On optimally scaled systems for second-order scalar singularly perturbed problems

DOI10.1016/0096-3003(94)00091-HzbMath0821.65058OpenAlexW2086521740MaRDI QIDQ1805246

Leonid V. Kalachev, Robert M. M. Mattheij

Publication date: 11 May 1995

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

Full work available at URL: https://doi.org/10.1016/0096-3003(94)00091-h

zbMATH Keywords

first-order systemDirichlet problemsingular perturbationerror estimatesnumerical examplesconditioningboundary layersturning pointdichotomydifference methods

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items

A review on singularly perturbed differential equations with turning points and interior layers, A survey of numerical techniques for solving singularly perturbed ordinary differential equations

Cites Work

• Perturbation methods in applied mathematics
• Dichotomies in stability theory
• On Dichotomy and Well Conditioning in BVP
• Stability and Asymptotic Estimates in Nonautonomous Linear Differential Systems
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