Computation of oscillatory solutions to partial differential equations
1988 (English)In: Lecture notes in mathematics, ISSN 0075-8434, Vol. 1270, 68-82 p.Article in journal (Refereed) Published
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.
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-90502DOI: 10.1007/BFb0078314OAI: oai:DiVA.org:kth-90502DiVA: diva2:505743
NR 201408052012-02-242012-02-24Bibliographically approved