1 citations · 1 across the 5 of their papers we have counts for
5 papers
A transformation-based approach for solving stiff two-point boundary value problems
Denys Dragunov
A new approach for solving stiff boundary value problems for systems of ordinary differential equations is presented. Its idea essentially generalizes and extends that from arXiv:1…
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…
An efficient approach for solving stiff nonlinear boundary value problems
V. L. Makarov, D. V. Dragunov
A new method for solving stiff boundary value problems is described and compared to other known approaches using the Troesch's problem as a test example. The method is based on the…
Exponentially convergent numerical-analytical method for solving eigenvalue problems for singular differential operators
Volodymyr Makarov, Denys Dragunov, Danyil Bohdan
The article develops and proves an exponentially convergent numerical-analytical method (the FD-method) for solving Sturm-Liouville problems with a singular Legendre operator and a…
The FD-method for solving Sturm-Liouville problems with special singular differential operator
Volodymyr Makarov, Denis Dragunov, Yaroslav Klimenko
In the paper we describe a superexponentially convergent numerical-analytical method for solving the eigenvalue problem for the some class of singular differential operators with b…