Alternating Evolution Schemes for Hamilton--Jacobi Equations

DOI10.1137/120862806zbMath1270.65049OpenAlexW2063705864MaRDI QIDQ4917128

Michael Pollack, Haseena Saran, Hai-liang Liu

Publication date: 29 April 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1635f13997fbb0070a5c0644cbcfe0e47400853d

zbMATH Keywords

maximum principledifferential gamesviscosity solutionnumerical experimentsHamilton-Jacobi equationsLax-Friedrichs schemegeometrical opticsessentially non-oscillatorystrong stability preservingalternating evolution methodstotal-variation-diminishing Runge-Kutta methods

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Geometric optics (78A05) Hamilton-Jacobi equations (35F21) First-order hyperbolic equations (35L02)

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