A new efficient spectral Galerkin method for singular perturbation problems
type: Item
instance of: scholarly article
title: A new efficient spectral Galerkin method for singular perturbation problems
zbMATH Open document ID: 0891.76066
DOI: 10.1007/BF02088955
author: Jie Shen
author: Wenbin Liu
published in: Journal of Scientific Computing
publication date: 1998-07-19T00:00:00Z
review text: A new spectral Galerkin method is proposed for the convection-dominated convection-diffusion equation. This method employs a new class of trail function spaces. The available error bounds provide a clear theoretical interpretation for the higher accuracy of the new method compared to the conventional spectral methods when applied to problems with thin boundary layers. Efficient solution techniques are developed for the convection-diffusion equations by using appropriate basis functions for the new trial function spaces.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 76M45
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 65N35
zbMATH DE Number: 1080913
zbMATH Keywords: convection-dominated convection-diffusion equation
zbMATH Keywords: trail function spaces
zbMATH Keywords: error bounds
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02088955
OpenAlex ID: W2046914839
description: scientific article; zbMATH DE number 1080913