Volodymyr L. Makarov

28 papers Journal 25Unranked 3

Year	Rank	Type	Title / Venue / Authors
2024	J	`jnl`	Exponentially convergent method for time-fractional evolution equation. CoRR Vitalii B. Vasylyk, Volodymyr L. Makarov
2024	J	`jnl`	Numerical method for abstract Cauchy problem with nonlinear nonlocal condition. CoRR Volodymyr L. Makarov, Dmytro Sytnyk, Vitalii B. Vasylyk
2021	J	`jnl`	Weighted Estimates of the Cayley Transform Method for Abstract Differential Equations. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya V. Mayko
2020	J	`jnl`	Weighted Estimates for Boundary Value Problems with Fractional Derivatives. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya V. Mayko
2020	J	`jnl`	Weighted estimates of the Cayley transform method for boundary value problems in a Banach space. CoRR Volodymyr L. Makarov, Nataliya V. Mayko
2019	J	`jnl`	An efficient approach for solving stiff nonlinear boundary value problems. J. Comput. Appl. Math. Volodymyr L. Makarov, Denys Dragunov
2019	J	`jnl`	Exponentially convergent symbolic algorithm of the functional-discrete method for the fourth order Sturm-Liouville problems with polynomial coefficients. J. Comput. Appl. Math. Volodymyr L. Makarov, Nataliia Romaniuk
2019	J	`jnl`	The Boundary Effect in the Accuracy Estimate for the Grid Solution of the Fractional Differential Equation. Comput. Methods Appl. Math. Volodymyr L. Makarov, Nataliya V. Mayko
2018	J	`jnl`	Super-Exponentially Convergent Parallel Algorithm for a Fractional Eigenvalue Problem of Jacobi-Type. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliia Romaniuk
2018	J	`jnl`	Symbolic Algorithm of the Functional-Discrete Method for a Sturm-Liouville Problem with a Polynomial Potential. Comput. Methods Appl. Math. Volodymyr L. Makarov, Nataliia Romaniuk
2016	J	`jnl`	Super-Exponentially Convergent Parallel Algorithm for Eigenvalue Problems with Fractional Derivatives. Comput. Methods Appl. Math. Lyubomyr I. Demkiv, Ivan P. Gavrilyuk, Volodymyr L. Makarov
2014	J	`jnl`	On the interpolation of a function on a bounded domain by its traces on parametric hypersurfaces. Int. J. Comput. Math. Roman Chapko, Christina Babenko, Volodymyr Khlobystov, Volodymyr L. Makarov
2013	J	`jnl`	An exponentially convergent functional-discrete method for solving Sturm-Liouville problems with a potential including the Dirac δ-function. J. Comput. Appl. Math. Volodymyr L. Makarov, Nataliya Rossokhata, Denys Dragunov
2013	J	`jnl`	Stability and Regularization of Difference Schemes in Banach and Hilbert Spaces. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Volodymyr L. Makarov
2013	J	`jnl`	The FD-method for solving Sturm-Liouville problems with special singular differential operator. Math. Comput. Volodymyr L. Makarov, Denys Dragunov, Ya. V. Klimenko
2012	J	`jnl`	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. Volodymyr L. Makarov, Nataliya Rossokhata, Denys Dragunov
2011	J	`jnl`	A numerical-analytic method for solving the Cauchy problem for ordinary differential equations. Comput. Methods Appl. Math. Volodymyr L. Makarov, Denys Dragunov
2010	J	`jnl`	Two-point difference schemes of an arbitrary given order of accuracy for nonlinear BVPs. Appl. Math. Lett. Ivan P. Gavrilyuk, Martin Hermann, Myroslav V. Kutniv, Volodymyr L. Makarov
2009	J	`jnl`	A Metod with a Controllable Exponential Convergence Rate for Nonlinear Differential Operator Equations. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, I. I. Lazurchak, Volodymyr L. Makarov, Dmytro Sytnyk
2008	—	`conf`	Weight Uniform Accuracy Estimates of Finite Difference Method for Poisson Equation, Taking into Account Boundary Effect. NAA Volodymyr L. Makarov, Lyubomyr I. Demkiv
2007	J	`jnl`	An exponentially convergent algorithm for nonlinear differential equations in Banach spaces. Math. Comput. Ivan P. Gavrilyuk, Volodymyr L. Makarov
2007	J	`jnl`	Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach Space. SIAM J. Numer. Anal. T. Yu. Bohonova, Ivan P. Gavrilyuk, Volodymyr L. Makarov, Vitalii B. Vasylyk
2005	J	`jnl`	Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces. Math. Comput. Ivan P. Gavrilyuk, Volodymyr L. Makarov
2005	J	`jnl`	Exponentially Convergent Algorithms for the Operator Exponential with Applications to Inhomogeneous Problems in Banach Spaces. SIAM J. Numer. Anal. Ivan P. Gavrilyuk, Volodymyr L. Makarov
2005	—	`conf`	Taking into Account the Third Kind Conditions in Weight Estimates for Difference Schemes. LSSC Volodymyr L. Makarov, Lyubomyr I. Demkiv
2004	—	`conf`	Accuracy Estimates of Difference Schemes for Quasi-Linear Elliptic Equations with Variable Coefficients Taking into Account Boundary Effect. NAA Volodymyr L. Makarov, Lyubomyr I. Demkiv
2001	J	`jnl`	Stability and Regularization of Three-Level Difference Schemes with Unbounded Operator Coefficients in Banach Spaces. SIAM J. Numer. Anal. Alexander Samarskii, Ivan P. Gavrilyuk, Volodymyr L. Makarov
1999	J	`jnl`	Mathematical Model of the Graded-Band-Gap Semiconductor Structure with High Internal Quantum Efficiency. SIAM J. Appl. Math. Ivan P. Gavrilyuk, Nataliya Rossokhataya, Victor Rossokhaty, Volodymyr L. Makarov