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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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Time-Optimal Collaborative Guidance Using the Generalized Hopf Formula
TL;DR: In this paper, the authors proposed a new method for calculating the time-optimal guidance control for a multiple vehicle pursuit-evasion system, where a joint differential game of k pursuing vehicles relative to the evader is constructed, and a Hamilton-Jacobi-Isaacs (HJI) equation that describes the evolution of the value function is formulated.
Proceedings ArticleDOI
A Hamilton-Jacobi Formulation for Time-Optimal Paths of Rectangular Nonholonomic Vehicles
TL;DR: In this article, the authors address the problem of optimal path planning for a Dubins-type nonholonomic vehicle in the presence of obstacles and present a Hamilton-Jacobi formulation of the problem that resolves time-optimal paths and considers the geometry of the vehicle.
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A primal-dual approach for solving conservation laws with implicit in time approximations
TL;DR: A novel framework for the numerical solution of time-dependent conservation laws with implicit schemes via primal-dual hybrid gradient methods and overcomes the restriction on the mesh size in time by explicit schemes from Courant–Friedrichs–Lewy conditions.
A level set approach for computing discontinuous solutions of a class of Hamilton-Jacobi equations
TL;DR: In this paper, two types of finite difference methods were introduced to compute the Lsolution and proper viscosity solution for semi-discontinuous solutions to a class of Hamilton-Jacobi equations.
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A Crystal Symmetry-invariant Kobayashi–Warren–Carter Grain Boundary Model and Its Implementation Using a Thresholding Algorithm
TL;DR: In this paper, a unified framework to study the coevolution of grain boundaries with bulk plasticity is developed, which is based on modeling grain boundaries as continuum dislocations governed by an energy based on the Kobayashi-Warren-Carter model.