Efficient fourth order P-stable formulae
type: Item
instance of: scholarly article
title: Efficient fourth order P-stable formulae
zbMATH Open document ID: 0632.65087
DOI: 10.1007/BF01937279
author: B. George
published in: BIT
publication date: 1987-01-01T00:00:00Z
review text: The author considers a family of fourth order P-stable methods applied to the initial value problem of a nonlinear second order differential system; they give rise to a nonlinear algebraic system at each step which is solvable by a modified Newton method. He derives methods which require only two (new) function evaluations per iteration and for which the iteration matrix is a true real perfect square. Computation problems are discussed, comparation with seven numerical methods are included, and many other methods mentioned.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4028793
zbMATH Keywords: comparison of methods
zbMATH Keywords: oscillation problems
zbMATH Keywords: P-stability
zbMATH Keywords: nonlinear second order differential system
zbMATH Keywords: Newton method
reviewed by: Antonio de Castro
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01937279
OpenAlex ID: W39179816
description: scientific article; zbMATH DE number 4028793