The traditional view in numerical conformal mapping is that once the boundary
correspondence function has been found, the map and its inverse can be evaluated by …

Planar harmonic functions are complex-valued functions whose real and imaginary parts are
not necessarily conjugate, ie, do not need to satisfy the Cauchy-Riemann equations …

A general optimization method, based on the power series method, is presented for
computing the conformal mappings with explicit expressions from:(a) the unit disc onto an …

In cellular networks, users are grouped into different cells and served by different access
points (base stations) that provide wireless access to services and applications. In general …

Carl Friedrich Gauss, the" foremost of mathematicians," was a land surveyor. Measuring and
calculating geodetic networks on the curved Earth was the inspiration for some of his …

This paper compares some methods for computing conformal maps from simply and multiply
connected domains bounded by circles to target domains bounded by smooth curves and …

A non-intrusive extension to the standard p-version of the finite element method, so-called
harmonic extension elements, is studied in the context of eigenproblems. The standard …

In this paper, two identities involving a function defined by the complete elliptic integrals of
the first and second kinds are proved. Some functional inequalities and elementary …

We study the problem of computing the conformal modulus of rings and quadrilaterals with
strong singularities and cusps on their boundary. We reduce this problem to the numerical …

Riemann–Schwarz Reflection Principle and Asymptotics of Modules of Rectangular Frames |
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