Section: New Results

Comparison of multiscale PIC methods

Participants : Nicolas Crouseilles, Sever Hirstoaga, Xiaofei Zhao.

In [2] we study different types of multiscale methods to numerically study the long-time Vlasov–Poisson equation with a strong magnetic field. The multiscale methods are an asymptotic preserving Runge–Kutta scheme, an exponential time differencing scheme, the stroboscopic averaging method and a uniformly accurate two-scale formulation. Extensive numerical experiments are conducted to investigate and compare the accuracy, efficiency, and long-time behavior of all the methods. The methods with the best performance under different parameter regimes are identified.