Dexuan Xie

Professor
Mathematical Sciences - General

Web: Personal Website

Educational Degrees

  • PhD Applied Mathematics, University of Houston, 1995
  • MS Dept. of Applied Math., Hunan University, Changsha, China, 1985
  • BS Dept. of Applied Math., Hunan University, Changsha, China, 1982

Research Positions

  • Postdoc., NYU, 1996-1999

Research Interests

  • Numerical Analysis, Computational Mathematics, and Mathematical Biology
  • Numerical solutions of partial differential equations, numerical optimizations, and high performance scientific computing

Selected Service and Projects

  • Principal Investigator for NSF Research Grant Award, $399,935 ($230,263 for PI at UWM and $169,672 for PI (Prof. L. R. Scott) at the University of Chicago), Division of Mathematical Sciences, National Science Foundation (NSF), 2012 – 2015.
  • Principal Investigator for NSF Research Grant Award, $590,691 ($265,417 for UWM and $325,234 for PI (Prof. L. R. Scott) at the University of Chicago), Division of Mathematical Sciences, National Science Foundation, 2009 – 2012.
  • Principal Investigator for NSF Research Award, $520,479 (Co-PI Dr. Peter Butko), Division of Mathematical Sciences, National Science Foundation, 2003 – 2007.
  • Founder and Investigator, High Performance Scientific Computing Laboratory, Mathematical Sciences Department.

Selected Publications

Xie, Dexuan, and Jiang, Yi. “Nonlocal Poisson-Fermi double layer models: Effects of nonuniform ion sizes on double layer structure.” Physical Review E 97.5 (2018): 052610.
Xie, Yang, Ying, Jinyong, and Xie, Dexuan. “SMPBS: Web server for computing biomolecular electrostatics using finite element solvers of size modified Poisson-Boltzmann equation.” Journal of Computational Chemistry 38.8 (2017): 541--552.
Xie, Dexuan. “New Finite Element Iterative Methods for Solving a Nonuniform Ionic Size Modified Poisson-Boltzmann Equation.” International Journal of Numerical Analysis & Modeling 14.4-5 (2017): 688-711.
Xie, Dexuan. “New Finite Element Iterative Methods for Solving a Nonuniform Ionic Size Modified Poisson-Boltzmann Equation.” International Journal of Numerical Analysis & Modeling 14.4-5 (2017): 688–711.
Xie, Dexuan, and Jiang, Yi. “A Nonlocal Modified Poisson-Boltzmann Equation and Finite Element Solver for Computing Electrostatics of Biomolecules.” Journal of Computational Physics 322. (2016): 1-20.
Xie, Dexuan, and Ying, Jinyong. “A New Box Iterative Method for a Class of Nonlinear Interface Problems with Application in Solving Poisson-Boltzmann Equation.” Journal of Computational and Applied Mathematics 307. (2016): 319-334.
Xie, Dexuan, Liu, Jinn-Liang, and Eisenberg, Bob. “Nonlocal Poisson-Fermi Model for Ionic Solvent.” Physical Review E/American Physical Society 94. (2016): 012114.
Xie, Dexuan, Volkmer, Hans W., and Ying, Jinyong. “Analytical Solutions of Two Nonlocal Poisson Dielectric Test Models with Spherical Solute Region Containing Multiple Point Charges.” Physical Review E/American Physical Society 93. (2016): 043304.
Ying, Jinyong, and Xie, Dexuan. “A New Finite Element and Finite Difference Hybrid Method for Computing Electrostatics of Ionic Solvated Biomolecule.” Journal of Computational Physics 298. (2015): 636-651.
Li, Jiao, and Xie, Dexuan. “An Effective Minimization Protocol for Solving a Size-modified Poisson-Boltzmann Equation for Biomolecule in Ionic Solvent.” International Journal of Numerical Analysis and Modeling 12.2 (2015): 286 - 301.
Xie, Dexuan, and Li, Jiao. “A new analysis of electrostatic free energy minimization and Poisson-Boltzmann equation for protein in ionic solvent.” Nonlinear Analysis: Real World Applications 21. (2015): 185-196.
Xie, Dexuan, Jiang, Yi, and Scott, L. Ridgway. “Efficient algorithms for a nonlocal dielectric model for protein in ionic solvent.” SIAM Journal on Scientific Computing, SIAM 35.6 (2013): B1267-1284.
Xie, Dexuan, and Volkmer, Hans W. “A modified nonlocal continuum electrostatic model for protein in water and its analytical solutions for ionic Born models.” Communications in Computational Physics 13.1 (2013): 174-194.
Xie, Dexuan, Jiang, Yi, Brune, Peter, and Scott, L. Ridgway. “A fast solver for a nonlocal dielectric continuum model.” SIAM Journal on Scientific Computing 34.2 (2012): B107-B126.
Xie, Dexuan, and Scott, L. R. “A new boundary integral equation for molecular electrostatics with chares over whole space.” BIT Numerical Mathematic 51.4 (2011): 1051-1071.
Xie, Dexuan. “An improved approximate Newton method for implicit Runge–Kutta formulas.” Journal of Computational and Applied Mathematics 235.17 (2011): 5249-5258.
Xie, Dexuan, and Zhou, Shuzi. “A new minimization protocol for solving nonlinear Poisson-Boltzmann mortar finite element equation.” BIT Numerical Mathematics 47.4 (2007): 853-871.
Xie, Dexuan. “A new block parallel SOR method and its analysis.” SIAM Journal on Scientific Computing 27.5 (2006): 1513 - 1533.
Xie, Jun, Butko, Peter, and Xie, Dexuan. “Molecular dynamics simulations of the cytolytic toxin Cyt1A in solution.” IEEE Trans. Nanobioscience, IEEE 4.3 (2005): 235-240.
Xie, Dexuan, Singh, Suresh B., Fluder, Eugene M., and Schlick, Tamar. “Principal component analysis combined with truncated-Newton minimization for dimensionality reduction of chemical databases.” Mathematical Programming, Springer 95.1 (2002): 161-185.
Xie, Dexuan, Scott, Ridgway, and Schlick, Tamar. “Analysis of the SHAKE-SOR algorithm for constrained molecular dynamics simulations.” Methods and Applications of Analysis 7.3 (2000): 577-590.
Xie, Dexuan, Tropsha, Alexander, and Schlick, Tamar. “An efficient projection protocol for chemical databases: the singular value decomposition combined with truncated-Newton minimization.” Journal of Chemical Information and Computer Sciences 40.1 (2000): 167-177.
Scott, L. R., and Xie, Dexuan. “Parallel Linear Stationary Iterative Methods.” Parallel Solution of Partial Differential Equations, The IMA Volumes in Mathematics and its Appications, Springer-Verlag 120. Ed. Bjorstad, P., and Luskin, M. (2000): 31-55.
Xie, Dexuan, and Schlick, Tamar. “Efficient implementation of the truncated-Newton algorithm for large-scale chemistry applications.” SIAM Journal on Optimization, SIAM 10.1 (1999): 132-154.