Main papers (full list of papers)

      [1]      Asymptotic analysis on dielectric boundary effects of modified Poisson-Nernst-Planck equations, L. Ji, P. Liu, Z. Xu and S. Zhou, SIAM J. Appl. Math., 78(2018), 1802-1822.

      [2]      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.

      [3]      Microscopic insights into the efficiency of capacitive mixing process, M. Ma, S. Zhao, H. Liu and Z. Xu, AIChE Journal, 63(2017), 1785-1791.

      [4]      Ion structure near a core-shell dielectric nanoparticle, M. Ma,  Z. Gan and Z. Xu, Phys. Rev. Lett., 118(2017), 076102.

      [5]      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.

      [6]      A multi-scale Monte Carlo method for electrolytes (with Y. Liang and X. Xing), New J. Phys., 17(2015), 083082.

      [7]      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.

      [8]      Solving fluctuation-enhanced Poisson-Boltzmann equations (with A. C. Maggs), J. Comput. Phys., 275(2014),310-322.

      [9]      Self-consistent field model for strong electrostatic correlations and inhomogeneous dielectric media (with M. Ma), J. Chem. Phys., 141(2014), 244903.

   [10]   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.

   [11]   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.

   [12]   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.

   [13]   Fast analytical methods for macroscopic electrostatic models in biomolecular simulations (with W. Cai),  SIAM Review, 53(2011), 683-720.

   [14]   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.

   [15]   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.

   [16]   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.

   [17]   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.