170 citations · 742 across the 23 of their papers we have counts for
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Convergence Analysis of an Unconditionally Energy Stable Linear Crank-Nicolson Scheme for the Cahn-Hilliard Equation
Lin Wang, Haijun Yu
Efficient and unconditionally stable high order time marching schemes are very important but not easy to construct for nonlinear phase dynamics. In this paper, we propose and analy…
A Laguerre homotopy method for optimal control of nonlinear systems in semi-infinite interval
Haijun Yu, Hassan Saberi Nik
This paper presents a Laguerre homotopy method for optimal control problems in semi-infinite intervals (LaHOC), with particular interests given to nonlinear interconnected large-sc…
Convergence analysis of a finite element approximation of minimum action methods
Xiaoliang Wan, Haijun Yu, Jiayu Zhai
In this work, we address the convergence of a finite element approximation of the minimizer of the Freidlin-Wentzell (F-W) action functional for non-gradient dynamical systems pert…
On Efficient Second Order Stabilized Semi-Implicit Schemes for the Cahn-Hilliard Phase-Field Equation
Lin Wang, Haijun Yu
Efficient and energy stable high order time marching schemes are very important but not easy to construct for the study of nonlinear phase dynamics. In this paper, we propose and s…
Efficient Second Order Unconditionally Stable Schemes for a Phase-field Moving Contact Line Model Using Invariant Energy Quadratization Approach
Xiaofeng Yang, Haijun Yu
We consider the numerical approximations for a phase field model consisting of incompressible Navier--Stokes equations with a generalized Navier boundary condition, and the Cahn-Hi…
Numerical Approximations for a Phase-Field Moving Contact Line Model with Variable Densities and Viscosities
Haijun Yu, Xiaofeng Yang
We consider the numerical approximations of a two-phase hydrodynamics coupled phase-field model that incorporates the variable densities, viscosities and moving contact line bounda…