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Computation of oscillatory solutions to hyperbolic differential equations using particle methods
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
1987 (English)Conference paper (Refereed)
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.

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Computer and Information Science
URN: urn:nbn:se:kth:diva-90501OAI: diva2:505742
Vortex methods
NR 20140805Available from: 2012-02-24 Created: 2012-02-24Bibliographically approved

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Engquist, Björn
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Numerical Analysis, NA
Computer and Information Science

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ReferencesLink to record
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