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Fast algorithms for computing the Boltzmann collision operator

dc.contributor.authorPareschi, Lorenzo
dc.contributor.authorMouhot, Clément
HAL ID: 1892
dc.date.accessioned2009-07-08T08:29:50Z
dc.date.available2009-07-08T08:29:50Z
dc.date.issued2006
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/924
dc.language.isoenen
dc.subjectfast algorithms
dc.subjectdiscrete velocity methods
dc.subjectspectral methods
dc.subjectBoltzmann equationen
dc.subject.ddc519en
dc.titleFast algorithms for computing the Boltzmann collision operatoren
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversita degli studi di Ferrara;Italie
dc.description.abstractenThe development of accurate and fast numerical schemes for the five fold Boltzmann collision integral represents a challenging problem in scientific computing. For a particular class of interactions, including the so-called hard spheres model in dimension three, we are able to derive spectral methods that can be evaluated through fast algorithms. These algorithms are based on a suitable representation and approximation of the collision operator. Explicit expressions for the errors in the schemes are given and spectral accuracy is proved. Parallelization properties and adaptivity of the algorithms are also discussed.en
dc.relation.isversionofjnlnameMathematics of Computation
dc.relation.isversionofjnlvol75en
dc.relation.isversionofjnlissue256en
dc.relation.isversionofjnldate2006
dc.relation.isversionofjnlpages1833-1852en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00087285/en/en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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