Anti-diffusive high order WENO schemes for Hamilton-Jacobi equations

DOI10.4310/MAA.2005.V12.N2.A6zbMath1119.65378OpenAlexW2057582666MaRDI QIDQ871867

Chi-Wang Shu, Zhengfu Xu

Publication date: 27 March 2007

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.2005.v12.n2.a6

zbMATH Keywords

numerical examplesHamilton-Jacobi equationsfinite differenceviscosity solutionshigh order accuracyweighted essentially non-oscillatory (WENO) schemesanti-diffusive flux correctionHamiltonian correction

Mathematics Subject Classification ID

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

Related Items (5)

Construction of convergent high order schemes for time dependent Hamilton-Jacobi equations ⋮ Convergence of a proposed adaptive WENO scheme for Hamilton-Jacobi equations. ⋮ A convergent scheme for Hamilton-Jacobi equations on a junction: application to traffic ⋮ A high-resolution finite volume scheme based on optimal spectral properties of the fully discrete scheme with minimized dispersion and adaptive dissipation ⋮ A family of spatio-temporal optimized finite difference schemes with adaptive dispersion and critical-adaptive dissipation for compressible flows

This page was built for publication: Anti-diffusive high order WENO schemes for Hamilton-Jacobi equations