Construction of trigonometrically and exponentially fitted Runge--Kutta--Nyström methods for the numerical solution of the Schrödinger equation and related problems -- a method of 8th algebraic order
type: Item
instance of: scholarly article
title: Construction of trigonometrically and exponentially fitted Runge--Kutta--Nyström methods for the numerical solution of the Schrödinger equation and related problems -- a method of 8th algebraic order
zbMATH Open document ID: 1002.65077
DOI: 10.1023/A:1016231100377
publication date: 2002-09-03T00:00:00Z
review text: An \(m\)-stage Runge-Kutta-Nyström method for the investigation of ordinary differential equations of the form \[ u''(t)= f(t,u(t)), \] for which it is known that their solution is periodic or oscillating, is presented. Special attention to the numerical solution of the Schrödinger equation is given.
reviewed by: Laura Iulia Aniţa
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 1795008
zbMATH Keywords: trigonometrically-fitted
zbMATH Keywords: exponentially-fitted
zbMATH Keywords: Runge-Kutta-Nyström method
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: scattering problems
zbMATH Keywords: resonance problem
zbMATH Keywords: periodic solutions
zbMATH Keywords: oscillating solutions
author: Z. Kalogiratou
author: T. E. Simos
MaRDI profile type: Publication
full work available at URL: a:1016231100377
OpenAlex ID: W335122485
published in: Journal of Mathematical Chemistry
description: scientific article; zbMATH DE number 1795008