4 citations · 5 across the 6 of their papers we have counts for
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The low-rank tensor-train finite difference method for three-dimensional parabolic equations
Gianmarco Manzini, Tommaso Sorgente
This paper presents a numerical framework for the low-rank approximation of the solution to three-dimensional parabolic problems. The key contribution of this work is the tensoriza…
A Fast, Accurate and Oscillation-free Spectral Collocation Solver for High-dimensional Transport Problems
Nicola Cavallini, Gianmarco Manzini, Daniele Funaro +1
Transport phenomena-describing the movement of particles, energy, or other physical quantities-are fundamental in various scientific disciplines, including nuclear physics, plasma…
A Low-Rank QTT-based Finite Element Method for Elasticity Problems
Elena Benvenuti, Gianmarco Manzini, Marco Nale +1
We present an efficient and robust numerical algorithm for solving the two-dimensional linear elasticity problem that combines the Quantized Tensor Train format and a domain partit…