Improved numerical integration of perturbed oscillators via average
type: Item
instance of: scholarly article
title: Improved numerical integration of perturbed oscillators via average
zbMATH Open document ID: 0931.65073
DOI: 10.1016/S0096-3003(97)10181-3
author: J. M. Farto
author: Pablo Martín
published in: Applied Mathematics and Computation
publication date: 2000-02-23T00:00:00Z
review text: Devoting special attention to oscillatory problems, the present paper addresses the improvement of numerical integration results provided by general purpose codes and by special algorithms. This technique based on the Kryloff-Bogoliuboff method allows us to perform some preconditioning work on the differential equations governing the dynamics of the problem in order to obtain better results when we use a general purpose code, such as Runge-Kutta or Adams methods. The authors reduce the error growth in the long-term integration with special numerical methods by using the improved frequency provided by the first approximation of \textit{N. Kryloff} and \textit{N. Bogoliuboff} [Introduction to nonlinear mechanics, Princeton Univ. Press, Princeton, NJ (1947; MR 4.142)]. Numerical examples are given.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 1311109
zbMATH Keywords: numerical examples
zbMATH Keywords: oscillatory problems
zbMATH Keywords: Kryloff-Bogoliuboff method
zbMATH Keywords: preconditioning
zbMATH Keywords: long-term integration
reviewed by: Pavol Chocholatý
MaRDI profile type: Publication
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full work available at URL: s0096-3003(97)10181-3
OpenAlex ID: W1970616601
description: scientific article; zbMATH DE number 1311109