4 papers
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…
High-order, long-time stable and parallel decoupled GBDF SAV ensemble schemes for the Navier--Stokes--Darcy flow with random hydraulic conductivity tensors
Wei-Wei Han, Fukeng Huang, Changxin Qiu
We develop and analyze high-order ensemble schemes for the unsteady Navier--Stokes--Darcy system with uncertain initial conditions, forcing terms, hydraulic conductivity tensors, a…
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…
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…