The multigrid method for accelerated solution of the discretized Schrödinger equation
type: Item
instance of: scholarly article
title: The multigrid method for accelerated solution of the discretized Schrödinger equation
zbMATH Open document ID: 0582.65087
DOI: 10.1016/0021-9991(83)90162-6
author: Herschel Rabitz
author: Fernando F. Grinstein
author: Attila Askar
published in: Journal of Computational Physics
publication date: 1983-01-01T00:00:00Z
review text: The use of the new multigrid method for the numerical solution of the discretized Schrödinger equation is discussed. A simple approach is chosen to circumvent the difficulties associated with the fact that the Schrödinger differential operator is not positive definite. The scheme is applied to a two-dimensional model problem which includes the essential features present in actual scattering problems. The results show that significant savings can be achieved both in computational work and core memory requirements. The multigrid method should greatly increase the utility of meshing procedures for solving the partial differential equations of quantum mechanics.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 3932357
zbMATH Keywords: multigrid method
zbMATH Keywords: discretized Schrödinger equation
zbMATH Keywords: scattering
MaRDI profile type: Publication
full work available at URL: 0021-9991(83)90162-6
OpenAlex ID: W2001529763
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description: scientific article; zbMATH DE number 3932357