
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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Contrastindependent partially explicit time discretizations for multiscale wave problems
In this work, we design and investigate contrastindependent partially e...
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Contrastindependent 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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Splitting Schemes for NonStationary Problems with a Rational Approximation for Fractional Powers of the Operator
Problems of the numerical solution of the Cauchy problem for a firstord...
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Splitting Schemes for Some SecondOrder Evolution Equations
We consider the Cauchy problem for a secondorder evolution equation, in...
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Temporal Splitting algorithms for nonstationary multiscale problems
In this paper, we study temporal splitting algorithms for multiscale pro...
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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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Splitting methods for solution decomposition in nonstationary problems
In approximating solutions of nonstationary problems, various approaches...
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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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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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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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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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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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Computational identification of the lowest spacewise dependent coefficient of a parabolic equation
In the present work, we consider a nonlinear inverse problem of identify...
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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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Decoupling schemes for predicting compressible fluid flows
Numerical simulation of compressible fluid flows is performed using the ...
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Twolevel schemes for the advection equation
The advection equation is the basis for mathematical models of continuum...
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Numerical simulation of oxidation processes in a crossflow around tube bundles
An oxidation process is simulated for a bundle of metal tubes in a cross...
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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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Fundamental mode exact schemes for unsteady problems
The problem of increasing the accuracy of an approximate solution is con...
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Twocomponent domain decomposition scheme with overlapping subdomains for parabolic equations
An iterationfree method of domain decomposition is considered for appro...
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Numerical solution of timedependent problems with fractional power elliptic operator
An unsteady problem is considered for a spacefractional equation in a b...
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Petr N. Vabishchevich
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