RT Journal Article
T1 Analysis of difference schemes for the Fokker–Planck angular diffusion operator
A1 López Pouso, Óscar
A1 Segura Sala, Jose Javier
K1 Fokker–Planck angular diffusion operator
K1 Numerical differentiation
K1 Discrete ordinates method
K1 Charged particles
K1 Light propagation
AB 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.
PB Elsevier
SN 0898-1221
YR 2025
FD 2025-03-01
LK https://hdl.handle.net/10347/43128
UL https://hdl.handle.net/10347/43128
LA eng
NO López Pouso, Ó, & Segura, J. (2025). Analysis of difference schemes for the Fokker–Planck angular diffusion operator. Computers & Mathematics with Applications, 181, 84–110. 10.1016/j.camwa.2025.01.005
NO 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.
DS Minerva
RD 28 abr 2026