XIANGXIONG ZHANG

Associate Professor
Department of Mathematics
Purdue University
150 N. University Street,
West Lafayette, IN 47907-2067
Office: MATH 406
Office phone: +1 765 49-63354
zhan1966@purdue.edu
Research interests: applied math, numerical analysis and scientific computing, including numerical PDEs and optimization algorithms.

Z. Chen, J. Lu, Y. Lu and X. Zhang, Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem, arXiv
X. Liu, J. Shen and X. Zhang, A simple GPU implementation of spectral-element methods for solving 3D Poisson type equations on rectangular domains and its applications, to appear in Communications in Computational Physics. PDF arXiv Demonstration for how to run the code
T. Yu, S. Zheng, J. Lu, G. Menon and X. Zhang, Riemannian Langevin Monte Carlo schemes for sampling PSD matrices with fixed rank. PDF arXiv
C. Liu, B. Riviere, J. Shen and X. Zhang, A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn--Hilliard--Navier--Stokes system, SIAM Journal on Scientific Computing, Volume: 46, Issue: 3, pp. A1373-C271. PDF arXiv
S. Zheng, W. Huang, B. Vandereycken and X. Zhang, Riemannian optimization using three different metrics for Hermitian PSD fixed-rank constraints. PDF. An extended version with more details is on arXiv.
X. Liu, J. Shen and X. Zhang, An efficient and robust SAV based algorithm for discrete gradient systems arising from optimizations, to appear in SIAM Journal on Scientific Computing. PDF