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Stochastic Numerics for the Boltzmann Equation

Stochastic Numerics for the Boltzmann Equation

Paperback

Series: Springer Computational Mathematics, Book 37

General MathematicsPhysics

ISBN10: 3642064434
ISBN13: 9783642064432
Publisher: Springer
Published: Oct 19 2010
Pages: 256
Weight: 0.85
Height: 0.57 Width: 6.14 Depth: 9.21
Language: English

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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General Mathematics