Discrete evolutions: Convergence and applications
type: Item
instance of: scholarly article
title: Discrete evolutions: Convergence and applications
zbMATH Open document ID: 0823.65064
author: E. Bohl
author: Johannes Schropp
published in: Applications of Mathematics
publication date: 1995-10-08T00:00:00Z
full work available at URL: https://eudml.org/doc/15754
review text: A convergence result is proved for a time discrete process of the form \[ x(t + h) - x(t) = h V (h, x(t + \alpha_ 1 (t) h), \dots, x(t + \alpha_ L (t) h)), \] \(t = T + jh\), \(j = 0, \dots, \sigma(h) - 1\) under weak conditions on the function \(V\). Furthermore, the applications to minimization problems, boundary value problems and systems of nonlinear equations are discussed.
reviewed by: Costică Moroşanu
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65Q05
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 519750
zbMATH Keywords: discrete evolutions
zbMATH Keywords: convergence
zbMATH Keywords: time discrete process
zbMATH Keywords: systems of nonlinear equations
MaRDI profile type: Publication
cites work: The Solution of Nonlinear Systems of Equations by A-Stable Integration Techniques
cites work: Q3925832
cites work: Q3786314
cites work: On the Convergence of Time‐Discrete Processes
cites work: Q3908199
cites work: Convergence and stability in the numerical integration of ordinary differential equations
cites work: Q3702408
cites work: Q4739659
cites work: Q5663333
cites work: Simple mathematical models with very complicated dynamics
cites work: Q5652137
cites work: Q4306848
description: scientific article; zbMATH DE number 519750