@article{10902/38143, year = {2025}, month = {3}, url = {https://hdl.handle.net/10902/38143}, abstract = {This paper is dedicated to the mathematical analysis of difference schemes for discretizing the angular diffusion operator present in the azimuth-independent Fokker-Planck equation. The study establishes sets of sufficient conditions to ensure that the schemes achieve convergence of order 2, and provides insights into the rationale behind certain widely recognized discrete ordinates methods. In the process, interesting properties regarding Gaussian nodes and weights, which until now have remained unnoticed by mathematicians, naturally emerge.}, organization = {OLP acknowledges support from Ministerio de Ciencia e Innovación, project PID2021-122625OB-I00 with funds from MCIN/AEI/10.13039/501100011033/ ERDF, EU, and from the Xunta de Galicia (2021 GRC Gl-1563 - ED431C 2021/15). JS acknowledges support from Ministerio de Ciencia e Innovación, project PID2021-127252NB-I00 with funds from MCIN/AEI/10.13039/501100011033/ ERDF, EU.}, publisher = {Elsevier Ltd}, publisher = {Computers and Mathematics with Applications, 2025, 181, 84-110}, title = {Analysis of difference schemes for the Fokker–Planck angular diffusion operator}, author = {López Pouso, Óscar and Segura Sala, José Javier}, }