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math.NA2026
A hybrid TT/QTT discontinuous Galerkin method with fixed-matrix upwinding for three-dimensional transient multigroup neutron transport
Dibyendu Adak, Radoslav Vuchkov, Oleg Korobkin +2
We develop a hybrid tensor-train/quantized tensor-train (TT/QTT) upwind discontinuous Galerkin method for three-dimensional transient multigroup neutron transport. The central cont…
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…