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: | urn:nbn:de:hbz:386-kluedo-6957 |
| Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (89) |
| Document Type: | Preprint |
| Language of publication: | English |
| Year of Completion: | 1993 |
| Year of first Publication: | 1993 |
| Publishing Institution: | Technische Universität Kaiserslautern |
| Date of the Publication (Server): | 2000/04/03 |
| 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: | Kaiserslautern - Fachbereich Mathematik |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| MSC-Classification (mathematics): | 11-XX NUMBER THEORY / 11Kxx Probabilistic theory: distribution modulo 1; metric theory of algorithms / 11K36 Well-distributed sequences and other variations |
| 11-XX NUMBER THEORY / 11Kxx Probabilistic theory: distribution modulo 1; metric theory of algorithms / 11K45 Pseudo-random numbers; Monte Carlo methods | |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |