Numerical computations for long-wave short-wave interaction equations in semi-classical limit
type: Item
instance of: scholarly article
title: Numerical computations for long-wave short-wave interaction equations in semi-classical limit
zbMATH Open document ID: 1161.65069
author: Yau shu Wong
author: Chi-Kun Lin
author: Qianshun Chang
published in: Journal of Computational Physics
publication date: 2008-10-08T00:00:00Z
review text: This work is devoted to the study of the production and benchmarking of several refinements of the power method that enable the computation of multiple extremal eigenpairs of very large matrices. The authors used an observation by Booth in these refinements, that has made possible the calculation of up to the 10th eigenpair for simple test problems, simulating the transport of neutrons in the steady state of a nuclear reactor. In this manuscript the authors summarize their techniques and efforts to-date on determining mainly just the two largest or two smallest eigenpairs. To illustrate the effectiveness of the techniques, they determined the two extremal eigenpairs of a cyclic matrix, the transfer matrix of the two-dimensional Ising model, and the Hamiltonian matrix of the one-dimensional Hubbard model.
reviewed by: Maria C. Mariani
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 5349705
zbMATH Keywords: numerical methods
zbMATH Keywords: large matrices
zbMATH Keywords: extremal eigenvalues
zbMATH Keywords: power method
MaRDI profile type: Publication
full work available at URL: j.jcp.2008.05.015
OpenAlex ID: W2029294828
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DOI: 10.1016/J.JCP.2008.05.015
description: scientific article; zbMATH DE number 5349705