Xiangxiong Zhang
Purdue University
Department of Mathematics — West Lafayette, IN
Position
Professor
Contact
Office: MATH 406
Phone: +1 765 49-63354
Email: zhan1966@purdue.edu
Address: 150 N. University Street, West Lafayette, IN 47907-2067
Research Interests
Applied math, numerical analysis and scientific computing, including numerical PDEs and optimization algorithms.
New Book
Ubiquitous Laplacian, 2026
Selected Recent Work
- K. Wu, X. Zhang and C.-W. Shu, High Order Numerical Methods Preserving Invariant Domain for Hyperbolic and Related Systems, to appear in SIAM Review. PDF arXiv
- C. Liu, D. Milesis, C.-W. Shu, and X. Zhang, Efficient optimization-based invariant-domain-preserving limiters in solving gas dynamics equations. PDF arXiv
- A. Anshika, J. Li, D. Ghosh and X. Zhang, A Three-Operator Splitting Scheme Derived from Three-Block ADMM, Optimization and Engineering (2025). DOI PDF Published PDF Code
- E. Gil Torres, M. Jacobs, and X. Zhang, Asymptotic Linear Convergence of ADMM for Isotropic TV Norm Compressed Sensing. PDF arXiv
- 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 Demo
Opportunities
If you are seeking graduate/postdoc opportunities in applied and computational math, feel free to contact me.