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. all top 5 Latest Issues 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) 31, No. 8 (2015) 31, No. 7 (2015) 31, No. 6 (2015) 31, No. 5 (2015) 31, No. 4 (2015) 31, No. 3 (2015) 31, No. 2 (2015) 31, No. 1 (2015) 30, No. 12 (2014) 30, No. 11 (2014) 30, No. 10 (2014) 30, No. 9 (2014) 30, No. 8 (2014) 30, No. 7 (2014) 30, No. 6 (2014) 30, No. 5 (2014) 30, No. 4 (2014) 30, No. 3 (2014) ...and 187 more Volumes all top 5 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 all top 5 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 all cited Publications top 5 cited Publications 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 1051.65067Byrne, Charles 602 2004 Iterative oblique projection onto convex sets and the split feasibility problem. Zbl 0996.65048Byrne, Charles 490 2002 The multiple-sets split feasibility problem and its applications for inverse problems. Zbl 1089.65046Censor, Yair; Elfving, Tommy; Kopf, Nirit; Bortfeld, Thomas 344 2005 A variable Krasnosel’skiĭ–Mann algorithm and the multiple-set split feasibility problem. Zbl 1126.47057Xu, Hong-Kun 278 2006 Optical tomography in medical imaging. Zbl 0926.35155Arridge, S. R. 250 1999 The relaxed CQ algorithm solving the split feasibility problem. Zbl 1066.65047Yang, Qingzhi 239 2004 Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces. Zbl 1213.65085Xu, Hong-Kun 225 2010 Inverse scattering transform for the Camassa–Holm equation. Zbl 1105.37044Constantin, Adrian; Gerdjikov, Vladimir S.; Ivanov, Rossen I. 209 2006 Analysis of bounded variation penalty methods for ill-posed problems. Zbl 0809.35151Acar, R.; Vogel, C. R. 186 1994 Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems. Zbl 0695.65037Engl, Heinz W.; Kunisch, Karl; Neubauer, Andreas 181 1989 A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133Colton, David; Kirsch, Andreas 175 1996 A note on the \(CQ\) algorithm for the split feasibility problem. Zbl 1080.65033Qu, Biao; Xiu, Naihua 172 2005 The split common fixed-point problem for demicontractive mappings. Zbl 1219.90185Moudafi, A. 160 2010 Solving the split feasibility problem without prior knowledge of matrix norms. Zbl 1262.90193López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun 146 2012 Inverse problems and Carleman estimates. Zbl 0755.35151Klibanov, Michael V. 141 1992 Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation. Zbl 1181.35322Cheng, Jin; Nakagawa, Junichi; Yamamoto, Masahiro; Yamazaki, Tomohiro 135 2009 Multi-peakon solutions of the Degasperis-Procesi equation. Zbl 1041.35090Lundmark, Hans; Szmigielski, Jacek 133 2003 Electrical impedance tomography and Calderón’s problem. Zbl 1181.35339Uhlmann, G. 130 2009 A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators. Zbl 1131.65046Hofmann, B.; Kaltenbacher, B.; Pöschl, C.; Scherzer, O. 127 2007 A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems. Zbl 0873.65057Hanke, Martin 127 1997 The stability for the Cauchy problem for elliptic equations. Zbl 1190.35228Alessandrini, Giovanni; Rondi, Luca; Rosset, Edi; Vessella, Sergio 123 2009 Multi-peakons and a theorem of Stieltjes. Zbl 0923.35154Beals, R.; Sattinger, D. H.; Szmigielski, J. 122 1999 Electrical impedance tomography. Zbl 1031.35147Borcea, Liliana 121 2002 Geometry of linear ill-posed problems in variable Hilbert spaces. Zbl 1026.65040Mathé, Peter; Pereverzev, Sergei V. 121 2003 Characterization of the shape of a scattering obstacle using the spectral data of the far field operator. Zbl 0919.35147Kirsch, Andreas 120 1998 Carleman estimates for parabolic equations and applications. Zbl 1194.35512Yamamoto, Masahiro 110 2009 A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027Jin, Bangti; Rundell, William 106 2015 Several solution methods for the split feasibility problem. Zbl 1080.65035Zhao, Jinling; Yang, Qingzhi 101 2005 Lipschitz stability in inverse parabolic problems by the Carleman estimate. Zbl 0992.35110Imanuvilov, Oleg Yu; Yamamoto, Masahiro 100 1998 Inverse problems in elasticity. Zbl 1070.35118Bonnet, Marc; Constantinescu, Andrei 99 2005 A survey of matrix inverse eigenvalue problems. Zbl 0633.65036Boley, Daniel; Golub, Gene H. 97 1987 Convergence rates of convex variational regularization. Zbl 1068.65085Burger, Martin; Osher, Stanley 97 2004 Sparsity and incoherence in compressive sampling. Zbl 1120.94005Candès, Emmanuel; Romberg, Justin 96 2007 Structural identification of an unknown source term in a heat equation. Zbl 0917.35156Cannon, J. R.; DuChateau, Paul 89 1998 Exponential instability in an inverse problem for the Schrödinger equation. Zbl 0985.35110Mandache, Niculae 89 2001 Tensor completion and low-\(n\)-rank tensor recovery via convex optimization. Zbl 1211.15036Gandy, Silvia; Recht, Benjamin; Yamada, Isao 88 2011 Restricted isometry properties and nonconvex compressive sensing. Zbl 1143.94004Chartrand, Rick; Staneva, Valentina 88 2008 Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction. Zbl 0916.35132Cedio-Fengya, D. J.; Moskow, S.; Vogelius, M. S. 83 1998 Inverse source problem for a fractional diffusion equation. Zbl 1211.35280Zhang, Ying; Xu, Xiang 83 2011 Global Lipschitz stability in an inverse hyperbolic problem by interior observations. Zbl 0983.35151Imanuvilov, Oleg Yu.; Yamamoto, Masahiro 82 2001 The strong convergence of a KM-CQ-like algorithm for a split feasibility problem. Zbl 1211.65065Dang, Yazheng; Gao, Yan 81 2011 Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014Golub, Gene; Pereyra, Victor 81 2003 Prolate spheroidal wavefunctions, quadrature and interpolation. Zbl 0991.65024Xiao, H.; Rokhlin, V.; Yarvin, N. 80 2001 Thermoacoustic tomography with variable sound speed. Zbl 1177.35256Stefanov, Plamen; Uhlmann, Gunther 80 2009 Analysis versus synthesis in signal priors. Zbl 1138.93055Elad, Michael; Milanfar, Peyman; Rubinstein, Ron 79 2007 The domain derivative and two applications in inverse scattering theory. Zbl 0773.35085Kirsch, A. 79 1993 Krasnoselski–Mann iteration for hierarchical fixed-point problems. Zbl 1128.47060Moudafi, Abdellatif 78 2007 Proximity algorithms for image models: denoising. Zbl 1216.94015Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng 75 2011 Boundary control in reconstruction of manifolds and metrics (the BC method). Zbl 0990.35135Belishev, M. I. 74 1997 A survey on sampling and probe methods for inverse problems. Zbl 1094.35144Potthast, Roland 74 2006 An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203Jin, Bangti; Rundell, William 73 2012 Solutions of inverse nodal problems. Zbl 0667.34020Hald, Ole H.; McLaughlin, Joyce R. 72 1989 Uniqueness and stability in an inverse problem for the Schrödinger equation. Zbl 1023.35091Baudouin, Lucie; Puel, Jean-Pierre 72 2002 Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512Strong, David; Chan, Tony 72 2003 Level set methods for inverse scattering. Zbl 1191.35272Dorn, 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 0683.65106Wang, Shingmin; Lin, Yanping 69 1989 Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method. Zbl 0822.35154Yamamoto, Masahiro 69 1995 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. 68 1986 An inverse problem in corrosion detection. Zbl 0882.35133Inglese, Gabriele 68 1997 Simultaneous reconstruction of the initial temperature and heat radiative coefficient. Zbl 0987.35166Yamamoto, Masahiro; Zou, Jun 66 2001 One new strategy for a priori choice of regularizing parameters in Tikhonov’s regularization. Zbl 0957.65052Cheng, J.; Yamamoto, M. 65 2000 Level-set function approach to an inverse interface problem. Zbl 0986.35130Ito, Kazufumi; Kunisch, Karl; Li, Zhilin 65 2001 Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography. Zbl 1044.78513Kaipio, 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 0895.35109Hohage, Thorsten 65 1997 A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123Colton, David; Piana, Michele; Potthast, Roland 65 1997 Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139Kress, Rainer; Rundell, William 65 2005 Solving Cauchy problems by minimizing an energy-like functional. Zbl 1089.35084Andrieux, S.; Baranger, T. N.; Ben Abda, A. 65 2006 Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets. Zbl 0938.35190Bouchouev, Ilia; Isakov, Victor 64 1999 Ensemble Kalman methods for inverse problems. Zbl 1311.65064Iglesias, 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 1205.65194Egger, Herbert; Engl, Heinz W. 64 2005 Recent progress in the boundary control method. Zbl 1126.35089Belishev, M. I. 63 2007 Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation. Zbl 1281.65125Li, Gongsheng; Zhang, Dali; Jia, Xianzheng; Yamamoto, Masahiro 63 2013 Optical tomography: forward and inverse problems. Zbl 1188.35197Arridge, Simon R.; Schotland, John C. 63 2009 Linear spectral problems, nonlinear equations and the \({\bar \partial}\)- method. Zbl 0685.35080Beals, Richard; Coifman, R. R. 62 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 62 1994 Nonparametric statistical inverse problems. Zbl 1137.62323Cavalier, L. 62 2008 Generalized KM theorems and their applications. Zbl 1117.65081Yang, Qingzhi; Zhao, Jinling 62 2006 A scaled gradient projection method for constrained image deblurring. Zbl 1155.94011Bonettini, S.; Zanella, R.; Zanni, L. 62 2009 Inverse spectral problems for Sturm-Liouville operators on graphs. Zbl 1089.34009Yurko, V. 62 2005 Explicit inversion formulae for the spherical mean Radon transform. Zbl 1127.44003Kunyansky, Leonid A. 62 2007 Inverse nodal problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions. Zbl 0860.34007Browne, Patrick J.; Sleeman, B. D. 61 1996 Nonlinear evolution equations, rescalings, model PDEs and their integrability. I. Zbl 0645.35087Calogero, Francesco; Eckhaus, Wiktor 60 1987 An inverse source problem in potential analysis. Zbl 0963.35194El Badia, A.; Ha-Duong, T. 60 2000 Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media. Zbl 1180.35563Hristova, Yulia; Kuchment, Peter; Nguyen, Linh 58 2008 An iterative regularization method for the solution of the split feasibility problem in Banach spaces. Zbl 1153.46308Schöpfer, F.; Schuster, T.; Louis, A. K. 58 2008 Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I. 58 2008 Inverse scattering problems with multi-frequencies. Zbl 1332.78019Bao, 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 0962.35193Siltanen, Samuli; Mueller, Jennifer; Isaacson, David 57 2000 Fréchet differentiability of boundary integral operators in inverse acoustic scattering. Zbl 0805.35157Potthast, Roland 57 1994 Multisoliton solutions of the Degasperis-Procesi equation and their peakon limit. Zbl 1086.35095Matsuno, Yoshimasa 57 2005 Numerical identification of parameters in parabolic systems. Zbl 0894.35127Keung, Yee Lo; Zou, Jun 56 1998 Identification of Robin coefficients by the means of boundary measurements. Zbl 0943.35100Chaabane, Slim; Jaoua, Mohamed 56 1999 MAP estimators and their consistency in Bayesian nonparametric inverse problems. Zbl 1281.62089Dashti, M.; Law, K. J. H.; Stuart, A. M.; Voss, J. 56 2013 On the method of Lavrentiev regularization for nonlinear ill-posed problems. Zbl 1005.65058Tautenhahn, U. 56 2002 Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024Colton, David; Monk, Peter; Sun, Jiguang 55 2010 On a global estimate in a linear inverse hyperbolic problem. Zbl 0862.35141Puel, Jean-Pierre; Yamamoto, Masahiro 55 1996 Fréchet derivatives in inverse obstacle scattering. Zbl 0821.35147Hettlich, Frank 54 1995 Uniqueness in inverse obstacle scattering. Zbl 0787.35119Kirsch, Andreas; Kress, Rainer 54 1993 The MUSIC algorithm and the factorization method in inverse scattering theory for inhomogeneous media. Zbl 1027.35158Kirsch, Andreas 54 2002 Prolongation algebras and Hamiltonian operators for peakon equations. Zbl 1020.35096Hone, Andrew N. W.; Wang, Jing Ping 54 2003 Recovery of coefficients for a weighted \(p\)-Laplacian perturbed by a linear second order term. Zbl 1460.35386Cârstea, Cătălin I.; Kar, Manas 4 2021 On Calderón’s inverse inclusion problem with smooth shapes by a single partial boundary measurement. Zbl 1467.35355Liu, Hongyu; Tsou, Chun-Hsiang; Yang, Wei 4 2021 Recovering a quasilinear conductivity from boundary measurements. Zbl 1457.65172Shankar, Ravi 3 2021 A projected Bouligand-Landweber iteration for non-smooth ill-posed problems. Zbl 07323231Fu, 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 1456.35192Diao, Huaian; Liu, Hongyu; Zhang, Long; Zou, Jun 3 2021 Some inverse problems for wave equations with fractional derivative attenuation. Zbl 1459.35396Kaltenbacher, Barbara; Rundell, William 3 2021 Monotonicity principle in tomography of nonlinear conducting materials. Zbl 1462.78012Corbo 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 1479.35286Diao, Huaian; Liu, Hongyu; Sun, Baiyi 3 2021 Laboratory application of sampling approaches to inverse scattering. Zbl 1466.62451Pourahmadian, Fatemeh; Yue, Hao 2 2021 Adaptive regularisation for ensemble Kalman inversion. Zbl 1456.65095Iglesias, Marco; Yang, Yuchen 2 2021 Shape reconstruction in linear elasticity: standard and linearized monotonicity method. Zbl 1461.74022Eberle, Sarah; Harrach, Bastian 2 2021 Reconstruction of multipolar point sources with multi-frequency sparse far field data. Zbl 1466.35367Ji, Xia 2 2021 A deterministic-statistical approach to reconstruct moving sources using sparse partial data. Zbl 1466.35369Liu, Yanfang; Guo, Yukun; Sun, Jiguang 2 2021 Stabilizing invertible neural networks using mixture models. Zbl 07375643Hagemann, Paul; Neumayer, Sebastian 2 2021 Oversmoothing Tikhonov regularization in Banach spaces. Zbl 1483.65086Chen, De-Han; Hofmann, Bernd; Yousept, Irwin 2 2021 Projection methods for high numerical aperture phase retrieval. Zbl 1480.65142Hieu Thao, Nguyen; Soloviev, Oleg; Luke, Russell; Verhaegen, Michel 1 2021 Phaseless inverse scattering with background information. Zbl 1473.35140Novikov, R. G.; Sivkin, V. N. 1 2021 Stability estimates for the relativistic Schrödinger equation from partial boundary data. Zbl 1483.35344Senapati, Soumen 1 2021 A direct method for solving inverse Sturm-Liouville problems. Zbl 07305940Kravchenko, Vladislav V.; Torba, Sergii M. 1 2021 Unique determination for an inverse problem from the vortex dynamics. Zbl 1462.34041Lai, Ru-Yu; Zhou, Hanming 1 2021 The interior inverse electromagnetic scattering for an inhomogeneous cavity. Zbl 1457.78012Zeng, Fang; Meng, Shixu 1 2021 Non-stationary multi-layered Gaussian priors for Bayesian inversion. Zbl 1457.60097Emzir, Muhammad; Lasanen, Sari; Purisha, Zenith; Roininen, Lassi; Särkkä, Simo 1 2021 Ultrasound modulated bioluminescence tomography with a single optical measurement. Zbl 1458.35420Chung, Francis; Yang, Tianyu; Yang, Yang 1 2021 Deep synthesis network for regularizing inverse problems. Zbl 07310609Obmann, Daniel; Schwab, Johannes; Haltmeier, Markus 1 2021 An inverse potential problem for subdiffusion: stability and reconstruction. Zbl 1458.35477Jin, Bangti; Zhou, Zhi 1 2021 Tikhonov regularization for polynomial approximation problems in Gauss quadrature points. Zbl 1461.65010An, Congpei; Wu, Hao-Ning 1 2021 The maximum entropy on the mean method for image deblurring. Zbl 07310613Rioux, Gabriel; Choksi, Rustum; Hoheisel, Tim; Maréchal, Pierre; Scarvelis, Christopher 1 2021 Inverse initial boundary value problem for a non-linear hyperbolic partial differential equation. Zbl 1457.58016Nakamura, Gen; Vashisth, Manmohan; Watanabe, Michiyuki 1 2021 Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: a review. Zbl 1461.62129Alexanderian, Alen 1 2021 Sparsity-based nonlinear reconstruction of optical parameters in two-photon photoacoustic computed tomography. Zbl 1460.78011Gupta, Madhu; Kumar Mishra, Rohit; Roy, Souvik 1 2021 Numerical solution of an inverse random source problem for the time fractional diffusion equation via PhaseLift. Zbl 1475.35432Gong, Yuxuan; Li, Peijun; Wang, Xu; Xu, Xiang 1 2021 A range-relaxed criteria for choosing the Lagrange multipliers in the iterated Tikhonov Kaczmarz method for solving systems of linear ill-posed equations. Zbl 07323241Filippozzi, R.; Rabelo, J. C.; Boiger, R.; Leitão, A. 1 2021 Regularisation, optimisation, subregularity. Zbl 07335387Valkonen, T. 1 2021 Simultaneous inversion of the potential term and the fractional orders in a multi-term time-fractional diffusion equation. Zbl 1462.35469Sun, L. L.; Li, Y. S.; Zhang, Y. 1 2021 Reconstruction of sources from time domain scattered waves at sparse sensors. Zbl 1467.35351Ji, Xia 1 2021 Optimal-order convergence of Nesterov acceleration for linear ill-posed problems. Zbl 07357681Kindermann, Stefan 1 2021 A new interpretation of (Tikhonov) regularization. Zbl 07357684Gerth, Daniel 1 2021 3D Compton scattering imaging with multiple scattering: analysis by FIO and contour reconstruction. Zbl 1466.35372Rigaud, Gaël 1 2021 Lippmann-Schwinger-Lanczos algorithm for inverse scattering problems. Zbl 07362502Druskin, V.; Moskow, S.; Zaslavsky, M. 1 2021 Structure analysis of direct sampling method in 3D electromagnetic inverse problem: near- and far-field configuration. Zbl 07362505Kang, Sangwoo; Lambert, Marc 1 2021 Unique recovery of unknown spatial load in damped Euler-Bernoulli beam equation from final time measured output. Zbl 1467.74036Hasanov, Alemdar; Romanov, Vladimir; Baysal, Onur 1 2021 A projective two-point gradient Kaczmarz iteration for nonlinear ill-posed problems. Zbl 07362507Gao, Guangyu; Han, Bo; Tong, Shanshan 1 2021 Inverse problems for nonlinear quasi-hemivariational inequalities with application to mixed boundary value problems. Zbl 1433.35462Migórski, Stanisław; Khan, Akhtar A.; Zeng, Shengda 17 2020 NETT: solving inverse problems with deep neural networks. Zbl 1456.65038Li, Housen; Schwab, Johannes; Antholzer, Stephan; Haltmeier, Markus 16 2020 Recovering piecewise constant refractive indices by a single far-field pattern. Zbl 1446.35262Blåsten, Emilia; Liu, Hongyu 13 2020 The sliding Frank-Wolfe algorithm and its application to super-resolution microscopy. Zbl 1434.65082Denoyelle, Quentin; Duval, Vincent; Peyré, Gabriel; Soubies, Emmanuel 11 2020 Convexification and experimental data for a 3D inverse scattering problem with the moving point source. Zbl 1446.35265Khoa, 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 1445.35334Liu, Hongyu; Tsou, Chun-Hsiang 8 2020 Convergence analysis of (statistical) inverse problems under conditional stability estimates. Zbl 07153871Werner, Frank; Hofmann, Bernd 7 2020 Uniqueness in inverse cavity scattering problems with phaseless near-field data. Zbl 1460.35246Zhang, Deyue; Wang, Yinglin; Guo, Yukun; Li, Jingzhi 7 2020 The inverse problem of reconstructing reaction-diffusion systems. Zbl 1444.65055Kaltenbacher, Barbara; Rundell, William 7 2020 Fast acoustic source imaging using multi-frequency sparse data. Zbl 1448.35566Alzaalig, Ala; Hu, Guanghui; Liu, Xiaodong; Sun, Jiguang 6 2020 Half-inverse Sturm-Liouville problem on a time scale. Zbl 1433.93084Ozkan, A. Sinan; Adalar, İbrahim 6 2020 An inverse acoustic-elastic interaction problem with phased or phaseless far-field data. Zbl 1437.35702Dong, Heping; Lai, Jun; Li, Peijun 6 2020 Convergence rates of Tikhonov regularizations for elliptic and parabolic inverse radiativity problems. Zbl 07220290Chen, De-Han; Jiang, Daijun; Zou, Jun 6 2020 Stability for inverse source problems by Carleman estimates. Zbl 1459.35393Huang, X.; Yu Imanuvilov, Oleg; Yamamoto, M. 6 2020 Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors. Zbl 1464.62365Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki; Strang, Alexander 5 2020 Unique reconstruction of the potential for the interior transmission eigenvalue problem for spherically stratified media. Zbl 1436.35328Wei, Zhaoying; Wei, Guangsheng 5 2020 The Calderón problem for the fractional magnetic operator. Zbl 1443.35194Li, Li 5 2020 Optimal experimental design under irreducible uncertainty for linear inverse problems governed by PDEs. Zbl 1443.62213Koval, Karina; Alexanderian, Alen; Stadler, Georg 5 2020 Numerical schemes to reconstruct three-dimensional time-dependent point sources of acoustic waves. Zbl 1471.65122Chen, Bo; Guo, Yukun; Ma, Fuming; Sun, Yao 5 2020 Consistency of Bayesian inference with Gaussian process priors in an elliptic inverse problem. Zbl 1445.35330Giordano, Matteo; Nickl, Richard 5 2020 On a regularization approach to the inverse transmission eigenvalue problem. Zbl 1454.34036Buterin, 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 1468.94021Li, Peng; Chen, Wengu; Ge, Huanmin; Ng, Michael K. 5 2020 Preconditioning inverse problems for hyperbolic equations with applications to photoacoustic tomography. Zbl 07153865Beigl, Alexander; Scherzer, Otmar; Sogn, Jarle; Zulehner, Walter 4 2020 A new temporal control approach for SCAO systems. Zbl 1440.93131Pöttinger, Markus; Ramlau, Ronny; Auzinger, Günter 4 2020 Compton scattering tomography in translational geometries. Zbl 1466.44002Webber, James; Miller, Eric L. 4 2020 Persistent homology detects curvature. Zbl 07161824Bubenik, Peter; Hull, Michael; Patel, Dhruv; Whittle, Benjamin 4 2020 Inverse transport problem in fluorescence ultrasound modulated optical tomography with angularly averaged measurements. Zbl 1466.35370Li, Wei; Yang, Yang; Zhong, Yimin 4 2020 Recovery of singularities for the weighted cone transform appearing in Compton camera imaging. Zbl 1442.44003Zhang, Yang 4 2020 Analysis of shape optimization problems for unsteady fluid-structure interaction. Zbl 1440.49044Haubner, Johannes; Ulbrich, Michael; Ulbrich, Stefan 4 2020 Deep unfolding of a proximal interior point method for image restoration. Zbl 1452.94003Bertocchi, 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 1451.65072Buccini, A.; Pasha, M.; Reichel, L. 4 2020 On the inverse spectral stability for the transmission eigenvalue problem with finite data. Zbl 1470.34054Xu, Xiao-Chuan; Yang, Chuan-Fu 4 2020 Monotonicity in inverse obstacle scattering on unbounded domains. Zbl 1458.35469Albicker, Annalena; Griesmaier, Roland 4 2020 Geometry of the phase retrieval problem. Zbl 1451.49037Barnett, 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 1473.35500Covi, Giovanni 4 2020 The quadratic Wasserstein metric for inverse data matching. Zbl 1465.49029Engquist, Björn; Ren, Kui; Yang, Yunan 4 2020 A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium. Zbl 1433.78016Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru 3 2020 Image reconstruction through metamorphosis. Zbl 1447.94005Gris, Barbara; Chen, Chong; Öktem, Ozan 3 2020 Determining both the source of a wave and its speed in a medium from boundary measurements. Zbl 1458.35480Knox, Christina; Moradifam, Amir 3 2020 A Nash game based variational model for joint image intensity correction and registration to deal with varying illumination. Zbl 1452.94009Theljani, Anis; Chen, Ke 3 2020 The fixed angle scattering problem and wave equation inverse problems with two measurements. Zbl 1439.35569Rakesh; Salo, Mikko 3 2020 Applications of kinetic tools to inverse transport problems. Zbl 1452.65211Li, Qin; Sun, Weiran 3 2020 The bound-state soliton solutions of the complex modified KdV equation. Zbl 1447.35290Zhang, Yongshuai; Tao, Xiangxing; Xu, Shuwei 3 2020 Bayesian approach to inverse time-harmonic acoustic scattering with phaseless far-field data. Zbl 1443.76205Yang, Zhipeng; Gui, Xinping; Ming, Ju; Hu, Guanghui 3 2020 Mathematical modeling for 2D light-sheet fluorescence microscopy image reconstruction. Zbl 1444.65062Cueva, 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 1442.86003de 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 1445.49018Fu, Zhenwu; Jin, Qinian; Zhang, Zhengqiang; Han, Bo; Chen, Yong 3 2020 Convexification for an inverse parabolic problem. Zbl 1445.35333Klibanov, Michael V.; Li, Jingzhi; Zhang, Wenlong 3 2020 Numerical solution of inverse problems by weak adversarial networks. Zbl 1452.65308Bao, Gang; Ye, Xiaojing; Zang, Yaohua; Zhou, Haomin 3 2020 Hölder-logarithmic stability in Fourier synthesis. Zbl 1453.42008Isaev, Mikhail; Novikov, Roman G. 3 2020 Deep neural network expression of posterior expectations in Bayesian PDE inversion. Zbl 1453.35191Herrmann, Lukas; Schwab, Christoph; Zech, Jakob 3 2020 Geometric numerical integration of the assignment flow. Zbl 07371339Zeilmann, Alexander; Savarino, Fabrizio; Petra, Stefania; Schnörr, Christoph 3 2020 An inverse random source problem in a stochastic fractional diffusion equation. Zbl 1469.35259Niu, 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 1469.35251Feng, Xiaoli; Li, Peijun; Wang, Xu 3 2020 An image sharpening operator combined with framelet for image deblurring. Zbl 1468.94022Liu, Jingjing; Lou, Yifei; Ni, Guoxi; Zeng, Tieyong 3 2020 Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography. Zbl 07371382Antil, Harbir; Di, Zichao Wendy; Khatri, Ratna 3 2020 Quasi-best approximation in optimization with PDE constraints. Zbl 1457.49022Gaspoz, 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 1457.35094Romanov, Vladimir; Hasanov, Alemdar 2 2020 ...and 1473 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 14,800 Authors 135 Yamamoto, Masahiro 81 Uhlmann, Gunther Alberto 78 Fu, Chuli 77 Klibanov, Michael V. 76 Nguyen Huy Tuan 74 Ammari, Habib M. 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 27 Đinh Nho Hào ...and 14,700 more Authors all top 5 Cited in 769 Journals 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 303 Journal of Computational Physics 232 Computers & Mathematics with Applications 211 SIAM Journal on Imaging Sciences 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 135 Theoretical and Mathematical Physics 130 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 128 Journal of Scientific Computing 126 Numerical Functional Analysis and Optimization 125 Journal of Inequalities and Applications 124 SIAM Journal on Mathematical Analysis 123 Applied Numerical Mathematics 123 Linear Algebra and its Applications 120 SIAM Journal on Applied Mathematics 118 Abstract and Applied Analysis 114 Fixed Point Theory and Applications 110 Wave Motion 109 Mathematical Problems in Engineering 105 Journal of Mathematical Imaging and Vision 104 Applied Mathematical Modelling 102 Optimization 99 Journal of Optimization Theory and Applications 97 Communications in Mathematical Physics 97 Engineering Analysis with Boundary Elements 89 Numerische Mathematik 88 Communications in Partial Differential Equations 85 International Journal of Computer Mathematics 80 Computational Optimization and Applications 73 Journal of Functional Analysis 71 Physica D 68 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 67 Computational and Applied Mathematics 67 Boundary Value Problems 64 Advances in Computational Mathematics 64 SIAM/ASA Journal on Uncertainty Quantification 63 Journal of Integral Equations and Applications 62 Chaos, Solitons and Fractals 62 Communications in Nonlinear Science and Numerical Simulation 62 Computational Geosciences 61 Mathematics of Computation 60 Mathematics and Computers in Simulation 58 SIAM Journal on Numerical Analysis 58 Journal of Mathematical Sciences (New York) 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 53 Analysis and Mathematical Physics 49 Journal of Geometry and Physics 48 Proceedings of the American Mathematical Society 48 Results in Mathematics 48 Transactions of the American Mathematical Society 48 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 47 The Annals of Statistics 46 Acta Applicandae Mathematicae 46 Advances in Difference Equations 45 Letters in Mathematical Physics 45 BIT 45 Mathematical and Computer Modelling 45 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 44 Journal of Nonlinear Science and Applications 43 Archive for Rational Mechanics and Analysis 42 Advances in Mathematical Physics 41 Applied Mathematics and Optimization 41 SIAM Journal on Optimization 40 Integral Equations and Operator Theory 40 Acta Mathematicae Applicatae Sinica. English Series 39 Discrete and Continuous Dynamical Systems 39 Differential Equations 39 Electronic Journal of Statistics 37 Mathematical Notes 37 Advances in Mathematics 37 Foundations of Computational Mathematics 36 International Journal for Numerical Methods in Engineering 36 Quarterly of Applied Mathematics 34 The Journal of Geometric Analysis 33 Computational Mechanics 33 GEM - International Journal on Geomathematics 32 Reports on Mathematical Physics 32 SIAM Journal on Control and Optimization 32 Mathematical Programming. Series A. Series B 32 Journal of Fixed Point Theory and Applications ...and 669 more Journals all top 5 Cited in 61 Fields 6,830 Partial differential equations (35-XX) 5,911 Numerical analysis (65-XX) 2,020 Operator theory (47-XX) 1,343 Calculus of variations and optimal control; optimization (49-XX) 1,287 Dynamical systems and ergodic theory (37-XX) 1,266 Optics, electromagnetic theory (78-XX) 1,174 Information and communication theory, circuits (94-XX) 1,140 Operations research, mathematical programming (90-XX) 1,123 Ordinary differential equations (34-XX) 981 Statistics (62-XX) 967 Biology and other natural sciences (92-XX) 953 Mechanics of deformable solids (74-XX) 817 Fluid mechanics (76-XX) 803 Computer science (68-XX) 538 Integral equations (45-XX) 514 Quantum theory (81-XX) 479 Integral transforms, operational calculus (44-XX) 449 Systems theory; control (93-XX) 436 Linear and multilinear algebra; matrix theory (15-XX) 420 Geophysics (86-XX) 417 Harmonic analysis on Euclidean spaces (42-XX) 397 Probability theory and stochastic processes (60-XX) 280 Classical thermodynamics, heat transfer (80-XX) 278 Global analysis, analysis on manifolds (58-XX) 225 Differential geometry (53-XX) 211 Approximations and expansions (41-XX) 210 Functional analysis (46-XX) 195 Statistical mechanics, structure of matter (82-XX) 182 Special functions (33-XX) 145 Real functions (26-XX) 144 Difference and functional equations (39-XX) 141 Mechanics of particles and systems (70-XX) 140 Potential theory (31-XX) 139 Functions of a complex variable (30-XX) 129 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 69 Combinatorics (05-XX) 66 Nonassociative rings and algebras (17-XX) 65 Algebraic geometry (14-XX) 50 General topology (54-XX) 47 Convex and discrete geometry (52-XX) 45 Algebraic topology (55-XX) 45 Astronomy and astrophysics (85-XX) 43 Relativity and gravitational theory (83-XX) 42 Abstract harmonic analysis (43-XX) 31 General and overarching topics; collections (00-XX) 28 Measure and integration (28-XX) 24 Topological groups, Lie groups (22-XX) 21 Several complex variables and analytic spaces (32-XX) 20 Number theory (11-XX) 19 Associative rings and algebras (16-XX) 19 Manifolds and cell complexes (57-XX) 15 History and biography (01-XX) 11 Geometry (51-XX) 9 Commutative algebra (13-XX) 8 Mathematics education (97-XX) 6 Group theory and generalizations (20-XX) 6 Sequences, series, summability (40-XX) 5 Field theory and polynomials (12-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Category theory; homological algebra (18-XX) 1 Mathematical logic and foundations (03-XX) Citations by Year