Derek DeSantis

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20242026

most citedSpace-Time Spectral Element Tensor Network Approach for Time Dependent Convection Diffusion Reaction Equation with Variable Coefficients

2 citations · 3 across the 5 of their papers we have counts for

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math.NA2024★ 2 cited

Space-Time Spectral Element Tensor Network Approach for Time Dependent Convection Diffusion Reaction Equation with Variable Coefficients

Dibyendu Adak, Duc P. Truong, Radoslav Vuchkov +5

In this paper, we present a new space-time Petrov-Galerkin-like method. This method utilizes a mixed formulation of Tensor Train (TT) and Quantized Tensor Train (QTT), designed for…

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 $3^{r d}$ order Upwind a…