Strong uniform stability and exact discretizations of a model singular perturbation problem and its finite-difference approximations

DOI10.1016/0096-3003(89)90135-5zbMath0681.65059OpenAlexW4247293256MaRDI QIDQ1823624

Eugene C. Gartland jun.

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0096-3003(89)90135-5

zbMATH Keywords

singular perturbationexact discretizationstrong uniform stabilityexact three-point schemes

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (4)

Ten ways to generate the Il'in and related schemes ⋮ An analytically oriented discretization technique for boundary value problems ⋮ Local exponentially fitted finite element schemes for singularly perturbed convection-diffusion problems ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations

Cites Work

• Die gleichmäßige Stabilität singulär gestörter diskreter und kontinuierlicher Randwertprobleme
• Graded-Mesh Difference Schemes for Singularly Perturbed Two-Point Boundary Value Problems
• Adaptivity and Error Estimation for the Finite Element Method Applied to Convection Diffusion Problems
• An Analysis of a Superconvergence Result for a Singularly Perturbed Boundary Value Problem
• Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem
• Strong Stability of Compact Discrete Boundary Value Problems via Exact Discretizations
• An Analysis of a Uniformly Convergent Finite Difference/Finite Element Scheme for a Model Singular-Perturbation Problem
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• An Analysis of a Uniformly Accurate Difference Method for a Singular Perturbation Problem
• Discrete Weighted Mean Approximation of a Model Convection-Diffusion Equation

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