An Analysis of a Uniformly Convergent Finite Difference/Finite Element Scheme for a Model Singular-Perturbation Problem

DOI10.2307/2008581zbMath0657.65100OpenAlexW4243122148MaRDI QIDQ3805811

Eugene C. Gartland jun.

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2008581

zbMATH Keywords

stabilityfinite element methodfinite difference methoduniform convergencePetrov-Galerkin methodsingular-perturbation problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items

A diagonal preconditioner for singularly perturbed problems, Local exponentially fitted finite element schemes for singularly perturbed convection-diffusion problems, Global uniformly convergent schemes for a singularly perturbed boundary- value problem using patched base spline-functions, Strong uniform stability and exact discretizations of a model singular perturbation problem and its finite-difference approximations, A survey of numerical techniques for solving singularly perturbed ordinary differential equations

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