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ORCIDVolodymyr L. Makarov
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- affiliation: National Academy of Sciences in Ukraine, Institute of Mathematics, Kiev, Ukraine
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Journal Articles
- 2021
[j22]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): 53-68 (2021)- 2020
- [j21]Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya V. Mayko:
Weighted Estimates for Boundary Value Problems with Fractional Derivatives. Comput. Methods Appl. Math. 20(4): 609-630 (2020) - 2019
- [j20]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): 379-394 (2019) - [j19]Volodymyr L. Makarov, Denys Dragunov:
An efficient approach for solving stiff nonlinear boundary value problems. J. Comput. Appl. Math. 345: 452-470 (2019) - [j18]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: 405-423 (2019) - 2018
- [j17]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): 21-32 (2018) - [j16]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): 703-715 (2018) - 2016
- [j15]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): 633-652 (2016) - 2014
- [j14]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): 1673-1682 (2014) - 2013
- [j13]Ivan P. Gavrilyuk, Volodymyr L. Makarov:
Stability and Regularization of Difference Schemes in Banach and Hilbert Spaces. Comput. Methods Appl. Math. 13(2): 139-160 (2013) - [j12]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: 39-57 (2013) - [j11]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): 953-973 (2013) - 2012
- [j10]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): 46-72 (2012) - 2011
- [j9]Volodymyr L. Makarov, Denys Dragunov:
A numerical-analytic method for solving the Cauchy problem for ordinary differential equations. Comput. Methods Appl. Math. 11(4): 491-509 (2011) - 2010
- [j8]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): 585-590 (2010) - 2009
- [j7]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): 63-78 (2009) - 2007
- [j6]Ivan P. Gavrilyuk, Volodymyr L. Makarov:
An exponentially convergent algorithm for nonlinear differential equations in Banach spaces. Math. Comput. 76(260): 1895-1923 (2007) - [j5]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): 365-396 (2007) - 2005
- [j4]Ivan P. Gavrilyuk, Volodymyr L. Makarov:
Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces. Math. Comput. 74(250): 555-583 (2005) - [j3]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): 2144-2171 (2005) - 2001
- [j2]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): 708-723 (2001) - 1999
- [j1]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): 2121-2138 (1999)
Conference and Workshop Papers
- 2008
- [c3]Volodymyr L. Makarov, Lyubomyr I. Demkiv:
Weight Uniform Accuracy Estimates of Finite Difference Method for Poisson Equation, Taking into Account Boundary Effect. NAA 2008: 92-103 - 2005
- [c2]Volodymyr L. Makarov, Lyubomyr I. Demkiv:
Taking into Account the Third Kind Conditions in Weight Estimates for Difference Schemes. LSSC 2005: 687-694 - 2004
- [c1]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: 80-90
Informal and Other Publications
- 2024
- [i3]Volodymyr L. Makarov, Dmytro Sytnyk, Vitalii B. Vasylyk:
Numerical method for abstract Cauchy problem with nonlinear nonlocal condition. CoRR abs/2408.13944 (2024) - [i2]Vitalii B. Vasylyk, Volodymyr L. Makarov:
Exponentially convergent method for time-fractional evolution equation. CoRR abs/2412.17521 (2024) - 2020
- [i1]Volodymyr L. Makarov, Nataliya V. Mayko:
Weighted estimates of the Cayley transform method for boundary value problems in a Banach space. CoRR abs/2007.01410 (2020)
Coauthor Index
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