Stochastic numerics for the Boltzmann equation
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
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
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9783540252689
3540252681
- Dimensions
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24 cm
- Extent
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XIII, 256 S.
- Language
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Englisch
- Notes
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graph. Darst.
Literaturverz. S. 243 - 253
- Bibliographic citation
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Springer series in computational mathematics ; 37
- Classification
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Physik
- Keyword
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Verdünntes Gas
Boltzmann-Gleichung
Monte-Carlo-Simulation
- Event
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Veröffentlichung
- (where)
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Berlin, Heidelberg, New York
- (who)
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Springer
- (when)
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2005
- Creator
- Table of contents
- Rights
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Last update
-
11.06.2025, 2:23 PM CEST
Data provider
This object is provided by:
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Associated
- Rjasanow, Sergej
- Wagner, Wolfgang
- Springer
Time of origin
- 2005
Other Objects (12)
A stochastic weighted particle method for the Boltzmann equation
Convergence of the stochastic weighted particle method for the Boltzmann equation
Approximation of the Boltzmann equation by discrete velocity models
Stochastic models and Monte Carlo algorithms for Boltzmann type equations
Stochastic systems of particles with weights and approximation of the Boltzmann equation : the Markov process in the spatially homogeneous case
A functional law of large numbers for Boltzmann type stochastic particle systems
Asymptotic properties of stochastic particle systems with Boltzmann type interaction
A direct simulation Monte Carlo method for the Uehling-Uhlenbeck-Boltzmann equation
Some new properties of the kinetic equation for the consistent Boltzmann algorithm
A generalized collision mechanism for stochastic particle schemes approximating Boltzmann type equations
Direct simulation of the uniformly heated granular Boltzmann equation
An efficient stochastic chemistry approximation for the PDF transport equation
A stochastic weighted particle method for the Boltzmann equation
Convergence of the stochastic weighted particle method for the Boltzmann equation
Approximation of the Boltzmann equation by discrete velocity models
Stochastic models and Monte Carlo algorithms for Boltzmann type equations
Stochastic systems of particles with weights and approximation of the Boltzmann equation : the Markov process in the spatially homogeneous case
A functional law of large numbers for Boltzmann type stochastic particle systems
Asymptotic properties of stochastic particle systems with Boltzmann type interaction
A direct simulation Monte Carlo method for the Uehling-Uhlenbeck-Boltzmann equation
Some new properties of the kinetic equation for the consistent Boltzmann algorithm
A generalized collision mechanism for stochastic particle schemes approximating Boltzmann type equations
Direct simulation of the uniformly heated granular Boltzmann equation
An efficient stochastic chemistry approximation for the PDF transport equation
A stochastic weighted particle method for the Boltzmann equation
Convergence of the stochastic weighted particle method for the Boltzmann equation
Approximation of the Boltzmann equation by discrete velocity models
Stochastic models and Monte Carlo algorithms for Boltzmann type equations
Stochastic systems of particles with weights and approximation of the Boltzmann equation : the Markov process in the spatially homogeneous case
A functional law of large numbers for Boltzmann type stochastic particle systems
Asymptotic properties of stochastic particle systems with Boltzmann type interaction
A direct simulation Monte Carlo method for the Uehling-Uhlenbeck-Boltzmann equation
Some new properties of the kinetic equation for the consistent Boltzmann algorithm
A generalized collision mechanism for stochastic particle schemes approximating Boltzmann type equations
Direct simulation of the uniformly heated granular Boltzmann equation