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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: Indexed cover-to-cover
Documents Indexed: 4,518 Publications (since 1985)
References Indexed: 917 Publications with 35,522 References.
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Latest Issues

38, No. 6 (2022)
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...and 187 more Volumes
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Authors

73 Yamamoto, Masahiro
42 Klibanov, Michael V.
40 Ikehata, Masaru
36 Bertero, Mario
35 Somersalo, Erkki
33 Ramlau, Ronny
31 Borcea, Liliana
31 Burger, Martin
31 Colton, David Lem
31 Scherzer, Otmar
30 Cakoni, Fioralba
30 Kaltenbacher, Barbara
29 Cheney, Margaret
28 Bal, Guillaume
28 Hofmann, Bernd
27 Haddar, Houssem
27 Kaipio, Jari P.
27 Nakamura, Gen
27 Papanicolaou, George C.
26 Aktosun, Tuncay
26 Kirsch, Andreas
26 Kress, Rainer
26 Ramm, Alexander G.
24 Arridge, Simon R.
24 Louis, Alfred Karl
24 Monk, Peter B.
24 Siltanen, Samuli
23 Li, Peijun
23 Uhlmann, Gunther Alberto
23 Zou, Jun
22 Jin, Bangti
22 Piana, Michele
21 Hu, Guanghui
21 Rundell, William
20 Calvetti, Daniela
20 Hohage, Thorsten
20 Isakov, Victor M.
20 Lesselier, Dominique
20 Seo, Jin Keun
19 Fokas, Athanassios S.
19 Jin, Qinian
19 Lassas, Matti J.
19 Liu, Hongyu
19 Novikov, Roman G.
19 Schuster, Thomas
18 Boccacci, Patrizia
18 de Hoop, Maarten V.
18 Garnier, Josselin
18 Haltmeier, Markus
18 Liu, Xiaodong
18 Zhang, Bo
17 Bao, Gang
17 Boiti, Marco
17 Cheng, Jin
17 Haber, Eldad
17 Hyvönen, Nuutti
17 Kunyansky, Leonid A.
17 Pempinelli, Flora
17 Pike, E. R.
17 Potthast, Roland W. E.
16 El Badia, Abdellatif
16 Lionheart, William Robert Breckon
15 Defrise, Michel
15 McLaughlin, Joyce Rogers
15 Sabatier, Pierre C.
15 Tsogka, Chrysoula
14 Đinh Nho Hào
14 Dorn, Oliver
14 Grünbaum, Francisco Alberto
14 Han, Bo
14 Kang, Hyeonbae
14 Leitão, Antonio
14 Maass, Peter
14 Schönlieb, Carola-Bibiane
14 Shen, Chao-Liang
14 Sun, Jiguang
14 Symes, William W.
14 Yagle, Andrew E.
13 Akduman, Ibrahim
13 Engl, Heinz W.
13 Harrach, Bastian
13 Imanuvilov, Oleg Yu.
13 Kolehmainen, Ville
13 Lechleiter, Armin
13 Pereverzev, Sergei V.
13 Schotland, John C.
13 Stefanov, Plamen D.
13 Stuart, Andrew M.
13 van den Berg, Peter M.
12 Abubakar, Aria
12 Bellassoued, Mourad
12 Borden, Brett
12 Hasanoǧlu, Alemdar
12 Herman, Gabor T.
12 Hettlich, Frank
12 Mathé, Peter
12 Palamodov, Victor Pavlovitch
12 Rieder, Andreas
12 Sini, Mourad
12 Tautenhahn, Ulrich
...and 4,625 more Authors
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Fields

2,435 Partial differential equations (35-XX)
1,808 Numerical analysis (65-XX)
846 Optics, electromagnetic theory (78-XX)
577 Biology and other natural sciences (92-XX)
364 Information and communication theory, circuits (94-XX)
354 Operator theory (47-XX)
327 Integral transforms, operational calculus (44-XX)
295 Statistics (62-XX)
266 Geophysics (86-XX)
265 Fluid mechanics (76-XX)
264 Ordinary differential equations (34-XX)
260 Mechanics of deformable solids (74-XX)
231 Integral equations (45-XX)
199 Dynamical systems and ergodic theory (37-XX)
186 Calculus of variations and optimal control; optimization (49-XX)
157 Operations research, mathematical programming (90-XX)
145 Computer science (68-XX)
138 Quantum theory (81-XX)
91 Probability theory and stochastic processes (60-XX)
82 Harmonic analysis on Euclidean spaces (42-XX)
80 Systems theory; control (93-XX)
69 Global analysis, analysis on manifolds (58-XX)
54 Linear and multilinear algebra; matrix theory (15-XX)
48 Differential geometry (53-XX)
48 Statistical mechanics, structure of matter (82-XX)
43 Classical thermodynamics, heat transfer (80-XX)
40 Astronomy and astrophysics (85-XX)
37 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)
24 Difference and functional equations (39-XX)
22 Special functions (33-XX)
21 General and overarching topics; collections (00-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Approximations and expansions (41-XX)
12 Real functions (26-XX)
11 Relativity and gravitational theory (83-XX)
10 Abstract harmonic analysis (43-XX)
8 Combinatorics (05-XX)
6 Algebraic topology (55-XX)
4 History and biography (01-XX)
4 Topological groups, Lie groups (22-XX)
4 Sequences, series, summability (40-XX)
4 Convex and discrete geometry (52-XX)
3 Measure and integration (28-XX)
3 General topology (54-XX)
2 Nonassociative rings and algebras (17-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

3,644 Publications have been cited 41,729 times in 15,905 Documents Cited by Year
A unified treatment of some iterative algorithms in signal processing and image reconstruction. Zbl 1051.65067
Byrne, Charles
602
2004
Iterative oblique projection onto convex sets and the split feasibility problem. Zbl 0996.65048
Byrne, Charles
490
2002
The multiple-sets split feasibility problem and its applications for inverse problems. Zbl 1089.65046
Censor, Yair; Elfving, Tommy; Kopf, Nirit; Bortfeld, Thomas
344
2005
A variable Krasnosel’skiĭ–Mann algorithm and the multiple-set split feasibility problem. Zbl 1126.47057
Xu, Hong-Kun
278
2006
Optical tomography in medical imaging. Zbl 0926.35155
Arridge, S. R.
250
1999
The relaxed CQ algorithm solving the split feasibility problem. Zbl 1066.65047
Yang, Qingzhi
239
2004
Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces. Zbl 1213.65085
Xu, Hong-Kun
225
2010
Inverse scattering transform for the Camassa–Holm equation. Zbl 1105.37044
Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I.
209
2006
Analysis of bounded variation penalty methods for ill-posed problems. Zbl 0809.35151
Acar, R.; Vogel, C. R.
186
1994
Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems. Zbl 0695.65037
Engl, Heinz W.; Kunisch, Karl; Neubauer, Andreas
181
1989
A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133
Colton, David; Kirsch, Andreas
175
1996
A note on the \(CQ\) algorithm for the split feasibility problem. Zbl 1080.65033
Qu, Biao; Xiu, Naihua
172
2005
The split common fixed-point problem for demicontractive mappings. Zbl 1219.90185
Moudafi, A.
160
2010
Solving the split feasibility problem without prior knowledge of matrix norms. Zbl 1262.90193
López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun
146
2012
Inverse problems and Carleman estimates. Zbl 0755.35151
Klibanov, Michael V.
141
1992
Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation. Zbl 1181.35322
Cheng, Jin; Nakagawa, Junichi; Yamamoto, Masahiro; Yamazaki, Tomohiro
135
2009
Multi-peakon solutions of the Degasperis-Procesi equation. Zbl 1041.35090
Lundmark, Hans; Szmigielski, Jacek
133
2003
Electrical impedance tomography and Calderón’s problem. Zbl 1181.35339
Uhlmann, G.
130
2009
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.
127
2007
A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems. Zbl 0873.65057
Hanke, Martin
127
1997
The stability for the Cauchy problem for elliptic equations. Zbl 1190.35228
Alessandrini, Giovanni; Rondi, Luca; Rosset, Edi; Vessella, Sergio
123
2009
Multi-peakons and a theorem of Stieltjes. Zbl 0923.35154
Beals, R.; Sattinger, D. H.; Szmigielski, J.
122
1999
Electrical impedance tomography. Zbl 1031.35147
Borcea, Liliana
121
2002
Geometry of linear ill-posed problems in variable Hilbert spaces. Zbl 1026.65040
Mathé, Peter; Pereverzev, Sergei V.
121
2003
Characterization of the shape of a scattering obstacle using the spectral data of the far field operator. Zbl 0919.35147
Kirsch, Andreas
120
1998
Carleman estimates for parabolic equations and applications. Zbl 1194.35512
Yamamoto, Masahiro
110
2009
A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027
Jin, Bangti; Rundell, William
106
2015
Several solution methods for the split feasibility problem. Zbl 1080.65035
Zhao, Jinling; Yang, Qingzhi
101
2005
Lipschitz stability in inverse parabolic problems by the Carleman estimate. Zbl 0992.35110
Imanuvilov, Oleg Yu; Yamamoto, Masahiro
100
1998
Inverse problems in elasticity. Zbl 1070.35118
Bonnet, Marc; Constantinescu, Andrei
99
2005
A survey of matrix inverse eigenvalue problems. Zbl 0633.65036
Boley, Daniel; Golub, Gene H.
97
1987
Convergence rates of convex variational regularization. Zbl 1068.65085
Burger, Martin; Osher, Stanley
97
2004
Sparsity and incoherence in compressive sampling. Zbl 1120.94005
Candès, Emmanuel; Romberg, Justin
96
2007
Structural identification of an unknown source term in a heat equation. Zbl 0917.35156
Cannon, J. R.; DuChateau, Paul
89
1998
Exponential instability in an inverse problem for the Schrödinger equation. Zbl 0985.35110
Mandache, Niculae
89
2001
Tensor completion and low-\(n\)-rank tensor recovery via convex optimization. Zbl 1211.15036
Gandy, Silvia; Recht, Benjamin; Yamada, Isao
88
2011
Restricted isometry properties and nonconvex compressive sensing. Zbl 1143.94004
Chartrand, Rick; Staneva, Valentina
88
2008
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.
83
1998
Inverse source problem for a fractional diffusion equation. Zbl 1211.35280
Zhang, Ying; Xu, Xiang
83
2011
Global Lipschitz stability in an inverse hyperbolic problem by interior observations. Zbl 0983.35151
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro
82
2001
The strong convergence of a KM-CQ-like algorithm for a split feasibility problem. Zbl 1211.65065
Dang, Yazheng; Gao, Yan
81
2011
Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014
Golub, Gene; Pereyra, Victor
81
2003
Prolate spheroidal wavefunctions, quadrature and interpolation. Zbl 0991.65024
Xiao, H.; Rokhlin, V.; Yarvin, N.
80
2001
Thermoacoustic tomography with variable sound speed. Zbl 1177.35256
Stefanov, Plamen; Uhlmann, Gunther
80
2009
Analysis versus synthesis in signal priors. Zbl 1138.93055
Elad, Michael; Milanfar, Peyman; Rubinstein, Ron
79
2007
The domain derivative and two applications in inverse scattering theory. Zbl 0773.35085
Kirsch, A.
79
1993
Krasnoselski–Mann iteration for hierarchical fixed-point problems. Zbl 1128.47060
Moudafi, Abdellatif
78
2007
Proximity algorithms for image models: denoising. Zbl 1216.94015
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng
75
2011
Boundary control in reconstruction of manifolds and metrics (the BC method). Zbl 0990.35135
Belishev, M. I.
74
1997
A survey on sampling and probe methods for inverse problems. Zbl 1094.35144
Potthast, Roland
74
2006
An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203
Jin, Bangti; Rundell, William
73
2012
Solutions of inverse nodal problems. Zbl 0667.34020
Hald, Ole H.; McLaughlin, Joyce R.
72
1989
Uniqueness and stability in an inverse problem for the Schrödinger equation. Zbl 1023.35091
Baudouin, Lucie; Puel, Jean-Pierre
72
2002
Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512
Strong, David; Chan, Tony
72
2003
Level set methods for inverse scattering. Zbl 1191.35272
Dorn, Oliver; Lesselier, Dominique
72
2006
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
69
1989
Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method. Zbl 0822.35154
Yamamoto, Masahiro
69
1995
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.
68
1986
An inverse problem in corrosion detection. Zbl 0882.35133
Inglese, Gabriele
68
1997
Simultaneous reconstruction of the initial temperature and heat radiative coefficient. Zbl 0987.35166
Yamamoto, Masahiro; Zou, Jun
66
2001
One new strategy for a priori choice of regularizing parameters in Tikhonov’s regularization. Zbl 0957.65052
Cheng, J.; Yamamoto, M.
65
2000
Level-set function approach to an inverse interface problem. Zbl 0986.35130
Ito, Kazufumi; Kunisch, Karl; Li, Zhilin
65
2001
Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography. Zbl 1044.78513
Kaipio, Jari P.; Kolehmainen, Ville; Somersalo, Erkki; Vauhkonen, Marko
65
2000
Logarithmic convergence rates of the iteratively regularized Gauss-Newton method for an inverse potential and an inverse scattering problem. Zbl 0895.35109
Hohage, Thorsten
65
1997
A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123
Colton, David; Piana, Michele; Potthast, Roland
65
1997
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139
Kress, Rainer; Rundell, William
65
2005
Solving Cauchy problems by minimizing an energy-like functional. Zbl 1089.35084
Andrieux, S.; Baranger, T. N.; Ben Abda, A.
65
2006
Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets. Zbl 0938.35190
Bouchouev, Ilia; Isakov, Victor
64
1999
Ensemble Kalman methods for inverse problems. Zbl 1311.65064
Iglesias, Marco A.; Law, Kody J. H.; Stuart, Andrew M.
64
2013
Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates. Zbl 1205.65194
Egger, Herbert; Engl, Heinz W.
64
2005
Recent progress in the boundary control method. Zbl 1126.35089
Belishev, M. I.
63
2007
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
63
2013
Optical tomography: forward and inverse problems. Zbl 1188.35197
Arridge, Simon R.; Schotland, John C.
63
2009
Linear spectral problems, nonlinear equations and the \({\bar \partial}\)- method. Zbl 0685.35080
Beals, Richard; Coifman, R. R.
62
1989
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
62
1994
Nonparametric statistical inverse problems. Zbl 1137.62323
Cavalier, L.
62
2008
Generalized KM theorems and their applications. Zbl 1117.65081
Yang, Qingzhi; Zhao, Jinling
62
2006
A scaled gradient projection method for constrained image deblurring. Zbl 1155.94011
Bonettini, S.; Zanella, R.; Zanni, L.
62
2009
Inverse spectral problems for Sturm-Liouville operators on graphs. Zbl 1089.34009
Yurko, V.
62
2005
Explicit inversion formulae for the spherical mean Radon transform. Zbl 1127.44003
Kunyansky, Leonid A.
62
2007
Inverse nodal problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions. Zbl 0860.34007
Browne, Patrick J.; Sleeman, B. D.
61
1996
Nonlinear evolution equations, rescalings, model PDEs and their integrability. I. Zbl 0645.35087
Calogero, Francesco; Eckhaus, Wiktor
60
1987
An inverse source problem in potential analysis. Zbl 0963.35194
El Badia, A.; Ha-Duong, T.
60
2000
Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media. Zbl 1180.35563
Hristova, Yulia; Kuchment, Peter; Nguyen, Linh
58
2008
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.
58
2008
Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406
Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I.
58
2008
Inverse scattering problems with multi-frequencies. Zbl 1332.78019
Bao, Gang; Li, Peijun; Lin, Junshan; Triki, Faouzi
58
2015
An implementation of the reconstruction algorithm of A. Nachman for the 2D inverse conductivity problem. Zbl 0962.35193
Siltanen, Samuli; Mueller, Jennifer; Isaacson, David
57
2000
Fréchet differentiability of boundary integral operators in inverse acoustic scattering. Zbl 0805.35157
Potthast, Roland
57
1994
Multisoliton solutions of the Degasperis-Procesi equation and their peakon limit. Zbl 1086.35095
Matsuno, Yoshimasa
57
2005
Numerical identification of parameters in parabolic systems. Zbl 0894.35127
Keung, Yee Lo; Zou, Jun
56
1998
Identification of Robin coefficients by the means of boundary measurements. Zbl 0943.35100
Chaabane, Slim; Jaoua, Mohamed
56
1999
MAP estimators and their consistency in Bayesian nonparametric inverse problems. Zbl 1281.62089
Dashti, M.; Law, K. J. H.; Stuart, A. M.; Voss, J.
56
2013
On the method of Lavrentiev regularization for nonlinear ill-posed problems. Zbl 1005.65058
Tautenhahn, U.
56
2002
Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024
Colton, David; Monk, Peter; Sun, Jiguang
55
2010
On a global estimate in a linear inverse hyperbolic problem. Zbl 0862.35141
Puel, Jean-Pierre; Yamamoto, Masahiro
55
1996
Fréchet derivatives in inverse obstacle scattering. Zbl 0821.35147
Hettlich, Frank
54
1995
Uniqueness in inverse obstacle scattering. Zbl 0787.35119
Kirsch, Andreas; Kress, Rainer
54
1993
The MUSIC algorithm and the factorization method in inverse scattering theory for inhomogeneous media. Zbl 1027.35158
Kirsch, Andreas
54
2002
Prolongation algebras and Hamiltonian operators for peakon equations. Zbl 1020.35096
Hone, Andrew N. W.; Wang, Jing Ping
54
2003
Recovery of coefficients for a weighted \(p\)-Laplacian perturbed by a linear second order term. Zbl 1460.35386
Cârstea, Cătălin I.; Kar, Manas
4
2021
On Calderón’s inverse inclusion problem with smooth shapes by a single partial boundary measurement. Zbl 1467.35355
Liu, Hongyu; Tsou, Chun-Hsiang; Yang, Wei
4
2021
Recovering a quasilinear conductivity from boundary measurements. Zbl 1457.65172
Shankar, Ravi
3
2021
A projected Bouligand-Landweber iteration for non-smooth ill-posed problems. Zbl 07323231
Fu, Zhenwu; Chen, Yong; Han, Bo
3
2021
Unique continuation from a generalized impedance edge-corner for Maxwell’s system and applications to inverse problems. Zbl 1456.35192
Diao, Huaian; Liu, Hongyu; Zhang, Long; Zou, Jun
3
2021
Some inverse problems for wave equations with fractional derivative attenuation. Zbl 1459.35396
Kaltenbacher, Barbara; Rundell, William
3
2021
Monotonicity principle in tomography of nonlinear conducting materials. Zbl 1462.78012
Corbo Esposito, Antonio; Faella, Luisa; Piscitelli, Gianpaolo; Prakash, Ravi; Tamburrino, Antonello
3
2021
On a local geometric property of the generalized elastic transmission eigenfunctions and application. Zbl 1479.35286
Diao, Huaian; Liu, Hongyu; Sun, Baiyi
3
2021
Laboratory application of sampling approaches to inverse scattering. Zbl 1466.62451
Pourahmadian, Fatemeh; Yue, Hao
2
2021
Adaptive regularisation for ensemble Kalman inversion. Zbl 1456.65095
Iglesias, Marco; Yang, Yuchen
2
2021
Shape reconstruction in linear elasticity: standard and linearized monotonicity method. Zbl 1461.74022
Eberle, Sarah; Harrach, Bastian
2
2021
Reconstruction of multipolar point sources with multi-frequency sparse far field data. Zbl 1466.35367
Ji, Xia
2
2021
A deterministic-statistical approach to reconstruct moving sources using sparse partial data. Zbl 1466.35369
Liu, Yanfang; Guo, Yukun; Sun, Jiguang
2
2021
Stabilizing invertible neural networks using mixture models. Zbl 07375643
Hagemann, Paul; Neumayer, Sebastian
2
2021
Oversmoothing Tikhonov regularization in Banach spaces. Zbl 1483.65086
Chen, De-Han; Hofmann, Bernd; Yousept, Irwin
2
2021
Projection methods for high numerical aperture phase retrieval. Zbl 1480.65142
Hieu Thao, Nguyen; Soloviev, Oleg; Luke, Russell; Verhaegen, Michel
1
2021
Phaseless inverse scattering with background information. Zbl 1473.35140
Novikov, R. G.; Sivkin, V. N.
1
2021
Stability estimates for the relativistic Schrödinger equation from partial boundary data. Zbl 1483.35344
Senapati, Soumen
1
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A direct method for solving inverse Sturm-Liouville problems. Zbl 07305940
Kravchenko, Vladislav V.; Torba, Sergii M.
1
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Unique determination for an inverse problem from the vortex dynamics. Zbl 1462.34041
Lai, Ru-Yu; Zhou, Hanming
1
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The interior inverse electromagnetic scattering for an inhomogeneous cavity. Zbl 1457.78012
Zeng, Fang; Meng, Shixu
1
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Non-stationary multi-layered Gaussian priors for Bayesian inversion. Zbl 1457.60097
Emzir, Muhammad; Lasanen, Sari; Purisha, Zenith; Roininen, Lassi; Särkkä, Simo
1
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Ultrasound modulated bioluminescence tomography with a single optical measurement. Zbl 1458.35420
Chung, Francis; Yang, Tianyu; Yang, Yang
1
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Deep synthesis network for regularizing inverse problems. Zbl 07310609
Obmann, Daniel; Schwab, Johannes; Haltmeier, Markus
1
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An inverse potential problem for subdiffusion: stability and reconstruction. Zbl 1458.35477
Jin, Bangti; Zhou, Zhi
1
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Tikhonov regularization for polynomial approximation problems in Gauss quadrature points. Zbl 1461.65010
An, Congpei; Wu, Hao-Ning
1
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The maximum entropy on the mean method for image deblurring. Zbl 07310613
Rioux, Gabriel; Choksi, Rustum; Hoheisel, Tim; Maréchal, Pierre; Scarvelis, Christopher
1
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Inverse initial boundary value problem for a non-linear hyperbolic partial differential equation. Zbl 1457.58016
Nakamura, Gen; Vashisth, Manmohan; Watanabe, Michiyuki
1
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Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: a review. Zbl 1461.62129
Alexanderian, Alen
1
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Sparsity-based nonlinear reconstruction of optical parameters in two-photon photoacoustic computed tomography. Zbl 1460.78011
Gupta, Madhu; Kumar Mishra, Rohit; Roy, Souvik
1
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Numerical solution of an inverse random source problem for the time fractional diffusion equation via PhaseLift. Zbl 1475.35432
Gong, Yuxuan; Li, Peijun; Wang, Xu; Xu, Xiang
1
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A range-relaxed criteria for choosing the Lagrange multipliers in the iterated Tikhonov Kaczmarz method for solving systems of linear ill-posed equations. Zbl 07323241
Filippozzi, R.; Rabelo, J. C.; Boiger, R.; Leitão, A.
1
2021
Regularisation, optimisation, subregularity. Zbl 07335387
Valkonen, T.
1
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Simultaneous inversion of the potential term and the fractional orders in a multi-term time-fractional diffusion equation. Zbl 1462.35469
Sun, L. L.; Li, Y. S.; Zhang, Y.
1
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Reconstruction of sources from time domain scattered waves at sparse sensors. Zbl 1467.35351
Ji, Xia
1
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Optimal-order convergence of Nesterov acceleration for linear ill-posed problems. Zbl 07357681
Kindermann, Stefan
1
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A new interpretation of (Tikhonov) regularization. Zbl 07357684
Gerth, Daniel
1
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3D Compton scattering imaging with multiple scattering: analysis by FIO and contour reconstruction. Zbl 1466.35372
Rigaud, Gaël
1
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Lippmann-Schwinger-Lanczos algorithm for inverse scattering problems. Zbl 07362502
Druskin, V.; Moskow, S.; Zaslavsky, M.
1
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Structure analysis of direct sampling method in 3D electromagnetic inverse problem: near- and far-field configuration. Zbl 07362505
Kang, Sangwoo; Lambert, Marc
1
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Unique recovery of unknown spatial load in damped Euler-Bernoulli beam equation from final time measured output. Zbl 1467.74036
Hasanov, Alemdar; Romanov, Vladimir; Baysal, Onur
1
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A projective two-point gradient Kaczmarz iteration for nonlinear ill-posed problems. Zbl 07362507
Gao, Guangyu; Han, Bo; Tong, Shanshan
1
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Inverse problems for nonlinear quasi-hemivariational inequalities with application to mixed boundary value problems. Zbl 1433.35462
Migórski, Stanisław; Khan, Akhtar A.; Zeng, Shengda
17
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NETT: solving inverse problems with deep neural networks. Zbl 1456.65038
Li, Housen; Schwab, Johannes; Antholzer, Stephan; Haltmeier, Markus
16
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Recovering piecewise constant refractive indices by a single far-field pattern. Zbl 1446.35262
Blåsten, Emilia; Liu, Hongyu
13
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The sliding Frank-Wolfe algorithm and its application to super-resolution microscopy. Zbl 1434.65082
Denoyelle, Quentin; Duval, Vincent; Peyré, Gabriel; Soubies, Emmanuel
11
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Convexification and experimental data for a 3D inverse scattering problem with the moving point source. Zbl 1446.35265
Khoa, Vo Anh; Bidney, Grant W.; Klibanov, Michael V.; Nguyen, Loc H.; Nguyen, Lam H.; Sullivan, Anders J.; Astratov, Vasily N.
9
2020
Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement. Zbl 1445.35334
Liu, Hongyu; Tsou, Chun-Hsiang
8
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Convergence analysis of (statistical) inverse problems under conditional stability estimates. Zbl 07153871
Werner, Frank; Hofmann, Bernd
7
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Uniqueness in inverse cavity scattering problems with phaseless near-field data. Zbl 1460.35246
Zhang, Deyue; Wang, Yinglin; Guo, Yukun; Li, Jingzhi
7
2020
The inverse problem of reconstructing reaction-diffusion systems. Zbl 1444.65055
Kaltenbacher, Barbara; Rundell, William
7
2020
Fast acoustic source imaging using multi-frequency sparse data. Zbl 1448.35566
Alzaalig, Ala; Hu, Guanghui; Liu, Xiaodong; Sun, Jiguang
6
2020
Half-inverse Sturm-Liouville problem on a time scale. Zbl 1433.93084
Ozkan, A. Sinan; Adalar, İbrahim
6
2020
An inverse acoustic-elastic interaction problem with phased or phaseless far-field data. Zbl 1437.35702
Dong, Heping; Lai, Jun; Li, Peijun
6
2020
Convergence rates of Tikhonov regularizations for elliptic and parabolic inverse radiativity problems. Zbl 07220290
Chen, De-Han; Jiang, Daijun; Zou, Jun
6
2020
Stability for inverse source problems by Carleman estimates. Zbl 1459.35393
Huang, X.; Yu Imanuvilov, Oleg; Yamamoto, M.
6
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Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors. Zbl 1464.62365
Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki; Strang, Alexander
5
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Unique reconstruction of the potential for the interior transmission eigenvalue problem for spherically stratified media. Zbl 1436.35328
Wei, Zhaoying; Wei, Guangsheng
5
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The Calderón problem for the fractional magnetic operator. Zbl 1443.35194
Li, Li
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Optimal experimental design under irreducible uncertainty for linear inverse problems governed by PDEs. Zbl 1443.62213
Koval, Karina; Alexanderian, Alen; Stadler, Georg
5
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Numerical schemes to reconstruct three-dimensional time-dependent point sources of acoustic waves. Zbl 1471.65122
Chen, Bo; Guo, Yukun; Ma, Fuming; Sun, Yao
5
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Consistency of Bayesian inference with Gaussian process priors in an elliptic inverse problem. Zbl 1445.35330
Giordano, Matteo; Nickl, Richard
5
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On a regularization approach to the inverse transmission eigenvalue problem. Zbl 1454.34036
Buterin, S. A.; Choque-Rivero, A. E.; Kuznetsova, M. A.
5
2020
\(\ell_1-\alpha\ell_2\) minimization methods for signal and image reconstruction with impulsive noise removal. Zbl 1468.94021
Li, Peng; Chen, Wengu; Ge, Huanmin; Ng, Michael K.
5
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Preconditioning inverse problems for hyperbolic equations with applications to photoacoustic tomography. Zbl 07153865
Beigl, Alexander; Scherzer, Otmar; Sogn, Jarle; Zulehner, Walter
4
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A new temporal control approach for SCAO systems. Zbl 1440.93131
Pöttinger, Markus; Ramlau, Ronny; Auzinger, Günter
4
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Compton scattering tomography in translational geometries. Zbl 1466.44002
Webber, James; Miller, Eric L.
4
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Persistent homology detects curvature. Zbl 07161824
Bubenik, Peter; Hull, Michael; Patel, Dhruv; Whittle, Benjamin
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Inverse transport problem in fluorescence ultrasound modulated optical tomography with angularly averaged measurements. Zbl 1466.35370
Li, Wei; Yang, Yang; Zhong, Yimin
4
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Recovery of singularities for the weighted cone transform appearing in Compton camera imaging. Zbl 1442.44003
Zhang, Yang
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Analysis of shape optimization problems for unsteady fluid-structure interaction. Zbl 1440.49044
Haubner, Johannes; Ulbrich, Michael; Ulbrich, Stefan
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Deep unfolding of a proximal interior point method for image restoration. Zbl 1452.94003
Bertocchi, Carla; Chouzenoux, Emilie; Corbineau, Marie-Caroline; Pesquet, Jean-Christophe; Prato, Marco
4
2020
Modulus-based iterative methods for constrained \(\ell_p\)-\(\ell_q\) minimization. Zbl 1451.65072
Buccini, A.; Pasha, M.; Reichel, L.
4
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On the inverse spectral stability for the transmission eigenvalue problem with finite data. Zbl 1470.34054
Xu, Xiao-Chuan; Yang, Chuan-Fu
4
2020
Monotonicity in inverse obstacle scattering on unbounded domains. Zbl 1458.35469
Albicker, Annalena; Griesmaier, Roland
4
2020
Geometry of the phase retrieval problem. Zbl 1451.49037
Barnett, Alexander H.; Epstein, Charles L.; Greengard, Leslie F.; Magland, Jeremy F.
4
2020
An inverse problem for the fractional Schrödinger equation in a magnetic field. Zbl 1473.35500
Covi, Giovanni
4
2020
The quadratic Wasserstein metric for inverse data matching. Zbl 1465.49029
Engquist, Björn; Ren, Kui; Yang, Yunan
4
2020
A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium. Zbl 1433.78016
Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru
3
2020
Image reconstruction through metamorphosis. Zbl 1447.94005
Gris, Barbara; Chen, Chong; Öktem, Ozan
3
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Determining both the source of a wave and its speed in a medium from boundary measurements. Zbl 1458.35480
Knox, Christina; Moradifam, Amir
3
2020
A Nash game based variational model for joint image intensity correction and registration to deal with varying illumination. Zbl 1452.94009
Theljani, Anis; Chen, Ke
3
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The fixed angle scattering problem and wave equation inverse problems with two measurements. Zbl 1439.35569
Rakesh; Salo, Mikko
3
2020
Applications of kinetic tools to inverse transport problems. Zbl 1452.65211
Li, Qin; Sun, Weiran
3
2020
The bound-state soliton solutions of the complex modified KdV equation. Zbl 1447.35290
Zhang, Yongshuai; Tao, Xiangxing; Xu, Shuwei
3
2020
Bayesian approach to inverse time-harmonic acoustic scattering with phaseless far-field data. Zbl 1443.76205
Yang, Zhipeng; Gui, Xinping; Ming, Ju; Hu, Guanghui
3
2020
Mathematical modeling for 2D light-sheet fluorescence microscopy image reconstruction. Zbl 1444.65062
Cueva, Evelyn; Courdurier, Matias; Osses, Axel; Castañeda, Victor; Palacios, Benjamin; Härtel, Steffen
3
2020
Semiclassical inverse spectral problem for seismic surface waves in isotropic media. I: Love waves. Zbl 1442.86003
de Hoop, Maarten V.; Iantchenko, Alexei; van der Hilst, Robert D.; Zhai, Jian
3
2020
Analysis of a heuristic rule for the IRGNM in Banach spaces with convex regularization terms. Zbl 1445.49018
Fu, Zhenwu; Jin, Qinian; Zhang, Zhengqiang; Han, Bo; Chen, Yong
3
2020
Convexification for an inverse parabolic problem. Zbl 1445.35333
Klibanov, Michael V.; Li, Jingzhi; Zhang, Wenlong
3
2020
Numerical solution of inverse problems by weak adversarial networks. Zbl 1452.65308
Bao, Gang; Ye, Xiaojing; Zang, Yaohua; Zhou, Haomin
3
2020
Hölder-logarithmic stability in Fourier synthesis. Zbl 1453.42008
Isaev, Mikhail; Novikov, Roman G.
3
2020
Deep neural network expression of posterior expectations in Bayesian PDE inversion. Zbl 1453.35191
Herrmann, Lukas; Schwab, Christoph; Zech, Jakob
3
2020
Geometric numerical integration of the assignment flow. Zbl 07371339
Zeilmann, Alexander; Savarino, Fabrizio; Petra, Stefania; Schnörr, Christoph
3
2020
An inverse random source problem in a stochastic fractional diffusion equation. Zbl 1469.35259
Niu, Pingping; Helin, Tapio; Zhang, Zhidong
3
2020
An inverse random source problem for the time fractional diffusion equation driven by a fractional Brownian motion. Zbl 1469.35251
Feng, Xiaoli; Li, Peijun; Wang, Xu
3
2020
An image sharpening operator combined with framelet for image deblurring. Zbl 1468.94022
Liu, Jingjing; Lou, Yifei; Ni, Guoxi; Zeng, Tieyong
3
2020
Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography. Zbl 07371382
Antil, Harbir; Di, Zichao Wendy; Khatri, Ratna
3
2020
Quasi-best approximation in optimization with PDE constraints. Zbl 1457.49022
Gaspoz, Fernando; Kreuzer, Christian; Veeser, Andreas; Wollner, Winnifried
2
2020
Reconstruction of the principal coefficient in the damped wave equation from Dirichlet-to-Neumann operator. Zbl 1457.35094
Romanov, Vladimir; Hasanov, Alemdar
2
2020
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135 Yamamoto, Masahiro
81 Uhlmann, Gunther Alberto
78 Fu, Chuli
77 Klibanov, Michael V.
76 Nguyen Huy Tuan
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74 Lesnic, Daniel
71 Yang, Chuanfu
62 Yurko, Vjacheslav Anatoljevich
60 Scherzer, Otmar
59 Liu, Hongyu
58 Dehghan Takht Fooladi, Mehdi
58 Hofmann, Bernd
58 Ma, Wen-Xiu
56 Lassas, Matti J.
55 Yao, Jen-Chih
55 Yao, Yonghong
53 Liu, Jijun
52 Ramm, Alexander G.
52 Xiong, Xiangtuan
52 Yin, Zhaoyang
51 Wei, Ting
50 Kaltenbacher, Barbara
49 Ceng, Lu-Chuan
47 Hu, Guanghui
46 Li, Peijun
46 Zou, Jun
45 Liou, Yeongcheng
45 Shehu, Yekini
44 Nakamura, Gen
43 Banks, Harvey Thomas
43 de Hoop, Maarten V.
43 Han, Bo
43 Jin, Bangti
42 Fan, Engui
41 Bellassoued, Mourad
41 Geng, Xianguo
40 Cakoni, Fioralba
38 Garnier, Josselin
38 Haddar, Houssem
38 Hasanoǧlu, Alemdar
37 Bao, Gang
37 Bondarenko, Natalia P.
37 Fokas, Athanassios S.
37 Kian, Yavar
37 Kress, Rainer
37 Salo, Mikko
37 Stuart, Andrew M.
36 Bal, Guillaume
36 Marin, Liviu
36 Pereverzev, Sergei V.
36 Reichel, Lothar
36 Sakhnovich, Alexander L.
35 Lu, Shuai
35 Yang, Fan
34 Chang, Shih-Sen
34 Kumam, Poom
34 Liu, Chein-Shan
34 Oksanen, Lauri
34 Ramlau, Ronny
33 Burger, Martin
33 Kang, Hyeonbae
33 Mathé, Peter
33 Vessella, Sergio
32 Cheng, Jin
32 George, Santhosh
32 Haltmeier, Markus
32 Hon, Yiu-Chung
32 Van der Mee, Cornelis Victor Maria
32 Wen, Chingfeng
32 Yan, Guozheng
31 Choulli, Mourad
31 Huang, Ting-Zhu
31 Kunisch, Karl
31 Wei, Guangsheng
30 Hyvönen, Nuutti
30 Li, Jingzhi
30 Ma, Fuming
30 Novikov, Roman G.
30 Novotny, Antonio André
30 Park, Won-Kwang
30 Sini, Mourad
30 Stefanov, Plamen D.
29 Censor, Yair
29 Cholamjiak, Prasit
29 Korotyaev, Evgeny L.
29 Mewomo, Oluwatosin Temitope
29 Xu, Hong-Kun
28 Belishev, Mikhail Igorevitch
28 Harrach, Bastian
28 Jin, Qinian
28 Trong, Dang Duc
28 Wang, Jenn-Nan
27 Aktosun, Tuncay
27 Borcea, Liliana
27 Buterin, Sergey Alexandrovich
27 Cheng, Xiaoliang
27 Cho, Yeol Je
27 Colton, David Lem
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732 Inverse Problems
483 Inverse Problems in Science and Engineering
467 Journal of Mathematical Physics
413 Journal of Inverse and Ill-Posed Problems
410 Journal of Computational and Applied Mathematics
402 Applied Mathematics and Computation
356 Journal of Mathematical Analysis and Applications
351 Applicable Analysis
324 Inverse Problems and Imaging
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232 Computers & Mathematics with Applications
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199 Journal of Differential Equations
178 Numerical Algorithms
168 Applied Mathematics Letters
158 SIAM Journal on Scientific Computing
157 Mathematical Methods in the Applied Sciences
146 Computer Methods in Applied Mechanics and Engineering
144 Applied and Computational Harmonic Analysis
138 Journal of Nonlinear Mathematical Physics
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97 Communications in Mathematical Physics
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85 International Journal of Computer Mathematics
80 Computational Optimization and Applications
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71 Physica D
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67 Boundary Value Problems
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62 Chaos, Solitons and Fractals
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62 Computational Geosciences
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60 Mathematics and Computers in Simulation
58 SIAM Journal on Numerical Analysis
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56 Journal de Mathématiques Pures et Appliquées. Neuvième Série
56 Nonlinear Analysis. Real World Applications
56 Comptes Rendus. Mathématique. Académie des Sciences, Paris
55 Journal of Applied Mathematics
54 Physics Letters. A
54 The Journal of Fourier Analysis and Applications
53 Studies in Applied Mathematics
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49 Journal of Geometry and Physics
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