Higher order uniformly convergent methods for singular perturbation problems

DOI10.1016/S0045-7825(94)80033-2zbMath0824.65079OpenAlexW1983954837MaRDI QIDQ1892471

Hans-Goerg Roos

Publication date: 16 November 1995

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(94)80033-2

zbMATH Keywords

singular perturbationfinite difference methodhigh order uniform convergence

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

Ten ways to generate the Il'in and related schemes ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations

Cites Work

• Die gleichmäßige Stabilität singulär gestörter diskreter und kontinuierlicher Randwertprobleme
• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
• Global uniformly convergent schemes for a singularly perturbed boundary- value problem using patched base spline-functions
• Defect correction methods for convection dominated convection-diffusion problems
• Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem
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