Maxim V. Rakhuba

activity

20192026

most citedTensor Rank bounds for Point Singularities in

R^{3}

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.NA2026

Riemannian optimization on low-rank tensor train manifolds for the Gross-Pitaevskii equation

Ivan Bioli, Carlo Marcati, Maxim Rakhuba

This work is concerned with the numerical computation of Gross-Pitaevskii ground states using the tensor train (TT) format. We regard the problem as the minimization of the Gross-P…

math.NA2020

Low rank tensor approximation of singularly perturbed partial differential equations in one dimension

Carlo Marcati, Maxim Rakhuba, Johan E. M. Ulander

We derive rank bounds on the quantized tensor train (QTT) compressed approximation of singularly perturbed reaction diffusion partial differential equations (PDEs) in one dimension…

math.NA2019★ 1 cited

Tensor Rank bounds for Point Singularities in $R^{3}$

Carlo Marcati, Maxim Rakhuba, Christoph Schwab

We analyze rates of approximation by quantized, tensor-structured representations of functions with isolated point singularities in $R^{3}$ . We consider functions in counta…

Riemannian optimization on low-rank tensor train manifolds for the Gross-Pitaevskii equation

Low rank tensor approximation of singularly perturbed partial differential equations in one dimension

Tensor Rank bounds for Point Singularities in R3

Tensor Rank bounds for Point Singularities in $R^{3}$