A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations

DOI10.1090/S0025-5718-02-01438-2zbMath1013.65088MaRDI QIDQ4780368

Yoshikazu Giga, Stanley J. Osher, Yen-Hsi Richard Tsai

Publication date: 19 November 2002

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

conservation lawsviscosity solutionHamilton-Jacobi equationsfinite difference methodsdiscontinuous solutionslevel setssingular diffusion\(L\)-solutionLax-Friedrichs methods

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hamilton-Jacobi equations in mechanics (70H20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

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