Exact simulation of nonlinear coagulation processes

DOI10.1515/156939604777303253zbMath1152.82316OpenAlexW2062889151MaRDI QIDQ4652907

Nicolas Fournier, Jean-Sébastien Giet

Publication date: 28 February 2005

Published in: Monte Carlo Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939604777303253

zbMATH Keywords

simulationcoalescencenonlinear jump processes

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Integro-partial differential equations (45K05) Interacting particle systems in time-dependent statistical mechanics (82C22) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Stochastic integral equations (60H20)

Related Items (2)

A recursive algorithm and a series expansion related to the homogeneous Boltzmann equation for hard potentials with angular cutoff ⋮ Finiteness of entropy for the homogeneous Boltzmann equation with measure initial condition

Cites Work

• Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
• Smoluchowski's coagulation equation: Uniqueness, nonuniqueness and a hydrodynamic limit for the stochastic coalescent
• Gelation in coagulation and fragmentation models
• Branching processes, trees and the Boltzmann equation
• Probabilistic treatment of the Boltzmann equation of Maxwellian molecules
• On a Monte Carlo scheme for Smoluchowski’s coagulation equation

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