A fast boundary integral equation method for conformal mapping of multiply connected regions

MMS Nasser, FAA Al-Shihri - SIAM Journal on Scientific Computing, 2013 - SIAM
This paper presents a fast boundary integral equation method for approximating the
conformal mapping from bounded and unbounded multiply connected regions of …

[HTML][HTML] Numerical conformal mapping of multiply connected regions onto the fifth category of Koebe's canonical slit regions

MMS Nasser - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
This paper presents a boundary integral method for approximating the conformal mapping
from bounded multiply connected regions onto the fifth category of Koebe's classical …

有界多连通区域数值保角变换的GMRES (m) 法.

伍康, 吕毅斌, 石允龙, 王樱子 - Applied Mathematics & …, 2022 - search.ebscohost.com
Copyright of Applied Mathematics & Mechanics (1000-0887) is the property of Applied
Mathematics & Mechanics and its content may not be copied or emailed to multiple sites or …

Infinite product representation for the Szegö kernel for an annulus

NS Gafai, AHM Murid… - Journal of Function …, 2022 - Wiley Online Library
The Szegö kernel has many applications to problems in conformal mapping and satisfies the
Kerzman‐Stein integral equation. The Szegö kernel for an annulus can be expressed as a …

Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions

AAM Yunus, AHM Murid… - Proceedings of the …, 2014 - royalsocietypublishing.org
This paper presents a boundary integral equation method with the adjoint generalized
Neumann kernel for computing conformal mapping of unbounded multiply connected …

Improving the accuracy of the charge simulation method for numerical conformal mapping

F Lai, Y Wang, Y Lu, J Wang - Mathematical Problems in …, 2017 - Wiley Online Library
In this paper, we present a method to improve the accuracy of the charge simulation method
for numerical conformal mapping. The method constructs the constraint equation by using …

[PDF][PDF] Numerical evaluation of conformal mapping and its inverse for unbounded multiply connected regions

AAM Yunus, AHM Murid, MMS Nasser - Bull. Malays. Math. Sci. Soc, 2014 - academia.edu
A boundary integral equation method for numerical evaluation of the conformal mapping
and its inverse from unbounded multiply connected regions onto five canonical slit regions is …

Numerical conformal mapping via a boundary integral equation with the adjoint generalized Neumann kernel

M Nasser, AHM Murid, AWK Sangawi - arXiv preprint arXiv:1308.3929, 2013 - arxiv.org
This paper presents a new uniquely solvable boundary integral equation for computing the
conformal mapping, its derivative and its inverse from bounded multiply connected regions …

The approximate conformal mapping of a disk onto domain with an acute angle

PN Ivanshin, EA Shirokova - International Journal of Applied and …, 2023 - Springer
We apply boundary curve reparametrization to find the approximate conformal analytical
map of the unit disk onto an arbitrary given finite domain with a boundary smooth at every …

[PDF][PDF] On approximate conformal mapping of a disk and an annulus with radial and circular slits onto multiply connected domains

PN Ivanshin, EA Shirokova - journal of applied mathematics and …, 2020 - bibliotekanauki.pl
The method of boundary curve reparametrization is generalized to the case of multiply
connected domains. We construct the approximate analytical conformal mapping of the unit …