3 papers
math.NA2026
Fast spectral separation method for kinetic equation with anisotropic non-stationary collision operator retaining micro-model fidelity
Yue Zhao, Huan Lei
We present a generalized, data-driven collisional operator for one-component plasmas, learned from molecular dynamics simulations, to extend the collisional kinetic model beyond th…
math.NA2026
Matrix-Free Stabilized BDF Schemes for Semilinear Parabolic Equations with Unconditional Maximum Bound Principle Preservation and Energy Stability
Haishen Dai, Huan Lei, Bin Zheng
We develop a family of stabilized backward differentiation formula (sBDF) schemes of orders one through four for semilinear parabolic equations. The proposed methods are designed t…
physics.comp-ph2025
Data-driven construction of a generalized kinetic collision operator from molecular dynamics
Yue Zhao, Joshua W. Burby, Andrew Christlieb +1
We introduce a data-driven approach to learn a generalized kinetic collision operator directly from molecular dynamics. Unlike the conventional (e.g., Landau) models, the present o…