Shukai Du (CV)
Assistant Professor
Department of Mathematics
Syracuse University
Office: Carnegie 206D
Email: sdu113@syr.edu
Google Scholar profile
I am an Assistant Professor in the Department of Mathematics at Syracuse University. Before joining Syracuse, I was a Visiting Assistant Professor at the University of Wisconsin–Madison (2020–2024). I received my PhD in Applied Mathematics from the University of Delaware.
My research is motivated by the observation that many problems in science and engineering share common mathematical structures. I am interested in identifying, understanding, and leveraging these structures with analytical and computational approaches. I value both mathematical rigor and practical utility, and view them as complementary goals. My current research focuses on high-order numerical methods for high-dimensional and multiscale systems, machine learning acceleration of first-principles numerical methods, and applications including electromagnetic waves, radiative transfer, and inverse problems.
News
- May 2026 NSF grant DMS–2608769 (PI): Efficient high-order methods for radiative transfer via substructuring.
- May 2026 Preprint: Lagrangian flow matching: a least-action framework for principled path design. arXiv:2605.15419
- Mar 2026 Talk at Mathematical Sciences Colloquium, Rensselaer Polytechnic Institute.
- Feb 2026 Keynote at Winter Research Symposium, University of Delaware.
- Jan 2026 Paper: Angular-spatial hp-adaptivity for radiative transfer with discontinuous Galerkin spectral element methods. J. Quant. Spectrosc. Radiat. Transf. 348 (2026). DOI
- Jan 2026 Submitted paper: Element learning with hp-adaptivity: machine learning-based acceleration of hp-adaptive spectral element methods, and application to atmospheric radiative transfer.
- Nov 2025 Talk at SIAM New York–New Jersey–Pennsylvania Section.
- Nov 2025 Submitted paper: A spectral analysis of hp-hybridized mixed and HDG methods for parametric second-order elliptic problems.
- Oct 2025 Minisymposium organizer, SIAM Pacific Northwest Section: Recent Developments on Hybrid Methods Combining Neural Networks with Classical Numerical Methods.
- Oct 2025 Paper: Can second-order numerical accuracy be achieved for moist atmospheric dynamics with non-smoothness at cloud edge? J. Adv. Model. Earth Syst. 17 (2025). DOI
- Jul 2025 Talk at HKSIAM Biennial Conference, Chinese University of Hong Kong.
- Mar 2025 Talk at SIAM Sectional Meeting, Fort Worth.
Research keywords
- Finite element and discontinuous Galerkin methods
- Scientific machine learning and data-driven approaches
- Symplectic and structure-preserving methods
- Adaptive mesh solver for radiative transfer
- Electromagnetic and elastic/viscoelastic waves
- Computational inverse and ill-posed problems