TY - JOUR
T1 - Random Batch Particle Methods for the Homogeneous Landau Equation
AU - Carrillo , José Antonio
AU - Jin , Shi
AU - Tang , Yijia
JO - Communications in Computational Physics
VL - 4
SP - 997
EP - 1019
PY - 2022
DA - 2022/03
SN - 31
DO - http://doi.org/10.4208/cicp.OA-2021-0200
UR - https://global-sci.org/intro/article_detail/cicp/20374.html
KW - Homogeneous Landau equation, random batch particle method, Coulomb collision.
AB - <p style="text-align: justify;">We consider in this paper random batch particle methods for efficiently solving the homogeneous Landau equation in plasma physics. The methods are stochastic
variations of the particle methods proposed by Carrillo et al. [J. Comput. Phys.: X 7:
100066, 2020] using the random batch strategy. The collisions only take place inside
the small but randomly selected batches so that the computational cost is reduced to $\mathcal{O}(N)$ per time step. Meanwhile, our methods can preserve the conservation of mass,
momentum, energy and the decay of entropy. Several numerical examples are performed to validate our methods.</p>