3 papers
math.NA2020
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…
math.NA2018
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…
math.CA2018
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…