A higher-order method for stationary shock problems

DOI10.1016/S0096-3003(99)00011-9zbMath1022.65085MaRDI QIDQ1569152

Relja Vulanović

Publication date: 25 June 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

singular perturbationquasilinear boundary value problemsequidistant finite-difference methodstationary shock problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (2)

Limitations of Richardson's extrapolation for a high order fitted mesh method for self-adjoint singularly perturbed problems ⋮ On Richardson extrapolation for fitted operator finite difference methods

Cites Work

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• Some improvements of the nonequidistant Engquist-Osher scheme
• Some switching schemes for quasilinear singular perturbation problems
• Matched asymptotic expansions. Ideas and techniques
• Numerical solution of quasilinear attractive turning point problems
• Analysis of Difference Schemes for a Stationary Shock Problem
• Continuous and numerical analysis of a boundary shock problem
• Nonlinear Singular Perturbation Problems and One Sided Difference Schemes
• An L¹‐Stable Scheme for Linear Turning Point Problems

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