Y. Wang, M. Wang and Z. Xu, "Numerical Methods for Solving Nonlinearly Coupled Poisson Equations in Dual-Continuum Modeled Porous Electrodes"
Z. Xu, X. Zhu, D. Li and Q. Liao, "An adaptive Gaussian process method for multi-modal Bayesian inverse problems", https://arxiv.org/abs/2409.15307 (co-first author}
M. Mojamder, Z. Xu, M. Wang, I. Timofeyev, Parametrization of subgrid scales in long-term simulations of the shallow-water equations using machine learning and convex limiting, Fluids, vol. 11, no.3, p. 76, 2026.
Z. Xu, M. Wang and Z. Wang, Weak TransNet: A Petrov-Galerkin based neural network method for solving elliptic PDEs, Journal of Scientific Computing, vol. 107, no. 60, 2026.
Z. Xu, Q. Liao, and J. Li, “Domain-decomposed Bayesian inversion based on local Karhunen-Loève expansions,” Journal of Computational Physics, vol. 504, p. 112856, 2024
Z. Xu, Y. Xia, and Q. Liao, "A domain-decomposed VAE method for Bayesian inverse problems", International journal for uncertainty quantification, vol. 14, no. 3, p. 67-95, 2024
J. He, Z. Xu, and Q. Liao, “Deep neural network based adaptive learning for switched systems,” Discrete and Continuous Dynamical Systems, Series S. vol. 16, no. 7, p. 1827-1855, 2023 (co-first author)
Z. Xu and Q. Liao, “Gaussian process based expected information gain computation for Bayesian optimal design,” Entropy, vol. 22, no. 2, p. 258, 2020.
Z. Xu and W. Wang, “More asymptotic expansions for the Barnes G-function,” Journal of Number Theory, vol. 174, pp. 505–517, 2017