High-order multistep methods for boundary value problems
type: Item
instance of: scholarly article
title: High-order multistep methods for boundary value problems
zbMATH Open document ID: 0837.65081
DOI: 10.1016/0168-9274(95)00045-V
author: Luigi Brugnano
author: Donato Trigiante
published in: Applied Numerical Mathematics
publication date: 1995-01-01T00:00:00Z
review text: The use of boundary value methods for the numerical solution of two-point boundary value problems is investigated. The considered methods are high- order linear multistep methods that are unstable in the classical sense. Convergence is analyzed, when the method is applied to the scalar linear problem \(y'= \lambda y\), \(b_1 y(0)+ b_2 y(T)= \eta\). A series of numerical experiments illustrate the theoretically expected convergence rate.
reviewed by: Ernst Hairer
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 815813
zbMATH Keywords: convergence
zbMATH Keywords: boundary value methods
zbMATH Keywords: two-point boundary value problems
zbMATH Keywords: linear multistep methods
zbMATH Keywords: numerical experiments
MaRDI profile type: Publication
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full work available at URL: 0168-9274(95)00045-v
OpenAlex ID: W1983713680
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description: scientific article; zbMATH DE number 815813