Stochastic particle methods and approximation of the Boltzmann equation

DOI10.1016/0378-4754(93)E0084-IzbMath0824.60102OpenAlexW2080015081MaRDI QIDQ1897676

Wolfgang Wagner

Publication date: 4 September 1995

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(93)e0084-i

zbMATH Keywords

Boltzmann equationconvergence resultsrandom fluctuationsstochastic particle methods

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (1)

On time counting procedures in the DSMC method for rarefied gases

Cites Work

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• A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation
• The Boltzmann equation and its applications
• A random discrete velocity model and approximation of the Boltzmann equation
• Justification of a stochastic method for solving the Boltzmann equation
• On simulation methods for the Boltzmann equation
• A Convergence Proof for Nanbu’s Simulation Method for the Full Boltzmann Equation
• Stochastic systems of particles with weights and approximation of the Boltzmann equation.the Markov process in the spatially homogeneous case
• Weighted particles in the finite pointset method

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