CP methods for the Schrödinger equation
type: Item
instance of: scholarly article
title: CP methods for the Schrödinger equation
zbMATH Open document ID: 0971.65067
DOI: 10.1016/S0377-0427(00)00478-7
author: L. Gr. Ixaru
published in: Journal of Computational and Applied Mathematics
publication date: 2001-11-01T00:00:00Z
review text: This paper focuses on a class of piecewise perturbation methods for approximating the potential energy function when solving the one dimensional Schrödinger equation. These methods, known as constant perturbation (CP) methods, approximate the potential energy function by piecewise constants on a set of subintervals and then perform polynomial-type perturbation corrections. An error analysis is given and a simple numerical illustration.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 1566022
zbMATH Keywords: numerical example
zbMATH Keywords: constant perturbation methods
zbMATH Keywords: piecewise perturbation methods
zbMATH Keywords: one dimensional Schrödinger equation
zbMATH Keywords: error analysis
reviewed by: Kevin Burrage
describes a project that uses: SLDRIVER
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1566022