On the error of stochastic solutions of Boltzmann-type equations: sharp upper bounds

DOI10.3103/S1063454114040062zbMath1372.65259MaRDI QIDQ2404508

V. V. Nekrutkin, E. A. Sovetkin

Publication date: 19 September 2017

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

zbMATH Keywords

Monte Carlo methodBoltzmann equationsharp upper bound\(n\)-particle process

Mathematics Subject Classification ID

Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Cites Work

• Non-Poisson particle systems and Boltzmann equations
• Asymptotic expansions and estimators with small bias for Nanbu processes
• Homogeneous Balance Equation for Measures: Errors of the Stochastic Solution
• An exponential formula for solving Boltzmann's equation for a Maxwellian gas
• Unnamed Item
• Unnamed Item

This page was built for publication: On the error of stochastic solutions of Boltzmann-type equations: sharp upper bounds