A direct simulation Monte Carlo scheme and uniformly distributed sequences for solving the Boltzmann equation

DOI10.1007/BF02238728zbMath0658.65144MaRDI QIDQ1111358

Christian Lécot

Publication date: 1989

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

error estimatesBoltzmann equationpseudo-random numbersNumerical comparisonsdirect simulation Monte Carlo schemeHammersley sequencelow discrepancy method

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) Transport processes in time-dependent statistical mechanics (82C70) Random number generation in numerical analysis (65C10)

Related Items (9)

Fast generation of low-discrepancy sequences ⋮ Low discrepancy sequences for solving the Boltzmann equation ⋮ Quasi-Monte Carlo methods for Markov chains with continuous multi-dimensional state space ⋮ Application of well-distributed sequences to the numerical simulation of the Boltzmann equation ⋮ Stratified Monte Carlo simulation of Markov chains ⋮ A quasi-stochastic simulation of the general dynamics equation for aerosols ⋮ Tests of a simulation method for Boltzmann-like models with chemical reactions ⋮ Diffusion in a nonhomogeneous medium: quasi-random walk on a lattice ⋮ Law of large numbers for a general system of stochastic differential equations with global interaction

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Low discrepancy sequences for solving the Boltzmann equation
• An algorithm for generating low discrepancy sequences on vector computers
• Diskrepanz und Distanz von Maßen bezüglich konvexer und Jordanscher Mengen. (Discrepancy and distance of measures with respect to convex and Jordan sets)
• On simulation methods for solving the Boltzmann equation
• Die Theorie der asymptotischen Verteilung und die numerische Lösung von Integrodifferentialgleichungen
• On a simulation scheme for the Boltzmann equation
• MONTE CARLO METHODS FOR SOLVING MULTIVARIABLE PROBLEMS
• Exact solutions of the Boltzmann equation
• Quasi-Monte Carlo methods and pseudo-random numbers

This page was built for publication: A direct simulation Monte Carlo scheme and uniformly distributed sequences for solving the Boltzmann equation