Edit Profile (opens in new tab) Osher, Stanley Joel Compute Distance To: Compute Author ID: osher.stanley-j Published as: Osher, Stanley; Osher, Stanley J.; Osher, S.; Osher, S. J.; Osher, Stanley Joel; Osher, Stan J.; Osher, Stan more...less Homepage: http://www.math.ucla.edu/~sjo/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Awards: Carl Friedrich Gauss Prize (2014) Documents Indexed: 320 Publications since 1967, including 2 Books 7 Contributions as Editor Biographic References: 3 Publications Co-Authors: 229 Co-Authors with 289 Joint Publications 6,530 Co-Co-Authors all top 5 Co-Authors 38 single-authored 26 Merriman, Barry 20 Yin, Wotao 16 Li, Wuchen 14 Fedkiw, Ronald P. 14 Tsai, Yen-Hsi Richard 13 Burger, Martin 12 Engquist, Bjorn E. 11 Cheng, Li-Tien 10 Caflisch, Russel E. 10 Kang, Myungjoo 9 Wang, Bao 9 Zhao, Hongkai 8 Bertozzi, Andrea Louise 8 Chakravarthy, Sukumar R. 8 Chow, Yat Tin 8 Darbon, Jerome 8 Xin, Jack X. 8 Yin, Penghang 7 Majda, Andrew J. 7 Qian, Jianliang 7 Schaeffer, Hayden 7 Shu, Chi-Wang 6 Cai, Jian-Feng 6 Chan, Tony Fan-Cheong 6 Dong, Bin 6 Gilboa, Guy 6 Harten, Ami 6 Lai, Rongjie 6 Lin, Alex Tong 6 Liu, Siting 6 Shen, Zuowei 6 Vese, Luminita A. 6 Yang, Yi 6 Zhu, Wei 5 Kao, Chiu-Yen 5 Liu, Hailiang 4 Bresson, Xavier 4 Cecil, Thomas C. 4 Goldfarb, Donald 4 Lee, Wonjun 4 Liu, Xudong 4 Mao, Yu 4 Sapiro, Guillermo 4 Shi, Zuoqiang 4 Tran, Giang N. 4 Xu, Jinjun 3 Arnold, David John 3 Barekat, Farzin 3 Burchard, Paul 3 Chen, Susan 3 Chien, Aichi 3 Fatemi, Emad A. 3 Goldstein, Tom 3 Gyure, Mark F. 3 Hafez, Mohamed M. 3 Hauck, Cory D. 3 Jin, Shi 3 Li, Yingying 3 Lou, Yifei 3 Möller, Michael 3 Oberman, Adam M. 3 Osting, Braxton 3 Parkinson, Christian 3 Peng, Danping 3 Ralston, James V. 3 Ratsch, Christian 3 Ruuth, Steven J. 3 Ryu, Ernest K. 3 Scherzer, Otmar 3 Sethian, James A. 3 Shim, Hyeseon 3 Smereka, Peter 3 Sussman, Mark 3 Whitlow, Woodrow jun. 3 Yan, Ming 3 Zhang, Xiaoqun 3 Zosso, Dominique 2 Aslam, Tariq D. 2 Aujol, Jean-François 2 Brenier, Yann 2 Donat, Rosa 2 Fung, Samy Wu 2 Gangbo, Wilfrid 2 Gao, Hao 2 Gibou, Frédéric 2 Giga, Yoshikazu 2 Glowinski, Roland 2 Harabetian, Eduard 2 He, Lin 2 Hou, Thomas Yizhao 2 Jacobs, Matthew 2 Karagozian, Ann R. 2 Kindermann, Stefan 2 Kupka, Ivan A. K. 2 Lafon, F. C. 2 Lee, Byungjoon 2 Leung, Shingyu 2 Lyu, Jiancheng 2 Ma, Jianwei 2 Ma, Wenye ...and 131 more Co-Authors all top 5 Serials 59 Journal of Computational Physics 29 Journal of Scientific Computing 19 SIAM Journal on Numerical Analysis 16 Mathematics of Computation 15 Communications in Mathematical Sciences 14 SIAM Journal on Imaging Sciences 13 Inverse Problems and Imaging 11 Multiscale Modeling & Simulation 9 Communications on Pure and Applied Mathematics 8 Research in the Mathematical Sciences 6 SIAM Journal on Scientific Computing 5 SIAM Journal on Applied Mathematics 5 IEEE Transactions on Image Processing 4 AIAA Journal 4 Proceedings of the National Academy of Sciences of the United States of America 3 Computers and Fluids 3 Inverse Problems 3 Transactions of the American Mathematical Society 3 European Journal of Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Bulletin of the American Mathematical Society 2 Indiana University Mathematics Journal 2 Applied Numerical Mathematics 2 IEEE Transactions on Signal Processing 2 Journal of Mathematical Imaging and Vision 2 The Asian Journal of Mathematics 2 Journal of Machine Learning Research (JMLR) 2 SIAM Journal on Mathematics of Data Science 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Analysis and Applications 1 Wave Motion 1 Theoretical and Computational Fluid Dynamics 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Journal of Fluids and Structures 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Communications in Partial Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Journal of Nonlinear Science 1 Applied and Computational Harmonic Analysis 1 International Journal of Computer Vision 1 Methods and Applications of Analysis 1 Computer Vision and Image Understanding 1 RIMS Kokyuroku 1 Combustion Theory and Modelling 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 CMES. Computer Modeling in Engineering & Sciences 1 Acta Numerica 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Applied Mathematical Sciences 1 Lecture Notes in Mathematics 1 Communications in Computational Physics 1 Annals of Mathematical Sciences and Applications 1 Mathematics and Visualization 1 Scientific Computation all top 5 Fields 186 Numerical analysis (65-XX) 141 Partial differential equations (35-XX) 70 Calculus of variations and optimal control; optimization (49-XX) 60 Fluid mechanics (76-XX) 56 Computer science (68-XX) 55 Information and communication theory, circuits (94-XX) 33 Operations research, mathematical programming (90-XX) 17 Biology and other natural sciences (92-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Operator theory (47-XX) 8 Statistics (62-XX) 7 General and overarching topics; collections (00-XX) 7 Mechanics of deformable solids (74-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Optics, electromagnetic theory (78-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Geophysics (86-XX) 5 Functional analysis (46-XX) 5 Mechanics of particles and systems (70-XX) 5 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Ordinary differential equations (34-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Differential geometry (53-XX) 4 Probability theory and stochastic processes (60-XX) 3 History and biography (01-XX) 3 Potential theory (31-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 293 Publications have been cited 21,059 times in 10,614 Documents Cited by ▼ Year ▼ Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Zbl 0659.65132Osher, Stanley; Sethian, James A. 2,004 1988 Nonlinear total variation based noise removal algorithms. Zbl 0780.49028Rudin, Leonid I.; Osher, Stanley; Fatemi, Emad 1,855 1992 Efficient implementation of essentially nonoscillatory shock-capturing schemes. Zbl 0653.65072Shu, Chi-Wang; Osher, Stanley 1,588 1988 A level set approach for computing solutions to incompressible two-phase flow. Zbl 0808.76077Sussman, Mark; Smereka, Peter; Osher, Stanley 996 1994 Weighted essentially non-oscillatory schemes. Zbl 0811.65076Liu, Xu-Dong; Osher, Stanley; Chan, Tony 940 1994 Uniformly high order accurate essentially non-oscillatory schemes. III. Zbl 0652.65067Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar 937 1987 Efficient implementation of essentially nonoscillatory shock-capturing schemes. II. Zbl 0674.65061Shu, Chi-Wang; Osher, Stanley 878 1989 Level set methods and dynamic implicit surfaces. Zbl 1026.76001Osher, Stanley; Fedkiw, Ronald 709 2003 The split Bregman method for \(\ell_1\)-regularized problems. Zbl 1177.65088Goldstein, Tom; Osher, Stanley 648 2009 A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). Zbl 0957.76052Fedkiw, Ronald P.; Aslam, Tariq; Merriman, Barry; Osher, Stanley 619 1999 Level set methods: An overview and some recent results. Zbl 0988.65093Osher, Stanley; Fedkiw, Ronald P. 370 2001 Nonlocal operators with applications to image processing. Zbl 1181.35006Gilboa, Guy; Osher, Stanley 354 2008 Uniformly high-order accurate nonoscillatory schemes. I. Zbl 0627.65102Harten, Ami; Osher, Stanley 295 1987 A PDE-based fast local level set method. Zbl 0964.76069Peng, Danping; Merriman, Barry; Osher, Stanley; Zhao, Hongkai; Kang, Myungjoo 292 1999 An iterative regularization method for total variation-based image restoration. Zbl 1090.94003Osher, Stanley; Burger, Martin; Goldfarb, Donald; Xu, Jinjun; Yin, Wotao 285 2005 Bregman iterative algorithms for \(\ell_1\)-minimization with applications to compressed sensing. Zbl 1203.90153Yin, Wotao; Osher, Stanley; Goldfarb, Donald; Darbon, Jerome 273 2008 High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066Osher, Stanley; Shu, Chi-Wang 256 1991 A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. Zbl 0847.76048Chang, Y. C.; Hou, T. Y.; Merriman, B.; Osher, S. 225 1996 A variational level set approach to multiphase motion. Zbl 0860.65050Zhao, Hong-Kai; Chan, T.; Merriman, B.; Osher, S. 193 1996 Split Bregman methods and frame based image restoration. Zbl 1189.94014Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 183 2010 Upwind difference schemes for hyperbolic systems of conservation laws. Zbl 0483.65055Osher, Stanley; Solomon, Fred 172 1982 An improved level set method for incompressible two-phase flows. Zbl 0967.76078Sussman, Mark; Fatemi, Emad; Smereka, Peter; Osher, Stanley 167 1998 Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum. Zbl 1056.74061Osher, Stanley J.; Santosa, Fadil 157 2001 A simple level set method for solving Stefan problems. Zbl 0889.65133Chen, S.; Merriman, B.; Osher, S.; Smereka, P. 150 1997 Riemann solvers, the entropy condition, and difference approximations. Zbl 0592.65069Osher, Stanley 140 1984 Image decomposition and restoration using total variation minimization and the \(H^{-1}\) norm. Zbl 1051.49026Osher, Stanley; Solé, Andrés; Vese, Luminita 132 2003 Computing interface motion in compressible gas dynamics. Zbl 0758.76044Mulder, W.; Osher, S.; Sethian, James A. 130 1992 Fast sweeping algorithms for a class of Hamilton-Jacobi equations. Zbl 1049.35020Tsai, Yen-Hsi Richard; Cheng, Li-Tien; Osher, Stanley; Zhao, Hong-Kai 121 2003 Variational problems and partial differential equations on implicit surfaces. Zbl 0991.65055Bertalmío, Marcelo; Cheng, Li-Tien; Osher, Stanley; Sapiro, Guillermo 118 2001 Bregmanized nonlocal regularization for deconvolution and sparse reconstruction. Zbl 1191.94030Zhang, Xiaoqun; Burger, Martin; Bresson, Xavier; Osher, Stanley 115 2010 A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052Zhang, Xiaoqun; Burger, Martin; Osher, Stanley 114 2011 A hybrid method for moving interface problems with application to the Hele-Shaw flow. Zbl 0888.76067Hou, Thomas Y.; Li, Zhilin; Osher, Stanley; Zhao, Hongkai 109 1997 Nonlocal linear image regularization and supervised segmentation. Zbl 1140.68517Gilboa, Guy; Osher, Stanley 108 2007 Motion of multiple junctions: A level set approach. Zbl 0805.65090Merriman, Barry; Bence, James K.; Osher, Stanley J. 105 1994 Convergence rates of convex variational regularization. Zbl 1068.65085Burger, Martin; Osher, Stanley 105 2004 High resolution schemes and the entropy condition. Zbl 0556.65074Osher, Stanley; Chakravarthy, Sukumar 103 1984 Modeling textures with total variation minimization and oscillating patterns in image processing. Zbl 1034.49039Vese, Luminita A.; Osher, Stanley J. 97 2003 Some results on uniformly high-order accurate essentially nonoscillatory schemes. Zbl 0627.65101Harten, Ami; Osher, Stanley; Engquist, Björn; Chakravarthy, Sukumar R. 94 1986 Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary. Zbl 0314.35061Majda, Andrew; Osher, Stanley 91 1975 Image restoration: total variation, wavelet frames, and beyond. Zbl 1277.35019Cai, Jian-Feng; Dong, Bin; Osher, Stanley; Shen, Zuowei 91 2012 One-sided difference approximations for nonlinear conservation laws. Zbl 0469.65067Engquist, Bjorn; Osher, Stanley 90 1981 Deblurring and denoising of images by nonlocal functionals. Zbl 1161.68827Kindermann, Stefan; Osher, Stanley; Jones, Peter W. 85 2005 A survey on level set methods for inverse problems and optimal design. Zbl 1091.49001Burger, Martin; Osher, Stanley J. 83 2005 Structure-texture image decomposition – modeling, algorithms, and parameter selection. Zbl 1287.94011Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley 82 2006 Feature-oriented image enhancement using shock filters. Zbl 0714.65096Osher, Stanley; Rudin, Leonid I. 77 1990 Linearized Bregman iterations for compressed sensing. Zbl 1198.65102Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 75 2009 Geometric applications of the split Bregman method: segmentation and surface reconstruction. Zbl 1203.65044Goldstein, Tom; Bresson, Xavier; Osher, Stanley 74 2010 Spatially adaptive techniques for level set methods and incompressible flow. Zbl 1177.76295Losasso, Frank; Fedkiw, Ronald; Osher, Stanley 74 2006 Image recovery via nonlocal operators. Zbl 1203.65088Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea 73 2010 A review of level-set methods and some recent applications. Zbl 1380.65196Gibou, Frederic; Fedkiw, Ronald; Osher, Stanley 69 2018 Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions. Zbl 1053.65086Cecil, Tom; Qian, Jianliang; Osher, Stanley 67 2004 High-resolution nonoscillatory central schemes with nonstaggered grids for hyperbolic conservation laws. Zbl 0920.65053Jiang, G.-S.; Levy, D.; Lin, C.-T.; Osher, S.; Tadmor, E. 67 1998 Nonoscillatory high order accurate self-similar maximum principle satisfying shock capturing schemes. I. Zbl 0859.65091Liu, Xu-Dong; Osher, Stanley 66 1996 Linearized Bregman iterations for frame-based image deblurring. Zbl 1175.94010Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 66 2009 Convergence of generalized MUSCL schemes. Zbl 0627.35061Osher, Stanley 65 1985 Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint). Zbl 0866.65058Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar R. 65 1997 Geometric level set methods in imaging, vision, and graphics. Zbl 1027.68137 63 2003 A nonlinear inverse scale space method for a convex multiplicative noise model. Zbl 1185.94018Shi, Jianing; Osher, Stanley 62 2008 Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations. Zbl 1053.65088Kao, Chiu Yen; Osher, Stanley; Qian, Jianliang 60 2004 A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley 60 2003 Numerical approximations to nonlinear conservation laws with locally varying time and space grids. Zbl 0592.65068Osher, Stanley; Sanders, Richard 59 1983 Noise removal using smoothed normals and surface fitting. Zbl 1286.94022Lysaker, Marius; Osher, Stanley; Tai, Xue-Cheng 54 2004 Splitting methods in communication and imaging, science, and engineering. Zbl 1362.65002 53 2016 Implicit and nonparametric shape reconstruction from unorganized data using a variational level set method. Zbl 1011.68538Zhao, Hong-Kai; Osher, Stanley; Merriman, Barry; Kang, Myungjoo 52 2000 Explicit algorithms for a new time dependent model based on level set motion for nonlinear deblurring and noise removal. Zbl 0969.65081Marquina, Antonio; Osher, Stanley 52 2000 Decomposition of images by the anisotropic Rudin-Osher-Fatemi model. Zbl 1083.49029Esedoḡlu, Selim; Osher, Stanley J. 52 2004 Convergence of the linearized Bregman iteration for \(\ell _1\)-norm minimization. Zbl 1198.65103Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 50 2009 Geometric optics in a phase-space-based level set and Eulerian framework. Zbl 0999.78002Osher, Stanley; Cheng, Li-Tien; Kang, Myungjoo; Shim, Hyeseon; Tsai, Yen-Hsi 50 2002 A splitting method for orthogonality constrained problems. Zbl 1296.65087Lai, Rongjie; Osher, Stanley 48 2014 Incorporating topological derivatives into shape derivatives based level set methods. Zbl 1122.65057He, Lin; Kao, Chiu-Yen; Osher, Stanley 48 2007 Fast linearized Bregman iteration for compressive sensing and sparse denoising. Zbl 1190.49040Osher, Stanley; Mao, Yu; Dong, Bin; Yin, Wotao 47 2010 On the convergence of difference approximations to scalar conservation laws. Zbl 0637.65091Osher, Stanley; Tadmor, Eitan 46 1988 The Fourier method for nonsmooth initial data. Zbl 0393.65039Majda, Andrew; McDonough, James; Osher, Stanley 45 1978 Sparse dynamics for partial differential equations. Zbl 1292.35012Schaeffer, Hayden; Caflisch, Russel; Hauck, Cory D.; Osher, Stanley 44 2013 Triangle based adaptive stencils for the solution of hyperbolic conservation laws. Zbl 0747.65072Durlofsky, Louis J.; Engquist, Bjorn; Osher, Stanley 43 1992 A level set method for the computation of multivalued solutions to quasi-linear hyperbolic PDEs and Hamilton-Jacobi equations. Zbl 1090.35116Jin, Shi; Osher, Stanley 42 2003 Convex ENO high order multi-dimensional schemes without field by field decomposition or staggered grids. Zbl 0941.65082Liu, Xu-Dong; Osher, Stanley 42 1998 Nonlinear inverse scale space methods. Zbl 1106.68117Burger, Martin; Gilboa, Guy; Osher, Stanley; Xu, Jinjun 42 2006 The digital TV filter and nonlinear denoising. Zbl 1039.68778Chan, Tony F.; Osher, Stanley; Shen, Jianhong 41 2001 A level set formulation for the solution of the Dirichlet problem for Hamilton-Jacobi equations. Zbl 0804.35021Osher, Stanley 41 1993 Fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1090.35016Kao, Chiu-Yen; Osher, Stanley; Tsai, Yen-Hsi 40 2005 Stable and entropy satisfying approximations for transonic flow calculations. Zbl 0438.76051Engquist, Bjorn; Osher, Stanley 39 1980 Computational high-frequency wave propagation using the level set method with applications to the semi-classical limit of Schrödinger equations. Zbl 1084.35066Cheng, Li-Tien; Liu, Hailiang; Osher, Stanley 38 2003 Upwind schemes and boundary conditions with applications to Euler equations in general geometries. Zbl 0518.76060Osher, Stanley; Chakravarthy, Sukumar 38 1983 Image super-resolution by TV-regularization and Bregman iteration. Zbl 1203.94014Marquina, Antonio; Osher, Stanley J. 37 2008 A local discontinuous Galerkin method for directly solving Hamilton-Jacobi equations. Zbl 1205.65271Yan, Jue; Osher, Stanley 37 2011 A weighted difference of anisotropic and isotropic total variation model for image processing. Zbl 1322.94019Lou, Yifei; Zeng, Tieyong; Osher, Stanley; Xin, Jack 37 2015 Numerical solution of the high frequency asymptotic expansion for the scalar wave equation. Zbl 0836.65099Fatemi, E.; Engquist, B.; Osher, S. 35 1995 Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation. Zbl 1072.65132Jin, Shi; Liu, Hailiang; Osher, Stanley; Tsai, Yen-Hsi Richard 35 2005 Numerical methods for \(p\)-harmonic flows and applications to image processing. Zbl 1035.65065Vese, Luminita A.; Osher, Stanley J. 34 2002 A guide to the TV zoo. Zbl 1342.94014Burger, Martin; Osher, Stanley 34 2013 High-order ENO schemes applied to two- and three-dimensional compressible flow. Zbl 0741.76052Shu, Chi-Wang; Zang, Thomas A.; Erlebacher, Gordon; Whitaker, David; Osher, Stanley 33 1992 Motion of curves in three spatial dimensions using a level set approach. Zbl 0991.65077Burchard, Paul; Cheng, Li-Tien; Merriman, Barry; Osher, Stanley 33 2001 Steiner polynomials, Wulff flows, and some new isoperimetric inequalities for convex plane curves. Zbl 0969.53040Green, Mark; Osher, Stanley 33 1999 Compressed modes for variational problems in mathematics and physics. Zbl 1292.81024Ozoliņš, Vidvuds; Lai, Rongjie; Caflisch, Russel; Osher, Stanley 33 2013 Nonlinear singular perturbation problems and one sided difference schemes. Zbl 0471.65069Osher, Stanley 32 1981 Monotone difference schemes for singular perturbation problems. Zbl 0507.65039Abrahamsson, Leif; Osher, Stanley 31 1982 \(L^ 1\) stability of travelling waves with applications to convective porous media flow. Zbl 0479.35053Osher, Stanley; Ralston, James 28 1982 Island dynamics and the level set method for epitaxial growth. Zbl 0937.35191Caflisch, R. E.; Gyure, M. F.; Merriman, B.; Osher, S. J.; Ratsch, C.; Vvedensky, D. D.; Zinck, J. J. 28 1999 A level set-based Eulerian approach for anisotropic wave propagation. Zbl 1163.74426Qian, Jianliang; Cheng, Li-Tien; Osher, Stanley 28 2003 Scheduled restart momentum for accelerated stochastic gradient descent. Zbl 1492.90132Wang, Bao; Nguyen, Tan; Sun, Tao; Bertozzi, Andrea L.; Baraniuk, Richard G.; Osher, Stanley J. 2 2022 Controlling conservation laws. II: Compressible Navier-Stokes equations. Zbl 07536764Li, Wuchen; Liu, Siting; Osher, Stanley 1 2022 Computational mean-field information dynamics associated with reaction-diffusion equations. Zbl 07561086Li, Wuchen; Lee, Wonjun; Osher, Stanley 1 2022 Controlling propagation of epidemics via mean-field control. Zbl 1458.92075Lee, Wonjun; Liu, Siting; Tembine, Hamidou; Li, Wuchen; Osher, Stanley 6 2021 Computational methods for first-order nonlocal mean field games with applications. Zbl 1477.35276Liu, Siting; Jacobs, Matthew; Li, Wuchen; Nurbekyan, Levon; Osher, Stanley J. 6 2021 Wasserstein proximal of GANs. Zbl 07495252Lin, Alex Tong; Li, Wuchen; Osher, Stanley; Montúfar, Guido 4 2021 Adversarial defense via the data-dependent activation, total variation minimization, and adversarial training. Zbl 07354120Wang, Bao; Lin, Alex; Yin, Penghang; Zhu, Wei; Bertozzi, Andrea L.; Osher, Stanley J. 3 2021 Graph interpolating activation improves both natural and robust accuracies in data-efficient deep learning. Zbl 07441298Wang, Bao; Osher, Stan J. 2 2021 Laplacian smoothing stochastic gradient Markov chain Monte Carlo. Zbl 1464.65007Wang, Bao; Zou, Difan; Gu, Quanquan; Osher, Stanley J. 1 2021 Connections between deep learning and partial differential equations. Zbl 1479.35002Burger, M.; E, W.; Ruthotto, L.; Osher, S. J. 1 2021 Generalized unnormalized optimal transport and its fast algorithms. Zbl 07513833Lee, Wonjun; Lai, Rongjie; Li, Wuchen; Osher, Stanley 1 2021 A model for optimal human navigation with stochastic effects. Zbl 1446.49023Parkinson, Christian; Arnold, David; Bertozzi, Andrea; Osher, Stanley 1 2020 Solving large-scale optimization problems with a convergence rate independent of grid size. Zbl 1422.49033Jacobs, Matt; Léger, Flavien; Li, Wuchen; Osher, Stanley 10 2019 Unnormalized optimal transport. Zbl 1453.49016Gangbo, Wilfrid; Li, Wuchen; Osher, Stanley; Puthawala, Michael 9 2019 Algorithm for overcoming the curse of dimensionality for state-dependent Hamilton-Jacobi equations. Zbl 1452.49016Chow, Yat Tin; Darbon, Jérôme; Osher, Stanley; Yin, Wotao 8 2019 Algorithm for Hamilton-Jacobi equations in density space via a generalized Hopf formula. Zbl 1422.91102Chow, Yat Tin; Li, Wuchen; Osher, Stanley; Yin, Wotao 7 2019 Blended coarse gradient descent for full quantization of deep neural networks. Zbl 1422.90066Yin, Penghang; Zhang, Shuai; Lyu, Jiancheng; Osher, Stanley; Qi, Yingyong; Xin, Jack 4 2019 Optimal human navigation in steep terrain: a Hamilton-Jacobi-Bellman approach. Zbl 1417.49033Parkinson, Christian; Arnold, David; Bertozzi, Andrea L.; Chow, Yat Tin; Osher, Stanley 3 2019 Modeling environmental crime in protected areas using the level set method. Zbl 1428.35086Arnold, D. J.; Fernandez, D.; Jia, R.; Parkinson, C.; Tonne, D.; Yaniv, Y.; Bertozzi, A. L.; Osher, S. J. 3 2019 Block matching local SVD operator based sparsity and TV regularization for image denoising. Zbl 07042459Liu, Jun; Osher, Stanley 2 2019 A review of level-set methods and some recent applications. Zbl 1380.65196Gibou, Frederic; Fedkiw, Ronald; Osher, Stanley 69 2018 Computations of optimal transport distance with Fisher information regularization. Zbl 1415.49030Li, Wuchen; Yin, Penghang; Osher, Stanley 25 2018 Deep relaxation: partial differential equations for optimizing deep neural networks. Zbl 1427.82032Chaudhari, Pratik; Oberman, Adam; Osher, Stanley; Soatto, Stefano; Carlier, Guillaume 22 2018 A parallel method for earth mover’s distance. Zbl 1398.65124Li, Wuchen; Ryu, Ernest K.; Osher, Stanley; Yin, Wotao; Gangbo, Wilfrid 22 2018 Algorithm for overcoming the curse of dimensionality for certain non-convex Hamilton-Jacobi equations, projections and differential games. Zbl 1415.35087Chow, Yat Tin; Darbon, Jérôme; Osher, Stanley; Yin, Wotao 5 2018 Vector and matrix optimal mass transport: theory, algorithm, and applications. Zbl 1478.49044Ryu, Ernest K.; Chen, Yongxin; Li, Wuchen; Osher, Stanley 5 2018 Unbalanced and partial \(L_1\) Monge-Kantorovich problem: a scalable parallel first-order method. Zbl 1415.49032Ryu, Ernest K.; Li, Wuchen; Yin, Penghang; Osher, Stanley 5 2018 A splitting method for overcoming the curse of dimensionality in Hamilton-Jacobi equations arising from nonlinear optimal control and differential games with applications to trajectory generation. Zbl 1480.49039Lin, Alex Tong; Chow, Yat Tin; Osher, Stanley J. 5 2018 Parallel redistancing using the Hopf-Lax formula. Zbl 1395.65118Royston, Michael; Pradhana, Andre; Lee, Byungjoon; Chow, Yat Tin; Yin, Wotao; Teran, Joseph; Osher, Stanley 4 2018 Geometric mode decomposition. Zbl 1395.49024Yu, Siwei; Ma, Jianwei; Osher, Stanley 3 2018 Stochastic backward Euler: an implicit gradient descent algorithm for \(k\)-means clustering. Zbl 06993319Yin, Penghang; Pham, Minh; Oberman, Adam; Osher, Stanley 3 2018 BinaryRelax: a relaxation approach for training deep neural networks with quantized weights. Zbl 1419.90072Yin, Penghang; Zhang, Shuai; Lyu, Jiancheng; Osher, Stanley; Qi, Yingyong; Xin, Jack 2 2018 Generalization of the weighted nonlocal Laplacian in low dimensional manifold model. Zbl 1398.65021Shi, Zuoqiang; Osher, Stanley; Zhu, Wei 2 2018 Scientific data interpolation with low dimensional manifold model. Zbl 1375.68049Zhu, Wei; Wang, Bao; Barnard, Richard; Hauck, Cory D.; Jenko, Frank; Osher, Stanley 1 2018 Low dimensional manifold model for image processing. Zbl 1401.49042Osher, Stanley; Shi, Zuoqiang; Zhu, Wei 13 2017 Weighted nonlocal Laplacian on interpolation from sparse data. Zbl 1381.65007Shi, Zuoqiang; Osher, Stanley; Zhu, Wei 13 2017 Algorithm for overcoming the curse of dimensionality for time-dependent non-convex Hamilton-Jacobi equations arising from optimal control and differential games problems. Zbl 1381.65048Chow, Yat Tin; Darbon, Jérôme; Osher, Stanley; Yin, Wotao 11 2017 Revisiting the redistancing problem using the Hopf-Lax formula. Zbl 1378.35292Lee, Byungjoon; Darbon, Jérôme; Osher, Stanley; Kang, Myungjoo 9 2017 An efficient primal-dual method for the obstacle problem. Zbl 1379.35093Zosso, Dominique; Osting, Braxton; Xia, Mandy (Mengqi); Osher, Stanley J. 7 2017 On the support of compressed modes. Zbl 1379.49003Barekat, Farzin; Caflisch, Russel; Osher, Stanley 1 2017 Splitting methods in communication and imaging, science, and engineering. Zbl 1362.65002 53 2016 Algorithms for overcoming the curse of dimensionality for certain Hamilton-Jacobi equations arising in control theory and elsewhere. Zbl 1348.49026Darbon, Jérôme; Osher, Stanley 27 2016 Sparse recovery via differential inclusions. Zbl 1360.94090Osher, Stanley; Ruan, Feng; Xiong, Jiechao; Yao, Yuan; Yin, Wotao 7 2016 A multiphase image segmentation based on fuzzy membership functions and L1-norm fidelity. Zbl 1353.65015Li, Fang; Osher, Stanley; Qin, Jing; Yan, Ming 5 2016 On a mathematical theory of coded exposure. Zbl 1366.94069Tendero, Yohann; Osher, Stanley 1 2016 On a mathematical theory of coded exposure. Zbl 1342.94031Tendero, Yohann; Osher, Stanley 1 2016 Splitting enables overcoming the curse of dimensionality. Zbl 1372.65190Darbon, Jérôme; Osher, Stanley J. 1 2016 A weighted difference of anisotropic and isotropic total variation model for image processing. Zbl 1322.94019Lou, Yifei; Zeng, Tieyong; Osher, Stanley; Xin, Jack 37 2015 An \(L^1\) penalty method for general obstacle problems. Zbl 1328.35336Tran, Giang; Schaeffer, Hayden; Feldman, William M.; Osher, Stanley J. 20 2015 Computational aspects of constrained \(L_1\)-\(L_2\) minimization for compressive sensing. Zbl 1370.90176Lou, Yifei; Osher, Stanley; Xin, Jack 18 2015 Non-local Retinex – a unifying framework and beyond. Zbl 1328.68286Zosso, Dominique; Tran, Giang; Osher, Stanley J. 12 2015 Density matrix minimization with \({\ell}_1\) regularization. Zbl 1327.65110Lai, Rongjie; Lu, Jianfeng; Osher, Stanley 9 2015 PDEs with compressed solutions. Zbl 1329.35026Caflisch, Russel E.; Osher, Stanley J.; Schaeffer, Hayden; Tran, Giang 8 2015 Space-time regularization for video decompression. Zbl 1314.49021Schaeffer, Hayden; Yang, Yi; Osher, Stanley 3 2015 Real-time adaptive video compression. Zbl 1329.94014Schaeffer, Hayden; Yang, Yi; Zhao, Hongkai; Osher, Stanley 2 2015 Hyperspectral unmixing by the alternating direction method of multipliers. Zbl 1332.65088Warren, Russell E.; Osher, Stanley J. 1 2015 A splitting method for orthogonality constrained problems. Zbl 1296.65087Lai, Rongjie; Osher, Stanley 48 2014 Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator. Zbl 1355.35054Ozoliņš, Vidvuds; Lai, Rongjie; Caflisch, Russel; Osher, Stanley 14 2014 On the compressive spectral method. Zbl 1314.65152Mackey, Alan; Schaeffer, Hayden; Osher, Stanley 14 2014 Heat source identification based on \(\ell_1\) constrained minimization. Zbl 1283.49041Li, Yingying; Osher, Stanley; Tsai, Richard 11 2014 Optimal data collection for informative rankings expose well-connected graphs. Zbl 1319.62046Osting, Braxton; Brune, Christoph; Osher, Stanley J. 8 2014 2D empirical transforms. Wavelets, ridgelets, and curvelets revisited. Zbl 1295.42022Gilles, Jérôme; Tran, Giang; Osher, Stanley 8 2014 Learning circulant sensing kernels. Zbl 1332.94018Xu, Yangyang; Yin, Wotao; Osher, Stanley 1 2014 Sparse dynamics for partial differential equations. Zbl 1292.35012Schaeffer, Hayden; Caflisch, Russel; Hauck, Cory D.; Osher, Stanley 44 2013 A guide to the TV zoo. Zbl 1342.94014Burger, Martin; Osher, Stanley 34 2013 Compressed modes for variational problems in mathematics and physics. Zbl 1292.81024Ozoliņš, Vidvuds; Lai, Rongjie; Caflisch, Russel; Osher, Stanley 33 2013 A low patch-rank interpretation of texture. Zbl 1335.68287Schaeffer, Hayden; Osher, Stanley 26 2013 Error forgetting of Bregman iteration. Zbl 1263.65059Yin, Wotao; Osher, Stanley 18 2013 An adaptive inverse scale space method for compressed sensing. Zbl 1260.49053Burger, Martin; Möller, Michael; Benning, Martin; Osher, Stanley 14 2013 Bregmanized domain decomposition for image restoration. Zbl 1308.94020Langer, Andreas; Osher, Stanley; Schönlieb, Carola-Bibiane 12 2013 Fast singular value thresholding without singular value decomposition. Zbl 1401.65042Cai, Jian-Feng; Osher, Stanley 9 2013 A dual split Bregman method for fast \(\ell ^{1}\) minimization. Zbl 1270.49026Yang, Yi; Möller, Michael; Osher, Stanley 7 2013 Seismic data reconstruction via matrix completion. Zbl 1292.15017Yang, Yi; Ma, Jianwei; Osher, Stanley 6 2013 Level set and PDE based reconstruction methods in imaging. Lecture notes given at the CIME summer school, Cetraro, Italy, September 2008. Zbl 1277.94002 4 2013 Statistical ranking using the \(\ell^{1}\)-norm on graphs. Zbl 1319.62047Osting, Braxton; Darbon, Jérôme; Osher, Stanley 4 2013 Hybrid regularization for MRI reconstruction with static field inhomogeneity correction. Zbl 1302.65153Compton, Ryan; Osher, Stanley; Bouchard, Louis-S. 4 2013 Exact low-rank matrix completion from sparsely corrupted entries via adaptive outlier pursuit. Zbl 1275.65024Yan, Ming; Yang, Yi; Osher, Stanley 2 2013 Image restoration: total variation, wavelet frames, and beyond. Zbl 1277.35019Cai, Jian-Feng; Dong, Bin; Osher, Stanley; Shen, Zuowei 91 2012 A TV Bregman iterative model of Retinex theory. Zbl 1261.68153Ma, Wenye; Osher, Stanley 18 2012 Quantitative photoacoustic tomography. Zbl 1345.92087Gao, Hao; Osher, Stanley; Zhao, Hongkai 14 2012 A convex model for nonnegative matrix factorization and dimensionality reduction on physical space. Zbl 1373.15021Esser, Ernie; Möller, Michael; Osher, Stanley; Sapiro, Guillermo; Xin, Jack 13 2012 Robust 1-bit compressive sensing using adaptive outlier pursuit. Zbl 1393.94723Yan, Ming; Yang, Yi; Osher, Stanley 11 2012 Efficient algorithm for level set method preserving distance function. Zbl 1373.94110Estellers, Virginia; Zosso, Dominique; Lai, Rongjie; Osher, Stanley; Thiran, Jean-Philippe; Bresson, Xavier 10 2012 Global minimization of Markov random fields with applications to optical flow. Zbl 1262.68174Goldstein, Tom; Bresson, Xavier; Osher, Stan 3 2012 A convex model and \(l_1\) minimization for musical noise reduction in blind source separation. Zbl 1271.65097Ma, Wenye; Osher, Stanley; Xin, Jack; Yu, Meng 1 2012 A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052Zhang, Xiaoqun; Burger, Martin; Osher, Stanley 114 2011 A local discontinuous Galerkin method for directly solving Hamilton-Jacobi equations. Zbl 1205.65271Yan, Jue; Osher, Stanley 37 2011 Multi-energy CT based on a prior rank, intensity and sparsity model (PRISM). Zbl 1230.92024Gao, Hao; Yu, Hengyong; Osher, Stanley; Wang, Ge 17 2011 Numerical methods for anisotropic mean curvature flow based on a discrete time variational formulation. Zbl 1273.35027Oberman, Adam; Osher, Stanley; Takei, Ryo; Tsai, Richard 10 2011 Template matching via \(l_1\) minimization and its application to hyperspectral data. Zbl 1217.65047Guo, Zhaohui; Osher, Stanley 1 2011 Split Bregman methods and frame based image restoration. Zbl 1189.94014Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 183 2010 Bregmanized nonlocal regularization for deconvolution and sparse reconstruction. Zbl 1191.94030Zhang, Xiaoqun; Burger, Martin; Bresson, Xavier; Osher, Stanley 115 2010 Geometric applications of the split Bregman method: segmentation and surface reconstruction. Zbl 1203.65044Goldstein, Tom; Bresson, Xavier; Osher, Stanley 74 2010 Image recovery via nonlocal operators. Zbl 1203.65088Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea 73 2010 Fast linearized Bregman iteration for compressive sensing and sparse denoising. Zbl 1190.49040Osher, Stanley; Mao, Yu; Dong, Bin; Yin, Wotao 47 2010 A fast hybrid algorithm for large-scale \(l_{1}\)-regularized logistic regression. Zbl 1242.62078Shi, Jianing; Yin, Wotao; Osher, Stanley; Sajda, Paul 8 2010 A new multiscale representation for shapes and its application to blood vessel recovery. Zbl 1221.92058Dong, Bin; Chien, Aichi; Shen, Zuowei; Osher, Stanley 6 2010 Development and optimization of regularized tomographic reconstruction algorithms utilizing equally-sloped tomography. Zbl 1371.94254Mao, Yu; Fahimian, Benjamin P.; Osher, Stanley J.; Miao, Jianwei 5 2010 Level set based brain aneurysm capturing in 3D. Zbl 1193.92052Dong, Bin; Chien, Aichi; Mao, Yu; Ye, Jian; Vinuela, Fernando; Osher, Stanley 1 2010 Crashing waves, awesome explosions, turbulent smoke, and beyond: applied mathematics and scientific computing in the visual effects industry. Zbl 1194.00008McAdams, Aleka; Osher, Stanley; Teran, Joseph 1 2010 ...and 193 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 13,727 Authors 204 Shu, Chi-Wang 136 Osher, Stanley Joel 82 Qiu, Jianxian 65 Dumbser, Michael 50 Tai, Xuecheng 48 Adams, Nikolaus A. 48 Gibou, Frédéric 47 Zhu, Jun 42 Huang, Ting-Zhu 39 Qian, Jianliang 38 Balsara, Dinshaw S. 38 Kang, Myungjoo 38 Wu, Boying 37 Burger, Martin 37 Xiao, Feng 36 Toro, Eleuterio Francisco 35 Chen, Ke 35 Ng, Michael Kwok-Po 35 Shen, Zuowei 33 Xu, Kun 32 Fedkiw, Ronald P. 32 Zeng, Tie Yong 31 Yuan, Xiaoming 31 Zhang, Mengping 30 Amat, Sergio P. 30 Bürger, Raimund 30 Khoo, Boo Cheong 30 Kim, Junseok 30 Liu, Hailiang 30 Mulet, Pep 30 Steidl, Gabriele 29 Leung, Shingyu 29 Tsai, Yen-Hsi Richard 28 Chambolle, Antonin 28 Munz, Claus-Dieter 28 Schönlieb, Carola-Bibiane 28 Yin, Wotao 27 Guo, Zhichang 27 Liu, Tiegang 25 Allaire, Grégoire 25 Du, Qiang 25 Hou, Thomas Yizhao 25 Li, Wuchen 25 Wei, Guowei 24 Dong, Bin 24 Kurganov, Alexander 24 Zhao, Xile 23 Sethian, James A. 23 Wang, Michael Yu 23 Wu, Chunlin 23 Zhao, Hongkai 22 Jin, Shi 22 Lowengrub, John Samuel 22 Ren, Yuxin 22 Ruuth, Steven J. 22 Scherzer, Otmar 21 Abgrall, Rémi 21 Bertozzi, Andrea Louise 21 Chan, Raymond Hon-Fu 21 Lou, Yifei 21 Shen, Lixin 21 Weickert, Joachim 21 Xin, Jack X. 21 Zhang, Yongtao 20 Dapogny, Charles 20 Don, Wai Sun 20 Li, Zhilin 20 Lv, Xiaoguang 20 Morigi, Serena 20 Xu, Yuesheng 20 Yang, Yang 20 Zhu, Wei 19 Caselles Costa, Vicent 19 Chan, Tony Fan-Cheong 19 Chandrashekar, Praveen 19 Cheng, Yingda 19 Dehghan Takht Fooladi, Mehdi 19 Gao, Zhen 19 Glowinski, Roland 19 Hintermüller, Michael 19 Ma, Shiqian 19 Merriman, Barry 19 Min, Chohong 19 Popov, Boyan 19 Tadmor, Eitan 19 Udaykumar, Holavanahalli S. 19 Zhang, Xiaoqun 18 Aràndiga, Francesc 18 Donat, Rosa 18 Gottlieb, Sigal 18 Liu, Yingjie 18 Oñate Ibáñez de Navarra, Eugenio 18 Qiu, Jingmei 18 Russo, Giovanni 18 Wang, Zhijian 17 Deng, Xi 17 Dong, Yiqiu 17 Falcone, Maurizio 17 Fu, Lin 17 Ha, Youngsoo ...and 13,627 more Authors all top 5 Cited in 558 Serials 2,009 Journal of Computational Physics 619 Journal of Scientific Computing 605 Computers and Fluids 365 Computer Methods in Applied Mechanics and Engineering 247 Journal of Mathematical Imaging and Vision 215 Journal of Computational and Applied Mathematics 210 Applied Mathematics and Computation 199 Computers & Mathematics with Applications 193 SIAM Journal on Imaging Sciences 192 Applied Numerical Mathematics 170 SIAM Journal on Scientific Computing 158 Mathematics of Computation 138 International Journal for Numerical Methods in Fluids 131 Journal of Fluid Mechanics 127 Applied Mathematical Modelling 125 Inverse Problems and Imaging 116 Inverse Problems 112 International Journal for Numerical Methods in Engineering 97 Communications in Computational Physics 92 Numerische Mathematik 86 Applied and Computational Harmonic Analysis 79 Mathematical Problems in Engineering 78 Physics of Fluids 75 SIAM Journal on Numerical Analysis 73 Journal of Mathematical Analysis and Applications 73 International Journal of Computational Fluid Dynamics 70 International Journal of Computer Vision 68 International Journal of Computer Mathematics 67 Numerical Algorithms 60 Advances in Computational Mathematics 58 Computational Mechanics 58 Computational Optimization and Applications 53 Journal of Differential Equations 49 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 45 Computational and Applied Mathematics 40 Inverse Problems in Science and Engineering 39 Journal of Optimization Theory and Applications 39 Pattern Recognition 38 Engineering Analysis with Boundary Elements 36 Advances in Applied Mathematics and Mechanics 35 Archive for Rational Mechanics and Analysis 35 Mathematics and Computers in Simulation 35 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 34 Numerical Methods for Partial Differential Equations 34 International Journal of Computational Methods 33 Multidimensional Systems and Signal Processing 33 Journal of Inverse and Ill-Posed Problems 33 Computational & Mathematical Methods in Medicine 32 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 32 Structural and Multidisciplinary Optimization 31 Multiscale Modeling & Simulation 29 Physica D 29 Applied Mathematics Letters 28 Applied Mathematics and Mechanics. (English Edition) 28 SIAM Journal on Mathematical Analysis 28 SIAM Journal on Optimization 27 Computational Geosciences 26 Applicable Analysis 26 SIAM Journal on Applied Mathematics 25 Communications in Partial Differential Equations 25 Mathematical Programming. Series A. 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Académie des Sciences, Paris 20 BIT 20 Optimization Methods & Software 20 Matematicheskoe Modelirovanie 20 Foundations of Computational Mathematics 19 Wave Motion 19 SIAM Journal on Control and Optimization 19 Communications in Nonlinear Science and Numerical Simulation 19 Archives of Computational Methods in Engineering 19 Communications on Applied Mathematics and Computation 18 Communications on Pure and Applied Mathematics 18 Numerical Functional Analysis and Optimization 18 Acta Mathematicae Applicatae Sinica. English Series 18 Computational Mathematics and Mathematical Physics 18 Discrete and Continuous Dynamical Systems. Series B 18 Journal of Applied Mathematics 18 Research in the Mathematical Sciences 17 Computer Physics Communications 17 International Journal of Numerical Methods for Heat & Fluid Flow 17 Computing and Visualization in Science 16 Communications in Numerical Methods in Engineering 16 Discrete and Continuous Dynamical Systems 16 Science China. Mathematics 15 Acta Mechanica 15 Journal of Mathematical Biology 15 Shock Waves ...and 458 more Serials all top 5 Cited in 56 Fields 5,521 Numerical analysis (65-XX) 3,983 Fluid mechanics (76-XX) 3,010 Partial differential equations (35-XX) 1,534 Information and communication theory, circuits (94-XX) 1,114 Computer science (68-XX) 974 Calculus of variations and optimal control; optimization (49-XX) 800 Operations research, mathematical programming (90-XX) 769 Mechanics of deformable solids (74-XX) 530 Biology and other natural sciences (92-XX) 317 Classical thermodynamics, heat transfer (80-XX) 286 Statistics (62-XX) 241 Statistical mechanics, structure of matter (82-XX) 214 Operator theory (47-XX) 195 Geophysics (86-XX) 184 Optics, electromagnetic theory (78-XX) 165 Differential geometry (53-XX) 131 Harmonic analysis on Euclidean spaces (42-XX) 126 Ordinary differential equations (34-XX) 119 Probability theory and stochastic processes (60-XX) 118 Systems theory; control (93-XX) 98 Approximations and expansions (41-XX) 94 Functional analysis (46-XX) 89 Global analysis, analysis on manifolds (58-XX) 87 Integral equations (45-XX) 86 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 80 Linear and multilinear algebra; matrix theory (15-XX) 76 Real functions (26-XX) 65 Dynamical systems and ergodic theory (37-XX) 46 Quantum theory (81-XX) 42 Mechanics of particles and systems (70-XX) 38 Combinatorics (05-XX) 38 Convex and discrete geometry (52-XX) 31 Integral transforms, operational calculus (44-XX) 31 Astronomy and astrophysics (85-XX) 21 Relativity and gravitational theory (83-XX) 17 General and overarching topics; collections (00-XX) 14 Measure and integration (28-XX) 14 Special functions (33-XX) 12 Potential theory (31-XX) 7 Functions of a complex variable (30-XX) 6 History and biography (01-XX) 6 Algebraic topology (55-XX) 6 Manifolds and cell complexes (57-XX) 5 Difference and functional equations (39-XX) 5 Geometry (51-XX) 4 Algebraic geometry (14-XX) 4 Abstract harmonic analysis (43-XX) 4 General topology (54-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Mathematics education (97-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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