257 citations · 1.1k across the 33 of their papers we have counts for
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Computation of the Response Surface in the Tensor Train data format
Sergey Dolgov, Boris N. Khoromskij, Alexander Litvinenko +1
We apply the Tensor Train (TT) approximation to construct the Polynomial Chaos Expansion (PCE) of a random field, and solve the stochastic elliptic diffusion PDE with the stochasti…
A tensor decomposition algorithm for large ODEs with conservation laws
Sergey V. Dolgov
We propose an algorithm for solution of high-dimensional evolutionary equations (ODEs and discretized time-dependent PDEs) in the Tensor Train (TT) decomposition, assuming that the…
Exact NMR simulation of protein-size spin systems using tensor train formalism
D. V. Savostyanov, S. V. Dolgov, J. M. Werner +1
We introduce a new method, based on alternating optimization, for compact representation of spin Hamiltonians and solution of linear systems of algebraic equations in the tensor tr…