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01/14/2023
Nonlinear approximation of functions based on non-negative least squares solver
In computational practice, most attention is paid to rational approximat...
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06/24/2022
Subdomain solution decomposition method for nonstationary problems
The reduction of computational costs in the numerical solution of nonsta...
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04/01/2022
Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations
In this paper, we consider a class of convection-diffusion equations wit...
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11/28/2021
Numerical solution of the heat conduction problem with memory
It is necessary to use more general models than the classical Fourier he...
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11/09/2021
Approximate solution of the Cauchy problem for a first-order integrodifferential equation with solution derivative memory
We consider the Cauchy problem for a first-order evolution equation with...
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10/28/2021
Numerical solution of the Cauchy problem for Volterra integrodifferential equations with difference kernels
We consider the problems of the numerical solution of the Cauchy problem...
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05/21/2021
Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator
Several applied problems are characterized by the need to numerically so...
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02/25/2021
Contrast-independent partially explicit time discretizations for multiscale wave problems
In this work, we design and investigate contrast-independent partially e...
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01/13/2021
Contrast-independent partially explicit time discretizations for multiscale flow problems
Many multiscale problems have a high contrast, which is expressed as a v...
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12/05/2020
Splitting Schemes for Non-Stationary Problems with a Rational Approximation for Fractional Powers of the Operator
Problems of the numerical solution of the Cauchy problem for a first-ord...
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11/17/2020
Splitting Schemes for Some Second-Order Evolution Equations
We consider the Cauchy problem for a second-order evolution equation, in...
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11/11/2020
Temporal Splitting algorithms for non-stationary multiscale problems
In this paper, we study temporal splitting algorithms for multiscale pro...
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09/01/2020
Numerical recovery of the piecewise constant leading coefficient of an elliptic equation
We propose a numerical algorithm for the reconstruction of a piecewise c...
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08/18/2020
Splitting methods for solution decomposition in nonstationary problems
In approximating solutions of nonstationary problems, various approaches...
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03/02/2020
Modified Bee Colony optimization algorithm for computational parameter identification for pore scale transport in periodic porous media
This paper discusses an optimization method called Modified Bee Colony a...
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12/09/2019
Computational identification of adsorption and desorption parameters for pore scale transport in periodic porous media
Computational identification of unknown adsorption and desorption rates ...
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10/23/2019
Approximate representation of the solutions of fractional elliptical BVP through the solution of parabolic IVP
Boundary value problem for a fractional power of an elliptic operator is...
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05/26/2019
Approximation of a fractional power of an elliptic operator
Some mathematical models of applied problems lead to the need of solving...
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03/27/2019
Numerical modeling of neutron transport in SP3 approximation by finite element method
The SP3 approximation of the neutron transport equation allows improving...
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04/09/2018
Computational identification of the lowest space-wise dependent coefficient of a parabolic equation
In the present work, we consider a nonlinear inverse problem of identify...
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02/17/2018
Numerical solution of boundary value problems for the eikonal equation in an anisotropic medium
A Dirichlet problem is considered for the eikonal equation in an anisotr...
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01/19/2018
Decoupling schemes for predicting compressible fluid flows
Numerical simulation of compressible fluid flows is performed using the ...
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11/19/2017
Two-level schemes for the advection equation
The advection equation is the basis for mathematical models of continuum...
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08/10/2017
Numerical simulation of oxidation processes in a cross-flow around tube bundles
An oxidation process is simulated for a bundle of metal tubes in a cross...
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06/16/2017
State change modal method for numerical simulation of dynamic processes in a nuclear reactor
Modeling of dynamic processes in nuclear reactors is carried out, mainly...
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05/19/2017
Fundamental mode exact schemes for unsteady problems
The problem of increasing the accuracy of an approximate solution is con...
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05/09/2017
Two-component domain decomposition scheme with overlapping subdomains for parabolic equations
An iteration-free method of domain decomposition is considered for appro...
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04/12/2017