7 citations · 20 across the 15 of their papers we have counts for
15 papers
Weighted estimates of the Cayley transform method for boundary value problems in a Banach space
V. L. Makarov, N. V. Mayko
We consider the boundary value problems (BVPs) for linear secondorder ODEs with a strongly positive operator coefficient in a Banach space. The solutions are given in the form of t…
SI-method for solving stiff nonlinear boundary value problems
Volodymyr Makarov, Denys Dragunov
The paper contains a thorough theoretical analysis of the SI-method, which was firstly introduced in arXiv:1601.04272v8 and proved to be remarkably stable and efficient when applie…
Exponentially convergent symbolic algorithm of the functional-discrete method for the fourth order Sturm-Liouville problems with polynomial coefficients
Volodymyr Makarov, Nataliia Romaniuk
A new symbolic algorithmic implementation of the functional-discrete (FD-) method is developed and justified for the solution of fourth order Sturm--Liouville problem on a finite i…
Interpolation of functional by integral continued C-fractions
Volodymyr L. Makarov, Mykhaylo M. Pahirya
The functional interpolation problem on a continual set of nodes by an integral continued C-fraction is studied. The necessary and sufficient conditions for its solvability are fou…
Symbolic Algorithm of the Functional-Discrete Method for a Sturm-Liouville Problem with a Polynomial Potential
Volodymyr Makarov, Nataliia Romaniuk
A new symbolic algorithmic implementation of the general scheme of the exponentially convergent functional-discrete (FD-) method is developed and justified for the Sturm-Liouville…
Super-Exponentially Convergent Parallel Algorithm for a Fractional Eigenvalue Problem of Jacobi-Type
Ivan Gavrilyuk, Volodymyr Makarov, Nataliia Romaniuk
A new algorithm for eigenvalue problems for the fractional Jacobi type ODE is proposed. The algorithm is based on piecewise approximation of the coefficients of the differential eq…