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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.
Details
| Verlag | Springer Berlin |
| Ersterscheinung | 19. Oktober 2010 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 454 Gramm |
| Format | Softcover |
| ISBN-13 | 9783642064432 |
| Auflage | Softcover reprint of hardcover 1st ed. 2005 |
| Seiten | 256 |
Schlagwörter
Differential Equations, Differentialrechnung und -gleichungen, Mathematische Physik, Numerical Analysis, Numerische Mathematik, Partial Differential Equations, Probability Theory, Probability Theory and Stochastic Processes, Stochastik, Theoretical - Mathematical and Computational Physics, Wahrscheinlichkeitsrechnung und Statistik
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