Pseudo spectral collocation with Maxwell polynomials for kinetic equations with energy diffusion
Pseudo spectral collocation with Maxwell polynomials for kinetic equations with energy diffusion
We study the approximation and stability properties of a recently popularized discretization strategy for the speed variable in kinetic equations, based on pseudospectral collocation on a grid defined by the zeros of a non-standard family of orthogonal polynomials called Maxwell polynomials.Taking a one-dimensional equation describing energy diffusion due to Fokker-Planck …