Simulation methods for Boltzmann-type equations

Speaker(s)

Dorin Marinescu

Affiliation

Institute of Mathematical Statistics and Applied Mathematics, Romanian Academy, Bucharest

Date

May 24, 2006, 4:15 p.m.

Room

room 5840

Seminar

Seminar of Biomathematics and Game Theory Group

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We report on the numerical approximation of the solution of a general class of nonlinear Boltzmann like equations. We provide a discretized version of the equations approximating the above class of equations. The numerical implementation of this scheme it is not possible due to the power-like growth of the computational numerical effort. For this reason we introduce stochastic techniques to diminish the numerical effort. Finally, one obtains a probabilistic convergent scheme solving the initial equations.

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