Numerical Techniques for Solving Convection-Diffusion Problems. - Petr N. Vabishchevich (WNAA, 1996)

Solving Problems of Continuation of Unsteady Fields Based on Local Point Measurements. - Petr N. Vabishchevich (LSSC, 1997)

A Multi-Block Orthogonal Grid Generation Using CAD System. - Vladimir V. Chudanov; Anna E. Aksenova; Valeri A. Pervichko; Alexander G. Churbanov; Irina G. Plotnikova; Vladimir V. Varenkov; Petr N. Vabishchevich (IMR, 1999)

Finite Difference Scheme for Filtration and Consolidation Problems. - Francisco José Gaspar; Francisco Javier Lisbona; Petr N. Vabishchevich (Numerical Methods and Application, 2002)

Additive Schemes for Systems of Time-Dependent Equations of Mathematical Physics. - Alexander Samarskii; Petr N. Vabishchevich (Numerical Methods and Application, 2002)

The Vector Analysis Grid Operators for Applied Problems. - Petr N. Vabishchevich (Numerical Methods and Applications, 2006)

Works of A.A. Samarskii on Computational Mathematics. - Petr N. Vabishchevich (Comput. Methods Appl. Math., 2009)

SM Stability for Time-Dependent Problems. - Petr N. Vabishchevich (NMA, 2010)

VAGO method for the solution of elliptic second-order boundary value problems - Nikolay P. Vabishchevich; Petr N. Vabishchevich (CoRR, 2010)

Splitting schemes for hyperbolic heat conduction equation - Petr N. Vabishchevich (CoRR, 2010)

A Substructuring Domain Decomposition Scheme for Unsteady Problems. - Petr N. Vabishchevich (Comput. Methods Appl. Math., 2011)

Domain decomposition schemes for evolutionary equations of first order with not self-adjoint operators - Petr N. Vabishchevich (CoRR, 2011)

Domain decomposition schemes for the Stokes equation - Petr N. Vabishchevich (CoRR, 2011)

Iterative methods for solving the pressure problem at multiphase filtration - Petr N. Vabishchevich; Maria V. Vasileva (CoRR, 2011)

Finite-difference analysis of fully dynamic problems for saturated porous media. - N. Boal; Francisco José Gaspar; Francisco Javier Lisbona; Petr N. Vabishchevich (J. Comput. Appl. Math., 2011)

Unconditionally Stable Schemes for Non-stationary Convection-Diffusion Equations. - Nadezhda Afanasyeva; Petr N. Vabishchevich; Maria V. Vasilyeva (NAA, 2012)

Flux-Splitting Schemes for Parabolic Problems. - Petr N. Vabishchevich (NAA, 2012)

Numerical Methods for Solving Convection-Diffusion Problems - Alexander G. Churbanov; Petr N. Vabishchevich (CoRR, 2012)

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

Mathematical Modeling of Thermal Stabilization of Vertical Wells on High Performance Computing Systems. - Natalia V. Pavlova; Petr N. Vabishchevich; Maria V. Vasilyeva (LSSC, 2013)

Unconditionally Monotone Schemes for Unsteady Convection-Diffusion Problems. - Nadyezhda M. Afanas'eva; Alexander G. Churbanov; Petr N. Vabishchevich (Comput. Methods Appl. Math., 2013)

The Contribution of Piotr Matus to Computational Mathematics. - Sergey V. Lemeshevsky; Almas Sherbaf; Petr N. Vabishchevich (Comput. Methods Appl. Math., 2013)

A priori estimation of a time step for numerically solving parabolic problems. - Petr N. Vabishchevich (CoRR, 2013)

Numerical solving the identification problem for the lower coefficient of parabolic equation - Petr N. Vabishchevich; V. I. Vasil'ev (CoRR, 2013)

Splitting Scheme for Poroelasticity and Thermoelasticity Problems. - Alexandr E. Kolesov; Petr N. Vabishchevich; Maria V. Vasilyeva; Victor F. Gornov (FDM, 2014)

Numerical Simulation of Thermoelasticity Problems on High Performance Computing Systems. - Petr V. Sivtsev; Petr N. Vabishchevich; Maria V. Vasilyeva (FDM, 2014)

Time Step for Numerically Solving Parabolic Problems. - Petr N. Vabishchevich (FDM, 2014)

Computational Algorithm for Identification of the Right-Hand Side of the Parabolic Equation. - Petr N. Vabishchevich; Maria V. Vasilyeva; Vasily I. Vasilyev (FDM, 2014)

Explicit-Implicit Splitting Schemes for Parabolic Equations and Systems. - Petr N. Vabishchevich; Petr E. Zakharov (NMA, 2014)

Splitting schemes for poroelasticity and thermoelasticity problems. - Alexandr E. Kolesov; Petr N. Vabishchevich; Maria V. Vasilyeva (Comput. Math. Appl., 2014)

Numerical solving the boundary value problem for fractional powers of elliptic operators. - Petr N. Vabishchevich (CoRR, 2014)

Numerical solution of nonstationary problems for a space-fractional diffusion equation. - Petr N. Vabishchevich (CoRR, 2014)

Domain decomposition methods with overlapping subdomains for time-dependent problems. - Petr N. Vabishchevich; Petr E. Zakharov (CoRR, 2014)

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

Operator-Difference Scheme with a Factorized Operator. - Petr N. Vabishchevich (LSSC, 2015)

Explicit schemes for parabolic and hyperbolic equations. - Petr N. Vabishchevich (Appl. Math. Comput., 2015)

Numerical simulation of the stress-strain state of the dental system. - Sergey V. Lemeshevsky; Semion A. Naumovich; Sergey S. Naumovich; Petr N. Vabishchevich; Petr E. Zakharov (CoRR, 2015)

Factorized schemes of second-order accuracy for numerical solving unsteady problems. - Petr N. Vabishchevich (CoRR, 2015)

Numerical solving unsteady space-fractional problems with the square root of an elliptic operator. - Petr N. Vabishchevich (CoRR, 2015)

Numerically solving an equation for fractional powers of elliptic operators. - Petr N. Vabishchevich (J. Comput. Phys., 2015)

Algorithms for Numerical Simulation of Non-stationary Neutron Diffusion Problems. - Alexander V. Avvakumov; Valery F. Strizhov; Petr N. Vabishchevich; Alexander O. Vasilev (NAA, 2016)

Numerical Analysis of Reinforced Concrete Deep Beams. - Aleksandr E. Kolesov; Petr V. Sivtsev; Piotr Smarzewski; Petr N. Vabishchevich (NAA, 2016)

Numerical Solution of Thermoporoelasticity Problems. - Alexandr E. Kolesov; Petr N. Vabishchevich (NAA, 2016)

Numerical Simulation of Heat Transfer of the Pile Foundations with Permafrost. - Sergei P. Stepanov; Ivan K. Sirditov; Petr N. Vabishchevich; Maria V. Vasilyeva; Vasiliy I. Vasilyev; Anastasiya N. Tceeva (NAA, 2016)

The Inverse Problem of the Simultaneous Determination of the Right-Hand Side and the Lowest Coefficients in Parabolic Equations. - Ling De Su; Petr N. Vabishchevich; V. I. Vasil'ev (NAA, 2016)

A Singularly Perturbed Boundary Value Problems with Fractional Powers of Elliptic Operators. - Petr N. Vabishchevich (NAA, 2016)

A Splitting Scheme to Solve an Equation for Fractional Powers of Elliptic Operators. - Petr N. Vabishchevich (Comput. Methods Appl. Math., 2016)

Splitting schemes with respect to physical processes for double-porosity poroelasticity problems. - Alexandr E. Kolesov; Petr N. Vabishchevich (CoRR, 2016)

Splitting schemes for unsteady problems involving the grad-div operator. - Peter D. Minev; Petr N. Vabishchevich (CoRR, 2016)

Iterative computational identification of a spacewise dependent the source in a parabolic equations. - Petr N. Vabishchevich (CoRR, 2016)

An operator-splitting scheme for the stream function-vorticity formulation of the unsteady Navier-Stokes equations. - Peter D. Minev; Petr N. Vabishchevich (J. Comput. Appl. Math., 2016)

Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts. - Alexander G. Churbanov; Petr N. Vabishchevich (J. Comput. Phys., 2016)

Solution of the 3D Neutron Diffusion Benchmark by FEM. - Alexander V. Avvakumov; Petr N. Vabishchevich; Alexander O. Vasilev; Valery F. Strizhov (LSSC, 2017)

Two Classes of Vector Domain Decomposition Schemes for Time-Dependent Problems with Overlapping Subdomains. - Petr N. Vabishchevich (LSSC, 2017)

Preface: Numerical Analysis of Fractional Differential Equations. - Bangti Jin; Raytcho D. Lazarov; Petr N. Vabishchevich (Comput. Methods Appl. Math., 2017)

Factorized Schemes of Second-Order Accuracy for Numerically Solving Unsteady Problems. - Petr N. Vabishchevich (Comput. Methods Appl. Math., 2017)

State change modal method for numerical simulation of dynamic processes in a nuclear reactor. - Alexander V. Avvakumov; Valery F. Strizhov; Petr N. Vabishchevich; Alexander O. Vasilev (CoRR, 2017)

Fundamental mode exact schemes for unsteady problems. - Petr N. Vabishchevich (CoRR, 2017)

Numerical simulation of oxidation processes in a cross-flow around tube bundles. - Alexander G. Churbanov; Oleg Iliev 001; Valery F. Strizhov; Petr N. Vabishchevich (CoRR, 2017)

Automatic Time Step Selection for Numerical Solution of Neutron Diffusion Problems. - Alexander V. Avvakumov; Valery F. Strizhov; Petr N. Vabishchevich; Alexander O. Vasilev (FDM, 2018)

Numerical Solving a Boundary Value Problem for the Eikonal Equation. - Alexander G. Churbanov; Petr N. Vabishchevich (FDM, 2018)

Iterative Process for Numerical Recovering the Lowest Order Space-Wise Coefficient in Parabolic Equations. - D. Kh. Ivanov; Petr N. Vabishchevich (FDM, 2018)

Identification of the Right-Hand Side of an Equation with a Fractional Power of an Elliptic Operator. - Petr N. Vabishchevich (NMA, 2018)

Numerical Solution of Time-Dependent Problems with Fractional Power Elliptic Operator. - Petr N. Vabishchevich (Comput. Methods Appl. Math., 2018)

Decoupling schemes for predicting compressible fluid flows. - Petr N. Vabishchevich (CoRR, 2018)

Computational identification of the lowest space-wise dependent coefficient of a parabolic equation. - Petr N. Vabishchevich (CoRR, 2018)

Flux formulation of parabolic equations with highly heterogeneous coefficients. - Peter D. Minev; Shriram Srinivasan; Petr N. Vabishchevich (J. Comput. Appl. Math., 2018)

Splitting schemes for the stress formulation of the incompressible Navier-Stokes equations. - Peter D. Minev; Petr N. Vabishchevich (J. Comput. Appl. Math., 2018)

Two-component domain decomposition scheme with overlapping subdomains for parabolic equations. - Petr N. Vabishchevich (J. Comput. Appl. Math., 2018)

Two-level schemes for the advection equation. - Petr N. Vabishchevich (J. Comput. Phys., 2018)

High-Order Two and Three Level Schemes for Solving Fractional Powers of Elliptic Operators. - Raimondas Ciegis; Petr N. Vabishchevich (ENUMATH, 2019)

Computational Identification of Adsorption and Desorption Parameters for Pore Scale Transport in Random Porous Media. - Vasiliy V. Grigoriev; Oleg Iliev 001; Petr N. Vabishchevich (LSSC, 2019)

Identification of a Time-Dependent Right-Hand Side of an Unsteady Equation with a Fractional Power of an Elliptic Operator. - Petr N. Vabishchevich (LSSC, 2019)

Numerical modeling of neutron transport in SP3 approximation by finite element method. - Alexander V. Avvakumov; Valery F. Strizhov; Petr N. Vabishchevich; Alexander O. Vasilev (CoRR, 2019)

Approximate representation of the solutions of fractional elliptical BVP through the solution of parabolic IVP. - Petr N. Vabishchevich (CoRR, 2019)

Numerical solution of boundary value problems for the eikonal equation in an anisotropic medium. - Alexander G. Churbanov; Petr N. Vabishchevich (J. Comput. Appl. Math., 2019)

Numerical simulation of charged Fullerene spectrum. - Rafael V. Arutyunyan; Yuri Obukhov; Petr N. Vabishchevich (Math. Model. Anal., 2019)

Two-level schemes of Cauchy problem method for solving fractional powers of elliptic operators. - Raimondas Ciegis; Petr N. Vabishchevich (Comput. Math. Appl., 2020)

Modern Problems of Numerical Analysis. On the Centenary of the Birth of Alexander Andreevich Samarskii. - Raytcho D. Lazarov; Piotr P. Matus; Petr N. Vabishchevich (Comput. Methods Appl. Math., 2020)

Incomplete Iterative Implicit Schemes. - Petr N. Vabishchevich (Comput. Methods Appl. Math., 2020)

Modified Bee Colony optimization algorithm for computational parameter identification for pore scale transport in periodic porous media. - Vasiliy V. Grigoriev; Oleg Iliev 001; Petr N. Vabishchevich (CoRR, 2020)

Numerical recovery of the piecewise constant leading coefficient of an elliptic equation. - Aleksandr E. Kolesov; Petr N. Vabishchevich (CoRR, 2020)

Splitting Schemes for Some Second-Order Evolution Equations. - Petr N. Vabishchevich (CoRR, 2020)

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

High order numerical schemes for solving fractional powers of elliptic operators. - Raimondas Ciegis; Petr N. Vabishchevich (J. Comput. Appl. Math., 2020)

Computational identification of adsorption and desorption parameters for pore scale transport in periodic porous media. - Vasiliy V. Grigoriev; Oleg Iliev 001; Petr N. Vabishchevich (J. Comput. Appl. Math., 2020)

Approximation of a fractional power of an elliptic operator. - Petr N. Vabishchevich (Numer. Linear Algebra Appl., 2020)

Numerical Solution of Non-stationary Problems with a Rational Approximation for Fractional Powers of the Operator. - Petr N. Vabishchevich (LSSC, 2021)

Decoupling Methods for Systems of Parabolic Equations. - Petr N. Vabishchevich (LSSC, 2021)

Splitting methods for solution decomposition in nonstationary problems. - Yalchin Efendiev; Petr N. Vabishchevich (Appl. Math. Comput., 2021)

Numerical solution of the Cauchy problem for Volterra integrodifferential equations with difference kernels. - Petr N. Vabishchevich (CoRR, 2021)

An approximate representation of a solution to fractional elliptical BVP via solution of parabolic IVP. - Petr N. Vabishchevich (J. Comput. Appl. Math., 2021)

Contrast-independent partially explicit time discretizations for multiscale flow problems. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung; Petr N. Vabishchevich (J. Comput. Phys., 2021)

Temporal splitting algorithms for non-stationary multiscale problems. - Yalchin Efendiev; Sai-Mang Pun; Petr N. Vabishchevich (J. Comput. Phys., 2021)

On Parameter Identification for Reaction-Dominated Pore-Scale Reactive Transport Using Modified Bee Colony Algorithm. - Vasiliy V. Grigoriev; Oleg Iliev 001; Petr N. Vabishchevich (Algorithms, 2022)

Numerical solution of the heat conduction problem with memory. - Petr N. Vabishchevich (Comput. Math. Appl., 2022)

Factorized Schemes for First and Second Order Evolution Equations with Fractional Powers of Operators. - Petr N. Vabishchevich (Comput. Methods Appl. Math., 2022)

Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator. - Petr N. Vabishchevich (J. Comput. Appl. Math., 2022)

Contrast-independent partially explicit time discretizations for multiscale wave problems. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung; Petr N. Vabishchevich (J. Comput. Phys., 2022)

Nonlinear approximation of functions based on non-negative least squares solver. - Petr N. Vabishchevich (CoRR, 2023)

Operator-difference schemes on non-uniform grids for second-order evolutionary equations. - Petr N. Vabishchevich (CoRR, 2023)

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

Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations. - Yalchin Efendiev; Wing Tat Leung; Wenyuan Li 004; Sai-Mang Pun; Petr N. Vabishchevich (J. Comput. Phys., 2023)

Subdomain solution decomposition method for nonstationary problems. - Petr N. Vabishchevich (J. Comput. Phys., 2023)

Nonlinear approximation of functions based on nonnegative least squares solver. - Petr N. Vabishchevich (Numer. Linear Algebra Appl., 2023)

Operator-difference approximations on two-dimensional merged Voronoi-Delaunay grids. - Petr N. Vabishchevich (CoRR, 2024)

Numerical solution of BVP for the incompressible Navier-Stokes equations at large Reynolds numbers. - D. V. Lomasov; Petr N. Vabishchevich (CoRR, 2024)

Computational decomposition and composition technique for approximate solution of nonstationary problems. - Petr N. Vabishchevich (J. Comput. Appl. Math., 2024)

Decoupling technology for systems of evolutionary equations. - Petr N. Vabishchevich (Comput. Math. Appl., 2025)

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium. - Petr N. Vabishchevich (CoRR, 2025)

Computational algorithm for downward continuation of gravity anomalies. - D. Kh. Ivanov; Laura N. Temirbekova; Petr N. Vabishchevich (CoRR, 2025)