On the construction of arbitrary order schemes for the many dimensional wave equation
type: Item
instance of: scholarly article
title: On the construction of arbitrary order schemes for the many dimensional wave equation
zbMATH Open document ID: 0856.65097
DOI: 10.1007/BF01740552
author: Jukka Tuomela
published in: BIT
publication date: 1997-02-11T00:00:00Z
review text: The paper is devoted to a problem which was of an interest in the beginning of the theory of difference methods. The elementary constructed explicit high-order approximations for the wave equation (on the simplest cubic grid in space) assume that the solution is very smooth and that no boundary conditions are given. Stability is also understood in the simplest way (in \(L_2)\).
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 881191
zbMATH Keywords: stability
zbMATH Keywords: difference methods
zbMATH Keywords: wave equation
reviewed by: Evgeniĭ Dyakonov
describes a project that uses: AXIOM
MaRDI profile type: Publication
cites work: Q4326944
cites work: Q3264967
cites work: Fourth order schemes for the heterogeneous acoustics equation
cites work: Q4326957
cites work: Q4023355
cites work: Full Discretizations of $u_{tt} = u_{xx} $ and Rational Approximations to $\cosh \mu z$
cites work: A Modified Equation Approach to Constructing Fourth Order Methods for Acoustic Wave Propagation
cites work: Fourth‐order schemes for the wave equation, Maxwell equations, and linearized elastodynamic equations
cites work: A note on high order schemes for the one dimensional wave equation
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description: scientific article; zbMATH DE number 881191