A local piecewise parabolic method for Hamilton--Jacobi equations

DOI10.1016/S0168-9274(02)00211-8zbMath1022.65098MaRDI QIDQ1811704

Youssef Stiriba

Publication date: 17 June 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical experimentslocal smoothinglocal piecewise parabolic methodnonlinear Hamilton-Jacobi equations

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

A monotone scheme for Hamilton-Jacobi equations via the nonstandard finite difference method

Cites Work

• Uniformly high order accurate essentially non-oscillatory schemes. III
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations
• A study of numerical methods for hyperbolic conservation laws with stiff source terms
• Two Approximations of Solutions of Hamilton-Jacobi Equations
• Viscosity Solutions of Hamilton-Jacobi Equations
• High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
• Local Piecewise Hyperbolic Reconstruction of Numerical Fluxes for Nonlinear Scalar Conservation Laws
• Weighted ENO Schemes for Hamilton--Jacobi Equations
• High-Resolution Nonoscillatory Central Schemes for Hamilton--Jacobi Equations
• Equilibrium real gas computations using Marquina's scheme