NUMERICAL APPROXIMATION OF VISCOSITY SOLUTIONS OF FIRST-ORDER HAMILTON-JACOBI EQUATIONS WITH NEUMANN TYPE BOUNDARY CONDITIONS

DOI10.1142/S0218202592000223zbMath0764.65052OpenAlexW2095391250MaRDI QIDQ4025792

Elisabeth Rouy

Publication date: 18 February 1993

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202592000223

zbMATH Keywords

convergenceerror estimatesviscosity solutionCauchy problemfinite difference schemesfirst-order Hamilton-Jacobi equationsNeumann type boundary conditions

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) Hamilton-Jacobi equations in mechanics (70H20)

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Shape-from-shading, viscosity solutions and edges ⋮ Numerical simulation of two-dimensional Pucci's equation with Dirichlet boundary conditions using nonvariational finite element method ⋮ Approximation of control problems involving ordinary and impulsive controls ⋮ A semi-Lagrangian scheme for Hamilton-Jacobi-Bellman equations with oblique derivatives boundary conditions ⋮ Convergence \& rates for Hamilton-Jacobi equations with Kirchoff junction conditions

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