Volodymyr L. Makarov

Orcid: 0000-0002-4883-6574

Affiliations:
  • National Academy of Sciences in Ukraine, Institute of Mathematics, Kiev, Ukraine


According to our database1, Volodymyr L. Makarov authored at least 27 papers between 1999 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

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Bibliography

2024
Numerical method for abstract Cauchy problem with nonlinear nonlocal condition.
CoRR, 2024

2021
Weighted Estimates of the Cayley Transform Method for Abstract Differential Equations.
Comput. Methods Appl. Math., 2021

2020
Weighted estimates of the Cayley transform method for boundary value problems in a Banach space.
CoRR, 2020

Weighted Estimates for Boundary Value Problems with Fractional Derivatives.
Comput. Methods Appl. Math., 2020

2019
Exponentially convergent symbolic algorithm of the functional-discrete method for the fourth order Sturm-Liouville problems with polynomial coefficients.
J. Comput. Appl. Math., 2019

An efficient approach for solving stiff nonlinear boundary value problems.
J. Comput. Appl. Math., 2019

The Boundary Effect in the Accuracy Estimate for the Grid Solution of the Fractional Differential Equation.
Comput. Methods Appl. Math., 2019

2018
Symbolic Algorithm of the Functional-Discrete Method for a Sturm-Liouville Problem with a Polynomial Potential.
Comput. Methods Appl. Math., 2018

Super-Exponentially Convergent Parallel Algorithm for a Fractional Eigenvalue Problem of Jacobi-Type.
Comput. Methods Appl. Math., 2018

2016
Super-Exponentially Convergent Parallel Algorithm for Eigenvalue Problems with Fractional Derivatives.
Comput. Methods Appl. Math., 2016

2014
On the interpolation of a function on a bounded domain by its traces on parametric hypersurfaces.
Int. J. Comput. Math., 2014

2013
The FD-method for solving Sturm-Liouville problems with special singular differential operator.
Math. Comput., 2013

An exponentially convergent functional-discrete method for solving Sturm-Liouville problems with a potential including the Dirac δ-function.
J. Comput. Appl. Math., 2013

Stability and Regularization of Difference Schemes in Banach and Hilbert Spaces.
Comput. Methods Appl. Math., 2013

2012
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., 2012

2011
A numerical-analytic method for solving the Cauchy problem for ordinary differential equations.
Comput. Methods Appl. Math., 2011

2010
Two-point difference schemes of an arbitrary given order of accuracy for nonlinear BVPs.
Appl. Math. Lett., 2010

2009
A Metod with a Controllable Exponential Convergence Rate for Nonlinear Differential Operator Equations.
Comput. Methods Appl. Math., 2009

2008
Weight Uniform Accuracy Estimates of Finite Difference Method for Poisson Equation, Taking into Account Boundary Effect.
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008

2007
Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach Space.
SIAM J. Numer. Anal., 2007

An exponentially convergent algorithm for nonlinear differential equations in Banach spaces.
Math. Comput., 2007

2005
Exponentially Convergent Algorithms for the Operator Exponential with Applications to Inhomogeneous Problems in Banach Spaces.
SIAM J. Numer. Anal., 2005

Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces.
Math. Comput., 2005

Taking into Account the Third Kind Conditions in Weight Estimates for Difference Schemes.
Proceedings of the Large-Scale Scientific Computing, 5th International Conference, 2005

2004
Accuracy Estimates of Difference Schemes for Quasi-Linear Elliptic Equations with Variable Coefficients Taking into Account Boundary Effect.
Proceedings of the Numerical Analysis and Its Applications, Third International Conference, 2004

2001
Stability and Regularization of Three-Level Difference Schemes with Unbounded Operator Coefficients in Banach Spaces.
SIAM J. Numer. Anal., 2001

1999
Mathematical Model of the Graded-Band-Gap Semiconductor Structure with High Internal Quantum Efficiency.
SIAM J. Appl. Math., 1999


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