An accurate eighth order exponentially-fitted method for the efficient solution of the Schrödinger equation
type: Item
instance of: scholarly article
title: An accurate eighth order exponentially-fitted method for the efficient solution of the Schrödinger equation
zbMATH Open document ID: 0976.65060
DOI: 10.1016/S0010-4655(99)00459-2
published in: Computer Physics Communications
publication date: 2002-01-13T00:00:00Z
review text: This paper constructs an eighth-order exponentially fitted method for solving differential equations arising from the Schrödinger equation. A comprehensive order and truncation error analysis is given using MAPLE. A variable stepsize implementation is introduced and compared with existant methods on some simple problems.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 1437209
zbMATH Keywords: exponentially fitted method
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: error analysis
zbMATH Keywords: variable stepsize
author: T. E. Simos
reviewed by: Kevin Burrage
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: s0010-4655(99)00459-2
OpenAlex ID: W1995711608
description: scientific article; zbMATH DE number 1437209