Stochastic Numerics for the Boltzmann Equation: 37 (Springer by Sergej Rjasanow,Wolfgang Wagner

By Sergej Rjasanow,Wolfgang Wagner

Stochastic numerical tools play a tremendous position in huge scale computations within the technologies. the 1st target of this e-book is to offer a mathematical description of classical direct simulation Monte Carlo (DSMC) methods for rarefied gases, utilizing the speculation of Markov approaches as a unifying framework. the second one objective is a scientific remedy of an extension of DSMC, known as stochastic weighted particle procedure. this system contains a number of new beneficial properties, that are brought for the aim of variance aid (rare occasion simulation). Rigorous convergence effects in addition to specific numerical reviews are presented.

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