XIANGXIONG ZHANG

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.

C. Liu, D. Milesis, C.-W. Shu, and X. Zhang, Efficient optimization-based invariant-domain-preserving limiters in solving gas dynamics equations, PDF
A. Anshika, J. Li, D. Ghosh and X. Zhang, A Three-Operator Splitting Scheme Derived from Three-Block ADMM. PDF arXiv code
E. Gil Torres, M. Jacobs, and X. Zhang, Asymptotic Linear Convergence of ADMM for Isotropic TV Norm Compressed Sensing, PDF
Y. Chen, D. Xiu and X. Zhang, On enforcing non-negativity in polynomial approximations in high dimensions, SIAM Journal on Scientific Computing, 47, no. 2 (2025), A866-A888. PDF arXiv
Z. Chen, J. Lu, Y. Lu and X. Zhang, Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem, Mathematics of Computation 94 (2025), 2723-2760. 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, Communications in Computational Physics, 36 (2024), pp. 1157-1185. DOI PDF arXiv Demonstration for how to run the code