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math.NA2024
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…
math.NA2024★ 1 cited
Tensor-Train WENO Scheme for Compressible Flows
Mustafa Engin Danis, Duc Truong, Ismael Boureima +3
In this study, we introduce a tensor-train (TT) finite difference WENO method for solving compressible Euler equations. In a step-by-step manner, the tensorization of the governing…