World's Best Scientists 2026 revealed!
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Computer Science
USA
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

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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