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Stanley Osher

Researcher at University of California, Los Angeles

Publications -  549
Citations -  112414

Stanley Osher is an academic researcher from University of California, Los Angeles. The author has contributed to research in topics: Level set method & Computer science. The author has an hindex of 114, co-authored 510 publications receiving 104028 citations. Previous affiliations of Stanley Osher include University of Minnesota & University of Innsbruck.

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Algorithms for Overcoming the Curse of Dimensionality for Certain Hamilton-Jacobi Equations Arising in Control Theory and Elsewhere

TL;DR: This work proposes and test methods for solving a large class of the HJ PDE relevant to optimal control problems without the use of grids or numerical approximations and develops a new and equally fast way to find the closest point y lying in the union of a finite number of compact convex sets.
Journal Article

A Fast Hybrid Algorithm for Large-Scale l 1 -Regularized Logistic Regression

TL;DR: A novel hybrid algorithm based on combining two types of optimization iterations: one being very fast and memory friendly while the other being slower but more accurate is proposed, which has global convergence at a geometric rate (a Q-linear rate in optimization terminology).
Journal ArticleDOI

A level set method for thin film epitaxial growth

TL;DR: A level set based numerical algorithm for simulating a model of epitaxial growth is presented and the details of the numerical method used to simulate the island dynamics model are emphasized.
Book ChapterDOI

Numerical Solution of Singular Perturbation Problems and Hyperbolic Systems of Conservation Laws

TL;DR: In this article, simple upwind finite difference and element methods approximating nonlinear partial differential equations have been developed to approximate general systems of nonlinear hyperbolic conservation laws, nonlinear singular perturbation problems, and particular physical problems involving the equations of compressible fluid dynamics.