Cosine methods for a class of semilinear second-order wave equations
type: Item
instance of: scholarly article
title: Cosine methods for a class of semilinear second-order wave equations
zbMATH Open document ID: 0704.65068
DOI: 10.1016/0898-1221(90)90355-N
publication date: 1990-01-01T00:00:00Z
review text: By means of Galerkin-type methods in space and cosine time-stepping schemes, initial and boundary value problems for a class of semilinear hyperbolic wave equations with a nonlinear term on the right-hand side are discretized. Theoretical results on the convergence and optimal error estimates of fourth and second order temporal accuracy in \(L^ 2\) space are proved.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 4155799
zbMATH Keywords: second-order wave equations
zbMATH Keywords: cosine method
zbMATH Keywords: Galerkin methods
zbMATH Keywords: semilinear hyperbolic wave equations
zbMATH Keywords: convergence
zbMATH Keywords: optimal error estimates
author: Charalambos Makridakis
reviewed by: Snezhana Gocheva-Ilieva
MaRDI profile type: Publication
cites work: An approximation theorem for second-order evolution equations
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full work available at URL: 0898-1221(90)90355-n
OpenAlex ID: W2066750036
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4155799