Volodymyr L. Makarov

Publication Activity (10 Years)

Years Active: 1999-2021
Publications (10 Years): 9

Top Topics

Parallel Algorithm

Boundary Value Problem

Top Venues

Comput. Methods Appl. Math.

J. Comput. Appl. Math.

Int. J. Comput. Math.

Publications

Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya V. Mayko
Weighted Estimates of the Cayley Transform Method for Abstract Differential Equations. Comput. Methods Appl. Math. 21 (1) (2021)
Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya V. Mayko
Weighted Estimates for Boundary Value Problems with Fractional Derivatives. Comput. Methods Appl. Math. 20 (4) (2020)
Volodymyr L. Makarov, Nataliya V. Mayko
Weighted estimates of the Cayley transform method for boundary value problems in a Banach space. CoRR (2020)
Volodymyr L. Makarov, Nataliia Romaniuk
Exponentially convergent symbolic algorithm of the functional-discrete method for the fourth order Sturm-Liouville problems with polynomial coefficients. J. Comput. Appl. Math. 358 (2019)
Volodymyr L. Makarov, Nataliya V. Mayko
The Boundary Effect in the Accuracy Estimate for the Grid Solution of the Fractional Differential Equation. Comput. Methods Appl. Math. 19 (2) (2019)
Volodymyr L. Makarov, Denys Dragunov
An efficient approach for solving stiff nonlinear boundary value problems. J. Comput. Appl. Math. 345 (2019)
Volodymyr L. Makarov, Nataliia Romaniuk
Symbolic Algorithm of the Functional-Discrete Method for a Sturm-Liouville Problem with a Polynomial Potential. Comput. Methods Appl. Math. 18 (4) (2018)
Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliia Romaniuk
Super-Exponentially Convergent Parallel Algorithm for a Fractional Eigenvalue Problem of Jacobi-Type. Comput. Methods Appl. Math. 18 (1) (2018)
Lyubomyr I. Demkiv, Ivan P. Gavrilyuk, Volodymyr L. Makarov
Super-Exponentially Convergent Parallel Algorithm for Eigenvalue Problems with Fractional Derivatives. Comput. Methods Appl. Math. 16 (4) (2016)
Roman Chapko, Christina Babenko, Volodymyr Khlobystov, Volodymyr L. Makarov
On the interpolation of a function on a bounded domain by its traces on parametric hypersurfaces. Int. J. Comput. Math. 91 (8) (2014)
Volodymyr L. Makarov, Denys Dragunov, Ya. V. Klimenko
The FD-method for solving Sturm-Liouville problems with special singular differential operator. Math. Comput. 82 (282) (2013)
Volodymyr L. Makarov, Nataliya Rossokhata, Denys Dragunov
An exponentially convergent functional-discrete method for solving Sturm-Liouville problems with a potential including the Dirac δ-function. J. Comput. Appl. Math. 250 (2013)
Ivan P. Gavrilyuk, Volodymyr L. Makarov
Stability and Regularization of Difference Schemes in Banach and Hilbert Spaces. Comput. Methods Appl. Math. 13 (2) (2013)
Volodymyr L. Makarov, Nataliya Rossokhata, Denys Dragunov
Exponentially Convergent Functional-discrete Method for Eigenvalue Transmission Problems with a Discontinuous Flux and the Potential as a Function in the Space L_1. Comput. Methods Appl. Math. 12 (1) (2012)
Volodymyr L. Makarov, Denys Dragunov
A numerical-analytic method for solving the Cauchy problem for ordinary differential equations. Comput. Methods Appl. Math. 11 (4) (2011)
Ivan P. Gavrilyuk, Martin Hermann, Myroslav V. Kutniv, Volodymyr L. Makarov
Two-point difference schemes of an arbitrary given order of accuracy for nonlinear BVPs. Appl. Math. Lett. 23 (5) (2010)
Ivan P. Gavrilyuk, I. I. Lazurchak, Volodymyr L. Makarov, Dmytro Sytnyk
A Metod with a Controllable Exponential Convergence Rate for Nonlinear Differential Operator Equations. Comput. Methods Appl. Math. 9 (1) (2009)
Volodymyr L. Makarov, Lyubomyr I. Demkiv
Weight Uniform Accuracy Estimates of Finite Difference Method for Poisson Equation, Taking into Account Boundary Effect. NAA (2008)
Ivan P. Gavrilyuk, Volodymyr L. Makarov
An exponentially convergent algorithm for nonlinear differential equations in Banach spaces. Math. Comput. 76 (260) (2007)
T. Yu. Bohonova, Ivan P. Gavrilyuk, Volodymyr L. Makarov, Vitalii B. Vasylyk
Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach Space. SIAM J. Numer. Anal. 46 (1) (2007)
Ivan P. Gavrilyuk, Volodymyr L. Makarov
Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces. Math. Comput. 74 (250) (2005)
Ivan P. Gavrilyuk, Volodymyr L. Makarov
Exponentially Convergent Algorithms for the Operator Exponential with Applications to Inhomogeneous Problems in Banach Spaces. SIAM J. Numer. Anal. 43 (5) (2005)
Volodymyr L. Makarov, Lyubomyr I. Demkiv
Taking into Account the Third Kind Conditions in Weight Estimates for Difference Schemes. LSSC (2005)
Volodymyr L. Makarov, Lyubomyr I. Demkiv
Accuracy Estimates of Difference Schemes for Quasi-Linear Elliptic Equations with Variable Coefficients Taking into Account Boundary Effect. NAA (2004)
Alexander Samarskii, Ivan P. Gavrilyuk, Volodymyr L. Makarov
Stability and Regularization of Three-Level Difference Schemes with Unbounded Operator Coefficients in Banach Spaces. SIAM J. Numer. Anal. 39 (2) (2001)
Ivan P. Gavrilyuk, Nataliya Rossokhataya, Victor Rossokhaty, Volodymyr L. Makarov
Mathematical Model of the Graded-Band-Gap Semiconductor Structure with High Internal Quantum Efficiency. SIAM J. Appl. Math. 59 (6) (1999)