An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems
type: Item
instance of: scholarly article
title: An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems
zbMATH Open document ID: 0982.65079
DOI: 10.1016/S0010-4655(00)00080-1
published in: Computer Physics Communications
publication date: 2000-12-03T00:00:00Z
review text: This paper deals with the exponentially- and trigonometrically-fitted Runge-Kutta methods up to the fourth algebraic order. An embedded exponentially-fitted method for the integration of the Schrödinger equation and the related initial-value problems with periodic or oscillating solutions is developed. Numerical results show the efficiency of the new method.
reviewed by: Rudolf Scherer
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 1538319
zbMATH Keywords: embedded Runge-Kutta methods
zbMATH Keywords: initial-value problems
zbMATH Keywords: periodic solutions
zbMATH Keywords: oscillating solutions
zbMATH Keywords: exponential fitting
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: numerical results
author: G. Avdelas
author: T. E. Simos
author: Jesús Vigo-Aguiar
MaRDI profile type: Publication
full work available at URL: s0010-4655(00)00080-1
OpenAlex ID: W2042907355
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description: scientific article; zbMATH DE number 1538319