A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation. - Daozhi Han; Xiaoming Wang 009 (J. Comput. Phys., 2015)

A Decoupled Unconditionally Stable Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System. - Daozhi Han (J. Sci. Comput., 2016)

Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model. - Xiaofeng Yang 003; Daozhi Han (J. Comput. Phys., 2017)

Numerical Analysis of Second Order, Fully Discrete Energy Stable Schemes for Phase Field Models of Two-Phase Incompressible Flows. - Daozhi Han; Alex Brylev; Xiaofeng Yang 003; Zhijun Tan (J. Sci. Comput., 2017)

Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry. - Wenbin Chen 006; Daozhi Han; Xiaoming Wang 009 (Numerische Mathematik, 2017)

A Second Order in Time, Decoupled, Unconditionally Stable Numerical Scheme for the Cahn-Hilliard-Darcy System. - Daozhi Han; Xiaoming Wang 009 (J. Sci. Comput., 2018)

A second order, linear, unconditionally stable, Crank-Nicolson-Leapfrog scheme for phase field models of two-phase incompressible flows. - Daozhi Han; Nan Jiang 003 (Appl. Math. Lett., 2020)

Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields. - Feng Bai; Daozhi Han; Xiaoming He; Xiaofeng Yang 003 (Commun. Nonlinear Sci. Numer. Simul., 2020)

Uniquely Solvable and Energy Stable Decoupled Numerical Schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq System. - Wenbin Chen 006; Daozhi Han; Xiaoming Wang 009; Yichao Zhang (J. Sci. Comput., 2020)

Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system. - Wenbin Chen 006; Daozhi Han; Cheng Wang 015; Shufen Wang; Xiaoming Wang 009; Yichao Zhang (CoRR, 2021)

Stability and dynamical transition of a electrically conducting rotating fluid. - Liang Li; Yanlong Fan; Daozhi Han; Quan Wang (CoRR, 2021)

A decoupled numerical method for two-phase flows of different densities and viscosities in superposed fluid and porous layers. - Yali Gao; Daozhi Han; Xiaoming He; Ulrich Rüde (CoRR, 2021)

Second-order decoupled energy-stable schemes for Cahn-Hilliard-Navier-Stokes equations. - Jia Zhao 004; Daozhi Han (J. Comput. Phys., 2021)

Dynamic Transitions and Bifurcations for a Class of Axisymmetric Geophysical Fluid Flow. - Daozhi Han; Marco Hernandez; Quan Wang (SIAM J. Appl. Dyn. Syst., 2021)

Dynamical transition and bifurcation of hydromagnetic convection in a rotating fluid layer. - Liang Li; Yanlong Fan; Daozhi Han; Quan Wang (Commun. Nonlinear Sci. Numer. Simul., 2022)

Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities. - Yali Gao; Daozhi Han; Xiaoming He; Ulrich Rüde (J. Comput. Phys., 2022)

Second Order, Unconditionally Stable, Linear Ensemble Algorithms for the Magnetohydrodynamics Equations. - John Carter; Daozhi Han; Nan Jiang 003 (J. Sci. Comput., 2023)

On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn-Hilliard Equation. - Gang Chen 025; Daozhi Han; John R. Singler; Yangwen Zhang (SIAM J. Numer. Anal., 2023)

A high-order accurate unconditionally stable bound-preserving numerical scheme for the Cahn-Hilliard-Navier-Stokes equations. - Yali Gao; Daozhi Han; Sayantan Sarkar (CoRR, 2024)

Long-time stable SAV-BDF2 numerical schemes for the forced Navier-Stokes equations. - Daozhi Han; Xiaoming Wang 009 (CoRR, 2024)

A second-order, mass-conservative, unconditionally stable and bound-preserving finite element method for the quasi-incompressible Cahn-Hilliard-Darcy system. - Yali Gao; Daozhi Han; Xiaoming Wang 009 (J. Comput. Phys., 2024)

On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface. - Chao Xing; Daozhi Han; Quan Wang (SIAM J. Appl. Dyn. Syst., 2024)

Second-Order Decoupled Linear Energy-Law Preserving gPAV Numerical Schemes for Two-Phase Flows in Superposed Free Flow and Porous Media. - Yali Gao; Daozhi Han (J. Sci. Comput., 2024)

An efficient scheme for approximating long-time dynamics of a class of non-linear models. - Jack Coleman; Daozhi Han; Xiaoming Wang 009 (Commun. Inf. Syst., 2025)