A brief review of numerical methods for collision operators

S. Cordier and S. Mancini
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S. Cordier: Université d’Orléans, Laboratoire MAPMO
S. Mancini: Université Pierre et Marie Curie, Laboratoire J.-L. Lions

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 447-457 from Springer

Abstract: Summary In this review, we present numerical methods for approx imating collision operators in kinetic theory. We refer to [29] for a similar paper concerning the Vlasov equation. Various collision operators are described (Boltzmann, Fokker-Planck) and the three main numerical methods (Spectral, Discrete Velocity and Monte Carlo) are briefly shown.

Keywords: Monte Carlo; Boltzmann Equation; Direct Simulation Monte Carlo; Collision Operator; Vlasov Equation (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_42

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DOI: 10.1007/978-88-470-2089-4_42

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