Riemann left us with the problem of how to determine for a given region G such a conformal
mapping from G to D, or the inverse mapping from D to G. There are many well-studied …

Moduli of rings and quadrilaterals are frequently applied in geometric function theory; see,
eg, the handbook by Kühnau Handbook of Complex Analysis: Geometric Function Theory …

Geometric Function Theory is a central part of Complex Analysis (one complex variable).
The Handbook of Complex Analysis-Geometric Function Theory deals with this field and its …

A brief outline is given of some of the main historical developments in the theory and
practice of conformal mappings. Originating with the science of cartography, conformal …

Finding surface mappings with least distortion arises from many applications in various
fields. Extremal Teichmüller maps are surface mappings with least conformality distortion …

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 …

This paper presents a method to compute the quasi-conformal parameterization (QCMC) for
a multiply-connected 2D domain or surface. QCMC computes a quasi-conformal map from a …

A numerical method for computing the extremal Teichmüller map between multiply-
connected domains is presented. Given two multiply-connected domains, there exists a …

A variant of the classical Koebe-logarithm osculation algorithm for conformal mapping is
obtained by inserting a hyperbolic sine at an intermediate step. The modulus of …

For a large indefinite linear system, there exists the option to directly precondition for the
normal equations. Matrix nearness problems are formulated to assess the attractiveness of …