Showing math.NAShow all
2 papers · 1 filter
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.NA2023
Accurate Data-Driven Surrogates of Dynamical Systems for Forward Propagation of Uncertainty
Saibal De, Reese E. Jones, Hemanth Kolla
Stochastic collocation (SC) is a well-known non-intrusive method of constructing surrogate models for uncertainty quantification. In dynamical systems, SC is especially suited for…