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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: 4,427 Publications (since 1985)
References Indexed: 860 Publications with 33,006 References.
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...and 179 more Volumes
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Authors

72 Yamamoto, Masahiro
39 Ikehata, Masaru
39 Klibanov, Michael V.
36 Bertero, Mario
35 Somersalo, Erkki
32 Ramlau, Ronny
31 Burger, Martin
31 Colton, David Lem
30 Borcea, Liliana
30 Kaltenbacher, Barbara
30 Scherzer, Otmar
29 Cakoni, Fioralba
29 Cheney, Margaret
28 Hofmann, Bernd
27 Bal, Guillaume
27 Haddar, Houssem
27 Papanicolaou, George C.
26 Aktosun, Tuncay
26 Kaipio, Jari P.
26 Kirsch, Andreas
26 Kress, Rainer
26 Nakamura, Gen
26 Ramm, Alexander G.
24 Arridge, Simon R.
23 Louis, Alfred Karl
23 Monk, Peter B.
23 Siltanen, Samuli
23 Uhlmann, Gunther Alberto
22 Piana, Michele
21 Hu, Guanghui
21 Jin, Bangti
21 Rundell, William
21 Zou, Jun
20 Calvetti, Daniela
20 Hohage, Thorsten
20 Lesselier, Dominique
20 Seo, Jin Keun
19 Fokas, Athanassios S.
19 Isakov, Victor M.
19 Jin, Qinian
19 Schuster, Thomas
18 Boccacci, Patrizia
18 de Hoop, Maarten V.
18 Haltmeier, Markus
18 Lassas, Matti
18 Liu, Xiaodong
18 Novikov, Roman G.
17 Bao, Gang
17 Boiti, Marco
17 Cheng, Jin
17 Garnier, Josselin
17 Haber, Eldad
17 Kunyansky, Leonid A.
17 Liu, Hongyu
17 Pempinelli, Flora
17 Pike, E. R.
17 Potthast, Roland W. E.
17 Zhang, Bo
16 El Badia, Abdellatif
16 Hyvönen, Nuutti
16 Lionheart, William Robert Breckon
15 Defrise, Michel
15 Li, Peijun
15 McLaughlin, Joyce Rogers
15 Sabatier, Pierre C.
14 Đinh Nho Hào
14 Dorn, Oliver
14 Grünbaum, Francisco Alberto
14 Kang, Hyeonbae
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 Lechleiter, Armin
13 Pereverzev, Sergei V.
13 Schotland, John C.
13 Stefanov, Plamen D.
13 Tsogka, Chrysoula
13 van den Berg, Peter M.
12 Abubakar, Aria
12 Bellassoued, Mourad
12 Borden, Brett
12 Han, Bo
12 Herman, Gabor T.
12 Hettlich, Frank
12 Kolehmainen, Ville
12 Mathé, Peter
12 Palamodov, Victor Pavlovitch
12 Rieder, Andreas
12 Sini, Mourad
12 Stuart, Andrew M.
12 Tautenhahn, Ulrich
12 Vauhkonen, Marko
12 Wang, Jenn-Nan
...and 4,496 more Authors
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Fields

2,395 Partial differential equations (35-XX)
1,764 Numerical analysis (65-XX)
835 Optics, electromagnetic theory (78-XX)
566 Biology and other natural sciences (92-XX)
353 Operator theory (47-XX)
343 Information and communication theory, circuits (94-XX)
324 Integral transforms, operational calculus (44-XX)
283 Statistics (62-XX)
263 Geophysics (86-XX)
262 Ordinary differential equations (34-XX)
260 Fluid mechanics (76-XX)
255 Mechanics of deformable solids (74-XX)
232 Integral equations (45-XX)
197 Dynamical systems and ergodic theory (37-XX)
176 Calculus of variations and optimal control; optimization (49-XX)
147 Operations research, mathematical programming (90-XX)
143 Computer science (68-XX)
136 Quantum theory (81-XX)
82 Probability theory and stochastic processes (60-XX)
78 Harmonic analysis on Euclidean spaces (42-XX)
78 Systems theory; control (93-XX)
68 Global analysis, analysis on manifolds (58-XX)
54 Linear and multilinear algebra; matrix theory (15-XX)
49 Differential geometry (53-XX)
49 Statistical mechanics, structure of matter (82-XX)
41 Classical thermodynamics, heat transfer (80-XX)
40 Astronomy and astrophysics (85-XX)
38 Potential theory (31-XX)
33 Mechanics of particles and systems (70-XX)
29 Functional analysis (46-XX)
27 Functions of a complex variable (30-XX)
24 Difference and functional equations (39-XX)
23 Special functions (33-XX)
21 General and overarching topics; collections (00-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Approximations and expansions (41-XX)
11 Abstract harmonic analysis (43-XX)
11 Relativity and gravitational theory (83-XX)
10 Real functions (26-XX)
7 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 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

3,511 Publications have been cited 37,878 times in 14,495 Documents Cited by Year
A unified treatment of some iterative algorithms in signal processing and image reconstruction. Zbl 1051.65067
Byrne, Charles
531
2004
Iterative oblique projection onto convex sets and the split feasibility problem. Zbl 0996.65048
Byrne, Charles
421
2002
The multiple-sets split feasibility problem and its applications for inverse problems. Zbl 1089.65046
Censor, Yair; Elfving, Tommy; Kopf, Nirit; Bortfeld, Thomas
295
2005
A variable Krasnosel’skiĭ–Mann algorithm and the multiple-set split feasibility problem. Zbl 1126.47057
Xu, Hong-Kun
257
2006
Optical tomography in medical imaging. Zbl 0926.35155
Arridge, S. R.
232
1999
The relaxed CQ algorithm solving the split feasibility problem. Zbl 1066.65047
Yang, Qingzhi
221
2004
Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces. Zbl 1213.65085
Xu, Hong-Kun
203
2010
Inverse scattering transform for the Camassa–Holm equation. Zbl 1105.37044
Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I.
198
2006
Analysis of bounded variation penalty methods for ill-posed problems. Zbl 0809.35151
Acar, R.; Vogel, C. R.
177
1994
Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems. Zbl 0695.65037
Engl, Heinz W.; Kunisch, Karl; Neubauer, Andreas
174
1989
A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133
Colton, David; Kirsch, Andreas
161
1996
A note on the \(CQ\) algorithm for the split feasibility problem. Zbl 1080.65033
Qu, Biao; Xiu, Naihua
161
2005
The split common fixed-point problem for demicontractive mappings. Zbl 1219.90185
Moudafi, A.
143
2010
Inverse problems and Carleman estimates. Zbl 0755.35151
Klibanov, Michael V.
133
1992
Solving the split feasibility problem without prior knowledge of matrix norms. Zbl 1262.90193
López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun
132
2012
Multi-peakon solutions of the Degasperis-Procesi equation. Zbl 1041.35090
Lundmark, Hans; Szmigielski, Jacek
129
2003
Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation. Zbl 1181.35322
Cheng, Jin; Nakagawa, Junichi; Yamamoto, Masahiro; Yamazaki, Tomohiro
123
2009
Multi-peakons and a theorem of Stieltjes. Zbl 0923.35154
Beals, R.; Sattinger, D. H.; Szmigielski, J.
119
1999
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.
118
2007
Geometry of linear ill-posed problems in variable Hilbert spaces. Zbl 1026.65040
Mathé, Peter; Pereverzev, Sergei V.
116
2003
Electrical impedance tomography. Zbl 1031.35147
Borcea, Liliana
114
2002
Electrical impedance tomography and Calderón’s problem. Zbl 1181.35339
Uhlmann, G.
112
2009
Characterization of the shape of a scattering obstacle using the spectral data of the far field operator. Zbl 0919.35147
Kirsch, Andreas
108
1998
A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems. Zbl 0873.65057
Hanke, Martin
108
1997
The stability for the Cauchy problem for elliptic equations. Zbl 1190.35228
Alessandrini, Giovanni; Rondi, Luca; Rosset, Edi; Vessella, Sergio
103
2009
Carleman estimates for parabolic equations and applications. Zbl 1194.35512
Yamamoto, Masahiro
99
2009
Several solution methods for the split feasibility problem. Zbl 1080.65035
Zhao, Jinling; Yang, Qingzhi
97
2005
Convergence rates of convex variational regularization. Zbl 1068.65085
Burger, Martin; Osher, Stanley
94
2004
A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027
Jin, Bangti; Rundell, William
93
2015
A survey of matrix inverse eigenvalue problems. Zbl 0633.65036
Boley, Daniel; Golub, Gene H.
90
1987
Inverse problems in elasticity. Zbl 1070.35118
Bonnet, Marc; Constantinescu, Andrei
90
2005
Lipschitz stability in inverse parabolic problems by the Carleman estimate. Zbl 0992.35110
Imanuvilov, Oleg Yu; Yamamoto, Masahiro
88
1998
Sparsity and incoherence in compressive sampling. Zbl 1120.94005
Candès, Emmanuel; Romberg, Justin
87
2007
Structural identification of an unknown source term in a heat equation. Zbl 0917.35156
Cannon, J. R.; DuChateau, Paul
85
1998
Restricted isometry properties and nonconvex compressive sensing. Zbl 1143.94004
Chartrand, Rick; Staneva, Valentina
79
2008
Prolate spheroidal wavefunctions, quadrature and interpolation. Zbl 0991.65024
Xiao, H.; Rokhlin, V.; Yarvin, N.
78
2001
Exponential instability in an inverse problem for the Schrödinger equation. Zbl 0985.35110
Mandache, Niculae
77
2001
Global Lipschitz stability in an inverse hyperbolic problem by interior observations. Zbl 0983.35151
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro
77
2001
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.
77
1998
The domain derivative and two applications in inverse scattering theory. Zbl 0773.35085
Kirsch, A.
77
1993
Tensor completion and low-\(n\)-rank tensor recovery via convex optimization. Zbl 1211.15036
Gandy, Silvia; Recht, Benjamin; Yamada, Isao
77
2011
The strong convergence of a KM-CQ-like algorithm for a split feasibility problem. Zbl 1211.65065
Dang, Yazheng; Gao, Yan
75
2011
Krasnoselski–Mann iteration for hierarchical fixed-point problems. Zbl 1128.47060
Moudafi, Abdellatif
75
2007
Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014
Golub, Gene; Pereyra, Victor
74
2003
Analysis versus synthesis in signal priors. Zbl 1138.93055
Elad, Michael; Milanfar, Peyman; Rubinstein, Ron
73
2007
Inverse source problem for a fractional diffusion equation. Zbl 1211.35280
Zhang, Ying; Xu, Xiang
73
2011
Boundary control in reconstruction of manifolds and metrics (the BC method). Zbl 0990.35135
Belishev, M. I.
72
1997
A survey on sampling and probe methods for inverse problems. Zbl 1094.35144
Potthast, Roland
71
2006
Thermoacoustic tomography with variable sound speed. Zbl 1177.35256
Stefanov, Plamen; Uhlmann, Gunther
70
2009
Uniqueness and stability in an inverse problem for the Schrödinger equation. Zbl 1023.35091
Baudouin, Lucie; Puel, Jean-Pierre
69
2002
Solutions of inverse nodal problems. Zbl 0667.34020
Hald, Ole H.; McLaughlin, Joyce R.
68
1989
Level set methods for inverse scattering. Zbl 1191.35272
Dorn, Oliver; Lesselier, Dominique
68
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
67
1989
Proximity algorithms for image models: denoising. Zbl 1216.94015
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng
67
2011
Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method. Zbl 0822.35154
Yamamoto, Masahiro
66
1995
An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203
Jin, Bangti; Rundell, William
65
2012
Simultaneous reconstruction of the initial temperature and heat radiative coefficient. Zbl 0987.35166
Yamamoto, Masahiro; Zou, Jun
64
2001
Logarithmic convergence rates of the iteratively regularized Gauss-Newton method for an inverse potential and an inverse scattering problem. Zbl 0895.35109
Hohage, Thorsten
63
1997
A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123
Colton, David; Piana, Michele; Potthast, Roland
63
1997
Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512
Strong, David; Chan, Tony
63
2003
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.
62
1986
Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets. Zbl 0938.35190
Bouchouev, Ilia; Isakov, Victor
62
1999
One new strategy for a priori choice of regularizing parameters in Tikhonov’s regularization. Zbl 0957.65052
Cheng, J.; Yamamoto, M.
62
2000
Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates. Zbl 1205.65194
Egger, Herbert; Engl, Heinz W.
62
2005
Level-set function approach to an inverse interface problem. Zbl 0986.35130
Ito, Kazufumi; Kunisch, Karl; Li, Zhilin
61
2001
An inverse problem in corrosion detection. Zbl 0882.35133
Inglese, Gabriele
61
1997
Explicit inversion formulae for the spherical mean Radon transform. Zbl 1127.44003
Kunyansky, Leonid A.
61
2007
Recent progress in the boundary control method. Zbl 1126.35089
Belishev, M. I.
60
2007
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139
Kress, Rainer; Rundell, William
60
2005
Inverse spectral problems for Sturm-Liouville operators on graphs. Zbl 1089.34009
Yurko, V.
59
2005
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
59
2013
A scaled gradient projection method for constrained image deblurring. Zbl 1155.94011
Bonettini, S.; Zanella, R.; Zanni, L.
58
2009
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
58
1994
Nonlinear evolution equations, rescalings, model PDEs and their integrability. I. Zbl 0645.35087
Calogero, Francesco; Eckhaus, Wiktor
57
1987
Solving Cauchy problems by minimizing an energy-like functional. Zbl 1089.35084
Andrieux, S.; Baranger, T. N.; Ben Abda, A.
57
2006
Nonparametric statistical inverse problems. Zbl 1137.62323
Cavalier, L.
57
2008
Inverse nodal problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions. Zbl 0860.34007
Browne, Patrick J.; Sleeman, B. D.
56
1996
On the method of Lavrentiev regularization for nonlinear ill-posed problems. Zbl 1005.65058
Tautenhahn, U.
56
2002
Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media. Zbl 1180.35563
Hristova, Yulia; Kuchment, Peter; Nguyen, Linh
56
2008
Generalized KM theorems and their applications. Zbl 1117.65081
Yang, Qingzhi; Zhao, Jinling
56
2006
Optical tomography: forward and inverse problems. Zbl 1188.35197
Arridge, Simon R.; Schotland, John C.
56
2009
Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography. Zbl 1044.78513
Kaipio, Jari P.; Kolehmainen, Ville; Somersalo, Erkki; Vauhkonen, Marko
56
2000
Linear spectral problems, nonlinear equations and the \({\bar \partial}\)- method. Zbl 0685.35080
Beals, Richard; Coifman, R. R.
55
1989
An implementation of the reconstruction algorithm of A. Nachman for the 2D inverse conductivity problem. Zbl 0962.35193
Siltanen, Samuli; Mueller, Jennifer; Isaacson, David
55
2000
Prolongation algebras and Hamiltonian operators for peakon equations. Zbl 1020.35096
Hone, Andrew N. W.; Wang, Jing Ping
54
2003
On a global estimate in a linear inverse hyperbolic problem. Zbl 0862.35141
Puel, Jean-Pierre; Yamamoto, Masahiro
54
1996
Multisoliton solutions of the Degasperis-Procesi equation and their peakon limit. Zbl 1086.35095
Matsuno, Yoshimasa
54
2005
Identification of Robin coefficients by the means of boundary measurements. Zbl 0943.35100
Chaabane, Slim; Jaoua, Mohamed
54
1999
Fréchet derivatives in inverse obstacle scattering. Zbl 0821.35147
Hettlich, Frank
53
1995
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.
53
2008
An inverse source problem in potential analysis. Zbl 0963.35194
El Badia, A.; Ha-Duong, T.
53
2000
Uniqueness in inverse obstacle scattering. Zbl 0787.35119
Kirsch, Andreas; Kress, Rainer
53
1993
Identifying the volatility of underlying assets from option prices. Zbl 0997.91024
Jiang, Lishang; Tao, Youshan
52
2001
Identification of planar cracks by complete overdetermined data: Inversion formulae. Zbl 0858.35131
Andrieux, Stéphane; Ben Abda, Amel
52
1996
Numerical identification of parameters in parabolic systems. Zbl 0894.35127
Keung, Yee Lo; Zou, Jun
52
1998
Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406
Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I.
52
2008
Fréchet differentiability of boundary integral operators in inverse acoustic scattering. Zbl 0805.35157
Potthast, Roland
52
1994
Determination of a coefficient in an acoustic equation with a single measurement. Zbl 1020.35117
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro
51
2003
Construction of dKP and BKP equations with self-consistent sources. Zbl 1105.37043
Hu, Xing-Biao; Wang, Hong-Yan
51
2006
Approximate solution of a Cauchy problem for the Helmholtz equation. Zbl 1099.35160
Regińska, Teresa; Regiński, Kazimierz
50
2006
Monotonicity principle in tomography of nonlinear conducting materials. Zbl 1462.78012
Corbo Esposito, Antonio; Faella, Luisa; Piscitelli, Gianpaolo; Prakash, Ravi; Tamburrino, Antonello
2
2021
A projected Bouligand-Landweber iteration for non-smooth ill-posed problems. Zbl 07323231
Fu, Zhenwu; Chen, Yong; Han, Bo
1
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
1
2021
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
2021
A deterministic-statistical approach to reconstruct moving sources using sparse partial data. Zbl 1466.35369
Liu, Yanfang; Guo, Yukun; Sun, Jiguang
1
2021
3D Compton scattering imaging with multiple scattering: analysis by FIO and contour reconstruction. Zbl 1466.35372
Rigaud, Gaël
1
2021
Recovery of coefficients for a weighted \(p\)-Laplacian perturbed by a linear second order term. Zbl 1460.35386
Cârstea, Cătălin I.; Kar, Manas
1
2021
Recovering a quasilinear conductivity from boundary measurements. Zbl 1457.65172
Shankar, Ravi
1
2021
A direct method for solving inverse Sturm-Liouville problems. Zbl 07305940
Kravchenko, Vladislav V.; Torba, Sergii M.
1
2021
Unique determination for an inverse problem from the vortex dynamics. Zbl 1462.34041
Lai, Ru-Yu; Zhou, Hanming
1
2021
An inverse potential problem for subdiffusion: stability and reconstruction. Zbl 1458.35477
Jin, Bangti; Zhou, Zhi
1
2021
The sliding Frank-Wolfe algorithm and its application to super-resolution microscopy. Zbl 1434.65082
Denoyelle, Quentin; Duval, Vincent; Peyré, Gabriel; Soubies, Emmanuel
6
2020
Convergence analysis of (statistical) inverse problems under conditional stability estimates. Zbl 07153871
Werner, Frank; Hofmann, Bernd
6
2020
Uniqueness in inverse cavity scattering problems with phaseless near-field data. Zbl 1460.35246
Zhang, Deyue; Wang, Yinglin; Guo, Yukun; Li, Jingzhi
6
2020
NETT: solving inverse problems with deep neural networks. Zbl 1456.65038
Li, Housen; Schwab, Johannes; Antholzer, Stephan; Haltmeier, Markus
5
2020
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.
5
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The Calderón problem for the fractional magnetic operator. Zbl 1443.35194
Li, Li
4
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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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Webber, James; Miller, Eric L.
4
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4
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4
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4
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4
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Half-inverse Sturm-Liouville problem on a time scale. Zbl 1433.93084
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4
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An inverse acoustic-elastic interaction problem with phased or phaseless far-field data. Zbl 1437.35702
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4
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Recovering piecewise constant refractive indices by a single far-field pattern. Zbl 1446.35262
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4
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Monotonicity in inverse obstacle scattering on unbounded domains. Zbl 1458.35469
Albicker, Annalena; Griesmaier, Roland
4
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The inverse problem of reconstructing reaction-diffusion systems. Zbl 1444.65055
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3
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Convergence rates of Tikhonov regularizations for elliptic and parabolic inverse radiativity problems. Zbl 07220290
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3
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Numerical schemes to reconstruct three-dimensional time-dependent point sources of acoustic waves. Zbl 07220297
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3
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A new temporal control approach for SCAO systems. Zbl 1440.93131
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3
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3
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Haubner, Johannes; Ulbrich, Michael; Ulbrich, Stefan
3
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Hyper-differential sensitivity analysis for inverse problems constrained by partial differential equations. Zbl 1453.35197
Sunseri, Isaac; Hart, Joseph; van Bloemen Waanders, Bart; Alexanderian, Alen
2
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Hölder-logarithmic stability in Fourier synthesis. Zbl 1453.42008
Isaev, Mikhail; Novikov, Roman G.
2
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Bayesian approach to inverse time-harmonic acoustic scattering with phaseless far-field data. Zbl 1443.76205
Yang, Zhipeng; Gui, Xinping; Ming, Ju; Hu, Guanghui
2
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Optimal experimental design under irreducible uncertainty for linear inverse problems governed by PDEs. Zbl 1443.62213
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2
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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
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A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium. Zbl 1433.78016
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2
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Reconstruction of the principal coefficient in the damped wave equation from Dirichlet-to-Neumann operator. Zbl 1457.35094
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2
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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
2
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Cryo-EM reconstruction of continuous heterogeneity by Laplacian spectral volumes. Zbl 07161831
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2
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Sharp stability estimate for the geodesic ray transform. Zbl 1450.44003
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2
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Recovery of singularities for the weighted cone transform appearing in Compton camera imaging. Zbl 1442.44003
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The ML-EM algorithm in continuum: sparse measure solutions. Zbl 1436.62392
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2
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Unique reconstruction of the potential for the interior transmission eigenvalue problem for spherically stratified media. Zbl 1436.35328
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2
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2
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Convexification for an inverse parabolic problem. Zbl 1445.35333
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1
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Backward problems in time for fractional diffusion-wave equation. Zbl 1456.35205
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Moon, Sunghwan; Haltmeier, Markus
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Classification of stroke using neural networks in electrical impedance tomography. Zbl 1451.92178
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Romanov, Vladimir; Hasanov, Alemdar
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Carlsson, Marcus; Gerosa, Daniele; Olsson, Carl
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TV-based reconstruction of periodic functions. Zbl 1458.94087
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Stability for inverse source problems by Carleman estimates. Zbl 1459.35393
Huang, X.; Yu Imanuvilov, Oleg; Yamamoto, M.
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Radiative transport model for coherent acousto-optic tomography. Zbl 1442.65453
Chung, Francis J.; Hoskins, Jeremy G.; Schotland, John C.
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The bound-state soliton solutions of the complex modified KdV equation. Zbl 1447.35290
Zhang, Yongshuai; Tao, Xiangxing; Xu, Shuwei
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A parameter choice rule for Tikhonov regularization based on predictive risk. Zbl 07211714
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Cueva, Evelyn; Courdurier, Matias; Osses, Axel; Castañeda, Victor; Palacios, Benjamin; Härtel, Steffen
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Real, Rommel; Jin, Qinian
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Uniqueness of an inverse source problem in experimental aeroacoustics. Zbl 1464.76186
Hohage, Thorsten; Raumer, Hans-Georg; Spehr, Carsten
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Adaptive reconstruction for electrical impedance tomography with a piecewise constant conductivity. Zbl 1439.35564
Jin, Bangti; Xu, Yifeng
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Quasi-best approximation in optimization with PDE constraints. Zbl 1457.49022
Gaspoz, Fernando; Kreuzer, Christian; Veeser, Andreas; Wollner, Winnifried
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Image reconstruction through metamorphosis. Zbl 1447.94005
Gris, Barbara; Chen, Chong; Öktem, Ozan
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Preface to special issue on joint reconstruction and multi-modality/multi-spectral imaging. Zbl 1429.00023
Arridge, Simon R.; Burger, Martin; Ehrhardt, Matthias J.
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Factorization of the translation kernel for fast rigid image alignment. Zbl 07161829
Rangan, Aaditya; Spivak, Marina; Andén, Joakim; Barnett, Alex
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Sparsity and level set regularization for near-field electromagnetic imaging in 3D. Zbl 1433.78033
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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
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Explicit power laws in analytic continuation problems via reproducing kernel Hilbert spaces. Zbl 1455.65089
Grabovsky, Yury; Hovsepyan, Narek
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Solving inverse bioheat problems of skin tumour identification by dynamic thermography. Zbl 1435.80011
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Electro-magnetoencephalography for a spherical multiple-shell model: novel integral operators with singular-value decompositions. Zbl 07180441
Leweke, S.; Michel, V.; Fokas, A. S.
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The fixed angle scattering problem and wave equation inverse problems with two measurements. Zbl 1439.35569
Rakesh; Salo, Mikko
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Uniqueness of solution of an inverse source problem for ultrahyperbolic equations. Zbl 1446.45010
Gölgeleyen, Fikret; Yamamoto, Masahiro
1
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Inverse problems with partial data for elliptic operators on unbounded Lipschitz domains. Zbl 1445.35147
Behrndt, Jussi; Rohleder, Jonathan
1
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Applications of kinetic tools to inverse transport problems. Zbl 1452.65211
Li, Qin; Sun, Weiran
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Nachman’s reconstruction method for the Calderón problem with discontinuous conductivities. Zbl 1437.35356
Lytle, George; Perry, Peter; Siltanen, Samuli
1
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Modulus-based iterative methods for constrained \(\ell_p\)-\(\ell_q\) minimization. Zbl 1451.65072
Buccini, A.; Pasha, M.; Reichel, L.
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Consistency of Bayesian inference with Gaussian process priors in an elliptic inverse problem. Zbl 1445.35330
Giordano, Matteo; Nickl, Richard
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On diffusive scaling in acousto-optic imaging. Zbl 1445.35327
Chung, Francis J.; Lai, Ru-Yu; Li, Qin
1
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Microlocally accurate solution of the inverse source problem of thermoacoustic tomography. Zbl 1448.92110
Eller, M.; Hoskins, P.; Kunyansky, L.
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The D-bar method for electrical impedance tomography – demystified. Zbl 1453.78007
Mueller, J. L.; Siltanen, Samuli
1
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A frame decomposition of the atmospheric tomography operator. Zbl 1448.78011
Hubmer, Simon; Ramlau, Ronny
1
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Geometry of the phase retrieval problem. Zbl 1451.49037
Barnett, Alexander H.; Epstein, Charles L.; Greengard, Leslie F.; Magland, Jeremy F.
1
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Computed tomography reconstruction using deep image prior and learned reconstruction methods. Zbl 1460.68093
Baguer, Daniel Otero; Leuschner, Johannes; Schmidt, Maximilian
1
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A projective averaged Kaczmarz iteration for nonlinear ill-posed problems. Zbl 1451.65068
Tong, Shanshan; Han, Bo; Tang, Jinping
1
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Generalized V-line transforms in 2D vector tomography. Zbl 1461.44001
Ambartsoumian, Gaik; Jebelli, Mohammad Javad Latifi; Mishra, Rohit Kumar
1
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Inverse electromagnetic obstacle scattering problems with multi-frequency sparse backscattering far field data. Zbl 1450.35286
Arens, Tilo; Ji, Xia; Liu, Xiaodong
1
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Hyper-molecules: on the representation and recovery of dynamical structures for applications in flexible macro-molecules in cryo-EM. Zbl 1467.92076
Lederman, Roy R.; Andén, Joakim; Singer, Amit
1
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Consistency of a phase field regularisation for an inverse problem governed by a quasilinear Maxwell system. Zbl 07371357
Lam, Kei Fong; Yousept, Irwin
1
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The quadratic Wasserstein metric for inverse data matching. Zbl 1465.49029
Engquist, Björn; Ren, Kui; Yang, Yunan
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Cited by 13,485 Authors

128 Yamamoto, Masahiro
78 Fu, Chuli
77 Uhlmann, Gunther Alberto
74 Klibanov, Michael V.
73 Ammari, Habib M.
67 Nguyen Huy Tuan
67 Yang, Chuanfu
66 Lesnic, Daniel
61 Yurko, Vjacheslav Anatoljevich
56 Dehghan Takht Fooladi, Mehdi
56 Scherzer, Otmar
55 Hofmann, Bernd
55 Yao, Yonghong
52 Ma, Wen-Xiu
52 Ramm, Alexander G.
51 Liu, Jijun
50 Yin, Zhaoyang
49 Lassas, Matti
49 Wei, Ting
49 Yao, Jen-Chih
48 Ceng, Lu-Chuan
48 Xiong, Xiangtuan
45 Hu, Guanghui
45 Liou, Yeongcheng
44 Shehu, Yekini
43 Banks, Harvey Thomas
43 Kaltenbacher, Barbara
43 Nakamura, Gen
41 de Hoop, Maarten V.
41 Jin, Bangti
39 Liu, Hongyu
38 Geng, Xianguo
38 Han, Bo
38 Zou, Jun
37 Bellassoued, Mourad
37 Cakoni, Fioralba
37 Haddar, Houssem
37 Hasanoǧlu, Alemdar
37 Kress, Rainer
36 Fokas, Athanassios S.
35 Fan, Engui
35 Kian, Yavar
35 Pereverzev, Sergei V.
35 Reichel, Lothar
35 Sakhnovich, Alexander L.
34 Bal, Guillaume
34 Garnier, Josselin
34 Lu, Shuai
33 Salo, Mikko
33 Stuart, Andrew M.
33 Vessella, Sergio
32 Bondarenko, Natalia P.
32 Burger, Martin
32 Chang, Shih-Sen
32 Hon, Yiu-Chung
32 Liu, Chein-Shan
32 Marin, Liviu
32 Van der Mee, Cornelis Victor Maria
31 Cheng, Jin
31 George, Santhosh
31 Haltmeier, Markus
31 Huang, Ting-Zhu
31 Mathé, Peter
31 Yang, Fan
30 Kang, Hyeonbae
30 Ramlau, Ronny
30 Wei, Guangsheng
29 Bao, Gang
29 Novikov, Roman G.
29 Park, Won-Kwang
29 Sini, Mourad
29 Stefanov, Plamen D.
29 Xu, Hong-Kun
28 Belishev, Mikhail Igorevitch
28 Censor, Yair
28 Choulli, Mourad
28 Hyvönen, Nuutti
28 Jin, Qinian
28 Korotyaev, Evgeny L.
28 Kunisch, Karl
28 Ma, Fuming
28 Wen, Chingfeng
28 Yan, Guozheng
27 Aktosun, Tuncay
27 Cho, Yeol Je
27 Li, Jingzhi
27 Oksanen, Lauri
27 Trong, Dang Duc
26 Buterin, Sergey Alexandrovich
26 Cheng, Xiaoliang
26 Colton, David Lem
26 Hu, Xingbiao
26 Kumam, Poom
26 Novotny, Antonio André
26 Romanov, Vladimir Gavrilovich
26 Rundell, William
26 Wang, Jenn-Nan
26 Zhang, Bo
25 Đinh Nho Hào
25 Han, Weimin
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Cited in 737 Journals

678 Inverse Problems
462 Journal of Mathematical Physics
438 Inverse Problems in Science and Engineering
400 Journal of Inverse and Ill-Posed Problems
391 Journal of Computational and Applied Mathematics
386 Applied Mathematics and Computation
349 Journal of Mathematical Analysis and Applications
327 Applicable Analysis
297 Inverse Problems and Imaging
272 Journal of Computational Physics
223 Computers & Mathematics with Applications
181 Journal of Differential Equations
175 SIAM Journal on Imaging Sciences
162 Numerical Algorithms
157 Mathematical Methods in the Applied Sciences
153 Applied Mathematics Letters
140 SIAM Journal on Scientific Computing
137 Journal of Nonlinear Mathematical Physics
133 Applied and Computational Harmonic Analysis
130 Computer Methods in Applied Mechanics and Engineering
129 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
128 Theoretical and Mathematical Physics
119 Applied Numerical Mathematics
118 Numerical Functional Analysis and Optimization
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117 Abstract and Applied Analysis
116 Journal of Scientific Computing
114 Fixed Point Theory and Applications
109 Mathematical Problems in Engineering
108 SIAM Journal on Applied Mathematics
108 SIAM Journal on Mathematical Analysis
103 Wave Motion
99 Optimization
97 Journal of Mathematical Imaging and Vision
96 Communications in Mathematical Physics
95 Applied Mathematical Modelling
94 Engineering Analysis with Boundary Elements
92 Journal of Optimization Theory and Applications
88 Communications in Partial Differential Equations
87 Journal of Inequalities and Applications
84 Numerische Mathematik
75 Computational Optimization and Applications
70 Journal of Functional Analysis
63 Journal of Integral Equations and Applications
63 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
62 International Journal of Computer Mathematics
59 Mathematics of Computation
58 Journal of Mathematical Sciences (New York)
57 Chaos, Solitons and Fractals
57 Advances in Computational Mathematics
57 SIAM/ASA Journal on Uncertainty Quantification
56 Journal de Mathématiques Pures et Appliquées. Neuvième Série
56 Computational Geosciences
55 Physica D
55 Journal of Applied Mathematics
55 Comptes Rendus. Mathématique. Académie des Sciences, Paris
53 Studies in Applied Mathematics
52 Mathematics and Computers in Simulation
52 Boundary Value Problems
51 Computational and Applied Mathematics
51 Nonlinear Analysis. Real World Applications
50 SIAM Journal on Numerical Analysis
50 The Journal of Fourier Analysis and Applications
50 Communications in Nonlinear Science and Numerical Simulation
48 Proceedings of the American Mathematical Society
48 Transactions of the American Mathematical Society
47 Journal of Geometry and Physics
47 Analysis and Mathematical Physics
46 Physics Letters. A
45 Mathematical and Computer Modelling
45 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
44 Journal of Nonlinear Science and Applications
43 Letters in Mathematical Physics
43 BIT
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43 Acta Applicandae Mathematicae
42 Archive for Rational Mechanics and Analysis
40 Acta Mathematicae Applicatae Sinica. English Series
39 The Annals of Statistics
39 Integral Equations and Operator Theory
39 Discrete and Continuous Dynamical Systems
36 International Journal for Numerical Methods in Engineering
36 SIAM Journal on Optimization
36 Differential Equations
36 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
36 Electronic Journal of Statistics
35 Quarterly of Applied Mathematics
34 Advances in Mathematics
33 Mathematical Notes
33 Foundations of Computational Mathematics
33 Advances in Mathematical Physics
32 Journal of Fixed Point Theory and Applications
31 Applied Mathematics and Optimization
31 The Journal of Geometric Analysis
30 Mathematical Programming. Series A. Series B
29 Reports on Mathematical Physics
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878 Biology and other natural sciences (92-XX)
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