Uniform numerical methods on arbitrary meshes for singularly perturbed problems with discontinuous data

DOI10.1016/S0096-3003(03)00751-3zbMath1057.65045MaRDI QIDQ1883184

Igor P. Boglaev

Publication date: 1 October 2004

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

zbMATH Keywords

convergencesingular perturbationnumerical experimentsdifference schemeboundary value problemupwind schemenonuniform mesh

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Asymptotic solution of a linear-quadratic problem with discontinuous coefficients and cheap control ⋮ A uniformly convergent method for a singularly perturbed semilinear reaction-diffusion problem with discontinuous data ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ A high-order exponential scheme for solving 1D unsteady convection-diffusion equations ⋮ An exponential high‐order compact ADI method for 3D unsteady convection–diffusion problems ⋮ A fast singly diagonally implicit runge–kutta method for solving 1D unsteady convection‐diffusion equations ⋮ Numerical method for a singularly perturbed convection-diffusion problem with delay

Cites Work

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• A variational difference scheme for a boundary value problem with a small parameter in the highest derivative
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