Sweeping algorithms for inverting the discrete Ginzburg-Landau operator
type: Item
instance of: scholarly article
title: Sweeping algorithms for inverting the discrete Ginzburg-Landau operator
zbMATH Open document ID: 0765.65117
DOI: 10.1016/0096-3003(93)90098-Y
author: Man Kam Kwong
published in: Applied Mathematics and Computation
publication date: 1993-05-16T00:00:00Z
review text: The author considers the problem of the solution of the Ginzburg-Landau equations in superconductivity. He discusses a method of discretization of the equations and suggests a form of numerical solution similar to the shooting technique for ordinary differential equations. Partial sweeping and iterative algorithms are discussed, and the possibility of using techniques such as ``divide and conquer'' and alternating directions. He points out that solutions of the finite difference system can involve highly ill-conditioned matrices. The paper is very largely descriptive.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 82D55
Mathematics Subject Classification ID: 78A55
Mathematics Subject Classification ID: 49M20
zbMATH DE Number: 166268
zbMATH Keywords: partial sweeping
zbMATH Keywords: divide and conquer
zbMATH Keywords: Ginzburg-Landau equations
zbMATH Keywords: superconductivity
zbMATH Keywords: iterative algorithms
zbMATH Keywords: alternating directions
zbMATH Keywords: finite difference system
zbMATH Keywords: ill-conditioned matrices
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
cites work: Theory of Superconductivity
cites work: Macroscopic Models for Superconductivity
cites work: Q4001895
cites work: Q5512940
cites work: Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
cites work: Q4288508
cites work: Q3262153
full work available at URL: 0096-3003(93)90098-y
OpenAlex ID: W1990599735
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description: scientific article; zbMATH DE number 166268