Chung
33 Huang, Ting-Zhu
33 Jin, Qinian
33 Kang, Hyeonbae
33 Kunisch, Karl
33 Novotny, Antonio André
33 Rundell, William
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Cited in 871 Journals

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509 Journal of Inverse and Ill-Posed Problems
509 Inverse Problems in Science and Engineering
488 Journal of Mathematical Physics
476 Journal of Computational and Applied Mathematics
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399 Applicable Analysis
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288 SIAM Journal on Imaging Sciences
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242 Mathematical Methods in the Applied Sciences
237 Journal of Differential Equations
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206 Applied Mathematics Letters
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138 Numerical Functional Analysis and Optimization
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133 Journal of Mathematical Imaging and Vision
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113 Mathematical Problems in Engineering
105 Physica D
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100 International Journal of Computer Mathematics
96 Numerische Mathematik
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90 Communications in Partial Differential Equations
88 Communications in Nonlinear Science and Numerical Simulation
83 Advances in Computational Mathematics
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82 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
80 Studies in Applied Mathematics
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78 Journal of Mathematical Sciences (New York)
74 Chaos, Solitons and Fractals
72 Mathematics of Computation
69 SIAM Journal on Numerical Analysis
68 Mathematics and Computers in Simulation
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64 Journal of Physics A: Mathematical and Theoretical
63 Physics Letters. A
63 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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62 Results in Mathematics
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60 Comptes Rendus. Mathématique. Académie des Sciences, Paris
59 Applied Mathematics and Optimization
58 Proceedings of the American Mathematical Society
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57 SIAM Journal on Optimization
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51 BIT
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49 Acta Applicandae Mathematicae
49 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
49 Foundations of Computational Mathematics
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46 The Journal of Geometric Analysis
45 Mathematical and Computer Modelling
45 Advances in Mathematical Physics
44 Discrete and Continuous Dynamical Systems
44 Journal of Nonlinear Science and Applications
43 Advances in Mathematics
43 International Journal for Numerical Methods in Engineering
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41 Mathematical Programming. Series A. Series B
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8,524 Partial differential equations (35-XX)
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