A new mesh selection strategy for ODEs
type: Item
instance of: scholarly article
title: A new mesh selection strategy for ODEs
zbMATH Open document ID: 0880.65066
DOI: 10.1016/S0168-9274(97)00007-X
author: Luigi Brugnano
author: Donato Trigiante
published in: Applied Numerical Mathematics
publication date: 1998-02-02T00:00:00Z
review text: A new mesh selection strategy for boundary value problems of ordinary differential equations (ODEs) is proposed which utilizes a monitor function based on the conditioning properties of the continuous problem. The numerical methods applied to test the reliability of the strategy are symmetric linear multistep formulae used as boundary value methods. Some numerical examples are considered making use of the trapezoidal rule and the mesh selection strategy previously described, which show the effectiveness of this strategy for different kinds of problems.
reviewed by: Zbigniew Dżygadło
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 1036638
zbMATH Keywords: mesh selection strategy
zbMATH Keywords: symmetric linear multistep formulae
zbMATH Keywords: boundary value methods
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1036638