Simple adaptive grids for 1-D initial value problems
type: Item
instance of: scholarly article
title: Simple adaptive grids for 1-D initial value problems
zbMATH Open document ID: 0607.76041
DOI: 10.1016/0021-9991(87)90161-6
published in: Journal of Computational Physics
publication date: 1987-01-01T00:00:00Z
review text: In solving one-dimensional initial value problems by implicit finite difference methods it is advantageous to use an adaptive grid to provide local regions of high resolution and allow larger time steps to be taken. A simple method of constructing such grids is presented and the benefits are demonstrated by calculations of Sod's shock tube problem [\textit{G. A. Sod}, ibid. 27, 1-31 (1978; Zbl 0387.76063)] and of a supernova explosion.
Mathematics Subject Classification ID: 76E20
Mathematics Subject Classification ID: 76E25
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 85A05
zbMATH DE Number: 3982765
zbMATH Keywords: one-dimensional initial value problems
zbMATH Keywords: implicit finite difference methods
author: Ernst A. Dorfi
author: Luke O. C. Drury
describes a project that uses: REDUCE
MaRDI profile type: Publication
full work available at URL: 0021-9991(87)90161-6
OpenAlex ID: W2088079156
Wikidata QID: Q58046752
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description: scientific article; zbMATH DE number 3982765