Jia Zhao

Publications | Book Chapters

• Sims, R.C, Heck, P., Prasad, N., Judd, J., Zhao, J., (2022). Algae Biofilm Reactors: Biofilm Reactors Manual of Practice #35 Water Environmental Federation. Water Environment Federation
• Zhao, J., (2017). Modeling and simulation of bacterial biofilm treatment with applications to food science: Nanotechnology in Agriculture and Food Science. Wiley

An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.

Publications | Journal Articles

Academic Journal

• Grosklos, G., Zhao, J., (2023). Chaos does not drive lower synchrony for intrinsically-induced population fluctuations. Ecological Modelling, 475, 110203.
• Jiang, M., Zhao, J., (2023). Linear relaxation schemes for the Allen-Cahn-type and Cahn-Hilliard-type phase field models. Applied Mathematics Letters, 137, 108477.
• Zhao, J., (2022). A general framework to derive linear, decoupled and energy-stable schemes for reversible-irreversible thermodynamically consistent models. Computers and Mathematics with Applications, 110, 91-109.
• Zhang, Z., Gong, Y., Zhao, J., (2022). A remark on the invariant energy quadratization (IEQ) method for preserving the original energy dissipation laws. Electronic Research Archive, 30:2, 701-714.
• Jiang, M., Zhang, Z., Zhao, J., (2022). Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation. Journal of Computational Physics, 456, 114436.
• Jiang, M., Zhao, J., Wang, Q., (2022). Linear energy stable numerical schemes for a general chemo-repulsive model. Journal of Computational and Applied Mathematics, 415, 114436.
• Zhao, J., (2021). A revisit of the energy quadratization method with a relaxation technique. Applied Mathematics Letters, 120, 107331.
• Hong, Q., Gong, Y., Zhao, J., Wang, Q., (2021). Arbitrarily high order structure-preserving algorithms for the Allen-Cahn model with a nonlocal constraint. Applied Numerical Mathematics, 170, 321--339.
• Zhao, J., (2021). Discovering phase field models from image data with the pseudo-spectral physics informed neural networks. Communications on Applied Mathematics and Computation, 3:2, 357-369.
• Hong, Q., Zhao, J., Wang, Q., (2021). Energy-production-rate preserving numerical approximations to network generating partial differential equations. Computers & Mathematics with Applications, 84, 148-165.
• Chen, L., Zhang, Z., Zhao, J., (2021). Numerical approximations of phase field models using a general class of linear time-integration schemes. Communications in Computational Physics, 30:5, 1290--1322.
• Li, Y., Yu, W., Zhao, J., Wang, Q., (2021). Second order linear decoupled energy dissipation rate preserving schemes for the Cahn-Hilliard-Extended-Darcy model. Journal of Computational Physics, 444, 110561.
• Yu, W., Li, Y., Zhao, J., Wang, Q., (2021). Second order linear thermodynamically consistent approximations to nonlocal phase field porous media models. Computer Methods in Applied Mechanics and Engineering, 386, 114089.
• Zhao, J., Han, D., (2021). Second-order decoupled energy-stable schemes for Cahn-Hilliard-Navier-Stokes equations. Journal of Computational Physics, 443, 110536.
• Wight, C.L, Zhao, J., (2021). Solving Allen-Cahn and Cahn-Hilliard equations using the adaptive physics informed neural networks. Communications in Computational Physics, 29:3, 930-954.
• Rodriguez, L., Zhao, J., Gordillo, L.F, (2021). The effects of simple density-dependent prey diffusion and refuge in a predator-prey system. Journal of Mathematical Analysis and Applications
• Zhang, J., Zhao, J., Wang, J., (2020). A non-uniform time-stepping convex splitting scheme for the time-fractional Cahn–Hilliard equation. Computers & Mathematics with Applications, 80:5, 837-850.
• Chen, L., Zhao, J., (2020). A novel second-order linear scheme for the Cahn-Hilliard-Navier-Stokes equations. Journal of Computational Physics, 423, 109782.
• Lei, C., Y., Zhao, J., Jiang, K., Jiang, H., Wang, Q., (2020). A patient specific forecasting model for human albumin based on deep neural networks. Computer Methods and Programs in Biomedicine, 196, 105555.
• Gong, Y., Zhao, J., Wang, Q., (2020). Arbitrarily high-order linear energy stable schemes for gradient flow models. Journal of Computational Physics, 419, 109610.
• Gong, Y., Zhao, J., Wang, Q., (2020). Arbitrarily high-order unconditionally energy stable SAV schemes for gradient flow models. Computer Physics Communications, 42:1, 837-850.
• Gong, Y., Zhao, J., Wang, Q., (2020). Arbitrarily high-order unconditionally energy stable schemes for thermodynamically consistent gradient flow models. SIAM Journal on Scientific Computing, 42:1, B135-B156.
• Zhang, J., Jiang, M., Gong, Y., Zhao, J., (2020). Energy-stable predictor–corrector schemes for the Cahn-Hilliard equation. Journal of Computational and Applied Mathematics376, 112832.
• Zhang, J., Zhao, J., Gong, Y., (2020). Error Analysis of Full-discrete Invariant Energy Quadratization Schemes for the Cahn-Hilliard Type Equation. Journal of Computational and Applied Mathematics, 372, 112719.
• Sun, S., Li, J., Zhao, J., Wang, Q., (2020). Structure-preserving numerical approximations to a non-isothermal hydrodynamic model of binary fluid flows. Journal of Scientific Computing, 83, 50-93.
• Chen, L., Zhang, J., Zhao, J., Cao, W., Wang, H., Zhang, J., (2019). An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection. Computer Physics Communications, 245, 106842.
• Chen, L., Zhao, J., Gong, Y., (2019). A Novel Second-order Scheme for the Molecular Beam Epitaxy Model with Slope Selection. Communications in Computational Physics, 25, 0171-1096.
• Yang, X., Zhao, J., (2019). Efficient linear schemes for the nonlocal Cahn-Hilliard equation of phase field models. Computer Physics Communications, 235, 234--245.
• Li, J., Zhao, J., Wang, Q., (2019). Energy and entropy preserving numerical approximations of thermodynamically consistent crystal growth models. Journal of Computational Physics, 382, 202-220.
• Yang, X., Zhao, J., (2019). On linear and unconditionally energy stable algorithms for variable mobility Cahn-Hilliard type equation with logarithmic Flory-Huggins potential. Communications in Computational Physics, 25, 703--728.
• Zhao, J., Chen, L., Wang, H., (2019). On power law scaling dynamics for time-fractional phase field models during coarsening. Communications in Nonlinear Science and Numerical Simulation, 70, 257--270.
• Gasior, K., Zhao, J., McLaughlin, G., Forest, G., Gladfelter, A.S, Newby, J., (2019). Partial demixing of RNA-protein complexes leads to intra-droplet patterning in phase-separated biological condensates. , 99, 012411.
• Gong, Y., Zhao, J., (2019). Energy-stable Runge–Kutta schemes for gradient flow models using the energy quadratization approach. , 94, 224-231.
• Gong, Y., Zhao, J., Yang, X., Wang, Q., (2018). Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities. SIAM Journal on Scientific Computing, 40:1, B128-B167.
• Gong, Y., Zhao, J., Wang, Q., (2018). Linear second order in time energy stable schemes for hydrodynamic models of binary mixtures based on a spatially pseudospectral approximation. Advances in Computational Mathematics, 44:5, 1573--1600.
• Yang, X., Zhao, J., He, X., (2018). Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation. Journal of Computational and Applied Mathematics, 343, 80--97.
• Yang, X., Gong, Y., Li, J., Zhao, J., Wang, Q., (2018). On hydrodynamic phase field models for binary fluid mixtures. Theoretical and Computational Fluid Dynamics, 32:5, 537--560.
• Chen, L., Zhao, J., Yang, X., (2018). Regularized linear schemes for the molecular beam epitaxy model with slope selection. Applied Numerical Mathematics, 128, 139-156.
• Gong, Y., Zhao, J., Wang, Q., (2018). Second order fully discrete energy stable methods on staggered grids for Hydrodynamic phase field models of binary viscous fluids. SIAM Journal on Scientific Computing, 40:2, B528-B553.
• Liu, H., Cheng, A., Wang, H., Zhao, J., (2018). Time-fractional Allen--Cahn and Cahn--Hilliard phase-field models and their numerical investigation. Computers \& Mathematics with Applications, 76:8, 1876--1892.
• Zhao, J., Yang, X., Gong, Y., Wang, Q., (2017). A novel linear second order unconditionally energy stable scheme for a hydrodynamic q-tensor model of liquid crystals. Computer Methods in Applied Mechanics and Engineering, 318, 803–825.
• Gong, Y., Zhao, J., Wang, Q., (2017). An energy stable algorithm for a quasi-incompressible hydrodynamic phase-field model of viscous fluid mixtures with variable densities and viscosities. Computer Physics Communications, 219, 20–34.
• Zhao, J., Li, H., Wang, Q., Yang, X., (2017). Decoupled energy stable schemes for a phase field model of three-phase incompressible viscous fluid flow. Journal of Scientific Computing, 70:3, 1367–1389.
• Zhao, J., Wang, Q., Yang, X., (2017). Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach. International Journal for Numerical Methods in Engineering, 110:3, 279–300.
• Yang, X., Zhao, J., Wang, Q., (2017). Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method. Journal of Computational Physics, 333, 104–127.
• Yang, X., Zhao, J., Wang, Q., Shen, J., (2017). Numerical approximations of a three components Cahn-Hilliard phase-field model based on invariant energy quadratization method. Mathematical Model and Methods in Applied Sciences, 27, 1993-2023.
• Zhao, J., Wang, Q., (2017). Three-dimensional numerical simulations of biofilm dynamics with quorum sensing in a flow cell. Bulltin of Mathematical Biology, 79:4, 884–919.
• Zhao, J., Seeluangsawat, P., Wang, Q., (2016). Modeling antimicrobial tolerance and treatment of heterogeneous biofilms. Mathematical biosciences282, 1-25.
• Zhao, J., Wang, Q., (2016). A 3D Multi-Phase Hydrodynamic Model for Cytokinesis of Eukaryotic Cells. Communications in Computational Physics, 19:03, 663–681.
• Zhao, J., Shen, Y., Haapasalo, M., Wang, Z., Wang, Q., (2016). A 3D numerical study of antimicrobial persistence in heterogeneous multi-species biofilms. Journal of Theoretical Biology, 292, 83-98.
• Zhao, J., Yang, X., Shen, J., Wang, Q., (2016). A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids. Journal of Computational Physics, 305, 539–556.
• Zhao, J., Yang, X., Li, J., Wang, Q., (2016). Energy stable numerical schemes for a hydrodynamic model of nematic liquid crystals. SIAM Journal on Scientific Computing, 38:5, A3264–A3290.
• Shen, Y., Zhao, J., De La Fuente-Nunez, C., Wang, Z., Hancock, R.E, Roberts, C.R, Ma, J., Li, J., Haapasalo, M., Wang, Q., (2016). Experimental and theoretical investigation of multispecies oral biofilm resistance to chlorhexidine treatment. Scientific reports, 6, 27537.
• Zhao, J., Wang, Q., (2016). Modeling cytokinesis of eukaryotic cells driven by the actomyosin contractile ring. International Journal for Numerical Methods in Biomedical Engineering, 32:12, e02774.
• Kapustina, M., Tsygankov, D., Zhao, J., Wessler, T., Yang, X., Chen, A., Roach, N., Elston, T.C, Wang, Q., Jacobson, K., Forest, G., (2016). Modeling the Excess Cell Surface Stored in a Complex Morphology of Bleb-Like Protrusions. PLoS Computational Biology, 12:3, e1004841.
• Zhao, J., Wang, Q., Yang, X., (2016). Numerical approximations to a new phase field model for two phase flows of complex fluids. Computer Methods in Applied Mechanics and Engineering, 310, 77–97.
• Zhao, J., Wang, Q., (2016). Semi-Discrete Energy-Stable Schemes for a Tensor-Based Hydrodynamic Model of Nematic Liquid Crystal Flows. Journal of Scientific Computing, 68:3, 1241–1266.

An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.

Publications | Other

An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.