Stochastic Numerics for the Boltzmann Equation
Wolfgang Wagner, Sergej Rjasanow
Naturwissenschaften, Medizin, Informatik, Technik / Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
Beschreibung
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.
Kundenbewertungen
Variance, partial differential equations, numerics, Boltzmann equation, stochastic numerics, interacting particle systems, rarified gas dynamics, Monte Carlo methods