Sturmian eigenvalue equations with a Chebyshev polynomial basis
type: Item
instance of: scholarly article
title: Sturmian eigenvalue equations with a Chebyshev polynomial basis
zbMATH Open document ID: 0564.65059
DOI: 10.1016/0021-9991(85)90042-7
published in: Journal of Computational Physics
publication date: 1985-01-01T00:00:00Z
review text: From authors' summary: A Chebyshev polynomial basis is proposed for the solution of Sturmian eigenvalue equations of the form \(Av=f\) which are encountered in quantum scattering theory. A is a non-self-adjoint second order differential operator and the solution is regular at the origin and has an outgoing wave condition asymptotically. Detailed computation of eigenvalues and eigenfunctions for five cases including analytical and physically realistic examples confirms the inherent polynomial stability of the method characteristic of the minimax norm.
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 81U05
Mathematics Subject Classification ID: 34L99
zbMATH DE Number: 3900082
zbMATH Keywords: Chebyshev polynomial basis
zbMATH Keywords: Sturmian eigenvalue equations
zbMATH Keywords: eigenfunctions
zbMATH Keywords: non-self-adjoint second order differential operator
author: George Delic
author: George H. Rawitscher
reviewed by: Teresa Regińska
describes a project that uses: EISPACK
MaRDI profile type: Publication
full work available at URL: 0021-9991(85)90042-7
OpenAlex ID: W2090206565
cites work: Sturmian theory for ordinary differential equations
cites work: Some new characterizations of the Chebyshev polynomials
cites work: Q3943431
cites work: Sturmian eigenvalue equations with a Bessel function basis
cites work: The special functions and their approximations. Vol. I, II
cites work: Q5722348
cites work: Matrix eigensystem routines - EISPACK guide. 2nd ed
description: scientific article; zbMATH DE number 3900082