Main papers (full list of papers)
 Modified Poisson-Nernst-Planck model with accurate Coulomb correlation in variable media, P. Liu, X. Ji and Z. Xu, SIAM J. Appl. Math., 78(2018), 226-245.
 Microscopic insights into the efficiency of capacitive mixing process, M. Ma, S. Zhao, H. Liu and Z. Xu, AIChE Journal, 63(2017), 1785-1791.
 Ion structure near a core-shell dielectric nanoparticle, M. Ma, Z. Gan and Z. Xu, Phys. Rev. Lett., 118(2017), 076102.
 A hybrid method for systems of closely spaced dielectric spheres and ions, Z. Gan, S. Jiang, E. Luijten and Z. Xu, SIAM J. Sci. Comp., 38(2016), B375-B395.
 A multi-scale Monte Carlo method for electrolytes (with Y. Liang and X. Xing), New J. Phys., 17(2015), 083082.
 Comparison of efficient techniques for the simulation of dielectric objects in electrolytes (with Z. Gan, H. Wu, K. Barros and E. Luijten), J. Comput. Phys., 291(2015), 317-333.
 Solving fluctuation-enhanced Poisson-Boltzmann equations (with A. C. Maggs), J. Comput. Phys., 275(2014),310-322.
 Self-consistent field model for strong electrostatic correlations and inhomogeneous dielectric media (with M. Ma), J. Chem. Phys., 141(2014), 244903.
 Ionic size effects: Generalized Boltzmann distributions, counterion stratification, and modified Debye length (with B. Li, P. Liu, and S. Zhou), Nonlinearity, 26 (2013), 2899-2922.
 Mellin transform and image charge method for dielectric sphere in an electrolyte (with Y. Liang and X. Xing), SIAM J. Appl. Math., 73(2013), 1396-1415.
 Effects of image charges, interfacial charge discreteness, and surface roughness on the zeta potential of spherical electric double layers, (with Z. Gan and X. Xing), J. Chem. Phys., 137(2012), 034708.
 Fast analytical methods for macroscopic electrostatic models in biomolecular simulations (with W. Cai), SIAM Review, 53(2011), 683-720.
 Image charge approximations of reaction fields in solvation with arbitrary ionic strength (with S. Deng and W. Cai), J. Comput. Phys., 228(2009), 2092-2099.
 A new FFT-based algorithm to compute Born radii in the generalized Born theory of biomolecule solvation, (with W. Cai and A. Baumketner), J. Comput. Phys., 227(2008), 10162-10177.
 A hybrid scheme for solving a multi-class traffic flow model with complex wave breaking, (with P. Zhang and S.C. Wong), Comput. Methods Appl. Mech. Engrg., 197(2008), 3816-3827.
 Adaptive absorbing boundary conditions for Schrödinger-type equations: application to nonlinear and multi-dimensional problems (with H. Han and X. Wu), J. Comput. Phys., 225(2007), 1577-1589.