Stochastic Numerics for the Boltzmann Equation - Couverture souple

Livre 9 sur 33: Springer Computational Mathematics

Rjasanow, Sergej; Wagner, Wolfgang

 
9783642064432: Stochastic Numerics for the Boltzmann Equation

Synopsis

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.

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Autres éditions populaires du même titre

9783540252689: Stochastic Numerics for the Boltzmann Equation

Edition présentée

ISBN 10 :  3540252681 ISBN 13 :  9783540252689
Editeur : Springer-Verlag Berlin and Heide..., 2005
Couverture rigide