Efficient orthogonal spline collocation methods for solving linear second order hyperbolic problems on rectangles
type: Item
instance of: scholarly article
title: Efficient orthogonal spline collocation methods for solving linear second order hyperbolic problems on rectangles
zbMATH Open document ID: 0883.65077
author: Ryan I. Fernandes
published in: Numerische Mathematik
publication date: 1997-08-18T00:00:00Z
review text: The author analyzes certain spline and alternating directions schemes for the approximate solution of linear second-order hyperbolic problems on rectangles. The schemes in question are shown to be unconditionally stable in \(H^1\) and discrete maximum norms in space and time. Implementations and numerical results are presented in some detail. The methods used are orthogonal spline collocation counterparts of finite element Galerkin-Laplace modified methods and alternating direction implicite difference schemes, which have previously been treated by the author (partly jointly with G. Faiweather).
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 1049543
zbMATH Keywords: orthogonal spline collocation methods
zbMATH Keywords: stability
zbMATH Keywords: linear second-order hyperbolic problems
zbMATH Keywords: numerical results
zbMATH Keywords: finite element Galerkin-Laplace modified methods
zbMATH Keywords: alternating direction implicite difference schemes
reviewed by: Philip Brenner
MaRDI profile type: Publication
full work available at URL: s002110050284
OpenAlex ID: W2029401810
DOI: 10.1007/S002110050284
description: scientific article; zbMATH DE number 1049543