A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids. - Jia Zhao 004; Xiaofeng Yang 003; Jie Shen 001; Qi Wang 021 (J. Comput. Phys., 2016)

Semi-Discrete Energy-Stable Schemes for a Tensor-Based Hydrodynamic Model of Nematic Liquid Crystal Flows. - Jia Zhao 004; Qi Wang 021 (J. Sci. Comput., 2016)

Modeling the Excess Cell Surface Stored in a Complex Morphology of Bleb-Like Protrusions. - Maryna Kapustina; Denis Tsygankov; Jia Zhao 004; Timothy Wessler; Xiaofeng Yang 003; Alex Chen; Nathan Roach; Timothy C. Elston; Qi Wang 021; Ken Jacobson; M. Gregory Forest (PLoS Comput. Biol., 2016)

Energy Stable Numerical Schemes for a Hydrodynamic Model of Nematic Liquid Crystals. - Jia Zhao 004; Xiaofeng Yang 003; Jun Li 073; Qi Wang 021 (SIAM J. Sci. Comput., 2016)

An energy stable algorithm for a quasi-incompressible hydrodynamic phase-field model of viscous fluid mixtures with variable densities and viscosities. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (Comput. Phys. Commun., 2017)

Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method. - Xiaofeng Yang 003; Jia Zhao 004; Qi Wang 021 (J. Comput. Phys., 2017)

Decoupled Energy Stable Schemes for a Phase Field Model of Three-Phase Incompressible Viscous Fluid Flow. - Jia Zhao 004; Huiyuan Li; Qi Wang 021; Xiaofeng Yang 003 (J. Sci. Comput., 2017)

Linear second order in time energy stable schemes for hydrodynamic models of binary mixtures based on a spatially pseudospectral approximation. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (Adv. Comput. Math., 2018)

Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation. - Huan Liu 011; Aijie Cheng; Hong Wang 018; Jia Zhao 004 (Comput. Math. Appl., 2018)

Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method. - Xiaofeng Yang 003; Jia Zhao 004; Xiaoming He (J. Comput. Appl. Math., 2018)

Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities. - Yuezheng Gong; Jia Zhao 004; Xiaogang Yang; Qi Wang 021 (SIAM J. Sci. Comput., 2018)

Second Order Fully Discrete Energy Stable Methods on Staggered Grids for Hydrodynamic Phase Field Models of Binary Viscous Fluids. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (SIAM J. Sci. Comput., 2018)

Energy-stable Runge-Kutta schemes for gradient flow models using the energy quadratization approach. - Yuezheng Gong; Jia Zhao 004 (Appl. Math. Lett., 2019)

A linear energy and entropy-production-rate preserving scheme for thermodynamically consistent crystal growth models. - Yucan Zhao; Jun Li 073; Jia Zhao 004; Qi Wang 021 (Appl. Math. Lett., 2019)

On power law scaling dynamics for time-fractional phase field models during coarsening. - Jia Zhao 004; Lizhen Chen; Hong Wang 018 (Commun. Nonlinear Sci. Numer. Simul., 2019)

Arbitrarily High-order Unconditionally Energy Stable Schemes for Gradient Flow Models Using the Scalar Auxiliary Variable Approach. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (CoRR, 2019)

Arbitrarily High-order Linear Schemes for Gradient Flow Models. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (CoRR, 2019)

An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection. - Lizhen Chen; Jun Zhang 047; Jia Zhao 004; Waixiang Cao; Hong Wang 018; Jiwei Zhang 002 (Comput. Phys. Commun., 2019)

Efficient linear schemes for the nonlocal Cahn-Hilliard equation of phase field models. - Xiaofeng Yang 003; Jia Zhao 004 (Comput. Phys. Commun., 2019)

Energy and entropy preserving numerical approximations of thermodynamically consistent crystal growth models. - Jun Li 073; Jia Zhao 004; Qi Wang 021 (J. Comput. Phys., 2019)

A non-uniform time-stepping convex splitting scheme for the time-fractional Cahn-Hilliard equation. - Jun Zhang 047; Jia Zhao 004; JinRong Wang 001 (Comput. Math. Appl., 2020)

A patient specific forecasting model for human albumin based on deep neural networks. - Cheng Lei; Yu Wang; Jia Zhao 004; Kexun Li; Hua Jiang; Qi Wang 021 (Comput. Methods Programs Biomed., 2020)

Discovering Phase Field Models from Image Data with the Pseudo-spectral Physics Informed Neural Networks. - Jia Zhao 004 (CoRR, 2020)

Arbitrarily high-order unconditionally energy stable SAV schemes for gradient flow models. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (Comput. Phys. Commun., 2020)

Energy-stable predictor-corrector schemes for the Cahn-Hilliard equation. - Jun Zhang 047; Maosheng Jiang; Yuezheng Gong; Jia Zhao 004 (J. Comput. Appl. Math., 2020)

Error analysis of full-discrete invariant energy quadratization schemes for the Cahn-Hilliard type equation. - Jun Zhang 047; Jia Zhao 004; Yuezheng Gong (J. Comput. Appl. Math., 2020)

A novel second-order linear scheme for the Cahn-Hilliard-Navier-Stokes equations. - Lizhen Chen; Jia Zhao 004 (J. Comput. Phys., 2020)

Arbitrarily high-order linear energy stable schemes for gradient flow models. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (J. Comput. Phys., 2020)

Structure-Preserving Numerical Approximations to a Non-isothermal Hydrodynamic Model of Binary Fluid Flows. - Shouwen Sun; Jun Li 073; Jia Zhao 004; Qi Wang 021 (J. Sci. Comput., 2020)

Arbitrarily High-Order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (SIAM J. Sci. Comput., 2020)

A revisit of the energy quadratization method with a relaxation technique. - Jia Zhao 004 (Appl. Math. Lett., 2021)

Energy-production-rate preserving numerical approximations to network generating partial differential equations. - Qi Hong; Jia Zhao 004; Qi Wang 021 (Comput. Math. Appl., 2021)

A General Framework to Derive Linear, Decoupled and Energy-stable Schemes for Reversible-Irreversible Thermodynamically Consistent Models: Part I Incompressible Hydrodynamic Models. - Jia Zhao 004 (CoRR, 2021)

Second-order Decoupled Energy-stable Schemes for Cahn-Hilliard-Navier-Stokes equations. - Jia Zhao 004 (CoRR, 2021)

A Remark on the Invariant Energy Quadratization (IEQ) Method for Preserving the Original Energy Dissipation Laws. - Zengyan Zhang; Yuezheng Gong; Jia Zhao 004 (CoRR, 2021)

Second order linear decoupled energy dissipation rate preserving schemes for the Cahn-Hilliard-extended-Darcy model. - Yakun Li; Wenkai Yu; Jia Zhao 004; Qi Wang 021 (J. Comput. Phys., 2021)

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

A general framework to derive linear, decoupled and energy-stable schemes for reversible-irreversible thermodynamically consistent models. - Jia Zhao 004 (Comput. Math. Appl., 2022)

Linear energy stable numerical schemes for a general chemo-repulsive model. - Maosheng Jiang; Jia Zhao 004; Qi Wang 021 (J. Comput. Appl. Math., 2022)

Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation. - Maosheng Jiang; Zengyan Zhang; Jia Zhao 004 (J. Comput. Phys., 2022)

Linear relaxation schemes for the Allen-Cahn-type and Cahn-Hilliard-type phase field models. - Maosheng Jiang; Jia Zhao 004 (Appl. Math. Lett., 2023)

Thermodynamically consistent hydrodynamic phase-field computational modeling for fluid-structure interaction with moving contact lines. - Qi Hong; Yuezheng Gong; Jia Zhao 004 (J. Comput. Phys., 2023)

Linear relaxation method with regularized energy reformulation for phase field models. - Jiansong Zhang; Xinxin Guo; Maosheng Jiang; Tao Zhou; Jia Zhao 004 (J. Comput. Phys., 2024)

Unconditionally energy-stable decoupled schemes for binary phase field crystal models using staggered temporal grids. - Xuewei Zhang; Maosheng Jiang; Jia Zhao 004 (Appl. Math. Lett., 2025)

Auxiliary relaxation method to derive thermodynamically consistent phase field models with constraints and structure preserving numerical approximations. - Qi Hong; Zengyan Zhang; Jia Zhao 004 (J. Comput. Phys., 2025)

General numerical framework to derive structure preserving reduced order models for thermodynamically consistent reversible-irreversible PDEs. - Zengyan Zhang; Jia Zhao 004 (J. Comput. Phys., 2025)