Interested in numerical solution of partial differential equations, scientific computing, and modeling numerical solution of partial differential equations including irregular geometries: Discretization methods and grid generation for both geometry and solution adaption. Current projects are in High Order Time and Space Mimetic Difference Schemes for anisotropic non homogeneous materials. High Order Mimetic Schemes on overlapping grids. Interested in applications in coastal ocean dynamics and subsurface flow. Explore use of the Fourier neural operator to model Darcy Flow and
continuous-depth residual networks to solve systems of ordinary
differential equations with time-dependent parameters on our new DGX

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