4 papers
Projective view at Optimization Problem for Multiband Filter
Andrei Bogatyrev
The best uniform rational approximation of the \emph{sign} function on two intervals separated by zero was explicitly solved by E.I. Zolotarëv in 1877. This optimization problem is…
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…
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…