On alternating segment Crank-Nicolson scheme
type: Item
instance of: scholarly article
title: On alternating segment Crank-Nicolson scheme
zbMATH Open document ID: 0806.65083
DOI: 10.1016/0167-8191(94)90123-6
author: Wenzhi Li
author: Bao-Lin Zhang
published in: Parallel Computing
publication date: 1995-02-19T00:00:00Z
review text: The alternating segment Crank-Nicolson (ASCN) scheme for solving a one- dimensional diffusion equation is developed by Soul'yev's asymmetric scheme. The idea of this method is to design the Crank-Nicolson scheme in segments by the asymmetric scheme and hence the problem of size \((m-1)\) for solving the linear system becomes a number of small size problems. The proposed method is unconditionally stable, suitable for parallel or vector computers and the truncation error for it is similar to that for the Crank-Nicolson scheme. Results of computational experiments on a 5 WYSE transputer systems are presented. It is pointed out that the ASCN-method allows to speedup running time three times in comparison with the original Crank-Nicolson scheme.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 644319
zbMATH Keywords: unconditional stability
zbMATH Keywords: error bound
zbMATH Keywords: alternating segment Crank-Nicolson scheme
zbMATH Keywords: diffusion equation
zbMATH Keywords: Soul'yev's asymmetric scheme
zbMATH Keywords: parallel or vector computers
zbMATH Keywords: computational experiments
zbMATH Keywords: transputer systems
reviewed by: Peter P. Matus
MaRDI profile type: Publication
full work available at URL: 0167-8191(94)90123-6
OpenAlex ID: W2052991920
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description: scientific article; zbMATH DE number 644319