New algorithms are presented for numerical conformal mapping based on rational approximations and the solution of Dirichlet problems by least-squares fitting on the boundary. The methods are targeted at regions with corners, where the Dirichlet problem is solved by the “lightning Laplace solver” with poles exponentially clustered near each singularity. For polygons and circular polygons, further simplifications are possible
We propose a new algorithm for computing the Riemann mapping of the unit disk to a polygon, also kno...
Thesis (Ph.D.)-- Wichita State University, Fairmount College of Liberal Arts and Sciences, Dept. of ...
AbstractThis paper is a report of recent developments concerning the nature and the treatment of sin...
New algorithms are presented for numerical conformal mapping based on rational approximations and th...
The traditional view in numerical conformal mapping is that once the boundary correspondence functio...
AbstractLet F be the function which maps conformally a simply-connected domain Ω onto a rectangle R,...
AbstractWe propose a method to map a multiply connected bounded planar region conformally to a bound...
AbstractMethods are presented for approximating the conformal map from the interior of various regio...
A new method is introduced for solving Laplace problems on 2D regions with corners by approximation ...
By exploiting conformal maps to vertically slit regions in the complex plane, a recently developed r...
AbstractLet f0 be the conformal mapping of a given simply connected region R onto a disk D. It is kn...
Methods are presented for approximating the conformal map from the interior of various regions to th...
A method is developed for constructing the conformal map of a distorted region onto a rectangle. A d...
AbstractNumerical conformal mapping methods for regions with a periodic boundary have been developed...
Let F be the function which maps conformally a simple-connected domain onto a rectangle R, so that f...
We propose a new algorithm for computing the Riemann mapping of the unit disk to a polygon, also kno...
Thesis (Ph.D.)-- Wichita State University, Fairmount College of Liberal Arts and Sciences, Dept. of ...
AbstractThis paper is a report of recent developments concerning the nature and the treatment of sin...
New algorithms are presented for numerical conformal mapping based on rational approximations and th...
The traditional view in numerical conformal mapping is that once the boundary correspondence functio...
AbstractLet F be the function which maps conformally a simply-connected domain Ω onto a rectangle R,...
AbstractWe propose a method to map a multiply connected bounded planar region conformally to a bound...
AbstractMethods are presented for approximating the conformal map from the interior of various regio...
A new method is introduced for solving Laplace problems on 2D regions with corners by approximation ...
By exploiting conformal maps to vertically slit regions in the complex plane, a recently developed r...
AbstractLet f0 be the conformal mapping of a given simply connected region R onto a disk D. It is kn...
Methods are presented for approximating the conformal map from the interior of various regions to th...
A method is developed for constructing the conformal map of a distorted region onto a rectangle. A d...
AbstractNumerical conformal mapping methods for regions with a periodic boundary have been developed...
Let F be the function which maps conformally a simple-connected domain onto a rectangle R, so that f...
We propose a new algorithm for computing the Riemann mapping of the unit disk to a polygon, also kno...
Thesis (Ph.D.)-- Wichita State University, Fairmount College of Liberal Arts and Sciences, Dept. of ...
AbstractThis paper is a report of recent developments concerning the nature and the treatment of sin...