Dexuan Xie
dxie@uwm.eduEng & Math Sciences W411, , ,

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

  • Adjunct Professor of Biomedical Engineering, Medical College of Wisconsin, 2018 – present.
  • Visiting Professor, Mathematical Biosciences Institute, Ohio State University, 9/1/2015 – 12/15/2015.
  • Visiting Professor,  Institution for Mathematics and its Applications, University of Minnesota, 9/1/2008  – 1/15/2009.
  • Research Associate (Postdoc.), Courant Institute, New York University, and Howard Hughes Medical Institute, 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 Simons Foundation Award, $42, 000, Mathematics and Physical Sciences-Collaboration Grants for Mathematicians, Simons Foundation, 2020 – 2025.
  • 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. “An Efficient Finite Element Iterative Method for Solving a Nonuniform Size Modified Poisson-Boltzmann Ion Channel Model” Journal of Computational Physics470. (2022): 15.
Xie, Dexuan, and Lu, Benzhuo. “Effective Finite Element Iterative Solver for a Poisson-Nernst-Planck Ion Channel Model with Periodic Boundary Conditions” SIAM Journal on Scientific Computing42.6 (2021): B1490-B1516.
Xie, Dexuan, Audi, Said H., and Dash, Ranjan. “A Size Modified Poisson-Boltzmann Ion Channel Model in a Solvent of Multiple Ionic Species: Application to VDAC” Journal of Computational Chemistry41.3 (2020): 218-231.
Xie, Dexuan, and Chao, Zhen. “A Finite Element Iterative Solver for an Improved PNP Ion Channel Model by Neumann Boundary Condition and Membrane Surface Charge” Journal of Computational Physics423. (2020): 109915 (21 pages).
Xie, Dexuan, and Jiang, Yi. “Nonlocal Poisson-Fermi double layer models: Effects of nonuniform ion sizes on double layer structure” Physical Review E97.5 (2018): 052610.
Xie, Dexuan. “New Finite Element Iterative Methods for Solving a Nonuniform Ionic Size Modified Poisson-Boltzmann Equation” International Journal of Numerical Analysis & Modeling14.4-5 (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 & Modeling14.4-5 (2017): 688-711.
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 Chemistry38.8 (2017): 541--552.
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 Mathematics307. (2016): 319-334.
Xie, Dexuan, Liu, Jinn-Liang, and Eisenberg, Bob. “Nonlocal Poisson-Fermi Model for Ionic Solvent” Physical Review E/American Physical Society94. (2016): 012114.
Xie, Dexuan, and Jiang, Yi . “A Nonlocal Modified Poisson-Boltzmann Equation and Finite Element Solver for Computing Electrostatics of Biomolecules” Journal of Computational Physics322. (2016): 1-20.
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 Society93. (2016): 043304.
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 Applications21. (2015): 185-196.
Ying, Jinyong, and Xie, Dexuan. “A New Finite Element and Finite Difference Hybrid Method for Computing Electrostatics of Ionic Solvated Biomolecule” Journal of Computational Physics298. (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 Modeling12.2 (2015): 286 - 301.
Xie, Dexuan. “New Solution Decomposition and Minimization Schemes for Poisson-Boltzmann Equation in Calculation of Biomolecular Electrostatics” Journal of Computational Physics275. (2014): 294-309.
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, SIAM35.6 (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 Physics13.1 (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 Computing34.2 (2012): B107-B126.
Xie, Dexuan. “An improved approximate Newton method for implicit Runge–Kutta formulas” Journal of Computational and Applied Mathematics235.17 (2011): 5249-5258.
Dexuan Xie on MathSciNet