Simulation of rare events by the stochastic weighted particle method for the Boltzmann equa\-tion.

DOI10.1016/S0895-7177(00)00289-2zbMath1050.82038OpenAlexW2015191547MaRDI QIDQ5936771

Wolfgang Wagner, Sergej Rjasanow

Publication date: 8 July 2001

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(00)00289-2

zbMATH Keywords

Boltzmann equationNumerical experimentsRare eventsStochastic particle methodVariance reduction

Mathematics Subject Classification ID

Related Items (7)

Effect of Thermal Ablation at the Fluid-Solid Interface of a Hypersonic Reentry Vehicle in Rarefied Flow Regime ⋮ A random cloud model for the Wigner equation ⋮ Stochastic weighted particle methods for population balance equations ⋮ A random walk model for the Schrödinger equation ⋮ Numerical methods for kinetic equations ⋮ A Class of Stochastic Algorithms for the Wigner Equation ⋮ Direct simulation of the uniformly heated granular Boltzmann equation.

Cites Work

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• A generalized collision mechanism for stochastic particle schemes approximating Boltzmann-type equations
• Reduction of the number of particles in the stochastic weighted particle method for the Boltzmann equation
• Coupling of the Boltzmann and Euler equations with automatic domain decomposition
• The mathematical theory of dilute gases
• Numerical study of a stochastic weighted particle method for a model kinetic equation
• A stochastic weighted particle method for the Boltzmann equation
• Direct simulation of gas flows at the molecular level

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