# zbMATH — the first resource for mathematics

## Inverse Problems and Imaging

 Short Title: Inverse Probl. Imaging Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO ISSN: 1930-8337; 1930-8345/e Online: http://aimsciences.org/journal/1930-8337 Comments: Indexed cover-to-cover
 Documents Indexed: 737 Publications (since 2007) References Indexed: 400 Publications with 13,580 References.
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#### Latest Issues

 15, No. 5 (2021) 15, No. 4 (2021) 15, No. 3 (2021) 15, No. 2 (2021) 15, No. 1 (2021) 14, No. 6 (2020) 14, No. 5 (2020) 14, No. 4 (2020) 14, No. 3 (2020) 14, No. 2 (2020) 14, No. 1 (2020) 13, No. 6 (2019) 13, No. 5 (2019) 13, No. 4 (2019) 13, No. 3 (2019) 13, No. 2 (2019) 13, No. 1 (2019) 12, No. 6 (2018) 12, No. 5 (2018) 12, No. 4 (2018) 12, No. 3 (2018) 12, No. 2 (2018) 12, No. 1 (2018) 11, No. 6 (2017) 11, No. 5 (2017) 11, No. 4 (2017) 11, No. 3 (2017) 11, No. 2 (2017) 11, No. 1 (2017) 10, No. 4 (2016) 10, No. 3 (2016) 10, No. 2 (2016) 10, No. 1 (2016) 9, No. 4 (2015) 9, No. 3 (2015) 9, No. 2 (2015) 9, No. 1 (2015) 8, No. 4 (2014) 8, No. 3 (2014) 8, No. 2 (2014) 8, No. 1 (2014) 7, No. 4 (2013) 7, No. 3 (2013) 7, No. 2 (2013) 7, No. 1 (2013) 6, No. 4 (2012) 6, No. 3 (2012) 6, No. 2 (2012) 6, No. 1 (2012) 5, No. 4 (2011) 5, No. 3 (2011) 5, No. 2 (2011) 5, No. 1 (2011) 4, No. 4 (2010) 4, No. 3 (2010) 4, No. 2 (2010) 4, No. 1 (2010) 3, No. 4 (2009) 3, No. 3 (2009) 3, No. 2 (2009) 3, No. 1 (2009) 2, No. 4 (2008) 2, No. 3 (2008) 2, No. 2 (2008) 2, No. 1 (2008) 1, No. 4 (2007) 1, No. 3 (2007) 1, No. 2 (2007) 1, No. 1 (2007)
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#### Authors

 14 Siltanen, Samuli 13 Osher, Stanley Joel 11 Bal, Guillaume 11 Tai, Xuecheng 10 Cakoni, Fioralba 9 Kaipio, Jari P. 9 Scherzer, Otmar 8 Chan, Raymond Hon-Fu 8 Chen, Yunmei 8 Haddar, Houssem 8 Kaltenbacher, Barbara 8 Lassas, Matti J. 8 Stefanov, Plamen D. 8 Uhlmann, Gunther Alberto 7 Bourgeois, Laurent 7 Chan, Tony Fan-Cheong 7 Hu, Guanghui 7 Hyvönen, Nuutti 7 Ikehata, Masaru 7 Isakov, Victor M. 7 Kolehmainen, Ville 7 Ng, Michael Kwok-Po 7 Sini, Mourad 6 Avdonin, Sergeĭ Anatol’evich 6 Dardé, Jérémi 6 Klibanov, Michael V. 6 Lehtinen, Markku S. 6 Li, Peijun 6 Monard, François 6 Vese, Luminita A. 5 Cai, Jian-Feng 5 Grasmair, Markus 5 Guo, Weihong 5 Lasanen, Sari 5 Leitão, Antonio 5 Mueller, Jennifer L. 5 Nakamura, Gen 5 Piiroinen, Petteri 5 Quinto, Eric Todd 5 Ramlau, Ronny 5 Roininen, Lassi 5 Rundell, William 5 Salo, Mikko 5 Serov, Valery S. 5 Wang, Jenn-Nan 5 Yamamoto, Masahiro 5 Zhu, Wei 4 Assylbekov, Yernat M. 4 Beretta, Elena 4 Boman, Jan 4 Calvetti, Daniela 4 Chapko, Roman 4 Chen, Ke 4 Garnier, Josselin 4 Hamilton, Sarah Jane 4 Huttunen, Janne M. J. 4 Kian, Yavar 4 Kirsch, Andreas 4 Knudsen, Kim M. 4 Kress, Rainer 4 Krishnan, Venkateswaran P. 4 Kuchment, Peter A. 4 Lechleiter, Armin 4 Li, Jingzhi 4 Li, Song 4 Lin, Yi-Hsuan 4 Liu, Hongyu 4 Lou, Yifei 4 Monk, Peter B. 4 Neubauer, Andreas 4 Nguyen, Loc Hoang 4 Nikolova, Mila 4 Päivärinta, Lassi 4 Piana, Michele 4 Qin, Jing 4 Shen, Zuowei 4 Sincich, Eva 4 Sixou, Bruno 4 Somersalo, Erkki 4 Tyni, Teemu 4 Zeng, Tie Yong 4 Zhang, Xiaoqun 4 Zou, Jun 3 Albani, Vinicius V. L. 3 Alessandrini, Giovanni 3 Arridge, Simon R. 3 Bertozzi, Andrea Louise 3 Borcea, Liliana 3 Bresson, Xavier 3 Bui-Thanh, Tan 3 Burger, Martin 3 Caro, Pedro 3 Colton, David Lem 3 De Cezaro, Adriano 3 Duan, Yuping 3 Elschner, Johannes 3 Gaburro, Romina 3 Gu, Xianfeng 3 Guo, Yukun 3 Harrach, Bastian ...and 1,072 more Authors
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#### Fields

 376 Partial differential equations (35-XX) 338 Numerical analysis (65-XX) 146 Information and communication theory, circuits (94-XX) 116 Optics, electromagnetic theory (78-XX) 110 Computer science (68-XX) 81 Biology and other natural sciences (92-XX) 78 Calculus of variations and optimal control; optimization (49-XX) 58 Statistics (62-XX) 51 Operator theory (47-XX) 50 Integral transforms, operational calculus (44-XX) 43 Mechanics of deformable solids (74-XX) 41 Operations research, mathematical programming (90-XX) 35 Differential geometry (53-XX) 31 Integral equations (45-XX) 27 Geophysics (86-XX) 23 Probability theory and stochastic processes (60-XX) 23 Quantum theory (81-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Potential theory (31-XX) 20 Ordinary differential equations (34-XX) 18 Global analysis, analysis on manifolds (58-XX) 18 Fluid mechanics (76-XX) 15 Functional analysis (46-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 14 Systems theory; control (93-XX) 10 Functions of a complex variable (30-XX) 9 Dynamical systems and ergodic theory (37-XX) 6 Combinatorics (05-XX) 6 Astronomy and astrophysics (85-XX) 5 General and overarching topics; collections (00-XX) 5 Real functions (26-XX) 5 Convex and discrete geometry (52-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Mathematics education (97-XX) 4 Special functions (33-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Difference and functional equations (39-XX) 3 Mechanics of particles and systems (70-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX)

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547 Publications have been cited 3,880 times in 2,609 Documents Cited by Year
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2008
Regularized D-bar method for the inverse conductivity problem. Zbl 1184.35314
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2009
On uniqueness in the inverse conductivity problem with local data. Zbl 1125.35113
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2007
Augmented Lagrangian method for total variation restoration with non-quadratic fidelity. Zbl 1225.80013
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Equilibrium measures and capacities in spectral theory. Zbl 1149.31004
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2007
Identification of sound-soft 3D obstacles from phaseless data. Zbl 1220.35194
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2010
Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography. Zbl 1302.65245
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2014
Discretization-invariant Bayesian inversion and Besov space priors. Zbl 1191.62046
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2009
On the existence of transmission eigenvalues. Zbl 1186.35122
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2009
Shape reconstruction of acoustic obstacles from the modulus of the far field pattern. Zbl 1194.35502
Ivanyshyn, Olha
2007
Inverse problems for quantum trees. Zbl 1148.35356
Avdonin, Sergei; Kurasov, Pavel
2008
A family of inversion formulas in thermoacoustic tomography. Zbl 1183.92054
Nguyen, Linh Viet
2009
Photo-acoustic inversion in convex domains. Zbl 1244.35080
Natterer, Frank
2012
Iteratively solving linear inverse problems under general convex constraints. Zbl 1123.65044
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2007
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111
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2013
Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150
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2007
On the convergence of the quasioptimality criterion for (iterated) Tikhonov regularization. Zbl 1165.47009
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2008
Energy conserving local discontinuous Galerkin methods for wave propagation problems. Zbl 1273.65181
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2013
Simultaneous cartoon and texture inpainting. Zbl 1198.94021
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2010
Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis. Zbl 1123.65051
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2007
Parallel matrix factorization for low-rank tensor completion. Zbl 1359.15021
Xu, Yangyang; Hao, Ruru; Yin, Wotao; Su, Zhixun
2015
Two-phase approach for deblurring images corrupted by impulse plus Gaussian noise. Zbl 1154.94306
Cai, Jian-Feng; Chan, Raymond H.; Nikolova, Mila
2008
Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map. Zbl 1250.58012
Bellassoued, Mourad; Dos Santos Ferreira, David
2011
Inverse diffusion from knowledge of power densities. Zbl 1267.35249
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2013
Besov priors for Bayesian inverse problems. Zbl 1243.62032
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2012
A phaseless inverse scattering problem for the 3-D Helmholtz equation. Zbl 1359.35227
Klibanov, Michael V.
2017
A direct sampling method for inverse scattering using far-field data. Zbl 1273.35319
Li, Jingzhi; Zou, Jun
2013
Localized potentials in electrical impedance tomography. Zbl 1154.35464
Gebauer, Bastian
2008
Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
2013
A quasi-reversibility approach to solve the inverse obstacle problem. Zbl 1200.35318
Bourgeois, Laurent; Dardé, Jérémi
2010
A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media. Zbl 1149.35078
2007
Wavelet inpainting by nonlocal total variation. Zbl 1185.42040
Zhang, Xiaoqun; Chan, Tony F.
2010
Image denoising: learning the noise model via nonsmooth PDE-constrained optimization. Zbl 1283.49005
De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane
2013
Inverse problems with partial data in a slab. Zbl 1200.35331
Li, Xiaosheng; Uhlmann, Gunther
2010
Determining nonsmooth first order terms from partial boundary measurements. Zbl 1122.35152
Knudsen, Kim; Salo, Mikko
2007
Coordinate descent optimization for $$l^{1}$$ minimization with application to compressed sensing; a greedy algorithm. Zbl 1188.90196
Li, Yingying; Osher, Stanley
2009
Increasing stability for the inverse source scattering problem with multi-frequencies. Zbl 1366.35241
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2017
Non-local regularization of inverse problems. Zbl 1223.68116
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2011
Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications. Zbl 1135.65026
Haltmeier, Markus; Kowar, Richard; Leitão, Antonio; Scherzer, Otmar
2007
Inverse problems for Einstein manifolds. Zbl 1229.58025
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2009
Positive definiteness of diffusion kurtosis imaging. Zbl 1242.90164
Hu, Shenglong; Huang, Zheng-Hai; Ni, Hong-Yan; Qi, Liqun
2012
Non-Gaussian statistical inverse problems. Part I: Posterior distributions. Zbl 1263.62041
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2012
The factorization method applied to cracks with impedance boundary conditions. Zbl 1302.35430
2013
Stability estimates in stationary inverse transport. Zbl 1168.35446
Bal, Guillaume; Jollivet, Alexandre
2008
An integral equation approach and the interior transmission problem for Maxwell’s equations. Zbl 1129.35080
Kirsch, Andreas
2007
A Rellich type theorem for discrete Schrödinger operators. Zbl 1322.47033
Isozaki, Hiroshi; Morioka, Hisashi
2014
A local mesh method for solving PDEs on point clouds. Zbl 1273.65034
Lai, Rongjie; Liang, Jiang; Zhao, Hongkai
2013
Approximation errors and truncation of computational domains with application to geophysical tomography. Zbl 1121.65113
Lehikoinen, A.; Finsterle, S.; Voutilainen, A.; Heikkinen, L. M.; Vauhkonen, M.; Kaipio, J. P.
2007
Iterative time-reversal control for inverse problems. Zbl 1141.35468
Bingham, Kenrick; Kurylev, Yaroslav; Lassas, Matti; Siltanen, Samuli
2008
Simultaneous determination of the diffusion and absorption coefficient from boundary data. Zbl 1261.35153
Harrach, Bastian
2012
Full identification of acoustic sources with multiple frequencies and boundary measurements. Zbl 1187.65124
Alves, Carlos J. S.; Martins, Nuno F. M.; Roberty, Nilson C.
2009
Stability of Calderón’s inverse conductivity problem in the plane for discontinuous conductivities. Zbl 1202.35346
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2010
Detecting small low emission radiating sources. Zbl 1266.82083
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2013
The weighted Doppler transform. Zbl 1198.44001
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2010
The Bayesian formulation of EIT: analysis and algorithms. Zbl 1348.62104
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2016
Augmented Lagrangian method for an Euler’s elastica based segmentation model that promotes convex contours. Zbl 1416.94013
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2017
Anisotropic total variation regularized $$L^1$$ approximation and denoising/deblurring of 2D bar codes. Zbl 1226.49034
Choksi, Rustum; van Gennip, Yves; Oberman, Adam
2011
A two-level domain decomposition method for image restoration. Zbl 1204.68250
Xu, Jing; Tai, Xue-Cheng; Wang, Li-Lian
2010
Inverse problems for quantum trees. II: Recovering matching conditions for star graphs. Zbl 1208.35166
Avdonin, Sergei; Kurasov, Pavel; Nowaczyk, Marlena
2010
Sampling type methods for an inverse waveguide problem. Zbl 1263.74023
Monk, Peter; Selgas, Virginia
2012
Restoration of manifold-valued images by half-quadratic minimization. Zbl 1348.65097
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2016
Iterated quasi-reversibility method applied to elliptic and parabolic data completion problems. Zbl 06637594
Dardé, Jérémi
2016
A study of the one dimensional total generalised variation regularisation problem. Zbl 1336.49044
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2015
The factorization method is independent of transmission eigenvalues. Zbl 1184.78020
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2009
A time-domain probe method for three-dimensional rough surface reconstructions. Zbl 1209.65092
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2009
A support theorem for the geodesic ray transform of symmetric tensor fields. Zbl 1192.53071
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2009
Spectral estimation and inverse initial boundary value problems. Zbl 1193.93071
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2010
Mitigating the influence of the boundary on PDE-based covariance operators. Zbl 1401.65043
2018
Non-Gaussian statistical inverse problems. II: Posterior convergence for approximated unknowns. Zbl 1263.62042
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2012
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
2019
The “exterior approach” to solve the inverse obstacle problem for the Stokes system. Zbl 1284.35009
Bourgeois, Laurent; Dardé, Jérémi
2014
A decomposition method for an interior inverse scattering problem. Zbl 1273.78012
Zeng, Fang; Suarez, Pablo; Sun, Jiguang
2013
A TV Bregman iterative model of Retinex theory. Zbl 1261.68153
Ma, Wenye; Osher, Stanley
2012
Inverse transport with isotropic sources and angularly averaged measurements. Zbl 1171.65104
Bal, Guillaume; Langmore, Ian; Monard, François
2008
Stability of the determination of a coefficient for wave equations in an infinite waveguide. Zbl 1432.35256
Kian, Yavar
2014
Finite-dimensional attractors for the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation in image inpainting. Zbl 06398723
Cherfils, Laurence; Fakih, Hussein; Miranville, Alain
2015
Nonlinear Tikhonov regularization in Hilbert scales for inverse boundary value problems with random noise. Zbl 1160.65023
Hohage, Thorsten; Pricop, Mihaela
2008
Near-field imaging of the surface displacement on an infinite ground plane. Zbl 1268.78016
Bao, Gang; Lin, Junshan
2013
On the detection of several obstacles in 2D Stokes flow: topological sensitivity and combination with shape derivatives. Zbl 1350.49050
Caubet, Fabien; Conca, Carlos; Godoy, Matías
2016
Efficient tensor tomography in Fan-beam coordinates. Zbl 1348.35324
Monard, François
2016
Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: the 1D case. Zbl 1369.65115
Bécache, Eliane; Bourgeois, Laurent; Franceschini, Lucas; Dardé, Jérémi
2015
Inverse diffusion problems with redundant internal information. Zbl 1302.35449
Monard, François; Bal, Guillaume
2012
On rational approximation methods for inverse source problems. Zbl 1215.35166
Hanke, Martin; Rundell, William
2011
The attenuated magnetic ray transform on surfaces. Zbl 1268.53052
Ainsworth, Gareth
2013
Nonstationary iterated thresholding algorithms for image deblurring. Zbl 1318.94015
Huang, Jie; Donatelli, Marco; Chan, Raymond H.
2013
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations. Zbl 1208.65071
Baumeister, Johann; Kaltenbacher, Barbara; Leitão, Antonio
2010
Remarks on the general Funk transform and thermoacoustic tomography. Zbl 1213.53094
Palamodov, Victor
2010
Inverse acoustic obstacle scattering problems using multifrequency measurements. Zbl 1261.35154
2012
Approximation errors in nonstationary inverse problems. Zbl 1117.62102
Huttunen, Janne M. J.; Kaipio, Jari P.
2007
On uniqueness of obstacles and boundary conditions from restricted dynamical and scattering data. Zbl 1158.35104
Isakov, Victor
2008
Oracle-type posterior contraction rates in Bayesian inverse problems. Zbl 1332.62098
Lin, Kui; Lu, Shuai; Mathé, Peter
2015
A parallel space-time domain decomposition method for unsteady source inversion problems. Zbl 1332.65057
Deng, Xiaomao; Cai, Xiao-Chuan; Zou, Jun
2015
A nonstandard smoothing in reconstruction of apparent diffusion coefficient profiles from diffusion weighted images. Zbl 1391.94063
Chen, Yunmei; Guo, Weihong; Zeng, Qingguo; Liu, Yijun
2008
Identification of obstacles using only the scattered $$P$$-waves or the scattered $$S$$-waves. Zbl 1238.35184
2012
The regularized monotonicity method: detecting irregular indefinite inclusions. Zbl 1407.35226
Garde, Henrik; Staboulis, Stratos
2019
A reference ball based iterative algorithm for imaging acoustic obstacle from phaseless far-field data. Zbl 1407.78019
Dong, Heping; Zhang, Deyue; Guo, Yukun
2019
Increasing stability for determining the potential in the Schrödinger equation with attenuation from the Dirichlet-to-Neumann map. Zbl 1328.35312
Isakov, Victor; Wang, Jenn-Nan
2014
A Kohn-Vogelius formulation to detect an obstacle immersed in a fluid. Zbl 1266.49076
Caubet, Fabien; Dambrine, Marc; Kateb, Djalil; Timimoun, Chahnaz Zakia
2013
Reconstruction of obstacles immersed in an incompressible fluid. Zbl 1129.35078
Heck, Horst; Uhlmann, Gunther; Wang, Jenn-Nan
2007
Direct and inverse spectral problems for a star graph of Stieltjes strings damped at a pendant vertex. Zbl 1471.34057
Yang, Lu; Wei, Guangsheng; Pivovarchik, Vyacheslav
2021
Bragg scattering tomography. Zbl 07383660
Webber, James W.; Miller, Eric L.
2021
Preconditioned Douglas-Rachford type primal-dual method for solving composite monotone inclusion problems with applications. Zbl 07383664
Yang, Yixuan; Tang, Yuchao; Wen, Meng; Zeng, Tieyong
2021
An inverse problem for the Sturm-Liouville pencil with arbitrary entire functions in the boundary condition. Zbl 1436.34013
Yang, Chuan-Fu; Bondarenko, Natalia Pavlovna; Xu, Xiao-Chuan
2020
Unique determinations in inverse scattering problems with phaseless near-field measurements. Zbl 1441.78017
Zhang, Deyue; Guo, Yukun; Sun, Fenglin; Liu, Hongyu
2020
Diffusion generated methods for denoising target-valued images. Zbl 1437.65126
Osting, Braxton; Wang, Dong
2020
Poisson image denoising based on fractional-order total variation. Zbl 1455.94013
Chowdhury, Mujibur Rahman; Zhang, Jun; Qin, Jing; Lou, Yifei
2020
Uniqueness and stability for the recovery of a time-dependent source in elastodynamics. Zbl 1447.65062
Hu, Guanghui; Kian, Yavar
2020
Uniqueness in inverse acoustic and electromagnetic scattering with phaseless near-field data at a fixed frequency. Zbl 07208030
Xu, Xiaoxu; Zhang, Bo; Zhang, Haiwen
2020
Guarantees of Riemannian optimization for low rank matrix completion. Zbl 1439.65059
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
2020
The linear sampling method for Kirchhoff-Love infinite plates. Zbl 1435.35415
Bourgeois, Laurent; Recoquillay, Arnaud
2020
A partial data inverse problem for the convection-diffusion equation. Zbl 1431.35247
Sahoo, Suman Kumar; Vashisth, Manmohan
2020
Nonlocal TV-Gaussian prior for Bayesian inverse problems with applications to limited CT reconstruction. Zbl 1448.62108
Lv, Didi; Zhou, Qingping; Choi, Jae Kyu; Li, Jinglai; Zhang, Xiaoqun
2020
$$\chi^2$$ test for total variation regularization parameter selection. Zbl 1448.65028
2020
On range condition of the tensor x-ray transform in $$\mathbb R^n$$. Zbl 1451.44003
Denisiuk, Aleksander
2020
Regularization of inverse problems via box constrained minimization. Zbl 07208028
Hungerländer, Philipp; Kaltenbacher, Barbara; Rendl, Franz
2020
Statistical characterization of scattering delay in synthetic aperture radar imaging. Zbl 07208031
Gilman, Mikhail; Tsynkov, Semyon
2020
Joint reconstruction in low dose multi-energy CT. Zbl 1444.92061
Toivanen, Jussi; Meaney, Alexander; Siltanen, Samuli; Kolehmainen, Ville
2020
Uniqueness results in the inverse spectral Steklov problem. Zbl 1441.58008
Gendron, Germain
2020
Thermoacoustic tomography with circular integrating detectors and variable wave speed. Zbl 1448.35579
Mathison, Chase
2020
Reconstruction of the derivative of the conductivity at the boundary. Zbl 1448.35580
Ponce-Vanegas, Felipe
2020
Hölder-stable recovery of time-dependent electromagnetic potentials appearing in a dynamical anisotropic Schrödinger equation. Zbl 1458.35478
Kian, Yavar; Tetlow, Alexander
2020
Stability estimates for time-dependent coefficients appearing in the magnetic Schrödinger equation from arbitrary boundary measurements. Zbl 1447.35373
2020
Nonlocal regularized CNN for image segmentation. Zbl 1451.68307
Jia, Fan; Tai, Xue-Cheng; Liu, Jun
2020
Convexification for a 1D hyperbolic coefficient inverse problem with single measurement data. Zbl 1447.35389
Smirnov, Alexey; Klibanov, Michael; Nguyen, Loc
2020
Optimal recovery of a radiating source with multiple frequencies along one line. Zbl 1471.44003
Brander, Tommi; Ilmavirta, Joonas; Piiroinen, Petteri; Tyni, Teemu
2020
Reconstruction of the time-dependent source term in a stochastic fractional diffusion equation. Zbl 1464.35399
Liu, Chan; Wen, Jin; Zhang, Zhidong
2020
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
2019
The regularized monotonicity method: detecting irregular indefinite inclusions. Zbl 1407.35226
Garde, Henrik; Staboulis, Stratos
2019
A reference ball based iterative algorithm for imaging acoustic obstacle from phaseless far-field data. Zbl 1407.78019
Dong, Heping; Zhang, Deyue; Guo, Yukun
2019
Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Zbl 1407.35225
Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu
2019
An inverse obstacle problem for the wave equation in a finite time domain. Zbl 1410.35283
Bourgeois, Laurent; Ponomarev, Dmitry; Dardé, Jérémi
2019
Momentum ray transforms. Zbl 1426.44002
Krishnan, Venkateswaran P.; Manna, Ramesh; Sahoo, Suman Kumar; Sharafutdinov, Vladimir A.
2019
Hyperpriors for Matérn fields with applications in Bayesian inversion. Zbl 1454.60068
Roininen, Lassi; Girolami, Mark; Lasanen, Sari; Markkanen, Markku
2019
A convergent numerical method for a multi-frequency inverse source problem in inhomogenous media. Zbl 1423.35453
Nguyen, Loc H.; Li, Qitong; Klibanov, Michael V.
2019
Microlocal analysis of a spindle transform. Zbl 1411.35019
Webber, James W.; Holman, Sean
2019
Two gesture-computing approaches by using electromagnetic waves. Zbl 1418.35385
Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu
2019
Lipschitz stability for the finite dimensional fractional Calderón problem with finite Cauchy data. Zbl 1423.35454
Rüland, Angkana; Sincich, Eva
2019
A partial inverse problem for the Sturm-Liouville operator on the lasso-graph. Zbl 1410.34066
Yang, Chuan-Fu; Bondarenko, Natalia Pavlovna
2019
Recovering two coefficients in an elliptic equation via phaseless information. Zbl 1407.35229
2019
Inverse obstacle scattering for elastic waves in three dimensions. Zbl 1435.74045
Li, Peijun; Yuan, Xiaokai
2019
A parallel domain decomposition algorithm for large scale image denoising. Zbl 1427.65401
Chen, Rongliang; Huang, Jizu; Cai, Xiao-Chuan
2019
Dynamic inverse problem for Jacobi matrices. Zbl 1418.35382
Mikhaylov, Alexandr; Mikhaylov, Victor
2019
Causal holography in application to the inverse scattering problems. Zbl 1415.37043
Katz, Gabriel
2019
On increasing stability of the continuation for elliptic equations of second order without (pseudo)convexity assumptions. Zbl 1423.35447
Isakov, Victor
2019
Determining rough first order perturbations of the polyharmonic operator. Zbl 1423.35433
Assylbekov, Yernat; Iyer, Karthik
2019
Integral equations for biharmonic data completion. Zbl 1447.35377
Chapko, Roman; Johansson, B. Tomas
2019
An augmented Lagrangian method for solving a new variational model based on gradients similarity measures and high order regulariation for multimodality registration. Zbl 1410.65360
Theljani, Anis; Chen, Ke
2019
Discrete regularization and convergence of the inverse problem for 1+1 dimensional wave equation. Zbl 1418.35380
Korpela, Jussi; Lassas, Matti; Oksanen, Lauri
2019
Inverse problems for the heat equation with memory. Zbl 1407.45006
Avdonin, Sergei A.; Ivanov, Sergei A.; Wang, Jun-Min
2019
Note on Calderón’s inverse problem for measurable conductivities. Zbl 1407.35230
Santacesaria, Matteo
2019
Robust parameter estimation of chaotic systems. Zbl 1437.37112
Springer, Sebastian; Haario, Heikki; Shemyakin, Vladimir; Kalachev, Leonid; Shchepakin, Denis
2019
Stability for determination of Riemannian metrics by spectral data and Dirichlet-to-Neumann map limited on arbitrary subboundary. Zbl 1429.35211
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro
2019
Unique determination of a transversely isotropic perturbation in a linearized inverse boundary value problem for elasticity. Zbl 1430.35083
Yang, Yang; Zhai, Jian
2019
Travel time tomography with formally determined incomplete data in 3D. Zbl 1427.35362
Klibanov, Michael V.
2019
Recovering low-rank matrices from binary measurements. Zbl 1431.15002
Foucart, Simon; Lynch, Richard G.
2019
Inverse elastic surface scattering with far-field data. Zbl 1418.78004
Diao, Huai-An; Li, Peijun; Yuan, Xiaokai
2019
Magnetic parameters inversion method with full tensor gradient data. Zbl 1418.86008
Wang, Yanfei; Lukyanenko, Dmitry; Yagola, Anatoly
2019
Kullback-Leibler residual and regularization for inverse problems with noisy data and noisy operator. Zbl 07114763
Sixou, Bruno; Mory, Cyril
2019
Incorporating structural prior information and sparsity into EIT using parallel level sets. Zbl 1410.65433
Kolehmainen, Ville; Ehrhardt, Matthias J.; Arridge, Simon R.
2019
Propagation of boundary-induced discontinuity in stationary radiative transfer and its application to the optical tomography. Zbl 1410.35269
Chen, I-Kun; Kawagoe, Daisuke
2019
On periodic parameter identification in stochastic differential equations. Zbl 1418.65083
Niu, Pingping; Lu, Shuai; Cheng, Jin
2019
Inverse scattering problem for quasi-linear perturbation of the biharmonic operator on the line. Zbl 1472.34151
Tyni, Teemu; Serov, Valery
2019
A connection between uniqueness of minimizers in Tikhonov-type regularization and Morozov-like discrepancy principles. Zbl 07031523
2019
Mitigating the influence of the boundary on PDE-based covariance operators. Zbl 1401.65043
2018
Scattering problems for perturbations of the multidimensional biharmonic operator. Zbl 06936142
Tyni, Teemu; Serov, Valery
2018
Efficient tensor tomography in fan-beam coordinates. II: Attenuated transforms. Zbl 1397.35345
Monard, François
2018
Inverse source problems without (pseudo) convexity assumptions. Zbl 1395.35213
Isakov, Victor; Lu, Shuai
2018
Superconductive and insulating inclusions for linear and non-linear conductivity equations. Zbl 1398.35286
Brander, Tommi; Ilmavirta, Joonas; Kar, Manas
2018
A globally convergent numerical method for a 3D coefficient inverse problem with a single measurement of multi-frequency data. Zbl 1395.35216
Klibanov, Michael V.; Nguyen, Dinh-Liem; Nguyen, Loc H.; Liu, Hui
2018
Backward problem for a time-space fractional diffusion equation. Zbl 1397.65107
Jia, Junxiong; Peng, Jigen; Gao, Jinghuai; Li, Yujiao
2018
Risk estimators for choosing regularization parameters in ill-posed problems – properties and limitations. Zbl 06945044
Lucka, Felix; Proksch, Katharina; Brune, Christoph; Bissantz, Nicolai; Burger, Martin; Dette, Holger; Wübbeling, Frank
2018
Generalized stability estimates in inverse transport theory. Zbl 1395.35206
Bal, Guillaume; Jollivet, Alexandre
2018
Support theorem for the light-ray transform of vector fields on Minkowski spaces. Zbl 1404.53096
Rabieniaharatbar, Siamak
2018
A variational model with fractional-order regularization term arising in registration of diffusion tensor image. Zbl 06989941
Han, Huan
2018
Use of an optimized spatial prior in D-bar reconstructions of EIT tank data. Zbl 1395.94018
Alsaker, Melody; Mueller, Jennifer L.
2018
Stability estimates in tensor tomography. Zbl 1401.44002
2018
Inverse source problems in electrodynamics. Zbl 1403.35328
Hu, Guanghui; Li, Peijun; Liu, Xiaodong; Zhao, Yue
2018
Parametrices for the light ray transform on Minkowski spacetime. Zbl 1397.53042
Wang, Yiran
2018
On recovery of an inhomogeneous cavity in inverse acoustic scattering. Zbl 1395.35221
Qu, Fenglong; Yang, Jiaqing
2018
Enhancing D-bar reconstructions for electrical impedance tomography with conformal maps. Zbl 1397.65239
Hyvönen, Nuutti; Päivärinta, Lassi; Tamminen, Janne P.
2018
Determination of singular time-dependent coefficients for wave equations from full and partial data. Zbl 1395.35212
Hu, Guanghui; Kian, Yavar
2018
On the parameter estimation problem of magnetic resonance advection imaging. Zbl 1397.65175
Hubmer, Simon; Neubauer, Andreas; Ramlau, Ronny; Voss, Henning U.
2018
EIT in a layered anisotropic medium. Zbl 1395.35204
Alessandrini, Giovanni; de Hoop, Maarten V.; Gaburro, Romina; Sincich, Eva
2018
On a gesture-computing technique using electromagnetic waves. Zbl 1395.35218
Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng
2018
Lens rigidity with partial data in the presence of a magnetic field. Zbl 1464.53055
Zhou, Hanming
2018
Tomographic reconstruction methods for decomposing directional components. Zbl 1404.49024
Kongskov, Rasmus Dalgas; Dong, Yiqiu
2018
A scaled gradient method for digital tomographic image reconstruction. Zbl 1395.94073
Zhang, Jianjun; Hu, Yunyi; Nagy, James G.
2018
Hölder stability estimate in an inverse source problem for a first and half order time fractional diffusion equation. Zbl 1395.35196
Kawamoto, Atsushi
2018
Morozov principle for Kullback-Leibler residual term and Poisson noise. Zbl 1398.65119
Sixou, Bruno; Hohweiller, Tom; Ducros, Nicolas
2018
Geometric mode decomposition. Zbl 1395.49024
Yu, Siwei; Ma, Jianwei; Osher, Stanley
2018
Convergence theorems for the non-local means filter. Zbl 1400.94022
Jin, Qiyu; Grama, Ion; Liu, Quansheng
2018
On the transmission eigenvalue problem for the acoustic equation with a negative index of refraction and a practical numerical reconstruction method. Zbl 1401.78010
Li, Tiexiang; Huang, Tsung-Ming; Lin, Wen-Wei; Wang, Jenn-Nan
2018
Fluid image registration using a finite volume scheme of the incompressible Navier Stokes equation. Zbl 1408.65060
Alahyane, Mohamed; Hakim, Abdelilah; Laghrib, Amine; Raghay, Said
2018
Retinex based on exponent-type total variation scheme. Zbl 1406.80010
Liu, Lu; Pang, Zhi-Feng; Duan, Yuping
2018
Stability estimates for a magnetic Schrödinger operator with partial data. Zbl 1403.35329
2018
Local block operators and TV regularization based image inpainting. Zbl 1408.94702
Wan, Wei; Huang, Haiyang; Liu, Jun
2018
ROI reconstruction from truncated cone-beam projections. Zbl 1435.94007
Azencott, Robert; Bodmann, Bernhard G.; Chowdhury, Tasadduk; Labate, Demetrio; Sen, Anando; Vera, Daniel
2018
Numerical method for image registration model based on optimal mass transport. Zbl 1397.65222
Chen, Yangang; Wan, Justin W. L.
2018
Cloaking for a quasi-linear elliptic partial differential equation. Zbl 1432.35252
Ghosh, Tuhin; Iyer, Karthik
2018
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#### Cited by 3,096 Authors

 44 Uhlmann, Gunther Alberto 30 Salo, Mikko 29 Hu, Guanghui 29 Lassas, Matti J. 23 Klibanov, Michael V. 22 Haltmeier, Markus 22 Huang, Ting-Zhu 21 Haddar, Houssem 21 Li, Peijun 21 Tai, Xuecheng 20 Kian, Yavar 20 Oksanen, Lauri 19 Harrach, Bastian 19 Siltanen, Samuli 18 Cakoni, Fioralba 18 Zhang, Bo 17 Avdonin, Sergeĭ Anatol’evich 17 Scherzer, Otmar 17 Zhao, Xile 16 de Hoop, Maarten V. 16 Moon, Sunghwan 16 Nguyen, Loc Hoang 16 Shen, Zuowei 16 Stefanov, Plamen D. 16 Sun, Jiguang 15 Lu, Shuai 15 Stuart, Andrew M. 15 Yamamoto, Masahiro 14 Bellassoued, Mourad 14 Ikehata, Masaru 14 Liu, Hongyu 14 Liu, Xiaodong 14 Park, Won-Kwang 14 Yan, Guozheng 13 Bourgeois, Laurent 13 Chapko, Roman 13 Guo, Yukun 13 Hofmann, Bernd 13 Kaipio, Jari P. 13 Lesnic, Daniel 13 Li, Jingzhi 13 Lin, Yi-Hsuan 13 Lui, Lok Ming 13 Monard, François 13 Quinto, Eric Todd 13 Ramlau, Ronny 13 Romanov, Vladimir Gavrilovich 13 Zeng, Tie Yong 13 Zhang, Haiwen 12 Bal, Guillaume 12 Bao, Gang 12 Johansson, B. Tomas 12 Mathé, Peter 12 Ng, Michael Kwok-Po 12 Nguyen, Dinh Liem 12 Osher, Stanley Joel 11 Ammari, Habib M. 11 Dong, Bin 11 Huttunen, Janne M. J. 11 Isakov, Victor M. 11 Kaltenbacher, Barbara 11 Karageorghis, Andreas 11 Krishnan, Venkateswaran P. 11 Nakamura, Gen 11 Schönlieb, Carola-Bibiane 11 Shen, Lixin 11 Simon, Barry 11 Wu, Chunlin 11 Zhang, Xiaoqun 11 Zhao, Yue 11 Zou, Jun 10 Boumenir, Amin A. 10 Chen, Ke 10 Dardé, Jérémi 10 Ji, Xia 10 Kurylev, Yaroslav V. 10 Mikhaylov, Victor S. 10 Mueller, Jennifer L. 10 Sini, Mourad 10 Tamasan, Alexandru 10 Tzou, Leo 10 Wang, Jenn-Nan 10 Weinmann, Andreas 9 Assylbekov, Yernat M. 9 Burger, Martin 9 Calvetti, Daniela 9 Duan, Yuping 9 Garnier, Josselin 9 Ghattas, Omar N. 9 Han, Bo 9 Helin, Tapio 9 Hyvönen, Nuutti 9 Kindermann, Stefan 9 Kolehmainen, Ville 9 Kress, Rainer 9 Lai, Ru-Yu 9 Li, Qin 9 Lou, Yifei 9 Ma, Fuming 9 Ma, Tian-Hui ...and 2,996 more Authors
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#### Cited in 334 Journals

 279 Inverse Problems 202 Inverse Problems and Imaging 132 SIAM Journal on Imaging Sciences 77 Journal of Scientific Computing 71 Journal of Mathematical Imaging and Vision 61 Journal of Inverse and Ill-Posed Problems 60 SIAM Journal on Mathematical Analysis 56 Journal of Computational and Applied Mathematics 53 Inverse Problems in Science and Engineering 46 Applicable Analysis 46 Journal of Mathematical Analysis and Applications 45 Computers & Mathematics with Applications 41 SIAM Journal on Scientific Computing 40 Journal of Differential Equations 40 SIAM Journal on Applied Mathematics 39 Journal of Computational Physics 28 Applied Mathematics and Computation 27 Applied Numerical Mathematics 24 Mathematical Problems in Engineering 23 Applied Mathematical Modelling 23 Advances in Computational Mathematics 22 Mathematical Methods in the Applied Sciences 20 Numerische Mathematik 20 SIAM Journal on Numerical Analysis 19 Applied and Computational Harmonic Analysis 19 SIAM/ASA Journal on Uncertainty Quantification 17 Communications in Mathematical Physics 17 Mathematics of Computation 17 Communications in Partial Differential Equations 15 Computer Methods in Applied Mechanics and Engineering 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Journal of Functional Analysis 13 Numerical Functional Analysis and Optimization 13 The Journal of Geometric Analysis 13 Numerical Algorithms 12 Journal of Optimization Theory and Applications 12 Applied Mathematics Letters 12 Journal of Mathematical Sciences (New York) 12 Computational and Applied Mathematics 12 Multiscale Modeling & Simulation 11 Journal of Mathematical Physics 11 Proceedings of the American Mathematical Society 11 Journal of Integral Equations and Applications 11 The Journal of Fourier Analysis and Applications 11 Communications in Computational Physics 10 Wave Motion 10 Mathematische Annalen 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Analysis and Mathematical Physics 9 Advances in Mathematics 9 Linear Algebra and its Applications 9 Computational Optimization and Applications 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Applied Mathematics and Optimization 8 BIT 8 Journal of Approximation Theory 8 Transactions of the American Mathematical Society 8 Engineering Analysis with Boundary Elements 8 Discrete and Continuous Dynamical Systems. Series B 8 Mathematical Control and Related Fields 8 East Asian Journal on Applied Mathematics 7 Archive for Rational Mechanics and Analysis 7 Journal d’Analyse Mathématique 7 European Journal of Applied Mathematics 7 Calculus of Variations and Partial Differential Equations 7 International Journal of Computer Vision 7 Abstract and Applied Analysis 7 Annales Henri Poincaré 7 Research in the Mathematical Sciences 6 Acta Mathematicae Applicatae Sinica. English Series 6 Revista Matemática Iberoamericana 6 Journal of the American Mathematical Society 6 Multidimensional Systems and Signal Processing 6 SIAM Journal on Optimization 6 ETNA. Electronic Transactions on Numerical Analysis 6 Communications on Pure and Applied Analysis 6 Mediterranean Journal of Mathematics 6 Advances in Applied Mathematics and Mechanics 6 Journal of Spectral Theory 5 Information Sciences 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Siberian Mathematical Journal 5 Constructive Approximation 5 Applications of Mathematics 5 International Journal of Computer Mathematics 5 SIAM Review 5 Optimization Methods & Software 5 Communications in Nonlinear Science and Numerical Simulation 5 Computational Methods in Applied Mathematics 5 Journal of Applied Mathematics 5 Complex Variables and Elliptic Equations 5 Electronic Journal of Statistics 5 Mathematical Modelling of Natural Phenomena 5 Discrete and Continuous Dynamical Systems. Series S 5 Analysis & PDE 5 Science China. Mathematics 4 Mathematical Notes 4 Calcolo 4 Duke Mathematical Journal 4 Physica D ...and 234 more Journals
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#### Cited in 53 Fields

 1,290 Partial differential equations (35-XX) 1,171 Numerical analysis (65-XX) 458 Information and communication theory, circuits (94-XX) 327 Optics, electromagnetic theory (78-XX) 283 Computer science (68-XX) 237 Calculus of variations and optimal control; optimization (49-XX) 232 Biology and other natural sciences (92-XX) 184 Operator theory (47-XX) 182 Operations research, mathematical programming (90-XX) 168 Statistics (62-XX) 148 Mechanics of deformable solids (74-XX) 136 Integral transforms, operational calculus (44-XX) 129 Fluid mechanics (76-XX) 97 Integral equations (45-XX) 93 Harmonic analysis on Euclidean spaces (42-XX) 91 Differential geometry (53-XX) 79 Ordinary differential equations (34-XX) 77 Global analysis, analysis on manifolds (58-XX) 66 Linear and multilinear algebra; matrix theory (15-XX) 65 Quantum theory (81-XX) 58 Probability theory and stochastic processes (60-XX) 46 Functional analysis (46-XX) 44 Systems theory; control (93-XX) 40 Potential theory (31-XX) 38 Geophysics (86-XX) 37 Functions of a complex variable (30-XX) 30 Dynamical systems and ergodic theory (37-XX) 29 Statistical mechanics, structure of matter (82-XX) 25 Real functions (26-XX) 24 Classical thermodynamics, heat transfer (80-XX) 22 Special functions (33-XX) 18 Combinatorics (05-XX) 17 Approximations and expansions (41-XX) 16 Difference and functional equations (39-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Astronomy and astrophysics (85-XX) 10 Convex and discrete geometry (52-XX) 8 Measure and integration (28-XX) 8 Relativity and gravitational theory (83-XX) 5 Manifolds and cell complexes (57-XX) 5 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-XX) 4 Geometry (51-XX) 3 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Abstract harmonic analysis (43-XX) 2 Mathematics education (97-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX)