Construction of Particlesets to Simulate Rarefied Gases

  • In this paper a new method is introduced to construct asymptotically f-distributed sequences of points in the IR^d. The algorithm is based on a transformation proposed by E. Hlawka and R. Mück. For the numerical tests a new procedure to evaluate the f-discrepancy in two dimensions is proposed.

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Author:Michael Hack
URN (permanent link):urn:nbn:de:hbz:386-kluedo-6957
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (89)
Document Type:Preprint
Language of publication:English
Year of Completion:1993
Year of Publication:1993
Publishing Institute:Technische Universität Kaiserslautern
Tag:discrete measure ; distribution ; low discrepancy ; particle method
Source:Partially published as: Transformation of uniformly distributed particle ensembles, J. of Comp. and Appl. Mathematics, 83(1), 1997, pp. 87-113
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik
MSC-Classification (mathematics):11K36 Well-distributed sequences and other variations
11K45 Pseudo-random numbers; Monte Carlo methods

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