Multilevel Monte Carlo and control-variate simulation of Coulomb collisions
نویسندگان
چکیده
The multilevel Monte Carlo and the control-variate method are reviewed for simulation of Coulomb collisions. The test case considered is fast-ion relaxation from ion-ion and electron-ion collisions against a Maxwellian background. A simplified energy scattering model is derived and related to the Cox-Ingersoll-Ross model for which, an exact time dependent solution can be obtained. The exact model is used as a control-variate for the estimation of the mean energy. AMS classification scheme numbers: 65C05,65C30,60H35 Submitted to: Plasma Phys. Control. Fusion Multilevel Monte Carlo and control-variate simulation of Coulomb collisions 2
منابع مشابه
Multilevel Monte Carlo simulation of Coulomb collisions
Article history: Received 16 October 2013 Received in revised form 20 May 2014 Accepted 22 May 2014 Available online 29 May 2014
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