dxie@uwm.eduEng & Math Sciences W411AMCS Math Faculty, Applied Mathematics Research Group, Faculty, Numerical Analysis Research Group

Professor

Mathematical Sciences - General

- 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

- 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.

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

- 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.

Xie, Dexuan. “An Efficient Finite Element Iterative Method for Solving a Nonuniform Size Modified Poisson-Boltzmann Ion Channel Model.” *Journal of Computational Physics* 470. (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 Computing* 42.6 (2021): B1490-B1516.

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* 423. (2020): 109915 (21 pages).

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): 688â711.

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.

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.

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.

Xie, Dexuan. “New Solution Decomposition and Minimization Schemes for Poisson-Boltzmann Equation in Calculation of Biomolecular Electrostatics.” *Journal of Computational Physics* 275. (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, 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.