Sufficient conditions for uniformly second-order convergent schemes for stiff initial-value problems
type: Item
instance of: scholarly article
title: Sufficient conditions for uniformly second-order convergent schemes for stiff initial-value problems
zbMATH Open document ID: 0770.65043
DOI: 10.1016/0898-1221(92)90023-B
author: S. Singh
publication date: 1993-02-22T00:00:00Z
review text: Stiff initial value problems for ordinary differential equations with small coefficients at the first order derivatives are considered. The convergence properties of a class of second order exponentially fitted difference schemes are investigated. Sufficient conditions for uniform second-order convergence of numerical solutions are derived. The application of several difference schemes to a number of test problems is described to complement the analytical results. A practical way to estimate the orders of uniform convergence is suggested.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34E13
zbMATH DE Number: 120304
zbMATH Keywords: Stiff initial value problems
zbMATH Keywords: convergence
zbMATH Keywords: second order exponentially fitted difference schemes
zbMATH Keywords: uniform second-order convergence
zbMATH Keywords: test problems
zbMATH Keywords: uniform convergence
reviewed by: A. I. Tolstykh
MaRDI profile type: Publication
cites work: Q4749125
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cites work: Q5719651
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 120304