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Center for Nonlinear Studies

Jeremy Lilly

CNLS Postdoctoral Research Associate
CCS-2

Numerical methods for geophysical fluids

Office: TA-3, Bldg 200, Room 273
Mail Stop: B258
Email: jlilly@lanl.gov

Research highlight

My work is focused on numerical methods for geophysical fluids, with a focus on developing methods that allow these problems to be solved more efficiently. Currently, I am working on applying tensor networks to geophysical fluids problems on the sphere with the long-term goal of accelerating models at the climate-scale.

Talks at CNLS:

May 5th, 2025 - Colloquium: Towards Tensor Decompositions for Geophysical Fluids
Apr 2nd, 2026 - Postdoc Seminar: Viability of Tensor Train Methods for Geophysical Fluids

Educational Background/Employment:

Ph.D., Mathematics, Oregon State University, 2024

Research Interests:

Numerical methods
Time-stepping
Tensor network methods

Google Scholar

Selected Recent Publications:

Jeremy R. Lilly, Giacomo Capodaglio, Darren Engwirda, Robert L. Higdon, and Mark R. Petersen. Local Time-Stepping for the Shallow Water Equations Using CFL Optimized Forward-Backward Runge-Kutta Schemes (2025) 10.1016/j.jcp.2024.113511
Jeremy R. Lilly, Darren Engwirda, Giacomo Capodaglio, Robert L. Higdon, and Mark R. Petersen. . CFL Optimized Forward–Backward Runge–Kutta Schemes for the Shallow-Water Equations (2023) 10.1175/MWR-D-23-0113.1
Jeremy R. Lilly, Giacomo Capodaglio, Mark R. Petersen, Steven R. Brus, Darren Engwirda, and Robert L. Higdon. Storm Surge Modeling as an Application of Local Time-Stepping in MPAS-Ocean (2023) 10.1029/2022MS003327