Mixed Hermite-Legendre spectral method for kinetic plasma simulations

Researchers have developed a novel mixed Hermite-Legendre spectral method for solving kinetic collisionless plasma equations.

This hybrid approach combines the strengths of Hermite polynomials (efficient for near-Maxwellian distributions) and Legendre polynomials (better for non-Maxwellian features).

The method is particularly beneficial for simulating localized non-Maxwellian features like beams and plateaus, demonstrating conservation of mass, momentum, and energy, and achieving improved accuracy for a given number of degrees of freedom.