Some remarks on an ODE-solver of Kirchgraber
type: Item
instance of: scholarly article
title: Some remarks on an ODE-solver of Kirchgraber
zbMATH Open document ID: 0749.65044
DOI: 10.1007/BF01385507
author: Sylvia Novo
author: Jesús Rojo
published in: Numerische Mathematik
publication date: 1992-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/133620
review text: An efficient modification of \textit{U. Kirchgraber's} integration procedure (LIPS-code) [ibid. 53, No. 6, 621-652 (1988; Zbl 0656.65072)] for long- term integration of \(x'=f(x)+\varepsilon g(x)\) is given. It is supposed that the system \(x'=f(x)\) has periodic solutions only.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 57574
zbMATH Keywords: dynamical systems
zbMATH Keywords: small parameter
zbMATH Keywords: Poincaré map
zbMATH Keywords: large step-size
zbMATH Keywords: method of averaging
zbMATH Keywords: long-term integration
zbMATH Keywords: periodic solutions
reviewed by: Miroslav Bartušek
MaRDI profile type: Publication
cites work: Numerical integration of products of Fourier and ordinary polynomials
cites work: On ODE-solver based on the method of averaging
OpenAlex ID: W2062461638
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description: scientific article; zbMATH DE number 57574