An adaptive moving grid method for one-dimensional systems of partial differential equations
type: Item
instance of: scholarly article
title: An adaptive moving grid method for one-dimensional systems of partial differential equations
zbMATH Open document ID: 0675.65098
DOI: 10.1016/0021-9991(89)90058-2
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://ir.cwi.nl/pub/1682
review text: A fully adaptive moving grid method for solving initial-boundary value problems for systems of one-space dimensional partial differential equations whose solutions exhibit rapid variations in space and time are described. The finite-difference, moving grid Lagrangian method developed in this paper is designed for the computation of solutions containing very sharp spatial and temporal transitions. The method allows the use of different moving grids for different components in the PDE system. Numerical experiments are presented for a set of five sample problems.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 39A70
Mathematics Subject Classification ID: 35L30
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 4106198
zbMATH Keywords: fully adaptive moving grid method
zbMATH Keywords: Lagrangian method
zbMATH Keywords: Numerical experiments
author: J. G. Verwer
author: J. G. Blom
author: Jesús María Sanz-Serna
describes a project that uses: NAG
describes a project that uses: nag
MaRDI profile type: Publication
OpenAlex ID: W2144774510
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description: scientific article; zbMATH DE number 4106198