We study the conformal capacity by using novel computational algorithms based on
implementations of the fast multipole method, and analytic techniques. Especially, we apply …

We study numerical conformal mappings of planar Jordan domains with boundaries
consisting of finitely many circular arcs, also called polycircular domains, and compute the …

Conformal capacity is a mathematical quantity relevant to a wide range of physical and
mathematical problems and recently there has been a resurgence of interest in devising …

This paper studies the numerical computation of several conformal invariants of simply
connected domains in the complex plane including, the hyperbolic distance, the reduced …

基于模拟电荷法, 研究了将具有高连通度的有界区域映射到带有对数螺旋狭缝单位圆环域的共形
映射计算法提出利用BiCR (bi⁃ conjugate residual) 算法求解由Dirichlet 边界条件建立的约束 …

Conformal Modulus of the Exterior of Two Rectilinear Slits | Computational Methods and
Function Theory Skip to main content SpringerLink Account Menu Find a journal Publish …

We investigate moduli of planar circular quadrilaterals that are symmetric with respect to
both coordinate axes. First we develop an analytic approach that reduces this problem to …

In this paper, we propose the iterative numerical methods to calculate the conformal
preimage domains for the specified logarithmic spiral slit regions and develop the …

We study numerical conformal mapping of multiply connected planar domains with
boundaries consisting of unions of finitely many circular arcs, so called polycircular domains …

We discuss problems concerning the conformal condenser capacity of “hedgehogs”, which
are compact sets $ E $ in the unit disk $\mathbb {D}=\{z:\,| z|< 1\} $ consisting of a central …