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Particle method approximation of oscillatory solutions to hyperbolic differential equations
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
1989 (English)In: SIAM Journal on Numerical Analysis, ISSN 0036-1429, E-ISSN 1095-7170, ISSN 0036-1429, Vol. 26, no 2, 289-319 p.Article in journal (Refereed) Published
Abstract [en]

Particle methods approximating hyperbolic partial differential equations with oscillatory solutions are studied. Convergence is proved for approximations for which the continuous solution is not well resolved on the computational grid. Highly oscillatory solutions to the Broadwell and variable coefficients Carleman models are considered. Homogenization results are given and the approximations of more general systems are discussed. Numercial exampels are presented

Place, publisher, year, edition, pages
1989. Vol. 26, no 2, 289-319 p.
Keyword [en]
Particle method, oscillation, nonlinear hyperbolic systems
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:kth:diva-90498DOI: 10.1137/0726016OAI: oai:DiVA.org:kth-90498DiVA: diva2:505734
Note
NR 20140805Available from: 2012-02-24 Created: 2012-02-24 Last updated: 2017-12-07Bibliographically approved

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