Analysis of difference schemes for the Fokker-Planck angular diffusion operator

Autor:	Pouso, Óscar López, Segura, Javier
Rok vydání:	2023
Předmět:	Mathematics - Numerical Analysis 65D25 (Primary) 35K65 35Q84 65Z05 78A35 (Secondary)
Druh dokumentu:	Working Paper
Popis:	This paper is dedicated to the mathematical analysis of finite difference schemes for the angular diffusion operator present in the azimuth-independent Fokker-Planck equation. The study elucidates the reasons behind the lack of convergence in half range mode for certain widely recognized discrete ordinates methods, and establishes sets of sufficient conditions to ensure that the schemes achieve convergence of order $2$. In the process, interesting properties regarding Gaussian nodes and weights, which until now have remained unnoticed by mathematicians, naturally emerge. Comment: 35 pages, 1 figure, 2 subfigures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.08950 Zobrazit plný text záznamu View this record from Arxiv