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My research interests are in structure-preserving numerical methods, data-driven/machine learning methods, as well as their applications in the mathematical sciences. Currently, I focus on three related areas: Structure-Preserving Numerical Methods Structure-Preserving Data-Driven/Machine Learning...

Current students Ph.D. students John Gallagher, UC Merced (September 2024 – present) Pratham Lalwani, UC Merced (September 2024 – present) Undergraduate students Jakub Stavina, University of Manchester (July 2024 – present) Past postdocs and students Postdoctoral researcher Dr. Geoffrey McGregor...

Preprints J. Hu, S. Q. Van Fleet, A. T. S. Wan, Fully discrete entropy-dissipative and conservative particle methods for the aggregation-diffusion and Landau equations, 22 pages, arXiv:2407.00533 (to appear in SIAM Journal of Scientific Computing, 2025) G. McGregor and A. T. S. Wan, Conservative...

Summer School NSF-PIMS: Structure-Preserving Scientific Computing and Machine Learning Summer School and Hackathon (Seattle, Jun 2025) co-organized with Jingwei Hu, Steven Ruuth and Raymond Spiteri Workshops BIRS 5-day Workshop, Structured Machine Learning and Time–Stepping for Dynamical Systems...

University of California, Merced MATH 231 Numerical Solution of Differential Equations I (Spring 2025) MATH 023 Vector Calculus (Spring 2024) University of Northern British Columbia MATH 335 Introduction to Numerical Methods (Winter 2023) MATH 230 Ordinary Differential Equations and Boundary Value...

Recent Talks Applied Math Seminar (University of California, Santa Barbara, Apr 2025) UCSB Applied Math/PDE/Data Science Seminar SIAM Conference on Computational Science and Engineering (Fort Worth, Mar 2025) MS: Time Integration of Dynamical Systems Using Machine Learning Center for Applied...