A brief review of numerical methods for collision operators

  • S. Cordier
  • S. Mancini
Conference paper


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.


Monte Carlo Boltzmann Equation Direct Simulation Monte Carlo Collision Operator Vlasov Equation 
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Copyright information

© Springer-Verlag Italia 2003

Authors and Affiliations

  • S. Cordier
    • 1
  • S. Mancini
    • 2
  1. 1.Laboratoire MAPMOUniversité d’OrléansOrléansFrance
  2. 2.Laboratoire J.-L. LionsUniversité Pierre et Marie CurieParisFrance

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