Petr N. Vabishchevich

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Eric T. Chung
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Wing Tat Leung
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Oleg Iliev
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Valery F. Strizhov
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Vasiliy V. Grigoriev
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Alexander V. Avvakumov
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Alexander O. Vasilev
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research

∙ 01/14/2023

Nonlinear approximation of functions based on non-negative least squares solver

In computational practice, most attention is paid to rational approximat...

0 Petr N. Vabishchevich, et al. ∙

research

∙ 06/24/2022

Subdomain solution decomposition method for nonstationary problems

The reduction of computational costs in the numerical solution of nonsta...

0 Petr N. Vabishchevich, et al. ∙

research

∙ 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...

0 Yalchin Efendiev, et al. ∙

research

∙ 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...

0 Petr N. Vabishchevich, et al. ∙

research

∙ 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...

0 Petr N. Vabishchevich, et al. ∙

research

∙ 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...

0 Petr N. Vabishchevich, et al. ∙

research

∙ 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...

0 Petr N. Vabishchevich, et al. ∙

research

∙ 02/25/2021

Contrast-independent partially explicit time discretizations for multiscale wave problems

In this work, we design and investigate contrast-independent partially e...

0 Eric T. Chung, et al. ∙

research

∙ 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...

0 Eric T. Chung, et al. ∙

research

∙ 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...

0 Petr N. Vabishchevich, et al. ∙

research

∙ 11/17/2020

Splitting Schemes for Some Second-Order Evolution Equations

We consider the Cauchy problem for a second-order evolution equation, in...

0 Petr N. Vabishchevich, et al. ∙

research

∙ 11/11/2020

Temporal Splitting algorithms for non-stationary multiscale problems

In this paper, we study temporal splitting algorithms for multiscale pro...

0 Yalchin Efendiev, et al. ∙

research

∙ 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...

0 Aleksandr E. Kolesov, et al. ∙

research

∙ 08/18/2020

Splitting methods for solution decomposition in nonstationary problems

In approximating solutions of nonstationary problems, various approaches...

0 Yalchin Efendiev, et al. ∙

research

∙ 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...

0 Vasiliy V. Grigoriev, et al. ∙

research

∙ 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 ...

0 Vasiliy V. Grigoriev, et al. ∙

research

∙ 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...

0 Petr N. Vabishchevich, et al. ∙

research

∙ 05/26/2019

Approximation of a fractional power of an elliptic operator

Some mathematical models of applied problems lead to the need of solving...

0 Petr N. Vabishchevich, et al. ∙

research

∙ 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...

0 Alexander V. Avvakumov, et al. ∙

research

∙ 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...

0 Petr N. Vabishchevich, et al. ∙

research

∙ 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...

0 Alexander G. Churbanov, et al. ∙

research

∙ 01/19/2018

Decoupling schemes for predicting compressible fluid flows

Numerical simulation of compressible fluid flows is performed using the ...

0 Petr N. Vabishchevich, et al. ∙

research

∙ 11/19/2017

Two-level schemes for the advection equation

The advection equation is the basis for mathematical models of continuum...

0 Petr N. Vabishchevich, et al. ∙

research

∙ 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...

0 Alexander G. Churbanov, et al. ∙

research

∙ 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...

0 Alexander V. Avvakumov, et al. ∙

research

∙ 05/19/2017

Fundamental mode exact schemes for unsteady problems

The problem of increasing the accuracy of an approximate solution is con...

0 Petr N. Vabishchevich, et al. ∙

research

∙ 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...

0 Petr N. Vabishchevich, et al. ∙

research

∙ 04/12/2017

Numerical solution of time-dependent problems with fractional power elliptic operator

An unsteady problem is considered for a space-fractional equation in a b...

0 Petr N. Vabishchevich, et al. ∙

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