Petr N. Vabishchevich

ORCID

Publication Activity (10 Years)

Years Active: 1996-2024
Publications (10 Years): 84

Top Venues

CoRR

J. Comput. Appl. Math.

J. Comput. Phys.

FDM

Publications

Petr N. Vabishchevich
Computational decomposition and composition technique for approximate solution of nonstationary problems. J. Comput. Appl. Math. 451 (2024)
Petr N. Vabishchevich
Computational decomposition and composition technique for approximate solution of nonstationary problems. CoRR (2024)
Petr N. Vabishchevich
Nonlinear approximation of functions based on nonnegative least squares solver. Numer. Linear Algebra Appl. 30 (6) (2023)
Petr N. Vabishchevich
Subdomain solution decomposition method for nonstationary problems. J. Comput. Phys. 472 (2023)
Petr N. Vabishchevich
Approximate solution of the Cauchy problem for a first-order integrodifferential equation with solution derivative memory. J. Comput. Appl. Math. 422 (2023)
Petr N. Vabishchevich
Operator-difference schemes on non-uniform grids for second-order evolutionary equations. CoRR (2023)
Yalchin Efendiev, Wing Tat Leung, Wenyuan Li, Sai-Mang Pun, Petr N. Vabishchevich
Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations. J. Comput. Phys. 472 (2023)
Petr N. Vabishchevich
Nonlinear approximation of functions based on non-negative least squares solver. CoRR (2023)
Yalchin Efendiev, Wing Tat Leung, Wenyuan Li, Sai-Mang Pun, Petr N. Vabishchevich
Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations. CoRR (2022)
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Petr N. Vabishchevich
Contrast-independent partially explicit time discretizations for multiscale wave problems. J. Comput. Phys. 466 (2022)
Petr N. Vabishchevich
Subdomain solution decomposition method for nonstationary problems. CoRR (2022)
Petr N. Vabishchevich
Numerical solution of the heat conduction problem with memory. Comput. Math. Appl. 118 (2022)
Vasiliy V. Grigoriev, Oleg Iliev, Petr N. Vabishchevich
On Parameter Identification for Reaction-Dominated Pore-Scale Reactive Transport Using Modified Bee Colony Algorithm. Algorithms 15 (1) (2022)
Petr N. Vabishchevich
Factorized Schemes for First and Second Order Evolution Equations with Fractional Powers of Operators. Comput. Methods Appl. Math. 22 (2) (2022)
Petr N. Vabishchevich
Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator. J. Comput. Appl. Math. 407 (2022)
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Petr N. Vabishchevich
Contrast-independent partially explicit time discretizations for multiscale flow problems. CoRR (2021)
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Petr N. Vabishchevich
Contrast-independent partially explicit time discretizations for multiscale flow problems. J. Comput. Phys. 445 (2021)
Petr N. Vabishchevich
Numerical solution of the Cauchy problem for Volterra integrodifferential equations with difference kernels. CoRR (2021)
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Petr N. Vabishchevich
Contrast-independent partially explicit time discretizations for multiscale wave problems. CoRR (2021)
Petr N. Vabishchevich
Numerical Solution of Non-stationary Problems with a Rational Approximation for Fractional Powers of the Operator. LSSC (2021)
Petr N. Vabishchevich
Numerical solution of the heat conduction problem with memory. CoRR (2021)
Petr N. Vabishchevich
An approximate representation of a solution to fractional elliptical BVP via solution of parabolic IVP. J. Comput. Appl. Math. 391 (2021)
Petr N. Vabishchevich
Approximate solution of the Cauchy problem for a first-order integrodifferential equation with solution derivative memory. CoRR (2021)
Yalchin Efendiev, Petr N. Vabishchevich
Splitting methods for solution decomposition in nonstationary problems. Appl. Math. Comput. 397 (2021)
Yalchin Efendiev, Sai-Mang Pun, Petr N. Vabishchevich
Temporal splitting algorithms for non-stationary multiscale problems. J. Comput. Phys. 439 (2021)
Petr N. Vabishchevich
Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator. CoRR (2021)
Petr N. Vabishchevich
Decoupling Methods for Systems of Parabolic Equations. LSSC (2021)
Raytcho D. Lazarov, Piotr P. Matus, Petr N. Vabishchevich
Modern Problems of Numerical Analysis. On the Centenary of the Birth of Alexander Andreevich Samarskii. Comput. Methods Appl. Math. 20 (4) (2020)
Raimondas Ciegis, Petr N. Vabishchevich
High order numerical schemes for solving fractional powers of elliptic operators. J. Comput. Appl. Math. 372 (2020)
Petr N. Vabishchevich
Splitting Schemes for Non-Stationary Problems with a Rational Approximation for Fractional Powers of the Operator. CoRR (2020)
Yalchin Efendiev, Petr N. Vabishchevich
Splitting methods for solution decomposition in nonstationary problems. CoRR (2020)
Raimondas Ciegis, Petr N. Vabishchevich
Two-level schemes of Cauchy problem method for solving fractional powers of elliptic operators. Comput. Math. Appl. 80 (2) (2020)
Vasiliy V. Grigoriev, Oleg Iliev, Petr N. Vabishchevich
Computational identification of adsorption and desorption parameters for pore scale transport in periodic porous media. J. Comput. Appl. Math. 370 (2020)
Aleksandr E. Kolesov, Petr N. Vabishchevich
Numerical recovery of the piecewise constant leading coefficient of an elliptic equation. CoRR (2020)
Petr N. Vabishchevich
Incomplete Iterative Implicit Schemes. Comput. Methods Appl. Math. 20 (4) (2020)
Vasiliy V. Grigoriev, Oleg Iliev, Petr N. Vabishchevich
Modified Bee Colony optimization algorithm for computational parameter identification for pore scale transport in periodic porous media. CoRR (2020)
Yalchin Efendiev, Sai-Mang Pun, Petr N. Vabishchevich
Temporal Splitting algorithms for non-stationary multiscale problems. CoRR (2020)
Petr N. Vabishchevich
Approximation of a fractional power of an elliptic operator. Numer. Linear Algebra Appl. 27 (3) (2020)
Petr N. Vabishchevich
Splitting Schemes for Some Second-Order Evolution Equations. CoRR (2020)
Petr N. Vabishchevich
Identification of a Time-Dependent Right-Hand Side of an Unsteady Equation with a Fractional Power of an Elliptic Operator. LSSC (2019)
Rafael V. Arutyunyan, Yuri Obukhov, Petr N. Vabishchevich
Numerical simulation of charged Fullerene spectrum. Math. Model. Anal. 24 (2) (2019)
Vasiliy V. Grigoriev, Oleg Iliev, Petr N. Vabishchevich
Computational identification of adsorption and desorption parameters for pore scale transport in periodic porous media. CoRR (2019)
Raimondas Ciegis, Petr N. Vabishchevich
High order numerical schemes for solving fractional powers of elliptic operators. CoRR (2019)
Alexander V. Avvakumov, Valery F. Strizhov, Petr N. Vabishchevich, Alexander O. Vasilev
Numerical modeling of neutron transport in SP3 approximation by finite element method. CoRR (2019)
Raimondas Ciegis, Petr N. Vabishchevich
High-Order Two and Three Level Schemes for Solving Fractional Powers of Elliptic Operators. ENUMATH (2019)
Vasiliy V. Grigoriev, Oleg Iliev, Petr N. Vabishchevich
Computational Identification of Adsorption and Desorption Parameters for Pore Scale Transport in Random Porous Media. LSSC (2019)
Petr N. Vabishchevich
Approximate representation of the solutions of fractional elliptical BVP through the solution of parabolic IVP. CoRR (2019)
Alexander G. Churbanov, Petr N. Vabishchevich
Numerical solution of boundary value problems for the eikonal equation in an anisotropic medium. J. Comput. Appl. Math. 362 (2019)
Petr N. Vabishchevich
Approximation of a fractional power of an elliptic operator. CoRR (2019)
Alexander G. Churbanov, Petr N. Vabishchevich
Numerical Solving a Boundary Value Problem for the Eikonal Equation. FDM (2018)
Alexander G. Churbanov, Petr N. Vabishchevich
Numerical solution of boundary value problems for the eikonal equation in an anisotropic medium. CoRR (2018)
Peter D. Minev, Petr N. Vabishchevich
Splitting schemes for the stress formulation of the incompressible Navier-Stokes equations. J. Comput. Appl. Math. 344 (2018)
D. Kh. Ivanov, Petr N. Vabishchevich
Iterative Process for Numerical Recovering the Lowest Order Space-Wise Coefficient in Parabolic Equations. FDM (2018)
Petr N. Vabishchevich
Two-component domain decomposition scheme with overlapping subdomains for parabolic equations. J. Comput. Appl. Math. 340 (2018)
Petr N. Vabishchevich
Decoupling schemes for predicting compressible fluid flows. CoRR (2018)
Alexander V. Avvakumov, Valery F. Strizhov, Petr N. Vabishchevich, Alexander O. Vasilev
Automatic Time Step Selection for Numerical Solution of Neutron Diffusion Problems. FDM (2018)
Petr N. Vabishchevich
Two-level schemes for the advection equation. J. Comput. Phys. 363 (2018)
Petr N. Vabishchevich
Identification of the Right-Hand Side of an Equation with a Fractional Power of an Elliptic Operator. NMA (2018)
Petr N. Vabishchevich
Computational identification of the lowest space-wise dependent coefficient of a parabolic equation. CoRR (2018)
Petr N. Vabishchevich
Numerical Solution of Time-Dependent Problems with Fractional Power Elliptic Operator. Comput. Methods Appl. Math. 18 (1) (2018)
Peter D. Minev, Shriram Srinivasan, Petr N. Vabishchevich
Flux formulation of parabolic equations with highly heterogeneous coefficients. J. Comput. Appl. Math. 340 (2018)
Petr N. Vabishchevich
Two Classes of Vector Domain Decomposition Schemes for Time-Dependent Problems with Overlapping Subdomains. LSSC (2017)
Alexander G. Churbanov, Oleg Iliev, Valery F. Strizhov, Petr N. Vabishchevich
Numerical simulation of oxidation processes in a cross-flow around tube bundles. CoRR (2017)
Petr N. Vabishchevich
Two-component domain decomposition scheme with overlapping subdomains for parabolic equations. CoRR (2017)
Alexander V. Avvakumov, Valery F. Strizhov, Petr N. Vabishchevich, Alexander O. Vasilev
State change modal method for numerical simulation of dynamic processes in a nuclear reactor. CoRR (2017)
Petr N. Vabishchevich
Two-level schemes for the advection equation. CoRR (2017)
Petr N. Vabishchevich
Factorized Schemes of Second-Order Accuracy for Numerically Solving Unsteady Problems. Comput. Methods Appl. Math. 17 (2) (2017)
Petr N. Vabishchevich
Numerical solution of time-dependent problems with fractional power elliptic operator. CoRR (2017)
Bangti Jin, Raytcho D. Lazarov, Petr N. Vabishchevich
Preface: Numerical Analysis of Fractional Differential Equations. Comput. Methods Appl. Math. 17 (4) (2017)
Alexander V. Avvakumov, Petr N. Vabishchevich, Alexander O. Vasilev, Valery F. Strizhov
Solution of the 3D Neutron Diffusion Benchmark by FEM. LSSC (2017)
Petr N. Vabishchevich
Fundamental mode exact schemes for unsteady problems. CoRR (2017)
Alexandr E. Kolesov, Petr N. Vabishchevich
Splitting schemes with respect to physical processes for double-porosity poroelasticity problems. CoRR (2016)
Petr N. Vabishchevich
Iterative computational identification of a spacewise dependent the source in a parabolic equations. CoRR (2016)
Sergei P. Stepanov, Ivan K. Sirditov, Petr N. Vabishchevich, Maria V. Vasilyeva, Vasiliy I. Vasilyev, Anastasiya N. Tceeva
Numerical Simulation of Heat Transfer of the Pile Foundations with Permafrost. NAA (2016)
Petr N. Vabishchevich
A Singularly Perturbed Boundary Value Problems with Fractional Powers of Elliptic Operators. CoRR (2016)
Alexander V. Avvakumov, Valery F. Strizhov, Petr N. Vabishchevich, Alexander O. Vasilev
Algorithms for Numerical Simulation of Non-stationary Neutron Diffusion Problems. NAA (2016)
Aleksandr E. Kolesov, Petr V. Sivtsev, Piotr Smarzewski, Petr N. Vabishchevich
Numerical Analysis of Reinforced Concrete Deep Beams. NAA (2016)
Petr N. Vabishchevich
A Singularly Perturbed Boundary Value Problems with Fractional Powers of Elliptic Operators. NAA (2016)
Ling De Su, Petr N. Vabishchevich, V. I. Vasil'ev
The Inverse Problem of the Simultaneous Determination of the Right-Hand Side and the Lowest Coefficients in Parabolic Equations. NAA (2016)
Peter D. Minev, Petr N. Vabishchevich
An operator-splitting scheme for the stream function-vorticity formulation of the unsteady Navier-Stokes equations. J. Comput. Appl. Math. 293 (2016)
Petr N. Vabishchevich
A Splitting Scheme to Solve an Equation for Fractional Powers of Elliptic Operators. Comput. Methods Appl. Math. 16 (1) (2016)
Alexander G. Churbanov, Petr N. Vabishchevich
Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts. J. Comput. Phys. 321 (2016)
Alexandr E. Kolesov, Petr N. Vabishchevich
Numerical Solution of Thermoporoelasticity Problems. NAA (2016)
Peter D. Minev, Petr N. Vabishchevich
Splitting schemes for unsteady problems involving the grad-div operator. CoRR (2016)
Petr N. Vabishchevich
A splitting scheme to solve an equation for fractional powers of elliptic operators. CoRR (2015)
Petr N. Vabishchevich
Explicit schemes for parabolic and hyperbolic equations. Appl. Math. Comput. 250 (2015)
Alexander G. Churbanov, Petr N. Vabishchevich
Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts. CoRR (2015)
Petr N. Vabishchevich
Factorized schemes of second-order accuracy for numerical solving unsteady problems. CoRR (2015)
Petr N. Vabishchevich
Operator-Difference Scheme with a Factorized Operator. LSSC (2015)
Petr N. Vabishchevich
Numerical solving unsteady space-fractional problems with the square root of an elliptic operator. CoRR (2015)
Sergey V. Lemeshevsky, Semion A. Naumovich, Sergey S. Naumovich, Petr N. Vabishchevich, Petr E. Zakharov
Numerical simulation of the stress-strain state of the dental system. CoRR (2015)
Petr N. Vabishchevich
Numerically solving an equation for fractional powers of elliptic operators. J. Comput. Phys. 282 (2015)
Alexandr E. Kolesov, Petr N. Vabishchevich, Maria V. Vasilyeva, Victor F. Gornov
Splitting Scheme for Poroelasticity and Thermoelasticity Problems. FDM (2014)
Alexandr E. Kolesov, Petr N. Vabishchevich, Maria V. Vasilyeva
Splitting schemes for poroelasticity and thermoelasticity problems. Comput. Math. Appl. 67 (12) (2014)
Petr N. Vabishchevich
Numerical solving the boundary value problem for fractional powers of elliptic operators. CoRR (2014)
Petr N. Vabishchevich, Petr E. Zakharov
Domain decomposition methods with overlapping subdomains for time-dependent problems. CoRR (2014)
Petr V. Sivtsev, Petr N. Vabishchevich, Maria V. Vasilyeva
Numerical Simulation of Thermoelasticity Problems on High Performance Computing Systems. FDM (2014)
Petr N. Vabishchevich
Numerical solution of nonstationary problems for a space-fractional diffusion equation. CoRR (2014)
Petr N. Vabishchevich, Maria V. Vasilyeva, Vasily I. Vasilyev
Computational Algorithm for Identification of the Right-Hand Side of the Parabolic Equation. FDM (2014)
Petr N. Vabishchevich, Petr E. Zakharov
Explicit-Implicit Splitting Schemes for Parabolic Equations and Systems. NMA (2014)

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Publication Activity (10 Years)

Top Topics

Top Venues

Petr N. Vabishchevich