185 citations · 730 across the 53 of their papers we have counts for
12 papers · 1 filter
A Tensor-Train Discontinuous Galerkin Method for the Vlasov-Maxwell System
Rujeko Chinomona, Dibyendu Adak, William J. Barham +4
We present a tensor-train discontinuous Galerkin (TT-DG) formulation for the Vlasov--Maxwell system that combines a modal DG discretization with low-rank tensor representations of…
Space-Time Spectral Collocation Tensor-Network Approach for Maxwell's Equations
Dibyendu Adak, Rujeko Chinomona, Duc P. Truong +3
In this work, we develop a space--time Chebyshev spectral collocation method for three-dimensional Maxwell's equations and combine it with tensor-network techniques in Tensor-Train…
A Tensor Train-Based Isogeometric Solver for Large-Scale 3D Poisson Problems on Complex Geometries
Quoc Thai Tran, Duc P. Truong, Kim Ø. Rasmussen +1
We introduce a three-dimensional (3D) fully tensor train (TT)-assembled isogeometric analysis (IGA) framework, TT-IGA, for solving partial differential equations (PDEs) on complex…
Tensor-Train Operator Inference
Engin Danis, Duc Truong, Kim Ø. Rasmussen§ +1
In this study, we present a tensor--train framework for nonintrusive operator inference aimed at learning discrete operators and using them to predict solutions of physical governi…
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…
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…