Embedded eighth order methods for the numerical solution of the Schrödinger equation
type: Item
instance of: scholarly article
title: Embedded eighth order methods for the numerical solution of the Schrödinger equation
zbMATH Open document ID: 0954.65061
DOI: 10.1023/A:1019162701521
publication date: 2000-07-06T00:00:00Z
review text: A new method for the approximate numerical integration of the radial Schrödinger equation is developed. The authors propose a family of eight-algebraic order explicit methods. Their complete phase-lag and stability analysis is developed. A simple error control mechanism, based on the phase-lag error, is described. Numerical results obtained for the phase-shift problems of the radial Schrödinger equation show the validity of the developed theory.
reviewed by: Karel Najzar
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B30
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 1470883
zbMATH Keywords: radial Schrödinger equation
zbMATH Keywords: embedded methods
zbMATH Keywords: error bounds
zbMATH Keywords: stability
zbMATH Keywords: phase-lag
zbMATH Keywords: error control
zbMATH Keywords: numerical results
zbMATH Keywords: phase-shift problem
author: G. Avdelas
author: T. E. Simos
MaRDI profile type: Publication
full work available at URL: a:1019162701521
OpenAlex ID: W418430966
published in: Journal of Mathematical Chemistry
description: scientific article; zbMATH DE number 1470883