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Stochastic Numerics for the Boltzmann Equation [electronic resource] / by Sergej Rjasanow, Wolfgang Wagner.

Por: Colaborador(es): Tipo de material: TextoTextoSeries Springer Series in Computational Mathematics ; 37 | Springer Series in Computational Mathematics ; 37Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005Descripción: XIV, 256 p. online resourceTipo de contenido:
  • text
Tipo de medio:
  • computer
Tipo de soporte:
  • online resource
ISBN:
  • 9783540276890
Trabajos contenidos:
  • SpringerLink (Online service)
Tema(s): Formatos físicos adicionales: Sin títuloClasificación CDD:
  • 518 23
Clasificación LoC:
  • QA297-299.4
Recursos en línea:
Contenidos:
Springer eBooksResumen: 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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Kinetic theory -- Related Markov processes -- Stochastic weighted particle method -- Numerical experiments.

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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