Error estimates for a finite difference scheme associated with Hamilton-Jacobi equations on a junction

DOI10.1007/s00211-019-01043-9zbMath1419.65020arXiv1502.07158OpenAlexW1817312559WikidataQ127855612 ScholiaQ127855612MaRDI QIDQ2424847

Marwa Koumaiha, Jessica Guerand

Publication date: 25 June 2019

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.07158

zbMATH Keywords

viscosity solutionHamilton-Jacobi equations

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Hamilton-Jacobi equations (35F21)

Related Items (7)

Effective nonlinear Neumann boundary conditions for 1D nonconvex Hamilton-Jacobi equations ⋮ Flux-limited solutions and state constraints for quasi-convex Hamilton-Jacobi equations in multidimensional domains ⋮ Approximation of the Value Function for Optimal Control Problems on Stratified Domains ⋮ Concentration in Lotka-Volterra parabolic equations: an asymptotic-preserving scheme ⋮ A Semi-Lagrangian Scheme for Hamilton--Jacobi--Bellman Equations on Networks ⋮ Convergence \& rates for Hamilton-Jacobi equations with Kirchoff junction conditions ⋮ A general comparison principle for Hamilton Jacobi Bellman equations on stratified domains

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