Zhenli Xu is a professor at the School of Mathematical Sciences and Institute of Natural Sciences, Shanghai Jiao Tong University. He received B.S. and Ph.D. degrees from University of Science and Technology of China, and was a postdoctoral fellow at University of North Carolina at Charlotte before joining the SJTU. He was selected in the Program of New Century Talents in University of Chinese Ministry of Education in 2010. Professor Xu works in a number of fields in applied mathematics, including fast Monte Carlo algorithms, computer simulations and continuum theory of biological and colloidal systems, and numerical PDEs, and published papers in core journals such as SIAM Review and other SIAM series journals, Physical Review Letters, Journal of Computational Physics, and Journal of Chemical Physics. His research projects has been financially supported by Chinese Ministry of Education, and Natural Science Foundation of China.
A hybrid method for systems of closely spaced dielectric spheres and ions (with Z. Gan, S. Jiang and E. Luijten), SIAM J. Sci. Comp., in press.
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.
Simulation of electric double layers around charged colloids in aqueous solution of variable permittivity (with F. Fahrenberger, and C. Holm), J. Chem. Phys., 141(2014), 064902.
Self-energy-modified Poisson-Nernst-Planck equations: WKB approximation and finite-difference approaches (with M. Ma and P. Liu), Phys. Rev. E, 90(2014), 013307.
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.
Electrostatic interaction in the presence of dielectric interfaces and polarization-induced like charge attraction, Phys. Rev. E, 87(2013), 013307.
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.
Competitive adsorption and ordered packing of counterions near highly charged surfaces: From mean-field theory to Monte Carlo simulations, (with J. Wen, S. Zhou and B. Li), Phys. Rev. E., 85(2012), 041406.
Fast analytical methods for macroscopic electrostatic models in biomolecular simulations (with W. Cai), SIAM Review, 53(2011), 683-720.
Multiple-image treatment of induced charges in Monte Carlo simulations of electrolytes near a spherical dielectric interface (with Z. Gan), Phys. Rev. E, 84(2011), 016705.
Treecode-based generalized Born method (with X. Cheng and H. Yang), J. Chem. Phys., 134 (2011), 064107.
Treecode algorithm for pairwise electrostatic interactions with solvent-solute polarization, Phys. Rev. E, 81(2010), 020902(Rapid communication).
An image-based reaction field method for electrostatic interactions in molecular dynamics simulations of aqueous solutions (Yuchun Lin et al.), J. Chem. Phys., 131(2009), 154103.
Unified approach to split absorbing boundary conditions for nonlinear Schrödinger equations: Two dimensional case, (with J. Zhang and X. Wu), Phys. Rev. E, 79(2009), 046711.
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.
Unified approach to split absorbing boundary conditions for nonlinear Schrödinger equations, (with J. Zhang and X. Wu), Phys. Rev. E, 78(2008), 026709.
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.
Absorbing boundary conditions for nonlinear Schrödinger equations (with H. Han), Phys. Rev. E, 74(2006), 037704.