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, 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