Spline approximation of advection-diffusion problems using upwind type collocation nodes
type: Item
instance of: scholarly article
title: Spline approximation of advection-diffusion problems using upwind type collocation nodes
zbMATH Open document ID: 0938.65100
DOI: 10.1016/S0377-0427(99)00207-1
author: Daniele Funaro
author: Giuseppe Pontrelli
published in: Journal of Computational and Applied Mathematics
publication date: 1999-11-23T00:00:00Z
review text: This paper deals with a modification of the classical spline collocation method for solving linear advection-diffusion equations where the choice of the grid depends on the differential operator. The method has stabilization effects with respect to the diffusion parameter. The algorithm is tested on model problems in 1D and 2D.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 1367873
zbMATH Keywords: spline collocation method
zbMATH Keywords: linear advection-diffusion equations
zbMATH Keywords: stabilization
zbMATH Keywords: algorithm
reviewed by: Pavol Chocholatý
MaRDI profile type: Publication
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full work available at URL: s0377-0427(99)00207-1
OpenAlex ID: W1996585911
description: scientific article; zbMATH DE number 1367873