Publications
Preprints
Z. Zhang, Y. Zhao, Y. Huang & J. Zhao, Computational modeling of cell migration in microfluidic channel, preprint.
Z. Zhang, W. Hao & J. Harlim, Geometric local parameterization for solving Hele-Shaw problems with surface tension, Submitted. Available at arXiv:2510.14088.
Journal Papers
Z. Zhang & J. Zhao, General numerical framework to derive structure preserving reduced order models for thermodynamically consistent reversible-irreversible PDEs, Journal of Computational Physics, 113562, 2025.
Q. Hong, Z. Zhang & J. Zhao, Auxiliary relaxation method to derive thermodynamically consistent phase field models with constraints and structure preserving numerical approximations, Journal of Computational Physics, 113598, 2024.
G. Jones, D. Ellis, Z. Zhang, J. Zhao & R. Sims Optimizing algae biofilm growth in wastewater treatment using compuational mathematical models, Contemporary Research in Mathematical Biology, 19-51, 2023.
Z. Zhang, Y. Gong & J. Zhao, A remark on the invariant energy quadratization (IEQ) method for preserving the original energy dissipation laws, Electronic Research Archive, 30(2), 2022.
M. Jiang, Z. Zhang & J. Zhao, Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation, Journal of Computational Physics, 110954,2022.
L. Chen, Z. Zhang & J. Zhao, Numerical approximations of phase field models using a general class of linear time-integration schemes, Communications in Computational Physics, 30(5), 2021.
Q. Wang, L. Jin & Z. Zhang, Global well-posedness, pattern formation and spiky stationary solutions in a Beddington-DeAngelis competition system, Discrete and Continuous Dynamical Systems - Series A, 40(4), 2020.
L. Jin, Q. Wang & Z. Zhang, Pattern formation in Keller-Segel chemotaxis models with logistic growth, International Journal of Bifurcation and Chaos, 26(02), 2016.
