Adaptive central-upwind schemes for Hamilton-Jacobi equations with nonconvex Hamiltonians

DOI10.1007/s10915-005-9033-0zbMath1115.65093OpenAlexW1998857370MaRDI QIDQ2502069

Alexander Kurganov, Guergana Petrova

Publication date: 12 September 2006

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-005-9033-0

zbMATH Keywords

Hamilton-Jacobi equationsWENO reconstructionnonconvex Hamiltoniancentral-upwind schemesgeneralized minmod limiter

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Convex ENO schemes for Hamilton-Jacobi equations ⋮ An alternative formulation of discontinous Galerkin schemes for solving Hamilton-Jacobi equations ⋮ Construction of convergent high order schemes for time dependent Hamilton-Jacobi equations ⋮ Convergence of a proposed adaptive WENO scheme for Hamilton-Jacobi equations. ⋮ Mapped WENO and weighted power ENO reconstructions in semi-discrete central schemes for Hamilton-Jacobi equations ⋮ A limiting strategy for the back and forth error compensation and correction method for solving advection equations

Cites Work

• Unnamed Item
• Viscosity solutions and applications. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME), Montecatini Terme, Italy, June 12-20, 1995
• High-order semi-discrete central-upwind schemes for multi-dimensional Hamilton-Jacobi equations
• New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Strong Stability-Preserving High-Order Time Discretization Methods
• Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
• Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws
• On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws
• Weighted ENO Schemes for Hamilton--Jacobi Equations
• Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations