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, 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 Physics. (2020).
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 Computing. (2020).
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 Chemistry 41.3 (2020): 218-231.
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.
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, 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.
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.