Algebraic scheme of discrete approximations of linear and nonlinear dynamical systems of mathematical physics
type: Item
instance of: scholarly article
title: Algebraic scheme of discrete approximations of linear and nonlinear dynamical systems of mathematical physics
zbMATH Open document ID: 0683.35083
DOI: 10.1007/BF01057202
published in: Ukrainian Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: An algebraic approach is studied to exact discrete approximations of the dynamical system \[ u_ t=K(t_ ix,\partial)u+f(t,x), \] based on the theory of linear representations of finite-dimensional Lie algebras.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 65N99
Mathematics Subject Classification ID: 17B10
zbMATH DE Number: 4118848
zbMATH Keywords: nonlinear dynamical systems
zbMATH Keywords: algebraic scheme
zbMATH Keywords: discrete approximations
zbMATH Keywords: dynamical systems
author: Yu. A. Mitropol'skij
author: A. K. Prykarpats'kyi
author: Valeriy H. Samoylenko
MaRDI profile type: Publication
cites work: Q3910965
cites work: Q4169288
cites work: Q5536978
cites work: Isospectral matrices and classical polynomials
full work available at URL: https://doi.org/10.1007/bf01057202
OpenAlex ID: W2030291900
description: scientific article; zbMATH DE number 4118848