A \(C^ 1\) interpolant for codes based on backward differentiation formulae
type: Item
instance of: scholarly article
title: A \(C^ 1\) interpolant for codes based on backward differentiation formulae
zbMATH Open document ID: 0615.65077
DOI: 10.1016/0168-9274(86)90020-6
published in: Applied Numerical Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The objective of this work is to produce a \(C^ 1\) interpolant for a fixed-step backward differentiation formula with interpolatory step changing, with particular reference to a code which is released in the NAG Library. Although the method essentially consists of augmenting the usual Nordsieck vector, the author shows that it is unnecessary to form this directly, since the correction to the normal vector can be calculated in the interpolation routine. Numerical examples are presented to illustrate the continuity achieved in practice.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 3997056
zbMATH Keywords: fixed-step backward differentiation formula
zbMATH Keywords: NAG Library
zbMATH Keywords: Nordsieck vector
zbMATH Keywords: Numerical examples
author: M. Berzins
describes a project that uses: SPRINT2D
describes a project that uses: DASSL
MaRDI profile type: Publication
full work available at URL: 0168-9274(86)90020-6
OpenAlex ID: W4248553616
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description: scientific article; zbMATH DE number 3997056