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: 4,750 Publications (since 1985) References Indexed: 1,180 Publications with 46,558 References. all top 5 Latest Issues 39, No. 12 (2023) 39, No. 11 (2023) 39, No. 10 (2023) 39, No. 9 (2023) 39, No. 8 (2023) 39, No. 7 (2023) 39, No. 6 (2023) 39, No. 5 (2023) 39, No. 4 (2023) 39, No. 3 (2023) 39, No. 2 (2023) 39, No. 1 (2023) 38, No. 12 (2022) 38, No. 11 (2022) 38, No. 10 (2022) 38, No. 9 (2022) 38, No. 8 (2022) 38, No. 7 (2022) 38, No. 6 (2022) 38, No. 5 (2022) 38, No. 4 (2022) 38, No. 3 (2022) 38, No. 2 (2022) 38, No. 1 (2022) 37, No. 12 (2021) 37, No. 11 (2021) 37, No. 10 (2021) 37, No. 9 (2021) 37, No. 8 (2021) 37, No. 7 (2021) 37, No. 6 (2021) 37, No. 5 (2021) 37, No. 4 (2021) 37, No. 3 (2021) 37, No. 2 (2021) 37, No. 1 (2021) 36, No. 12 (2020) 36, No. 11 (2020) 36, No. 10 (2020) 36, No. 9 (2020) 36, No. 8 (2020) 36, No. 7 (2020) 36, No. 6 (2020) 36, No. 5 (2020) 36, No. 4 (2020) 36, No. 3 (2020) 36, No. 2 (2020) 36, No. 1 (2020) 35, No. 12 (2019) 35, No. 11 (2019) 35, No. 10 (2019) 35, No. 9 (2019) 35, No. 8 (2019) 35, No. 7 (2019) 35, No. 6 (2019) 35, No. 5 (2019) 35, No. 4 (2019) 35, No. 3 (2019) 35, No. 2 (2019) 35, No. 1 (2019) 34, No. 12 (2018) 34, No. 11 (2018) 34, No. 10 (2018) 34, No. 9 (2018) 34, No. 8 (2018) 34, No. 7 (2018) 34, No. 6 (2018) 34, No. 5 (2018) 34, No. 4 (2018) 34, No. 3 (2018) 34, No. 2 (2018) 34, No. 1 (2018) 33, No. 12 (2017) 33, No. 11 (2017) 33, No. 10 (2017) 33, No. 9 (2017) 33, No. 8 (2017) 33, No. 7 (2017) 33, No. 6 (2017) 33, No. 5 (2017) 33, No. 4 (2017) 33, No. 3 (2017) 33, No. 2 (2017) 33, No. 1 (2017) 32, No. 12 (2016) 32, No. 11 (2016) 32, No. 10 (2016) 32, No. 9 (2016) 32, No. 8 (2016) 32, No. 7 (2016) 32, No. 6 (2016) 32, No. 5 (2016) 32, No. 4 (2016) 32, No. 3 (2016) 32, No. 2 (2016) 32, No. 1 (2016) 31, No. 12 (2015) 31, No. 11 (2015) 31, No. 10 (2015) 31, No. 9 (2015) ...and 205 more Volumes all top 5 Authors 77 Yamamoto, Masahiro 43 Klibanov, Michael V. 41 Ikehata, Masaru 38 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 28 Bal, Guillaume 28 Kaipio, Jari P. 28 Nakamura, Gen 27 Jin, Bangti 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 Louis, Alfred Karl 24 Monk, Peter B. 24 Siltanen, Samuli 24 Zou, Jun 23 Calvetti, Daniela 23 Li, Peijun 23 Rundell, William 23 Uhlmann, Gunther Alberto 22 Haltmeier, Markus 22 Liu, Hongyu 22 Piana, Michele 21 Jin, Qinian 21 Lassas, Matti J. 21 Novikov, Roman G. 20 de Hoop, Maarten V. 20 Hohage, Thorsten 20 Isakov, Victor M. 20 Lesselier, Dominique 20 Seo, Jin Keun 19 Boccacci, Patrizia 19 Fokas, Athanassios S. 19 Kunyansky, Leonid A. 19 Liu, Xiaodong 19 Schuster, Thomas 18 Cheng, Jin 18 Garnier, Josselin 18 Haber, Eldad 18 Hyvönen, Nuutti 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 Schönlieb, Carola-Bibiane 16 Tsogka, Chrysoula 15 Defrise, Michel 15 Imanuvilov, Oleg Yu. 15 Katsevich, Alexander I. 15 Leitão, Antonio 15 Maass, Peter 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 Lechleiter, Armin 13 Pereverzev, Sergei V. 13 van den Berg, Peter M. 13 Yazici, Birsen 12 Abubakar, Aria 12 Bellassoued, Mourad 12 Borden, Brett 12 Fannjiang, Albert C. 12 Hasanoǧlu, Alemdar 12 Herman, Gabor T. 12 Hettlich, Frank 12 Ito, Kazufumi ...and 4,933 more Authors all top 5 Fields 2,563 Partial differential equations (35-XX) 1,903 Numerical analysis (65-XX) 877 Optics, electromagnetic theory (78-XX) 597 Biology and other natural sciences (92-XX) 383 Information and communication theory, circuits (94-XX) 362 Operator theory (47-XX) 341 Integral transforms, operational calculus (44-XX) 321 Statistics (62-XX) 274 Fluid mechanics (76-XX) 274 Geophysics (86-XX) 272 Mechanics of deformable solids (74-XX) 261 Ordinary differential equations (34-XX) 234 Integral equations (45-XX) 199 Dynamical systems and ergodic theory (37-XX) 198 Calculus of variations and optimal control; optimization (49-XX) 179 Operations research, mathematical programming (90-XX) 166 Computer science (68-XX) 139 Quantum theory (81-XX) 95 Probability theory and stochastic processes (60-XX) 87 Harmonic analysis on Euclidean spaces (42-XX) 85 Systems theory; control (93-XX) 70 Global analysis, analysis on manifolds (58-XX) 57 Linear and multilinear algebra; matrix theory (15-XX) 49 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) 21 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) 14 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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 3,895 Publications have been cited 50,020 times in 18,563 Documents Cited by ▼ Year ▼ A unified treatment of some iterative algorithms in signal processing and image reconstruction. Zbl 1051.65067Byrne, Charles 715 2004 Iterative oblique projection onto convex sets and the split feasibility problem. Zbl 0996.65048Byrne, Charles 590 2002 The multiple-sets split feasibility problem and its applications for inverse problems. Zbl 1089.65046Censor, Yair; Elfving, Tommy; Kopf, Nirit; Bortfeld, Thomas 415 2005 A variable Krasnosel’skiĭ–Mann algorithm and the multiple-set split feasibility problem. Zbl 1126.47057Xu, Hong-Kun 299 2006 Optical tomography in medical imaging. Zbl 0926.35155Arridge, S. R. 278 1999 Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces. Zbl 1213.65085Xu, Hong-Kun 269 2010 The relaxed CQ algorithm solving the split feasibility problem. Zbl 1066.65047Yang, Qingzhi 260 2004 Inverse scattering transform for the Camassa–Holm equation. Zbl 1105.37044Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I. 232 2006 Analysis of bounded variation penalty methods for ill-posed problems. Zbl 0809.35151Acar, R.; Vogel, C. R. 218 1994 A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133Colton, David; Kirsch, Andreas 209 1996 Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems. Zbl 0695.65037Engl, Heinz W.; Kunisch, Karl; Neubauer, Andreas 208 1989 Solving the split feasibility problem without prior knowledge of matrix norms. Zbl 1262.90193López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun 189 2012 A note on the \(CQ\) algorithm for the split feasibility problem. Zbl 1080.65033Qu, Biao; Xiu, Naihua 186 2005 The split common fixed-point problem for demicontractive mappings. Zbl 1219.90185Moudafi, A. 184 2010 Electrical impedance tomography and Calderón’s problem. Zbl 1181.35339Uhlmann, G. 172 2009 Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation. Zbl 1181.35322Cheng, Jin; Nakagawa, Junichi; Yamamoto, Masahiro; Yamazaki, Tomohiro 169 2009 Electrical impedance tomography. Zbl 1031.35147Borcea, Liliana 163 2002 Inverse problems and Carleman estimates. Zbl 0755.35151Klibanov, Michael V. 161 1992 Carleman estimates for parabolic equations and applications. Zbl 1194.35512Yamamoto, Masahiro 153 2009 Multi-peakon solutions of the Degasperis-Procesi equation. Zbl 1041.35090Lundmark, Hans; Szmigielski, Jacek 151 2003 A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators. Zbl 1131.65046Hofmann, B.; Kaltenbacher, B.; Pöschl, C.; Scherzer, O. 148 2007 A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems. Zbl 0873.65057Hanke, Martin 148 1997 The stability for the Cauchy problem for elliptic equations. Zbl 1190.35228Alessandrini, Giovanni; Rondi, Luca; Rosset, Edi; Vessella, Sergio 147 2009 A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027Jin, Bangti; Rundell, William 145 2015 Characterization of the shape of a scattering obstacle using the spectral data of the far field operator. Zbl 0919.35147Kirsch, Andreas 143 1998 Multi-peakons and a theorem of Stieltjes. Zbl 0923.35154Beals, R.; Sattinger, D. H.; Szmigielski, J. 134 1999 Geometry of linear ill-posed problems in variable Hilbert spaces. Zbl 1026.65040Mathé, Peter; Pereverzev, Sergei V. 130 2003 Lipschitz stability in inverse parabolic problems by the Carleman estimate. Zbl 0992.35110Imanuvilov, Oleg Yu; Yamamoto, Masahiro 120 1998 Convergence rates of convex variational regularization. Zbl 1068.65085Burger, Martin; Osher, Stanley 117 2004 Inverse problems in elasticity. Zbl 1070.35118Bonnet, Marc; Constantinescu, Andrei 114 2005 Several solution methods for the split feasibility problem. Zbl 1080.65035Zhao, Jinling; Yang, Qingzhi 110 2005 Sparsity and incoherence in compressive sampling. Zbl 1120.94005Candès, Emmanuel; Romberg, Justin 109 2007 Inverse source problem for a fractional diffusion equation. Zbl 1211.35280Zhang, Ying; Xu, Xiang 108 2011 A survey of matrix inverse eigenvalue problems. Zbl 0633.65036Boley, Daniel; Golub, Gene H. 104 1987 Exponential instability in an inverse problem for the Schrödinger equation. Zbl 0985.35110Mandache, Niculae 104 2001 Tensor completion and low-\(n\)-rank tensor recovery via convex optimization. Zbl 1211.15036Gandy, Silvia; Recht, Benjamin; Yamada, Isao 104 2011 Restricted isometry properties and nonconvex compressive sensing. Zbl 1143.94004Chartrand, Rick; Staneva, Valentina 104 2008 Structural identification of an unknown source term in a heat equation. Zbl 0917.35156Cannon, J. R.; DuChateau, Paul 101 1998 Separable nonlinear least squares: The variable projection method and its applications. 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S. 89 1998 An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203Jin, Bangti; Rundell, William 89 2012 Analysis versus synthesis in signal priors. Zbl 1138.93055Elad, Michael; Milanfar, Peyman; Rubinstein, Ron 89 2007 Solutions of inverse nodal problems. Zbl 0667.34020Hald, Ole H.; McLaughlin, Joyce R. 88 1989 Stable architectures for deep neural networks. Zbl 1426.68236Haber, Eldad; Ruthotto, Lars 87 2018 Prolate spheroidal wavefunctions, quadrature and interpolation. Zbl 0991.65024Xiao, H.; Rokhlin, V.; Yarvin, N. 84 2001 The domain derivative and two applications in inverse scattering theory. Zbl 0773.35085Kirsch, A. 84 1993 Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512Strong, David; Chan, Tony 83 2003 The strong convergence of a KM-CQ-like algorithm for a split feasibility problem. Zbl 1211.65065Dang, Yazheng; Gao, Yan 83 2011 Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method. Zbl 0822.35154Yamamoto, Masahiro 82 1995 Krasnoselski–Mann iteration for hierarchical fixed-point problems. Zbl 1128.47060Moudafi, Abdellatif 82 2007 A survey on sampling and probe methods for inverse problems. Zbl 1094.35144Potthast, Roland 82 2006 Inverse scattering problems with multi-frequencies. Zbl 1332.78019Bao, Gang; Li, Peijun; Lin, Junshan; Triki, Faouzi 82 2015 On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions. Zbl 0617.35119Boiti, M.; Leon, J. J.-P.; Manna, M.; Pempinelli, F. 81 1986 Uniqueness and stability in an inverse problem for the Schrödinger equation. Zbl 1023.35091Baudouin, Lucie; Puel, Jean-Pierre 81 2002 Level set methods for inverse scattering. Zbl 1191.35272Dorn, Oliver; Lesselier, Dominique 79 2006 Simultaneous reconstruction of the initial temperature and heat radiative coefficient. Zbl 0987.35166Yamamoto, Masahiro; Zou, Jun 79 2001 Boundary control in reconstruction of manifolds and metrics (the BC method). Zbl 0990.35135Belishev, M. I. 79 1997 One new strategy for a priori choice of regularizing parameters in Tikhonov’s regularization. Zbl 0957.65052Cheng, J.; Yamamoto, M. 77 2000 Optical tomography: forward and inverse problems. Zbl 1188.35197Arridge, Simon R.; Schotland, John C. 76 2009 A primal-dual fixed point algorithm for convex separable minimization with applications to image restoration. Zbl 1279.65075Chen, Peijun; Huang, Jianguo; Zhang, Xiaoqun 76 2013 An inverse problem in corrosion detection. Zbl 0882.35133Inglese, Gabriele 75 1997 An inverse source problem in potential analysis. Zbl 0963.35194El Badia, A.; Ha-Duong, T. 75 2000 Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography. Zbl 1044.78513Kaipio, Jari P.; Kolehmainen, Ville; Somersalo, Erkki; Vauhkonen, Marko 75 2000 An iterative regularization method for the solution of the split feasibility problem in Banach spaces. Zbl 1153.46308Schöpfer, F.; Schuster, T.; Louis, A. K. 74 2008 A scaled gradient projection method for constrained image deblurring. Zbl 1155.94011Bonettini, S.; Zanella, R.; Zanni, L. 74 2009 Solving Cauchy problems by minimizing an energy-like functional. Zbl 1089.35084Andrieux, S.; Baranger, T. N.; Ben Abda, A. 74 2006 Nonlinear evolution equations, rescalings, model PDEs and their integrability. I. Zbl 0645.35087Calogero, Francesco; Eckhaus, Wiktor 73 1987 A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation. Zbl 0683.65106Wang, Shingmin; Lin, Yanping 73 1989 Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets. Zbl 0938.35190Bouchouev, Ilia; Isakov, Victor 72 1999 Inverse spectral problems for Sturm-Liouville operators on graphs. Zbl 1089.34009Yurko, V. 71 2005 Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139Kress, Rainer; Rundell, William 71 2005 Level-set function approach to an inverse interface problem. Zbl 0986.35130Ito, Kazufumi; Kunisch, Karl; Li, Zhilin 70 2001 Logarithmic convergence rates of the iteratively regularized Gauss-Newton method for an inverse potential and an inverse scattering problem. Zbl 0895.35109Hohage, Thorsten 70 1997 Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates. Zbl 1205.65194Egger, Herbert; Engl, Heinz W. 69 2005 Nonparametric statistical inverse problems. 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R. 68 1989 Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations. Zbl 0805.65133Cannon, J. R.; Lin, Yanping; Xu, Shuzhan 67 1994 Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media. Zbl 1180.35563Hristova, Yulia; Kuchment, Peter; Nguyen, Linh 66 2008 Generalized KM theorems and their applications. Zbl 1117.65081Yang, Qingzhi; Zhao, Jinling 66 2006 An implementation of the reconstruction algorithm of A. Nachman for the 2D inverse conductivity problem. Zbl 0962.35193Siltanen, Samuli; Mueller, Jennifer; Isaacson, David 66 2000 Identification of planar cracks by complete overdetermined data: Inversion formulae. Zbl 0858.35131Andrieux, Stéphane; Ben Abda, Amel 65 1996 A direct sampling method to an inverse medium scattering problem. Zbl 1241.78025Ito, Kazufumi; Jin, Bangti; Zou, Jun 65 2012 Fréchet differentiability of boundary integral operators in inverse acoustic scattering. Zbl 0805.35157Potthast, Roland 63 1994 On the method of Lavrentiev regularization for nonlinear ill-posed problems. Zbl 1005.65058Tautenhahn, U. 63 2002 Prolongation algebras and Hamiltonian operators for peakon equations. Zbl 1020.35096Hone, Andrew N. W.; Wang, Jing Ping 63 2003 Solving ill-posed inverse problems using iterative deep neural networks. Zbl 1394.92070Adler, Jonas; Öktem, Ozan 63 2017 Fréchet derivatives in inverse obstacle scattering. Zbl 0821.35147Hettlich, Frank 62 1995 Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I. 62 2008 Coefficient inverse problem for a fractional diffusion equation. Zbl 1278.35268Miller, Luc; Yamamoto, Masahiro 62 2013 Inverse problems for mean field games. 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Zbl 1497.68541Rioux, Gabriel; Choksi, Rustum; Hoheisel, Tim; Maréchal, Pierre; Scarvelis, Christopher 5 2021 ...and 1470 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 17,274 Authors 150 Yamamoto, Masahiro 93 Klibanov, Michael V. 91 Uhlmann, Gunther Alberto 85 Nguyen Huy Tuan 82 Lesnic, Daniel 80 Fu, Chuli 78 Yang, Chuanfu 76 Wei, Ting 75 Ammari, Habib 72 Liu, Hongyu 67 Yao, Jen-Chih 66 Scherzer, Otmar 64 Lassas, Matti J. 64 Yurko, Vjacheslav Anatoljevich 63 Hofmann, Bernd 61 Ma, Wen-Xiu 60 Dehghan Takht Fooladi, Mehdi 57 Xiong, Xiangtuan 57 Yao, Yonghong 56 Kaltenbacher, Barbara 55 Liu, Jijun 54 Hu, Guanghui 54 Jin, Bangti 54 Li, Peijun 54 Yin, Zhaoyang 53 Han, Bo 53 Kumam, Poom 52 de Hoop, Maarten V. 52 Geng, Xianguo 52 Ramm, Alexander G. 51 Ceng, Lu-Chuan 49 Shehu, Yekini 48 Kian, Yavar 48 Nakamura, Gen 48 Zou, Jun 47 Fan, Engui 47 Haddar, Houssem 47 Stuart, Andrew M. 46 Bellassoued, Mourad 46 Mewomo, Oluwatosin Temitope 45 Bondarenko, Natalia P. 45 Liou, Yeongcheng 45 Salo, Mikko 43 Banks, Harvey Thomas 43 Hasanoǧlu, Alemdar 43 Ramlau, Ronny 43 Reichel, Lothar 42 Cakoni, Fioralba 42 Yang, Fan 41 Garnier, Josselin 40 Haltmeier, Markus 40 Oksanen, Lauri 39 Fokas, Athanassios S. 39 Marin, Liviu 39 Trong, Dang Duc 38 Li, Jingzhi 38 Lu, Shuai 37 Bao, Gang 37 Burger, Martin 37 Kress, Rainer 37 Park, Won-Kwang 37 Pereverzev, Sergei V. 37 Sakhnovich, Alexander L. 37 Yan, Guozheng 36 Bal, Guillaume 36 Cheng, Jin 36 Cholamjiak, Prasit 36 George, Santhosh 36 Hyvönen, Nuutti 36 Liu, Chein-Shan 36 Mathé, Peter 36 Nguyen, Loc Hoang 36 Vessella, Sergio 35 Chang, Shih-Sen 35 Choulli, Mourad 35 Novikov, Roman G. 35 Sun, Jiguang 35 Wei, Guangsheng 34 Sini, Mourad 34 Wang, Jenn-Nan 34 Zhang, Bo 33 Censor, Yair 33 He, Jingsong 33 Hon, Yiu-Chung 33 Huang, Ting-Zhu 33 Jin, Qinian 33 Kang, Hyeonbae 33 Khan, Akhtar Ali 33 Kunisch, Karl 33 Ma, Fuming 33 Romanov, Vladimir Gavrilovich 33 Van der Mee, Cornelis Victor Maria 33 Wen, Chingfeng 32 Belishev, Mikhail Igorevitch 32 Harrach, Bastian 32 Li, Xiaoxiao 32 Novotny, Antonio André 32 Schönlieb, Carola-Bibiane 32 Stefanov, Plamen D. 32 Zeng, Shengda ...and 17,174 more Authors all top 5 Cited in 850 Journals 1,023 Inverse Problems 509 Inverse Problems in Science and Engineering 494 Journal of Inverse and Ill-Posed Problems 478 Journal of Mathematical Physics 470 Journal of Computational and Applied Mathematics 429 Applied Mathematics and Computation 392 Applicable Analysis 382 Journal of Mathematical Analysis and Applications 366 Inverse Problems and Imaging 363 Journal of Computational Physics 278 SIAM Journal on Imaging Sciences 261 Computers & Mathematics with Applications 224 Journal of Differential Equations 206 Applied Mathematics Letters 191 Numerical Algorithms 187 SIAM Journal on Scientific Computing 177 Computer Methods in Applied Mechanics and Engineering 169 Journal of Scientific Computing 158 Applied and Computational Harmonic Analysis 157 Mathematical Methods in the Applied Sciences 151 SIAM Journal on Mathematical Analysis 150 Theoretical and Mathematical Physics 148 Journal of Nonlinear Mathematical Physics 139 SIAM Journal on Applied Mathematics 138 Numerical Functional Analysis and Optimization 138 Applied Numerical Mathematics 136 Nonlinear Analysis. 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Series B 39 Communications in Computational Physics 39 Electronic Journal of Statistics 38 Quarterly of Applied Mathematics 38 Journal of Applied Mathematics and Computing 37 GEM - International Journal on Geomathematics ...and 750 more Journals all top 5 Cited in 61 Fields 8,034 Partial differential equations (35-XX) 6,964 Numerical analysis (65-XX) 2,348 Operator theory (47-XX) 1,596 Calculus of variations and optimal control; optimization (49-XX) 1,485 Dynamical systems and ergodic theory (37-XX) 1,448 Optics, electromagnetic theory (78-XX) 1,408 Information and communication theory, circuits (94-XX) 1,406 Operations research, mathematical programming (90-XX) 1,248 Ordinary differential equations (34-XX) 1,224 Statistics (62-XX) 1,105 Biology and other natural sciences (92-XX) 1,102 Mechanics of deformable solids (74-XX) 1,037 Computer science (68-XX) 949 Fluid mechanics (76-XX) 608 Integral equations (45-XX) 562 Quantum theory (81-XX) 556 Integral transforms, operational calculus (44-XX) 525 Systems theory; control (93-XX) 519 Linear and multilinear algebra; matrix theory (15-XX) 488 Harmonic analysis on Euclidean spaces (42-XX) 478 Probability theory and stochastic processes (60-XX) 465 Geophysics (86-XX) 308 Classical thermodynamics, heat transfer (80-XX) 302 Global analysis, analysis on manifolds (58-XX) 265 Approximations and expansions (41-XX) 254 Differential geometry (53-XX) 243 Functional analysis (46-XX) 221 Real functions (26-XX) 221 Statistical mechanics, structure of matter (82-XX) 220 Special functions (33-XX) 179 Difference and functional equations (39-XX) 166 Potential theory (31-XX) 159 Functions of a complex variable (30-XX) 159 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 156 Mechanics of particles and systems (70-XX) 88 Combinatorics (05-XX) 74 Nonassociative rings and algebras (17-XX) 70 Algebraic geometry (14-XX) 63 Algebraic topology (55-XX) 60 Convex and discrete geometry (52-XX) 53 General topology (54-XX) 51 Astronomy and astrophysics (85-XX) 50 Relativity and gravitational theory (83-XX) 47 Abstract harmonic analysis (43-XX) 39 General and overarching topics; collections (00-XX) 35 Measure and integration (28-XX) 26 Topological groups, Lie groups (22-XX) 24 Number theory (11-XX) 24 Several complex variables and analytic spaces (32-XX) 21 History and biography (01-XX) 20 Associative rings and algebras (16-XX) 20 Manifolds and cell complexes (57-XX) 14 Geometry (51-XX) 10 Commutative algebra (13-XX) 8 Sequences, series, summability (40-XX) 8 Mathematics education (97-XX) 7 Group theory and generalizations (20-XX) 5 Field theory and polynomials (12-XX) 4 Category theory; homological algebra (18-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 1 Mathematical logic and foundations (03-XX) Citations by Year