The Richardson method for increasing the accuracy of grid solutions of singularly perturbed elliptic equations of convection-diffusion

zbMath1173.65344MaRDI QIDQ1022268

G. I. Shishkin

Publication date: 10 June 2009

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemsingular perturbationerror estimatesuniform convergenceRichardson methodelliptic equationmonotone difference scheme

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

Difference scheme of highest accuracy order for a singularly perturbed reaction-diffusion equation based on the solution decomposition method ⋮ Difference Schemes of High Accuracy Order on Uniform Grids for a Singularly Perturbed Parabolic Reaction-Diffusion Equation ⋮ A higher order accurate solution decomposition scheme for a singularly perturbed parabolic reaction-diffusion equation

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