Stochastic Numerics for the Boltzmann Equation
Sergej Rjasanow, Wolfgang Wagner (auth.)Stochastic numerical methods play an important role in large scale computations in the applied sciences. The first goal of this book is to give a mathematical description of classical direct simulation Monte Carlo (DSMC) procedures for rarefied gases, using the theory of Markov processes as a unifying framework. The second goal is a systematic treatment of an extension of DSMC, called stochastic weighted particle method. This method includes several new features, which are introduced for the purpose of variance reduction (rare event simulation). Rigorous convergence results as well as detailed numerical studies are presented.
Catégories:
Année:
2005
Edition:
1
Editeur::
Springer-Verlag Berlin Heidelberg
Langue:
english
Pages:
256
ISBN 10:
3540276890
ISBN 13:
9783540276890
Collection:
Springer Series in Computational Mathematics 37
Fichier:
PDF, 2.43 MB
IPFS:
,
english, 2005
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