Petr N. Vabishchevich

142 papers Journal 109Unranked 33

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium. J. Comput. Appl. Math. Petr N. Vabishchevich
2025	J	`jnl`	Computational algorithm for downward continuation of gravity anomalies. CoRR D. Kh. Ivanov, Laura N. Temirbekova, Petr N. Vabishchevich
2025	J	`jnl`	Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium. CoRR Petr N. Vabishchevich
2025	J	`jnl`	Decoupling technology for systems of evolutionary equations. Comput. Math. Appl. Petr N. Vabishchevich
2024	J	`jnl`	Computational decomposition and composition technique for approximate solution of nonstationary problems. CoRR Petr N. Vabishchevich
2024	J	`jnl`	Computational decomposition and composition technique for approximate solution of nonstationary problems. J. Comput. Appl. Math. Petr N. Vabishchevich
2024	J	`jnl`	Decoupling technology for systems of evolutionary equations. CoRR Petr N. Vabishchevich
2024	J	`jnl`	Numerical solution of BVP for the incompressible Navier-Stokes equations at large Reynolds numbers. CoRR D. V. Lomasov, Petr N. Vabishchevich
2024	J	`jnl`	Operator-difference approximations on two-dimensional merged Voronoi-Delaunay grids. CoRR Petr N. Vabishchevich
2023	J	`jnl`	Approximate solution of the Cauchy problem for a first-order integrodifferential equation with solution derivative memory. J. Comput. Appl. Math. Petr N. Vabishchevich
2023	J	`jnl`	Nonlinear approximation of functions based on non-negative least squares solver. CoRR Petr N. Vabishchevich
2023	J	`jnl`	Nonlinear approximation of functions based on nonnegative least squares solver. Numer. Linear Algebra Appl. Petr N. Vabishchevich
2023	J	`jnl`	Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations. J. Comput. Phys. Yalchin Efendiev, Wing Tat Leung, Wenyuan Li, Sai-Mang Pun, Petr N. Vabishchevich
2023	J	`jnl`	Operator-difference schemes on non-uniform grids for second-order evolutionary equations. CoRR Petr N. Vabishchevich
2023	J	`jnl`	Subdomain solution decomposition method for nonstationary problems. J. Comput. Phys. Petr N. Vabishchevich
2022	J	`jnl`	Contrast-independent partially explicit time discretizations for multiscale wave problems. J. Comput. Phys. Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Petr N. Vabishchevich
2022	J	`jnl`	Factorized Schemes for First and Second Order Evolution Equations with Fractional Powers of Operators. Comput. Methods Appl. Math. Petr N. Vabishchevich
2022	J	`jnl`	Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations. CoRR Yalchin Efendiev, Wing Tat Leung, Wenyuan Li, Sai-Mang Pun, Petr N. Vabishchevich
2022	J	`jnl`	Numerical solution of the heat conduction problem with memory. Comput. Math. Appl. Petr N. Vabishchevich
2022	J	`jnl`	On Parameter Identification for Reaction-Dominated Pore-Scale Reactive Transport Using Modified Bee Colony Algorithm. Algorithms Vasiliy V. Grigoriev, Oleg Iliev, Petr N. Vabishchevich
2022	J	`jnl`	Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator. J. Comput. Appl. Math. Petr N. Vabishchevich
2022	J	`jnl`	Subdomain solution decomposition method for nonstationary problems. CoRR Petr N. Vabishchevich
2021	J	`jnl`	An approximate representation of a solution to fractional elliptical BVP via solution of parabolic IVP. J. Comput. Appl. Math. Petr N. Vabishchevich
2021	J	`jnl`	Approximate solution of the Cauchy problem for a first-order integrodifferential equation with solution derivative memory. CoRR Petr N. Vabishchevich
2021	J	`jnl`	Contrast-independent partially explicit time discretizations for multiscale flow problems. CoRR Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Petr N. Vabishchevich
2021	J	`jnl`	Contrast-independent partially explicit time discretizations for multiscale flow problems. J. Comput. Phys. Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Petr N. Vabishchevich
2021	J	`jnl`	Contrast-independent partially explicit time discretizations for multiscale wave problems. CoRR Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Petr N. Vabishchevich
2021	—	`conf`	Decoupling Methods for Systems of Parabolic Equations. LSSC Petr N. Vabishchevich
2021	—	`conf`	Numerical Solution of Non-stationary Problems with a Rational Approximation for Fractional Powers of the Operator. LSSC Petr N. Vabishchevich
2021	J	`jnl`	Numerical solution of the Cauchy problem for Volterra integrodifferential equations with difference kernels. CoRR Petr N. Vabishchevich
2021	J	`jnl`	Numerical solution of the heat conduction problem with memory. CoRR Petr N. Vabishchevich
2021	J	`jnl`	Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator. CoRR Petr N. Vabishchevich
2021	J	`jnl`	Splitting methods for solution decomposition in nonstationary problems. Appl. Math. Comput. Yalchin Efendiev, Petr N. Vabishchevich
2021	J	`jnl`	Temporal splitting algorithms for non-stationary multiscale problems. J. Comput. Phys. Yalchin Efendiev, Sai-Mang Pun, Petr N. Vabishchevich
2020	J	`jnl`	Approximation of a fractional power of an elliptic operator. Numer. Linear Algebra Appl. Petr N. Vabishchevich
2020	J	`jnl`	Computational identification of adsorption and desorption parameters for pore scale transport in periodic porous media. J. Comput. Appl. Math. Vasiliy V. Grigoriev, Oleg Iliev, Petr N. Vabishchevich
2020	J	`jnl`	High order numerical schemes for solving fractional powers of elliptic operators. J. Comput. Appl. Math. Raimondas Ciegis, Petr N. Vabishchevich
2020	J	`jnl`	Incomplete Iterative Implicit Schemes. Comput. Methods Appl. Math. Petr N. Vabishchevich
2020	J	`jnl`	Modern Problems of Numerical Analysis. On the Centenary of the Birth of Alexander Andreevich Samarskii. Comput. Methods Appl. Math. Raytcho D. Lazarov, Piotr P. Matus, Petr N. Vabishchevich
2020	J	`jnl`	Modified Bee Colony optimization algorithm for computational parameter identification for pore scale transport in periodic porous media. CoRR Vasiliy V. Grigoriev, Oleg Iliev, Petr N. Vabishchevich
2020	J	`jnl`	Numerical recovery of the piecewise constant leading coefficient of an elliptic equation. CoRR Aleksandr E. Kolesov, Petr N. Vabishchevich
2020	J	`jnl`	Splitting Schemes for Non-Stationary Problems with a Rational Approximation for Fractional Powers of the Operator. CoRR Petr N. Vabishchevich
2020	J	`jnl`	Splitting Schemes for Some Second-Order Evolution Equations. CoRR Petr N. Vabishchevich
2020	J	`jnl`	Splitting methods for solution decomposition in nonstationary problems. CoRR Yalchin Efendiev, Petr N. Vabishchevich
2020	J	`jnl`	Temporal Splitting algorithms for non-stationary multiscale problems. CoRR Yalchin Efendiev, Sai-Mang Pun, Petr N. Vabishchevich
2020	J	`jnl`	Two-level schemes of Cauchy problem method for solving fractional powers of elliptic operators. Comput. Math. Appl. Raimondas Ciegis, Petr N. Vabishchevich
2019	J	`jnl`	Approximate representation of the solutions of fractional elliptical BVP through the solution of parabolic IVP. CoRR Petr N. Vabishchevich
2019	J	`jnl`	Approximation of a fractional power of an elliptic operator. CoRR Petr N. Vabishchevich
2019	—	`conf`	Computational Identification of Adsorption and Desorption Parameters for Pore Scale Transport in Random Porous Media. LSSC Vasiliy V. Grigoriev, Oleg Iliev, Petr N. Vabishchevich
2019	J	`jnl`	Computational identification of adsorption and desorption parameters for pore scale transport in periodic porous media. CoRR Vasiliy V. Grigoriev, Oleg Iliev, Petr N. Vabishchevich
2019	J	`jnl`	High order numerical schemes for solving fractional powers of elliptic operators. CoRR Raimondas Ciegis, Petr N. Vabishchevich
2019	—	`conf`	High-Order Two and Three Level Schemes for Solving Fractional Powers of Elliptic Operators. ENUMATH Raimondas Ciegis, Petr N. Vabishchevich
2019	—	`conf`	Identification of a Time-Dependent Right-Hand Side of an Unsteady Equation with a Fractional Power of an Elliptic Operator. LSSC Petr N. Vabishchevich
2019	J	`jnl`	Numerical modeling of neutron transport in SP3 approximation by finite element method. CoRR Alexander V. Avvakumov, Valery F. Strizhov, Petr N. Vabishchevich, Alexander O. Vasilev
2019	J	`jnl`	Numerical simulation of charged Fullerene spectrum. Math. Model. Anal. Rafael V. Arutyunyan, Yuri Obukhov, Petr N. Vabishchevich
2019	J	`jnl`	Numerical solution of boundary value problems for the eikonal equation in an anisotropic medium. J. Comput. Appl. Math. Alexander G. Churbanov, Petr N. Vabishchevich
2018	—	`conf`	Automatic Time Step Selection for Numerical Solution of Neutron Diffusion Problems. FDM Alexander V. Avvakumov, Valery F. Strizhov, Petr N. Vabishchevich, Alexander O. Vasilev
2018	J	`jnl`	Computational identification of the lowest space-wise dependent coefficient of a parabolic equation. CoRR Petr N. Vabishchevich
2018	J	`jnl`	Decoupling schemes for predicting compressible fluid flows. CoRR Petr N. Vabishchevich
2018	J	`jnl`	Flux formulation of parabolic equations with highly heterogeneous coefficients. J. Comput. Appl. Math. Peter D. Minev, Shriram Srinivasan, Petr N. Vabishchevich
2018	—	`conf`	Identification of the Right-Hand Side of an Equation with a Fractional Power of an Elliptic Operator. NMA Petr N. Vabishchevich
2018	—	`conf`	Iterative Process for Numerical Recovering the Lowest Order Space-Wise Coefficient in Parabolic Equations. FDM D. Kh. Ivanov, Petr N. Vabishchevich
2018	J	`jnl`	Numerical Solution of Time-Dependent Problems with Fractional Power Elliptic Operator. Comput. Methods Appl. Math. Petr N. Vabishchevich
2018	—	`conf`	Numerical Solving a Boundary Value Problem for the Eikonal Equation. FDM Alexander G. Churbanov, Petr N. Vabishchevich
2018	J	`jnl`	Numerical solution of boundary value problems for the eikonal equation in an anisotropic medium. CoRR Alexander G. Churbanov, Petr N. Vabishchevich
2018	J	`jnl`	Splitting schemes for the stress formulation of the incompressible Navier-Stokes equations. J. Comput. Appl. Math. Peter D. Minev, Petr N. Vabishchevich
2018	J	`jnl`	Two-component domain decomposition scheme with overlapping subdomains for parabolic equations. J. Comput. Appl. Math. Petr N. Vabishchevich
2018	J	`jnl`	Two-level schemes for the advection equation. J. Comput. Phys. Petr N. Vabishchevich
2017	J	`jnl`	Factorized Schemes of Second-Order Accuracy for Numerically Solving Unsteady Problems. Comput. Methods Appl. Math. Petr N. Vabishchevich
2017	J	`jnl`	Fundamental mode exact schemes for unsteady problems. CoRR Petr N. Vabishchevich
2017	J	`jnl`	Numerical simulation of oxidation processes in a cross-flow around tube bundles. CoRR Alexander G. Churbanov, Oleg Iliev, Valery F. Strizhov, Petr N. Vabishchevich
2017	J	`jnl`	Numerical solution of time-dependent problems with fractional power elliptic operator. CoRR Petr N. Vabishchevich
2017	J	`jnl`	Preface: Numerical Analysis of Fractional Differential Equations. Comput. Methods Appl. Math. Bangti Jin, Raytcho D. Lazarov, Petr N. Vabishchevich
2017	—	`conf`	Solution of the 3D Neutron Diffusion Benchmark by FEM. LSSC Alexander V. Avvakumov, Petr N. Vabishchevich, Alexander O. Vasilev, Valery F. Strizhov
2017	J	`jnl`	State change modal method for numerical simulation of dynamic processes in a nuclear reactor. CoRR Alexander V. Avvakumov, Valery F. Strizhov, Petr N. Vabishchevich, Alexander O. Vasilev
2017	—	`conf`	Two Classes of Vector Domain Decomposition Schemes for Time-Dependent Problems with Overlapping Subdomains. LSSC Petr N. Vabishchevich
2017	J	`jnl`	Two-component domain decomposition scheme with overlapping subdomains for parabolic equations. CoRR Petr N. Vabishchevich
2017	J	`jnl`	Two-level schemes for the advection equation. CoRR Petr N. Vabishchevich
2016	—	`conf`	A Singularly Perturbed Boundary Value Problems with Fractional Powers of Elliptic Operators. NAA Petr N. Vabishchevich
2016	J	`jnl`	A Singularly Perturbed Boundary Value Problems with Fractional Powers of Elliptic Operators. CoRR Petr N. Vabishchevich
2016	J	`jnl`	A Splitting Scheme to Solve an Equation for Fractional Powers of Elliptic Operators. Comput. Methods Appl. Math. Petr N. Vabishchevich
2016	—	`conf`	Algorithms for Numerical Simulation of Non-stationary Neutron Diffusion Problems. NAA Alexander V. Avvakumov, Valery F. Strizhov, Petr N. Vabishchevich, Alexander O. Vasilev
2016	J	`jnl`	An operator-splitting scheme for the stream function-vorticity formulation of the unsteady Navier-Stokes equations. J. Comput. Appl. Math. Peter D. Minev, Petr N. Vabishchevich
2016	J	`jnl`	Iterative computational identification of a spacewise dependent the source in a parabolic equations. CoRR Petr N. Vabishchevich
2016	—	`conf`	Numerical Analysis of Reinforced Concrete Deep Beams. NAA Aleksandr E. Kolesov, Petr V. Sivtsev, Piotr Smarzewski, Petr N. Vabishchevich
2016	—	`conf`	Numerical Simulation of Heat Transfer of the Pile Foundations with Permafrost. NAA Sergei P. Stepanov, Ivan K. Sirditov, Petr N. Vabishchevich, Maria V. Vasilyeva, Vasiliy I. Vasilyev, Anastasiya N. Tceeva
2016	—	`conf`	Numerical Solution of Thermoporoelasticity Problems. NAA Alexandr E. Kolesov, Petr N. Vabishchevich
2016	J	`jnl`	Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts. J. Comput. Phys. Alexander G. Churbanov, Petr N. Vabishchevich
2016	J	`jnl`	Splitting schemes for unsteady problems involving the grad-div operator. CoRR Peter D. Minev, Petr N. Vabishchevich
2016	J	`jnl`	Splitting schemes with respect to physical processes for double-porosity poroelasticity problems. CoRR Alexandr E. Kolesov, Petr N. Vabishchevich
2016	—	`conf`	The Inverse Problem of the Simultaneous Determination of the Right-Hand Side and the Lowest Coefficients in Parabolic Equations. NAA Ling De Su, Petr N. Vabishchevich, V. I. Vasil'ev
2015	J	`jnl`	A splitting scheme to solve an equation for fractional powers of elliptic operators. CoRR Petr N. Vabishchevich
2015	J	`jnl`	Explicit schemes for parabolic and hyperbolic equations. Appl. Math. Comput. Petr N. Vabishchevich
2015	J	`jnl`	Factorized schemes of second-order accuracy for numerical solving unsteady problems. CoRR Petr N. Vabishchevich
2015	J	`jnl`	Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts. CoRR Alexander G. Churbanov, Petr N. Vabishchevich
2015	J	`jnl`	Numerical simulation of the stress-strain state of the dental system. CoRR Sergey V. Lemeshevsky, Semion A. Naumovich, Sergey S. Naumovich, Petr N. Vabishchevich, Petr E. Zakharov
2015	J	`jnl`	Numerical solving unsteady space-fractional problems with the square root of an elliptic operator. CoRR Petr N. Vabishchevich
2015	J	`jnl`	Numerically solving an equation for fractional powers of elliptic operators. J. Comput. Phys. Petr N. Vabishchevich
2015	—	`conf`	Operator-Difference Scheme with a Factorized Operator. LSSC Petr N. Vabishchevich
2014	J	`jnl`	Additive schemes (splitting schemes) for some systems of evolutionary equations. Math. Comput. Petr N. Vabishchevich
2014	—	`conf`	Computational Algorithm for Identification of the Right-Hand Side of the Parabolic Equation. FDM Petr N. Vabishchevich, Maria V. Vasilyeva, Vasily I. Vasilyev
2014	J	`jnl`	Domain decomposition methods with overlapping subdomains for time-dependent problems. CoRR Petr N. Vabishchevich, Petr E. Zakharov
2014	—	`conf`	Explicit-Implicit Splitting Schemes for Parabolic Equations and Systems. NMA Petr N. Vabishchevich, Petr E. Zakharov
2014	—	`conf`	Numerical Simulation of Thermoelasticity Problems on High Performance Computing Systems. FDM Petr V. Sivtsev, Petr N. Vabishchevich, Maria V. Vasilyeva
2014	J	`jnl`	Numerical solution of nonstationary problems for a space-fractional diffusion equation. CoRR Petr N. Vabishchevich
2014	J	`jnl`	Numerical solving the boundary value problem for fractional powers of elliptic operators. CoRR Petr N. Vabishchevich
2014	—	`conf`	Splitting Scheme for Poroelasticity and Thermoelasticity Problems. FDM Alexandr E. Kolesov, Petr N. Vabishchevich, Maria V. Vasilyeva, Victor F. Gornov
2014	J	`jnl`	Splitting schemes for poroelasticity and thermoelasticity problems. Comput. Math. Appl. Alexandr E. Kolesov, Petr N. Vabishchevich, Maria V. Vasilyeva
2014	—	`conf`	Time Step for Numerically Solving Parabolic Problems. FDM Petr N. Vabishchevich
2013	J	`jnl`	A priori estimation of a time step for numerically solving parabolic problems. CoRR Petr N. Vabishchevich
2013	J	`jnl`	Explicit schemes for parabolic and hyperbolic equations. CoRR Petr N. Vabishchevich
2013	—	`conf`	Mathematical Modeling of Thermal Stabilization of Vertical Wells on High Performance Computing Systems. LSSC Natalia V. Pavlova, Petr N. Vabishchevich, Maria V. Vasilyeva
2013	J	`jnl`	Mathematical modeling of thermal stabilization of vertical wells on high performance computing systems CoRR Natalia V. Pavlova, Petr N. Vabishchevich, Maria V. Vasilyeva
2013	J	`jnl`	Numerical solving the identification problem for the lower coefficient of parabolic equation CoRR Petr N. Vabishchevich, V. I. Vasil'ev
2013	J	`jnl`	Splitting schemes for poroelasticity and thermoelasticity problems. CoRR Alexandr E. Kolesov, Petr N. Vabishchevich, Maria V. Vasilyeva
2013	J	`jnl`	The Contribution of Piotr Matus to Computational Mathematics. Comput. Methods Appl. Math. Sergey V. Lemeshevsky, Almas Sherbaf, Petr N. Vabishchevich
2013	J	`jnl`	Unconditionally Monotone Schemes for Unsteady Convection-Diffusion Problems. Comput. Methods Appl. Math. Nadyezhda M. Afanas'eva, Alexander G. Churbanov, Petr N. Vabishchevich
2012	—	`conf`	Flux-Splitting Schemes for Parabolic Problems. NAA Petr N. Vabishchevich
2012	J	`jnl`	Flux-splitting schemes for parabolic problems CoRR Petr N. Vabishchevich
2012	J	`jnl`	Numerical Methods for Solving Convection-Diffusion Problems CoRR Alexander G. Churbanov, Petr N. Vabishchevich
2012	J	`jnl`	On a new class of additive (splitting) operator-difference schemes. Math. Comput. Petr N. Vabishchevich
2012	—	`conf`	Unconditionally Stable Schemes for Non-stationary Convection-Diffusion Equations. NAA Nadezhda Afanasyeva, Petr N. Vabishchevich, Maria V. Vasilyeva
2012	J	`jnl`	Unconditionally stable schemes for non-stationary convection-diffusion equations CoRR Nadezhda Afanasyeva, Petr N. Vabishchevich, Maria V. Vasileva
2011	J	`jnl`	A Substructuring Domain Decomposition Scheme for Unsteady Problems. Comput. Methods Appl. Math. Petr N. Vabishchevich
2011	J	`jnl`	Additive schemes (splitting schemes) for some systems of evolutionary equations CoRR Petr N. Vabishchevich
2011	J	`jnl`	Domain decomposition schemes for evolutionary equations of first order with not self-adjoint operators CoRR Petr N. Vabishchevich
2011	J	`jnl`	Domain decomposition schemes for the Stokes equation CoRR Petr N. Vabishchevich
2011	J	`jnl`	Finite-difference analysis of fully dynamic problems for saturated porous media. J. Comput. Appl. Math. N. Boal, Francisco José Gaspar, Francisco Javier Lisbona, Petr N. Vabishchevich
2011	J	`jnl`	Iterative methods for solving the pressure problem at multiphase filtration CoRR Petr N. Vabishchevich, Maria V. Vasileva
2011	J	`jnl`	Substructuring domain decomposition scheme for unsteady problems CoRR Petr N. Vabishchevich
2010	J	`jnl`	On a new class of additive (splitting) operator-difference schemes CoRR Petr N. Vabishchevich
2010	—	`conf`	SM Stability for Time-Dependent Problems. NMA Petr N. Vabishchevich
2010	J	`jnl`	SM stability for time-dependent problems CoRR Petr N. Vabishchevich
2010	J	`jnl`	Splitting schemes for hyperbolic heat conduction equation CoRR Petr N. Vabishchevich
2010	J	`jnl`	VAGO method for the solution of elliptic second-order boundary value problems CoRR Nikolay P. Vabishchevich, Petr N. Vabishchevich
2009	J	`jnl`	Works of A.A. Samarskii on Computational Mathematics. Comput. Methods Appl. Math. Petr N. Vabishchevich
2006	—	`conf`	The Vector Analysis Grid Operators for Applied Problems. Numerical Methods and Applications Petr N. Vabishchevich
2002	—	`conf`	Additive Schemes for Systems of Time-Dependent Equations of Mathematical Physics. Numerical Methods and Application Alexander Samarskii, Petr N. Vabishchevich
2002	—	`conf`	Finite Difference Scheme for Filtration and Consolidation Problems. Numerical Methods and Application Francisco José Gaspar, Francisco Javier Lisbona, Petr N. Vabishchevich
1999	—	`conf`	A Multi-Block Orthogonal Grid Generation Using CAD System. IMR Vladimir V. Chudanov, Anna E. Aksenova, Valeri A. Pervichko, Alexander G. Churbanov, Irina G. Plotnikova, Vladimir V. Varenkov, Petr N. Vabishchevich
1997	—	`conf`	Solving Problems of Continuation of Unsteady Fields Based on Local Point Measurements. LSSC Petr N. Vabishchevich
1996	—	`conf`	Numerical Techniques for Solving Convection-Diffusion Problems. WNAA Petr N. Vabishchevich