Laguerre polynomials for infinite-domain spectral elements
type: Item
instance of: scholarly article
title: Laguerre polynomials for infinite-domain spectral elements
zbMATH Open document ID: 0665.65066
DOI: 10.1016/0021-9991(89)90112-5
author: Cathy Mavriplis
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: The problem \(-u_{xx}+\lambda^ 2u=f\) with boundary coditions \(u(0)=0\) and \(u_ x\to 0\) as \(x\to \infty\) is considered in a variational formalism and the effect of using Laguerre polynomials is considered. These are used in conjugation with Legendre-type elements and the accuracy of the approximations are considered.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 4088861
zbMATH Keywords: spectral element method
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: semi-infinite domains
zbMATH Keywords: conjugate gradient method
zbMATH Keywords: Laguerre polynomials
reviewed by: Brian L. Burrows
MaRDI profile type: Publication
full work available at URL: 0021-9991(89)90112-5
OpenAlex ID: W2199665742
cites work: A spectral element method for fluid dynamics: Laminar flow in a channel expansion
cites work: Spectral Calculations of One-Dimensional Inviscid Compressible Flows
cites work: Q3742104
cites work: The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
cites work: Numerical solution of problems in unbounded regions: coordinate transforms
cites work: Spectral methods using rational basis functions on an infinite interval
cites work: Orthogonal rational functions on a semi-infinite interval
Recommended article: Spectral Elements on Infinite Domain
Recommended article: Q4386866
Recommended article: Q4724069
Recommended article: Spectral Synthesis on the Algebra of Absolutely Convergent Laguerre Polynomial Series
Recommended article: Legendre polynomials spectral approximation for the infinite-dimensional Hamiltonian systems
Recommended article: Laguerre polynomials and singular differential operators
Recommended article: Q3508200
Recommended article: Laguerre-Sobolev orthogonal polynomials
Recommended article: Q3839707
Recommended article: Laguerre polynomials generalized to a certain discrete Sobolev inner product space
description: scientific article; zbMATH DE number 4088861