A discretization scheme for some conservative problems
type: Item
instance of: scholarly article
title: A discretization scheme for some conservative problems
zbMATH Open document ID: 0948.65058
DOI: 10.1016/S0377-0427(99)00115-6
author: M. A. Salanova
author: J. A. Ezquerro
author: M. A. Hernández
published in: Journal of Computational and Applied Mathematics
publication date: 2000-06-07T00:00:00Z
review text: For solving differential equations of the form \(m\frac{d^{2} x(t)}{dt^{2}}+h(x(t))=0\) the authors suggest a discretization method with subsequent applying a Newton-like method given by the equalities \[ 0=F(x_{n})+F'(x_{n})(y_{n}-x_{n}), \] \[ 0=F(x_{n})+F(y_{n})+F'(x_{n})(x_{n+1}-x_{n}), \quad n=1,2,3,\dots \]
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 1423317
zbMATH Keywords: nonlinear differential equations in Banach space
zbMATH Keywords: discretization scheme
zbMATH Keywords: Newton-like method
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
cites work: Q5790553
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cites work: Remark on the convergence of the midpoint method under mild differentiability conditions
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full work available at URL: s0377-0427(99)00115-6
OpenAlex ID: W2066091055
description: scientific article; zbMATH DE number 1423317