Generalization of the Störmer method for perturbed oscillators without explicit first derivatives
type: Item
instance of: scholarly article
title: Generalization of the Störmer method for perturbed oscillators without explicit first derivatives
zbMATH Open document ID: 0958.65087
DOI: 10.1016/S0377-0427(99)00136-3
author: David J. López
author: Pablo Martín
author: J. M. Farto
published in: Journal of Computational and Applied Mathematics
publication date: 2001-04-10T00:00:00Z
review text: This paper is concerned with the numerical treatment of perturbed oscillators. A new family of multistep methods is developed that avoid the calculation of the first derivative. The new methods generalize the Störmer and Cowell codes and have the same leading error terms as the Bettis codes [cf. \textit{D. G. Bettis}, Numer. Math. 14, 421-434 (1970; Zbl 0198.49601)]. Numerical experiments and comparisons show the good behaviour of the presented methods.
reviewed by: Rudolf Scherer
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 1398823
zbMATH Keywords: multistep methods
zbMATH Keywords: Störmer method
zbMATH Keywords: perturbed oscillator
zbMATH Keywords: error bounds
zbMATH Keywords: numerical experiments
MaRDI profile type: Publication
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full work available at URL: s0377-0427(99)00136-3
OpenAlex ID: W2014965421
description: scientific article; zbMATH DE number 1398823