Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Subject "Numerical conformal mapping"
Now showing items 1-7 of 7
-
Article
Approximating the conformal maps of elongated quadrilaterals by domain decomposition
(2001)Let Q := {Ω
-
Article
The asymptotic behavior of conformal modules of quadrilaterals with applications to the estimation of resistance values
(1999)We consider the conformal mapping of "strip-like" domains and derive a number of asymptotic results for computing the conformal modules of an associated class of quadrilaterals. These results are then used for the following ...
-
Article
Curvilinear crosscuts of subdivision for a domain decomposition method in numerical conformal mapping
(1999)Let Q:= {Ω
-
Article
The determination of the poles of the mapping function and their use in numerical conformal mapping
(1983)Let f{hook} be the function which maps conformally a simply-connected domain Ω onto the unit disc. This paper is concerned with the problem of determining the dominant poles of f{hook} in compl(Ω ∪ ∂ Ω), and of using this ...
-
Article
Error analysis of the Bergman kernel method with singular basis functions
(2011)Let G be a bounded Jordan domain in the complex plane with a piecewise analytic boundary. We present theoretical estimates and numerical evidence for certain phenomena, regarding the application of the Bergman kernel method ...
-
Article
Pole-type singularities and the numerical conformal mapping of doubly-connected domains
(1984)Let f be the function which maps conformally a given doubly-connected domain Ω onto a circular annulus, and let H(z)= f′(z) f(z)- 1 z. In this paper we consider the problem of determining the main singularities of the ...
-
Article
The treatment of corner and pole-type singularities in numerical conformal mapping techniques
(1986)This paper is a report of recent developments concerning the nature and the treatment of singularities that affect certain numerical conformal mapping techniques. The paper also includes some new results on the nature of ...