Remarks on energy methods for structure-preserving finite difference schemes -- small data global existence and unconditional error estimate
type: Item
instance of: scholarly article
title: Remarks on energy methods for structure-preserving finite difference schemes -- small data global existence and unconditional error estimate
zbMATH Open document ID: 1428.74223
author: S. Yoshikawa
published in: Applied Mathematics and Computation
publication date: 2019-11-22T00:00:00Z
Mathematics Subject Classification ID: 74S20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 7135198
zbMATH Keywords: finite difference method
zbMATH Keywords: structure-preserving numerical schemes
zbMATH Keywords: semilinear evolution equation
zbMATH Keywords: existence of solution
zbMATH Keywords: small data global existence
zbMATH Keywords: unconditional error estimate
MaRDI profile type: Publication
full work available at URL: j.amc.2018.08.030
OpenAlex ID: W2891262727
cites work: Q4255122
cites work: Q4217277
cites work: Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field'' method
cites work: Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme
cites work: Two energy conserving numerical schemes for the sine-Gordon equation
cites work: A stable and conservative finite difference scheme for the Cahn-Hilliard equation
cites work: Geometric Numerical Integration
cites work: Global Dissipativity for A-Stable Methods
cites work: Q4039929
cites work: Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
cites work: Analytic semigroups and optimal regularity in parabolic problems
cites work: Numerical integration of the Ostrovsky equation based on its geometric structures
cites work: Q4315882
cites work: Energy method for structure-preserving finite difference schemes and some properties of difference quotient
cites work: An error estimate for structure-preserving finite difference scheme for the Falk model system of shape memory alloys
Wikidata QID: Q129207075
DOI: 10.1016/J.AMC.2018.08.030
description: scientific article; zbMATH DE number 7135198