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20182022
most citedTensor Method for Optimal Control Problems Constrained by Fractional 3D Elliptic Operator with Variable Coefficients

3 citations · 5 across the 4 of their papers we have counts for

collaborators

5 papers

math.NA2022

Reduced Higher Order SVD: ubiquitous rank-reduction method in tensor-based scientific computing

Venera Khoromskaia, Boris N. Khoromskij

Tensor numerical methods, based on the rank-structured tensor representation of -variate functions and operators, are designed to provide complexity of numerical calcula…

math.NA2021

Tensor numerical method for optimal control problems constrained by an elliptic operator with general rank-structured coefficients

Boris N. Khoromskij, Britta Schmitt, Volker Schulz

We introduce tensor numerical techniques for solving optimal control problems constrained by elliptic operators in , , with variable coefficients, which can be…

math.NA20202 cited

Tensor-based techniques for fast discretization and solution of 3D elliptic equations with random coefficients

Venera Khoromskaia, Boris N. Khoromskij

In this paper, we propose and analyze the numerical algorithms for fast solution of periodic elliptic problems in random media in , . We consider the stochasti…

math.NA20203 cited

Tensor Method for Optimal Control Problems Constrained by Fractional 3D Elliptic Operator with Variable Coefficients

Britta Schmitt, Boris N. Khoromskij, Venera Khoromskaia +1

We introduce the tensor numerical method for solving optimal control problems that are constrained by fractional 2D and 3D elliptic operators with variable coefficients. We solve t…

math.NA2018

Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints

Gennadij Heidel, Venera Khoromskaia, Boris N. Khoromskij +1

We introduce the tensor numerical method for solution of the -dimensional optimal control problems with fractional Laplacian type operators in constraints discretized on large $…