Central difference schemes and stiff boundary value problems
type: Item
instance of: scholarly article
title: Central difference schemes and stiff boundary value problems
zbMATH Open document ID: 0558.65057
DOI: 10.1007/BF01934914
published in: BIT
publication date: 1984-01-01T00:00:00Z
review text: Under rather restrictive assumptions, the author shows that the solutions to the two-point boundary value problem for a stiff system of ordinary differential equations using centered approximations converge to the solution of the differential equations, provided a certain homogeneous system of differential equations has only the trivial solution. The situation is unclear if these assumptions are not satisfied, one of which is that the original system has no turning points. The analysis concerns methods based on both the trapezoidal rule and implicit Runge-Kutta schemes.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 3890649
zbMATH Keywords: convergence
zbMATH Keywords: stiff system
zbMATH Keywords: centered approximations
zbMATH Keywords: implicit Runge-Kutta schemes
author: Heinz-Otto Kreiss
MaRDI profile type: Publication
cites work: Collocation for Singular Perturbation Problems I: First Order Systems with Constant Coefficients
cites work: Difference Methods for Stiff Ordinary Differential Equations
cites work: Difference Approximations for Boundary and Eigenvalue Problems for Ordinary Differential Equations
cites work: An Analysis of the Box and Trapezoidal Schemes for Linear Singularly Perturbed Boundary Value Problems
cites work: On some difference schemes for singular singularly-perturbed boundary value problems
full work available at URL: https://doi.org/10.1007/bf01934914
OpenAlex ID: W2023583745
description: scientific article; zbMATH DE number 3890649