scientific article; zbMATH DE number 4119553
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Publication:4733343
zbMath0683.65086MaRDI QIDQ4733343
Publication date: 1989
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Dirichlet problemsmall parameteruniform convergencedifference schemesperiodic boundary value problemsingularly perturbed boundary value problemssweeping methodparabolic boundary layer
Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)
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Necessary \(L^ 2\)-uniform convergence conditions for difference schemes for two-dimensional convection-diffusion problems ⋮ On finite difference fitted schemes for singularly perturbed boundary value problems with a parabolic boundary layer ⋮ The use of solutions on embedded grids for the approximation of singularly perturbed parabolic convection-diffusion equations on adapted grids ⋮ Grid approximation for the solution of the singularly perturbed heat equation with concentrated capacity
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