1 citations · 1 across the 9 of their papers we have counts for
10 papers
The approximate conformal mapping of a disk onto domain with an acute angle
Pyotr N. Ivanshin, Elena A. Shirokova
The method of boundary curve reparametrization is applied to construction of the approximate analytical conformal mapping of the unit disk onto an arbitrary given finite domain wit…
Construction of complex potentials for multiply connected domains
Pyotr N. Ivanshin
The method of reduction of a Fredholm integral equation to the linear system is generalized to construction of a complex potential --- an analytic function in an infinite multiply…
Continued fractions and conformal mappings for domains with angle points
Pyotr N. Ivanshin
Here we construct the conformal mappings with the help of continuous fractions approximations. These approximations converge to the algebraic roots for $N \in \mathbb…
Quasisolution of the inverse 3D aerohydrodynamics problem
Pyotr Ivanshin
In the article we generalise the quasisolution approach to the planar aerohydrodynamics problems to 3D case. We search for solution in the form of the linear spline.
Spline-interpolation solution of 3D Dirichlet problem for one class of solids
Pyotr Ivanshin, Elena Shirokova
We present the spline-interpolation approximate solution of the Dirichlet problem for the Laplace equation in the bodies of revolution, cones and cylinders. Our method is based on…
Properties of two selections in metric spaces of Busemann nonpositive curvature
Pyotr Ivanshin
In this article the author presents results on the selection for the space of convex hulls of points and compacts of the complete convex metric space of Busemann nonpositve cur…