Galerkin method for the determination of periodic and quasiperiodic solutions of nonlinear systems of differential equations
type: Item
instance of: scholarly article
title: Galerkin method for the determination of periodic and quasiperiodic solutions of nonlinear systems of differential equations
zbMATH Open document ID: 0544.34036
DOI: 10.1007/BF01056235
author: V. A. Mal'kov
published in: Ukrainian Mathematical Journal
publication date: 1983-01-01T00:00:00Z
review text: For the vector differential equation (1) \(dx(t)/dt=X(t,x(t))\) in which the right hand-side is 2\(\pi\)-periodic in t a modification of Galerkin method for determining periodic and quasi-periodic solutions is suggested. This modification is able to accelerate the convergence of the Galerkin approximation to exact solutions. The author investigates the dependence between the approximation convergence speed and the smoothness of the right-hand side of system (1).
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C27
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 3865746
zbMATH Keywords: vector differential equation
zbMATH Keywords: Galerkin method
zbMATH Keywords: Galerkin approximation
MaRDI profile type: Publication
cites work: Q5680439
cites work: Q3939125
full work available at URL: https://doi.org/10.1007/bf01056235
OpenAlex ID: W2004025961
description: scientific article; zbMATH DE number 3865746