When simulating a mechanism from science or engineering, or an industrial process, one is
frequently required to construct a mathematical model, and then resolve this model …

To compute the effective properties of random heterogeneous materials, a number of
different boundary conditions are used to define the apparent properties on cells of finite …

The conventional approach to data-driven inversion framework is based on Gaussian
statistics that presents serious difficulties, especially in the presence of outliers in the …

In this paper, we propose and analyze the numerical algorithms for fast solution of periodic
elliptic problems in random media in ℝ d R^ d, d= 2, 3 d= 2, 3. Both the two‐dimensional …

Many of today's problems require techniques that involve the solution of arbitrarily large
systems A x= b. A popular numerical approach is the so-called Greedy Rank-One Update …

In this paper, we present numerical methods suitable for solving convex quadratic fractional
differential equation (FDE) constrained optimization problems, with box constraints on the …

We introduce the tensor numerical method for solving optimal control problems that are
constrained by fractional two‐(2D) and three‐dimensional (3D) elliptic operators with …

Recently the rank-structured tensor approach suggested a progress in the numerical
treatment of the long-range electrostatics in many-particle systems and the respective …

Tensor numerical methods, based on the rank-structured tensor representation of d-variate
functions and operators discretized on large n⊗ d grids, are designed to provide O (dn) …

The conventional approach to data-driven inversion framework is based on Gaussian
statistics that presents serious difficulties, especially in the presence of outliers in the …