A family of \(P\)-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation
type: Item
instance of: scholarly article
title: A family of \(P\)-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation
zbMATH Open document ID: 0954.65064
DOI: 10.1023/A:1019115929321
publication date: 2000-09-06T00:00:00Z
review text: This paper deals with a new approach for constructing exponentially-fitted methods. Using this approach the author constructs methods which exactly integrate functions and which are \(P\)-stable. Two \(P\)-stable exponentially-fitted methods are obtained. The new methods are applied to the resonance problem (which arises from the one-dimensional Schrödinger equation) with two different types of potentials.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 1445823
zbMATH Keywords: \(P\)-stability
zbMATH Keywords: exponentially-fitted methods
zbMATH Keywords: resonance problem
zbMATH Keywords: Schrödinger equation
author: T. E. Simos
reviewed by: Pavol Chocholatý
MaRDI profile type: Publication
published in: Journal of Mathematical Chemistry
description: scientific article; zbMATH DE number 1445823