3 papers
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…
math.NA2025
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…
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…