2 papers
math.NA2025
A class of positive-preserving,energy stable and high order numerical schemes for the Poission-Nernst-Planck system
Waixiang Cao, Yuzhe Qin, Minqiang Xu
In this paper, we introduce and analyze a class of numerical schemes that demonstrate remarkable superiority in terms of efficiency, the preservation of positivity, energy stabilit…
math.NA2025
The positivity-preserving high-order semi-Lagrangian spectral volume method for Vlasov-Poisson equations
Xinyue Zhang, Xiaofeng Cai, Waixiang Cao
In this paper, a novel high order semi-Lagrangian (SL) spectral volume (SV) method is proposed and studied for nonlinear Vlasov-Poisson (VP) simulations via operator splitting. The…