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Fourth order symmetric finite difference schemes for the wave equation

The solution of the acoustic wave equation in one space dimension is studied. The PDE is discretized using finite element approximation. A cubic piecewise Lagrange polynomial is used as basis. Consistent finite element and lumped mass schemes are obtained. These schemes are interpreted as finite difference schemes. Error analysis is given for these finite differences (only for constant coefficients).

Identiferoai:union.ndltd.org:UPSALLA1/oai:DiVA.org:uu-86000
Date January 2001
CreatorsZemui, Abraham
PublisherUppsala universitet, Avdelningen för teknisk databehandling, Uppsala universitet, Numerisk analys
Source SetsDiVA Archive at Upsalla University
LanguageEnglish
Detected LanguageEnglish
TypeLicentiate thesis, monograph, info:eu-repo/semantics/masterThesis, text
Formatapplication/pdf
Rightsinfo:eu-repo/semantics/openAccess
RelationIT licentiate theses / Uppsala University, Department of Information Technology, 1404-5117 ; 2001-014

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