Symmetric eighth algebraic order methods with minimal phase-lag for the numerical solution of the Schrödinger equation
type: Item
instance of: scholarly article
title: Symmetric eighth algebraic order methods with minimal phase-lag for the numerical solution of the Schrödinger equation
zbMATH Open document ID: 1002.65078
DOI: 10.1023/A:1016259830419
publication date: 2002-09-03T00:00:00Z
review text: Some new eight algebraic order symmetric eight-step methods are introduced. A direct formula for computation of the phase-lag is given for these methods. The stability properties are discussed. Numerical illustrations on the radial Schrödinger equation indicate that the new methods are more efficient than older ones.
reviewed by: Laura Iulia Aniţa
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 1795002
zbMATH Keywords: symmetric methods
zbMATH Keywords: multistep methods
zbMATH Keywords: radial Schrödinger equation
zbMATH Keywords: resonance problems
zbMATH Keywords: scattering problems
zbMATH Keywords: phase shift problems
zbMATH Keywords: phase-lag
zbMATH Keywords: numerical examples
zbMATH Keywords: stability
author: T. E. Simos
author: Jesús Vigo-Aguiar
MaRDI profile type: Publication
full work available at URL: a:1016259830419
OpenAlex ID: W2046845998
published in: Journal of Mathematical Chemistry
description: scientific article; zbMATH DE number 1795002