A stochastic collocation method for the second-order wave equation with a discontinuous random speed
type: Item
instance of: scholarly article
title: A stochastic collocation method for the second-order wave equation with a discontinuous random speed
zbMATH Open document ID: 1268.65008
author: Mohammad Motamed
author: F. Nobile
author: R. Tempone
published in: Numerische Mathematik
publication date: 2013-03-05T00:00:00Z
full work available at URL: 2013 Motamed Nobile Tempone NumMath StochWaves.pdf
review text: The authors analyse a stochastic collocation method for solving the second-order wave equation in heterogeneous media with piecewise smooth random wave speed in the non-overlapping subdomains. Full and sparse tensor products of orthogonal polynomials are considered and error estimates as a function of the number of collocation points are developed. In general, the convergence rate is shown to be algebraic. Some numerical results are given.
Mathematics Subject Classification ID: 65C30
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 60H35
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 6141191
zbMATH Keywords: stochastic collocation
zbMATH Keywords: wave equation
zbMATH Keywords: generogeneous media
zbMATH Keywords: full and sparse tensor products
zbMATH Keywords: error estimates
zbMATH Keywords: convergence
zbMATH Keywords: numerical results
reviewed by: Kevin Burrage
MaRDI profile type: Publication
OpenAlex ID: W1967117214
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DOI: 10.1007/S00211-012-0493-5
description: scientific article; zbMATH DE number 6141191