A generator of high-order embedded \(P\)-stable methods for the numerical solution of the Schrödinger equation
type: Item
instance of: scholarly article
title: A generator of high-order embedded \(P\)-stable methods for the numerical solution of the Schrödinger equation
zbMATH Open document ID: 0863.65042
DOI: 10.1016/0377-0427(96)00005-2
published in: Journal of Computational and Applied Mathematics
publication date: 1997-06-08T00:00:00Z
review text: A generator of new embedded \(P\)-stable methods of order \(2n+2\), where \(n\) is the number of layers used by the embedded methods, for the approximate numerical integration of the one-dimensional Schrödinger equation is developed. These new methods are called embedded methods because of a simple natural error control mechanism. Numerical results obtained for one-dimensional differential equations of the Schrödinger type show the validity of the developed theory.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 932491
zbMATH Keywords: \(P\)-stability
zbMATH Keywords: phase shift problem
zbMATH Keywords: numerical examples
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: embedded methods
zbMATH Keywords: error control
author: G. Avdelas
author: T. E. Simos
reviewed by: Zdzislaw Jackiewicz
MaRDI profile type: Publication
full work available at URL: 0377-0427(96)00005-2
OpenAlex ID: W2046652991
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description: scientific article; zbMATH DE number 932491