Jia Zhao
Orcid: 0000-0001-6021-0841Affiliations:
- Utah State University, Logan, UT, USA
- University of South Carolina, Department of Mathematics, Columbia, SC, USA
- University of North Carolina, Department of Mathematics, Chapel Hill, NC, USA
According to our database1,
Jia Zhao
authored at least 44 papers
between 2016 and 2025.
Collaborative distances:
Collaborative distances:
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Online presence:
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on math.usu.edu
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on orcid.org
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Bibliography
2025
General numerical framework to derive structure preserving reduced order models for thermodynamically consistent reversible-irreversible PDEs.
J. Comput. Phys., 2025
2024
Linear relaxation method with regularized energy reformulation for phase field models.
J. Comput. Phys., 2024
2023
Thermodynamically consistent hydrodynamic phase-field computational modeling for fluid-structure interaction with moving contact lines.
J. Comput. Phys., November, 2023
Linear relaxation schemes for the Allen-Cahn-type and Cahn-Hilliard-type phase field models.
Appl. Math. Lett., 2023
2022
Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation.
J. Comput. Phys., 2022
J. Comput. Appl. Math., 2022
A general framework to derive linear, decoupled and energy-stable schemes for reversible-irreversible thermodynamically consistent models.
Comput. Math. Appl., 2022
2021
Second-order decoupled energy-stable schemes for Cahn-Hilliard-Navier-Stokes equations.
J. Comput. Phys., 2021
Second order linear decoupled energy dissipation rate preserving schemes for the Cahn-Hilliard-extended-Darcy model.
J. Comput. Phys., 2021
A Remark on the Invariant Energy Quadratization (IEQ) Method for Preserving the Original Energy Dissipation Laws.
CoRR, 2021
Second-order Decoupled Energy-stable Schemes for Cahn-Hilliard-Navier-Stokes equations.
CoRR, 2021
A General Framework to Derive Linear, Decoupled and Energy-stable Schemes for Reversible-Irreversible Thermodynamically Consistent Models: Part I Incompressible Hydrodynamic Models.
CoRR, 2021
Energy-production-rate preserving numerical approximations to network generating partial differential equations.
Comput. Math. Appl., 2021
Appl. Math. Lett., 2021
2020
Arbitrarily High-Order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models.
SIAM J. Sci. Comput., 2020
Structure-Preserving Numerical Approximations to a Non-isothermal Hydrodynamic Model of Binary Fluid Flows.
J. Sci. Comput., 2020
J. Comput. Phys., 2020
J. Comput. Phys., 2020
Error analysis of full-discrete invariant energy quadratization schemes for the Cahn-Hilliard type equation.
J. Comput. Appl. Math., 2020
J. Comput. Appl. Math., 2020
Arbitrarily high-order unconditionally energy stable SAV schemes for gradient flow models.
Comput. Phys. Commun., 2020
Discovering Phase Field Models from Image Data with the Pseudo-spectral Physics Informed Neural Networks.
CoRR, 2020
A patient specific forecasting model for human albumin based on deep neural networks.
Comput. Methods Programs Biomed., 2020
A non-uniform time-stepping convex splitting scheme for the time-fractional Cahn-Hilliard equation.
Comput. Math. Appl., 2020
2019
Energy and entropy preserving numerical approximations of thermodynamically consistent crystal growth models.
J. Comput. Phys., 2019
Efficient linear schemes for the nonlocal Cahn-Hilliard equation of phase field models.
Comput. Phys. Commun., 2019
An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection.
Comput. Phys. Commun., 2019
Arbitrarily High-order Unconditionally Energy Stable Schemes for Gradient Flow Models Using the Scalar Auxiliary Variable Approach.
CoRR, 2019
On power law scaling dynamics for time-fractional phase field models during coarsening.
Commun. Nonlinear Sci. Numer. Simul., 2019
A linear energy and entropy-production-rate preserving scheme for thermodynamically consistent crystal growth models.
Appl. Math. Lett., 2019
Energy-stable Runge-Kutta schemes for gradient flow models using the energy quadratization approach.
Appl. Math. Lett., 2019
2018
Second Order Fully Discrete Energy Stable Methods on Staggered Grids for Hydrodynamic Phase Field Models of Binary Viscous Fluids.
SIAM J. Sci. Comput., 2018
Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities.
SIAM J. Sci. Comput., 2018
Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method.
J. Comput. Appl. Math., 2018
Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation.
Comput. Math. Appl., 2018
Linear second order in time energy stable schemes for hydrodynamic models of binary mixtures based on a spatially pseudospectral approximation.
Adv. Comput. Math., 2018
2017
Decoupled Energy Stable Schemes for a Phase Field Model of Three-Phase Incompressible Viscous Fluid Flow.
J. Sci. Comput., 2017
Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method.
J. Comput. Phys., 2017
An energy stable algorithm for a quasi-incompressible hydrodynamic phase-field model of viscous fluid mixtures with variable densities and viscosities.
Comput. Phys. Commun., 2017
2016
SIAM J. Sci. Comput., 2016
Modeling the Excess Cell Surface Stored in a Complex Morphology of Bleb-Like Protrusions.
PLoS Comput. Biol., 2016
Semi-Discrete Energy-Stable Schemes for a Tensor-Based Hydrodynamic Model of Nematic Liquid Crystal Flows.
J. Sci. Comput., 2016
A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids.
J. Comput. Phys., 2016