102 citations · 329 across the 25 of their papers we have counts for
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math.NA2016
Rank structured approximation method for quasi--periodic elliptic problems
B. Khoromskij, S. Repin
We consider an iteration method for solving an elliptic type boundary value problem , where a positive definite operator is generated by a quasi--per…
math.NA2016★ 4 cited
Range-separated tensor formats for numerical modeling of many-particle interaction potentials
Peter Benner, Venera Khoromskaia, Boris N. Khoromskij
We introduce and analyze the new range-separated (RS) canonical/Tucker tensor format which aims for numerical modeling of the 3D long-range interaction potentials in multi-particle…
math.NA2016★ 24 cited
Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation
Peter Benner, Sergey Dolgov, Venera Khoromskaia +1
In this paper, we study and implement the structural iterative eigensolvers for the large-scale eigenvalue problem in the Bethe-Salpeter equation (BSE) based on the reduced basis a…