14 citations · 66 across the 17 of their papers we have counts for
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Metastable states of sub-micron scale ferromagnetic periodic antidot arrays
Andrei B. Bogatyrëv, Konstantin L. Metlov
The magnetic textures on nanoscale possess topological features due to the continuity of the magnetization vector field and its boundary conditions. In thin planar nanoelements, wh…
Blaschke product for bordered surface
Andrei Bogatyrev
It is well known that a ramified holomorphic covering of a closed unitary disc by another such a disc is given by a finite Blaschke product. The inverse is also true. In this note…
Recent Progress in Optimization of Multiband Electrical Filters
Andrei Bogatyrëv
The best uniform rational approximation of the \emph{sign} function on two intervals was explicitly found by Russian mathematician E.I. Zolotarëv in 1877. The progress in math even…
Water flow under rectangular dam
Andrei Bogatyrëv, Oleg Grigor'ev
A new analytical method for calculation the characteristics of the flow in porous medium bounded by a rectangular polygonal path is proposed. The method is based on the usage of hi…
On capacity computation for symmetric polygonal condensers
Sergei Bezrodnykh, Andrei Bogatyrev, Sergei Goreinov +3
Making use of two different analytical-numerical methods for capacity computation, we obtain matching to a very high precision numerical values for capacities of a wide family of p…