Stochastic Numerics for the Boltzmann Equation

• Main Authors: Rjasanow, Sergej (Author), Wagner, Wolfgang (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Springer Series in Computational Mathematics, 37
• Subjects: Mathematics.; Partial differential equations.; Numerical analysis.; Probabilities.; Physics.; Numerical Analysis.; Probability Theory and Stochastic Processes.; Theoretical, Mathematical and Computational Physics.; Partial Differential Equations.

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 unifyi...