Stochastic Numerics for the Boltzmann Equation

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  • Stochastic Numerics for the Boltzmann Equation Book Detail

  • Author : Sergej Rjasanow
  • Release Date : 2005-11-04
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 266
  • ISBN 13 : 3540276890
  • File Size : 67,67 MB

Stochastic Numerics for the Boltzmann Equation by Sergej Rjasanow PDF Summary

Book Description: 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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Topics in Industrial Mathematics

Topics in Industrial Mathematics

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Industrial Mathematics is a relatively recent discipline. It is concerned primarily with transforming technical, organizational and economic problems posed by i