6 citations · 6 across the 3 of their papers we have counts for
3 papers
Viability of Tensor Train Methods for Geophysical Fluid Dynamics
Jeremy Lilly, Derek DeSantis, Mark R. Petersen
Tensor train (TT) methods have recently gained popularity for accelerating the solving of systems of PDEs. Here, we evaluate the performance of TT methods in the context of geophys…
High-order Tensor-Train Finite Volume Method for Shallow Water Equations
Mustafa Engin Danis, Duc P. Truong, Derek DeSantis +3
In this paper, we introduce a high-order tensor-train (TT) finite volume method for the Shallow Water Equations (SWEs). We present the implementation of the order Upwind a…
Local Time-Stepping for the Shallow Water Equations using CFL Optimized Forward-Backward Runge-Kutta Schemes
Jeremy R. Lilly, Giacomo Capodaglio, Darren Engwirda +2
The Courant-Friedrichs-Lewy (CFL) condition is a well known, necessary condition for the stability of explicit time-stepping schemes that effectively places a limit on the size of…