Low discrepancy sequences for solving the Boltzmann equation

DOI10.1016/0377-0427(89)90049-6zbMath0668.65117OpenAlexW2064197896MaRDI QIDQ1118378

Christian Lécot

Publication date: 1989

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90049-6

zbMATH Keywords

convergenceBoltzmann equationError boundsdirect simulation Monte Carlo schemehomogeneous and isotropic gaslow discrepancy methodnumber-theoretic conceptsspaces vehicle aerodynamics

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (5)

A direct simulation Monte Carlo scheme and uniformly distributed sequences for solving the Boltzmann equation ⋮ Particle simulations of the Kac model of the Boltzmann equation ⋮ A particle method for some parabolic equations ⋮ A quasi-Monte Carlo Metropolis algorithm ⋮ Quasi-Monte Carlo algorithms for diffusion equations in high dimensions

Cites Work

• Point sets and sequences with small discrepancy
• A direct simulation Monte Carlo scheme and uniformly distributed sequences for solving the Boltzmann equation
• An algorithm for generating low discrepancy sequences on vector computers
• Discrépance de suites associées à un système de numération (en dimension s)
• Exact solutions of the Boltzmann equation
• Quasi-Monte Carlo methods and pseudo-random numbers
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