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
- Y. Wu, S. Becker, J.-M. Qiu and X. Zhang, Nonnegative Low-Rank Matrix Correction under an Orthogonality Constraint in Conservative Vlasov Simulations. PDF
- 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
- X. Zhang and H. Zhou, Computing the Gross–Pitaevskii Ground State via Wasserstein Gradient Flow in Diffeomorphism Space, submitted to CAMWA 50 in Computers and Mathematics with Applications. PDF arXiv
- 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. 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
Opportunities
If you are seeking graduate/postdoc opportunities in applied and computational math, feel free to contact me.