Coleman's method maximally adapted to the Schrödinger equation
type: Item
instance of: scholarly article
title: Coleman's method maximally adapted to the Schrödinger equation
zbMATH Open document ID: 0664.65092
DOI: 10.1016/0010-4655(87)90013-0
author: L. Gr. Ixaru
author: Stefan Berceanu
published in: Computer Physics Communications
publication date: 1987-01-01T00:00:00Z
review text: The method proposed by \textit{Coleman} [ibid. 19, 185 (1986)] is here modified in a way that it becomes maximally adapted for the integration of the Schrödinger equation. The comparative theoretical error analysis predicts and the numerical tests confirm that the new version is superior to the former particularly when high values of the energy are involved.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 4086938
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: error analysis
zbMATH Keywords: numerical tests
MaRDI profile type: Publication
full work available at URL: 0010-4655(87)90013-0
OpenAlex ID: W2169146006
cites work: A method for the numerical integration of differential equations of second order without explicit first derivatives
cites work: New numerical method for the eigenvalue problem of the 2D Schrödinger equation
cites work: Comparison of some four-step methods for the numerical solution of the Schrödinger equation
description: scientific article; zbMATH DE number 4086938