11 citations · 13 across the 3 of their papers we have counts for
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A mass-energy-conserving discontinuous Galerkin scheme for the isotropic multispecies Rosenbluth--Fokker--Planck equation
Takashi Shiroto, Akinobu Matsuyama, Nobuyuki Aiba +1
Structure-preserving discretization of the Rosenbluth-Fokker-Planck equation is still an open question especially for unlike-particle collision. In this paper, a mass-energy-conser…
Eigenstructure-preserving scheme for a hyperbolic system
Takashi Shiroto, Akinobu Matsuyama, Nobuyuki Aiba
A hyperbolic system must have a set of linearly independent eigenvectors and corresponding real eigenvalues. In numerical simulations, however, the eigenvalues can be complex becau…
Structure-preserving strategy for conservative simulation of relativistic nonlinear Landau--Fokker--Planck equation
Takashi Shiroto, Yasuhiko Sentoku
Mathematical symmetries of the Beliaev--Budker kernel are the most important structure of the relativistic Landau--Fokker--Planck equation. By preserving the beautiful symmetries,…