1 citations · 2 across the 8 of their papers we have counts for
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On a class of higher-order length preserving and energy decreasing IMEX schemes for the Landau-Lifshitz equation
Xiaoli Li, Nan Zheng, Jie Shen
We construct new higher-order implicit-explicit (IMEX) schemes using the generalized scalar auxiliary variable (GSAV) approach for the Landau-Lifshitz equation. These schemes are l…
Global error estimates of high-order fully decoupled schemes for the Cahn-Hilliard-Navier-Stokes model of Two-Phase Incompressible Flows
Xiaoli Li, Nan Zheng, Jie Shen +1
In this paper we construct new fully decoupled and high-order implicit-explicit (IMEX) schemes for the two-phase incompressible flows based on the new generalized scalar auxiliary…
High-efficiency and positivity-preserving stabilized SAV methods for gradient flows
Zhengguang Liu, Yanrong Zhang, Xiaoli Li
The scalar auxiliary variable (SAV)-type methods are very popular techniques for solving various nonlinear dissipative systems. Compared to the semi-implicit method, the baseline S…
An enhanced and highly efficient semi-implicit combined Lagrange multiplier approach with preserving original energy law for dissipative systems
Zhengguang Liu, Nan Zheng, Xiaoli Li
Recently, a new Lagrange multiplier approach was introduced by Cheng, Liu and Shen in \cite{cheng2020new}, which has been broadly used to solve various challenging phase field prob…
A novel energy-optimal scalar auxiliary variable (EOP-SAV) approach for gradient flows
Zhengguang Liu, Yanrong Zhang, Xiaoli Li
In recent years, the scalar auxiliary variable (SAV) approach has become very popular and hot in the design of linear, high-order and unconditional energy stable schemes of gradien…