Petr N. Vabishchevich

Orcid: 0000-0002-2040-4411

Affiliations:
  • Russian Academy of Sciences, Nuclear Safety Institute, Moscow, Russia


According to our database1, Petr N. Vabishchevich authored at least 106 papers between 1996 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Computational decomposition and composition technique for approximate solution of nonstationary problems.
CoRR, 2024

2023
Nonlinear approximation of functions based on nonnegative least squares solver.
Numer. Linear Algebra Appl., December, 2023

Subdomain solution decomposition method for nonstationary problems.
J. Comput. Phys., 2023

Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations.
J. Comput. Phys., 2023

Approximate solution of the Cauchy problem for a first-order integrodifferential equation with solution derivative memory.
J. Comput. Appl. Math., 2023

Operator-difference schemes on non-uniform grids for second-order evolutionary equations.
CoRR, 2023

Nonlinear approximation of functions based on non-negative least squares solver.
CoRR, 2023

2022
Contrast-independent partially explicit time discretizations for multiscale wave problems.
J. Comput. Phys., 2022

Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator.
J. Comput. Appl. Math., 2022

Factorized Schemes for First and Second Order Evolution Equations with Fractional Powers of Operators.
Comput. Methods Appl. Math., 2022

Numerical solution of the heat conduction problem with memory.
Comput. Math. Appl., 2022

On Parameter Identification for Reaction-Dominated Pore-Scale Reactive Transport Using Modified Bee Colony Algorithm.
Algorithms, 2022

2021
Temporal splitting algorithms for non-stationary multiscale problems.
J. Comput. Phys., 2021

Contrast-independent partially explicit time discretizations for multiscale flow problems.
J. Comput. Phys., 2021

An approximate representation of a solution to fractional elliptical BVP via solution of parabolic IVP.
J. Comput. Appl. Math., 2021

Numerical solution of the Cauchy problem for Volterra integrodifferential equations with difference kernels.
CoRR, 2021

Splitting methods for solution decomposition in nonstationary problems.
Appl. Math. Comput., 2021

Decoupling Methods for Systems of Parabolic Equations.
Proceedings of the Large-Scale Scientific Computing - 13th International Conference, 2021

Numerical Solution of Non-stationary Problems with a Rational Approximation for Fractional Powers of the Operator.
Proceedings of the Large-Scale Scientific Computing - 13th International Conference, 2021

2020
Approximation of a fractional power of an elliptic operator.
Numer. Linear Algebra Appl., 2020

Computational identification of adsorption and desorption parameters for pore scale transport in periodic porous media.
J. Comput. Appl. Math., 2020

High order numerical schemes for solving fractional powers of elliptic operators.
J. Comput. Appl. Math., 2020

Splitting Schemes for Non-Stationary Problems with a Rational Approximation for Fractional Powers of the Operator.
CoRR, 2020

Splitting Schemes for Some Second-Order Evolution Equations.
CoRR, 2020

Numerical recovery of the piecewise constant leading coefficient of an elliptic equation.
CoRR, 2020

Modified Bee Colony optimization algorithm for computational parameter identification for pore scale transport in periodic porous media.
CoRR, 2020

Incomplete Iterative Implicit Schemes.
Comput. Methods Appl. Math., 2020

Modern Problems of Numerical Analysis. On the Centenary of the Birth of Alexander Andreevich Samarskii.
Comput. Methods Appl. Math., 2020

Two-level schemes of Cauchy problem method for solving fractional powers of elliptic operators.
Comput. Math. Appl., 2020

2019
Numerical simulation of charged Fullerene spectrum.
Math. Model. Anal., 2019

Numerical solution of boundary value problems for the eikonal equation in an anisotropic medium.
J. Comput. Appl. Math., 2019

Approximate representation of the solutions of fractional elliptical BVP through the solution of parabolic IVP.
CoRR, 2019

Numerical modeling of neutron transport in SP3 approximation by finite element method.
CoRR, 2019

Identification of a Time-Dependent Right-Hand Side of an Unsteady Equation with a Fractional Power of an Elliptic Operator.
Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

Computational Identification of Adsorption and Desorption Parameters for Pore Scale Transport in Random Porous Media.
Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

High-Order Two and Three Level Schemes for Solving Fractional Powers of Elliptic Operators.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

2018
Two-level schemes for the advection equation.
J. Comput. Phys., 2018

Two-component domain decomposition scheme with overlapping subdomains for parabolic equations.
J. Comput. Appl. Math., 2018

Splitting schemes for the stress formulation of the incompressible Navier-Stokes equations.
J. Comput. Appl. Math., 2018

Flux formulation of parabolic equations with highly heterogeneous coefficients.
J. Comput. Appl. Math., 2018

Computational identification of the lowest space-wise dependent coefficient of a parabolic equation.
CoRR, 2018

Decoupling schemes for predicting compressible fluid flows.
CoRR, 2018

Numerical Solution of Time-Dependent Problems with Fractional Power Elliptic Operator.
Comput. Methods Appl. Math., 2018

Identification of the Right-Hand Side of an Equation with a Fractional Power of an Elliptic Operator.
Proceedings of the Numerical Methods and Applications - 9th International Conference, 2018

Iterative Process for Numerical Recovering the Lowest Order Space-Wise Coefficient in Parabolic Equations.
Proceedings of the Finite Difference Methods. Theory and Applications, 2018

Numerical Solving a Boundary Value Problem for the Eikonal Equation.
Proceedings of the Finite Difference Methods. Theory and Applications, 2018

Automatic Time Step Selection for Numerical Solution of Neutron Diffusion Problems.
Proceedings of the Finite Difference Methods. Theory and Applications, 2018

2017
Numerical simulation of oxidation processes in a cross-flow around tube bundles.
CoRR, 2017

Fundamental mode exact schemes for unsteady problems.
CoRR, 2017

State change modal method for numerical simulation of dynamic processes in a nuclear reactor.
CoRR, 2017

Factorized Schemes of Second-Order Accuracy for Numerically Solving Unsteady Problems.
Comput. Methods Appl. Math., 2017

Preface: Numerical Analysis of Fractional Differential Equations.
Comput. Methods Appl. Math., 2017

Two Classes of Vector Domain Decomposition Schemes for Time-Dependent Problems with Overlapping Subdomains.
Proceedings of the Large-Scale Scientific Computing - 11th International Conference, 2017

Solution of the 3D Neutron Diffusion Benchmark by FEM.
Proceedings of the Large-Scale Scientific Computing - 11th International Conference, 2017

2016
Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts.
J. Comput. Phys., 2016

An operator-splitting scheme for the stream function-vorticity formulation of the unsteady Navier-Stokes equations.
J. Comput. Appl. Math., 2016

Iterative computational identification of a spacewise dependent the source in a parabolic equations.
CoRR, 2016

Splitting schemes for unsteady problems involving the grad-div operator.
CoRR, 2016

Splitting schemes with respect to physical processes for double-porosity poroelasticity problems.
CoRR, 2016

A Splitting Scheme to Solve an Equation for Fractional Powers of Elliptic Operators.
Comput. Methods Appl. Math., 2016

A Singularly Perturbed Boundary Value Problems with Fractional Powers of Elliptic Operators.
Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016

The Inverse Problem of the Simultaneous Determination of the Right-Hand Side and the Lowest Coefficients in Parabolic Equations.
Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016

Numerical Simulation of Heat Transfer of the Pile Foundations with Permafrost.
Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016

Numerical Solution of Thermoporoelasticity Problems.
Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016

Numerical Analysis of Reinforced Concrete Deep Beams.
Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016

Algorithms for Numerical Simulation of Non-stationary Neutron Diffusion Problems.
Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016

2015
Numerically solving an equation for fractional powers of elliptic operators.
J. Comput. Phys., 2015

Numerical solving unsteady space-fractional problems with the square root of an elliptic operator.
CoRR, 2015

Factorized schemes of second-order accuracy for numerical solving unsteady problems.
CoRR, 2015

Numerical simulation of the stress-strain state of the dental system.
CoRR, 2015

Explicit schemes for parabolic and hyperbolic equations.
Appl. Math. Comput., 2015

Operator-Difference Scheme with a Factorized Operator.
Proceedings of the Large-Scale Scientific Computing - 10th International Conference, 2015

2014
Additive schemes (splitting schemes) for some systems of evolutionary equations.
Math. Comput., 2014

Domain decomposition methods with overlapping subdomains for time-dependent problems.
CoRR, 2014

Numerical solution of nonstationary problems for a space-fractional diffusion equation.
CoRR, 2014

Numerical solving the boundary value problem for fractional powers of elliptic operators.
CoRR, 2014

Splitting schemes for poroelasticity and thermoelasticity problems.
Comput. Math. Appl., 2014

Explicit-Implicit Splitting Schemes for Parabolic Equations and Systems.
Proceedings of the Numerical Methods and Applications - 8th International Conference, 2014

Computational Algorithm for Identification of the Right-Hand Side of the Parabolic Equation.
Proceedings of the Finite Difference Methods, Theory and Applications, 2014

Time Step for Numerically Solving Parabolic Problems.
Proceedings of the Finite Difference Methods, Theory and Applications, 2014

Numerical Simulation of Thermoelasticity Problems on High Performance Computing Systems.
Proceedings of the Finite Difference Methods, Theory and Applications, 2014

Splitting Scheme for Poroelasticity and Thermoelasticity Problems.
Proceedings of the Finite Difference Methods, Theory and Applications, 2014

2013
Numerical solving the identification problem for the lower coefficient of parabolic equation
CoRR, 2013

A priori estimation of a time step for numerically solving parabolic problems.
CoRR, 2013

The Contribution of Piotr Matus to Computational Mathematics.
Comput. Methods Appl. Math., 2013

Unconditionally Monotone Schemes for Unsteady Convection-Diffusion Problems.
Comput. Methods Appl. Math., 2013

Mathematical Modeling of Thermal Stabilization of Vertical Wells on High Performance Computing Systems.
Proceedings of the Large-Scale Scientific Computing - 9th International Conference, 2013

2012
On a new class of additive (splitting) operator-difference schemes.
Math. Comput., 2012

Numerical Methods for Solving Convection-Diffusion Problems
CoRR, 2012

Flux-Splitting Schemes for Parabolic Problems.
Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012

Unconditionally Stable Schemes for Non-stationary Convection-Diffusion Equations.
Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012

2011
Finite-difference analysis of fully dynamic problems for saturated porous media.
J. Comput. Appl. Math., 2011

Iterative methods for solving the pressure problem at multiphase filtration
CoRR, 2011

Domain decomposition schemes for the Stokes equation
CoRR, 2011

Domain decomposition schemes for evolutionary equations of first order with not self-adjoint operators
CoRR, 2011

A Substructuring Domain Decomposition Scheme for Unsteady Problems.
Comput. Methods Appl. Math., 2011

2010
Splitting schemes for hyperbolic heat conduction equation
CoRR, 2010

VAGO method for the solution of elliptic second-order boundary value problems
CoRR, 2010

SM Stability for Time-Dependent Problems.
Proceedings of the Numerical Methods and Applications - 7th International Conference, 2010

2009
Works of A.A. Samarskii on Computational Mathematics.
Comput. Methods Appl. Math., 2009

2006
The Vector Analysis Grid Operators for Applied Problems.
Proceedings of the Numerical Methods and Applications, 6th International Conference, 2006

2002
Additive Schemes for Systems of Time-Dependent Equations of Mathematical Physics.
Proceedings of the Numerical Methods and Applications, 5th International Conference, 2002

Finite Difference Scheme for Filtration and Consolidation Problems.
Proceedings of the Numerical Methods and Applications, 5th International Conference, 2002

1999
A Multi-Block Orthogonal Grid Generation Using CAD System.
Proceedings of the 8th International Meshing Roundtable, 1999

1997
Solving Problems of Continuation of Unsteady Fields Based on Local Point Measurements.
Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1997

1996
Numerical Techniques for Solving Convection-Diffusion Problems.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996


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