3 papers
math.NA2026
A new class of efficient linear higher-order schemes for the Landau-Lifshitz-Gilbert equation with reduced restriction on the damping parameter
Fukeng Huang, Binghong Li, Xiaoli Li +1
Classical high-order backward differentiation formula (BDF) methods for the Landau-Lifshitz-Gilbert (LLG) equation often suffer from restrictive stability constraints, requiring sm…
math.NA2025
Stability and error analysis of a new class of higher-order consistent splitting schemes for the Navier-Stokes equations
Fukeng Huang, Jie Shen
A new class of fully decoupled consistent splitting schemes for the Navier-Stokes equations are constructed and analyzed in this paper. The schemes are based on the Taylor expansio…
math.NA2024
On a new class of BDF and IMEX schemes for parabolic type equations
Fukeng Huang, Jie Shen
When applying the classical multistep schemes for solving differential equations, one often faces the dilemma that smaller time steps are needed with higher-order schemes, making i…