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Computation of oscillatory solutions to partial differential equations
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
1988 (English)In: Lecture notes in mathematics, ISSN 0075-8434, Vol. 1270, 68-82 p.Article in journal (Refereed) Published
Abstract [en]

Numerical approximations of hyperbolic partial differential equations with oscillatory solutions are studied. Convergence is analyzed in the practical case for which the continous solution is not well resolved on the computational grid. Averaged difference approximations of linear problems and particle method approximations of semilinear problems are presented. Highly oscillatory solutions to the Carleman and Broadwell models are considered. The continous and the corresponding numerical models converge to the same homogenized limit as the frequency in the oscillation increases.

Place, publisher, year, edition, pages
1988. Vol. 1270, 68-82 p.
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-90502DOI: 10.1007/BFb0078314OAI: diva2:505743
NR 20140805Available from: 2012-02-24 Created: 2012-02-24Bibliographically approved

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Engquist, Björn
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