Xiangxiong Zhang
Purdue
University Department of
Mathematics — West Lafayette, IN
Position
Professor
Contact
Office: MATH 450
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.
Current Teaching
New Book
Ubiquitous Laplacian, 2026
Selected Recent Work
- J. Li, S. Zheng and X. Zhang, Global convergence of an efficient splitting method for the defocusing Gross--Pitaevskii ground state problem. PDFarXiv
- Y. Wu, S. Becker, J.-M. Qiu and X. Zhang, Nonnegative Low-Rank Matrix Correction under an Orthogonality Constraint in Conservative Vlasov Simulations. PDF arXiv
- X. Liu and X. Zhang, A Simple GPU-Accelerated Solver for the Schrödinger Operator with Applications to Ground States and Hamiltonian Simulation. PDF arXiv Code
- 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
- E. Gil Torres, M. Jacobs, and X. Zhang, Asymptotic Linear Convergence of ADMM for Isotropic TV Norm Compressed Sensing, Journal of Optimization Theory and Applications, Volume 210, article number 66 (2026). DOIPDF arXiv
Opportunities
If you are seeking graduate/postdoc opportunities in applied and computational math, feel free to contact me.