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A numerical method for the first-order wave equation with discontinuous initial data
KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.
1998 (English)In: Numerical Methods for Partial Differential Equations, ISSN 0749-159X, E-ISSN 1098-2426, Vol. 138, no 3, 353-365 p.Article in journal (Refereed) Published
Abstract [en]

We introduce a method, constructed such that numerical solutions of the wave equation are well behaved when the solutions also contain discontinuities. The wave equation serves as a model problem for the Euler equations when the solution contains a contact discontinuity. Numerical computations of linear equations and the Euler equations in one and two dimensions are presented

Place, publisher, year, edition, pages
John Wiley & Sons, 1998. Vol. 138, no 3, 353-365 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-65751DOI: 10.1002/(SICI)1098-2426(199805)14:3<353::AID-NUM5>3.0.CO;2-LOAI: oai:DiVA.org:kth-65751DiVA: diva2:483629
Note
NR 20140805Available from: 2012-01-25 Created: 2012-01-25 Last updated: 2017-12-08Bibliographically approved

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Numerical Analysis and Computer Science, NADA
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Numerical Methods for Partial Differential Equations
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CiteExportLink to record
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  • apa
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