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Computer Science
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2026
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Mathematics
USA
2026

D-Index & Metrics

Computer Science

D-Index
118
Citations
144046
World Ranking
154
National Ranking
90

Mathematics

D-Index
128
Citations
156375
World Ranking
7
National Ranking
5

Stanley Osher publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Stanley Osher sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 82 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 519 publications — 97th percentile

97% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Stanley Osher D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Stanley Osher sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 137 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 128 D-Index — 100th percentile

100% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2026 - Research.com Computer Science in United States Leader Award
  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Computer Science in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2022 - Research.com Computer Science in United States Leader Award
  • 2022 - Research.com Mathematics in United States Leader Award
  • 2018 - Member of the National Academy of Engineering For contributions to imaging, computer vision, and graphics including level-set methods and efficient compressed sensing.
  • 2013 - John von Neumann Lecturer
  • 2013 - Fellow of the American Mathematical Society
  • 2009 - SIAM Fellow For contributions to the numerical solution of partial differential equations, level set methods, and image processing.
  • 2009 - Fellow of the American Academy of Arts and Sciences
  • 2007 - THE J. TINSLEY ODEN MEDAL
  • 2005 - Member of the National Academy of Sciences
  • 1972 - Fellow of Alfred P. Sloan Foundation

Overview

Stanley Osher is affiliated with the University of California, Los Angeles in the United States. Their research primarily spans the fields of Computer Science and Engineering, with a significant focus on subfields such as Artificial Intelligence, Statistical and Nonlinear Physics, Computational Mechanics, Computer Vision and Pattern Recognition, and Applied Mathematics.

Their recent publications include several papers addressing topics in imaging, computational mathematics, and theoretical physics. Notable works are:

  • Determining the three-dimensional atomic structure of a metallic glass, 2020, arXiv (Cornell University)
  • Three-dimensional atomic packing in amorphous solids with liquid-like structure, 2021, Nature Materials
  • Alternating the Population and Control Neural Networks to Solve High-Dimensional Stochastic Mean-Field Games, 2020, arXiv (Cornell University)
  • Three-dimensional topological magnetic monopoles and their interactions in a ferromagnetic meta-lattice, 2023, Nature Nanotechnology
  • Potential of Attosecond Coherent Diffractive Imaging, 2020, Physical Review Letters

Frequent coauthors contributing to their body of work include Wuchen Li, Siting Liu, Samy Wu Fung, Minh Phạm, and Jianwei Miao.

Stanley Osher's research outputs have appeared repeatedly in specific venues, notably:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • SSRN Electronic Journal
  • Research in the Mathematical Sciences
  • Proceedings of the National Academy of Sciences

Thematically, their work covers a variety of topics, such as:

  • Model Reduction and Neural Networks
  • Mathematical Biology Tumor Growth
  • Advanced X-ray Imaging Techniques
  • Geometric Analysis and Curvature Flows
  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in inverse problems
  • Stochastic Gradient Optimization Techniques

Throughout their career, Stanley Osher has received several distinctions recognizing contributions to mathematical sciences and engineering. These include:

  • Member of the National Academy of Engineering (2018) for work in imaging, computer vision, and level-set methods
  • Fellow of the American Mathematical Society (2013)
  • John von Neumann Lecturer (2013)
  • SIAM Fellow (2009) for numerical solutions of partial differential equations and image processing
  • Fellow of the American Academy of Arts and Sciences (2009)
  • J. Tinsley Oden Medal (2007)
  • Member of the National Academy of Sciences (2005)
  • Fellow of Alfred P. Sloan Foundation (1972)

Best Publications

  • Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations

    Stanley Osher;James A. Sethian

  • Nonlinear total variation based noise removal algorithms

    Leonid I. Rudin;Stanley Osher;Emad Fatemi

  • Efficient implementation of essentially non-oscillatory shock-capturing schemes,II

    Chi-Wang Shu;Stanley Osher

  • Level Set Methods and Dynamic Implicit Surfaces

    Stanley Osher;Ronald Fedkiw

  • A level set approach for computing solutions to incompressible two-phase flow

    Mark Sussman;Peter Smereka;Stanley Osher

  • The Split Bregman Method for L1-Regularized Problems

    Tom Goldstein;Stanley Osher

  • Weighted essentially non-oscillatory schemes

    Xu-Dong Liu;Stanley Osher;Tony Chan

  • Efficient implementation of essentially non-oscillatory shock-capturing schemes, II

    Unknown

  • Uniformly high order accurate essentially non-oscillatory schemes, 111

    Unknown

  • A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method)

    Ronald P Fedkiw;Tariq Aslam;Barry Merriman;Stanley Osher

  • Level set methods: an overview and some recent results

    Stanley Osher;Ronald P. Fedkiw

  • Minimization of Region-Scalable Fitting Energy for Image Segmentation

    Chunming Li;Chiu-Yen Kao;J.C. Gore;Zhaohua Ding

  • An Iterative Regularization Method for Total Variation-Based Image Restoration

    Stanley J. Osher;Martin Burger;Donald Goldfarb;Jinjun Xu

  • Simultaneous structure and texture image inpainting

    M. Bertalmio;L. Vese;G. Sapiro;S. Osher

  • Regular Article: A PDE-Based Fast Local Level Set Method

    Danping Peng;Barry Merriman;Stanley Osher;Hongkai Zhao

  • Bregman Iterative Algorithms for $ll_1$-Minimization with Applications to Compressed Sensing

    Wotao Yin;Stanley Osher;Donald Goldfarb;Jerome Darbon

  • Nonlocal Operators with Applications to Image Processing

    Guy Gilboa;Stanley J. Osher

  • A Variational Level Set Approach to Multiphase Motion

    Hong-Kai Zhao;T. Chan;B. Merriman;S. Osher

  • Uniformly high-order accurate nonoscillatory schemes

    Ami Harten;Stanley Osher

  • A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows

    Y.C. Chang;T.Y. Hou;B. Merriman;S. Osher

  • An improved level set method for incompressible two-phase flows

    Mark Sussman;Emad Fatemi;Peter Smereka;Stanley Osher

  • Upwind difference schemes for hyperbolic systems of conservation laws

    Stanley Osher;Fred Solomon

  • Algorithms Based on Hamilton-Jacobi Formulations

    Stanley Osher;James A. Sethian

Frequent Co-Authors

Ronald Fedkiw
Ronald Fedkiw Stanford University
Wotao Yin
Wotao Yin Alibaba Group (China)
Andrea L. Bertozzi
Andrea L. Bertozzi University of California, Los Angeles
Martin Burger
Martin Burger University of Erlangen-Nuremberg
Russel E. Caflisch
Russel E. Caflisch Courant Institute of Mathematical Sciences
Tony F. Chan
Tony F. Chan University of California, Los Angeles
Jack Xin
Jack Xin University of California, Irvine
Björn Engquist
Björn Engquist The University of Texas at Austin
Guillermo Sapiro
Guillermo Sapiro Princeton University
Hongkai Zhao
Hongkai Zhao Duke University

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