scientific article; zbMATH DE number 1505506

zbMath1034.65506MaRDI QIDQ4504291

G. I. Shishkin

Publication date: 13 September 2000

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zbMATH Keywords

small parameteruniform convergenceDirichlet problemssingular perturbationsboundary-value problemboundary layerfinite difference schemesparabolic equationsfitted operator methods

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) 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) Initial value problems for second-order parabolic equations (35K15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Fitted mesh method for singularly perturbed reaction-convection-diffusion problems with boundary and interior layers ⋮ Conditioning and stability of finite difference schemes on uniform meshes for a singularly perturbed parabolic convection-diffusion equation

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