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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…