Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Nasser, Mohamed M. S."'
We consider constellations of disks which are unions of disjoint hyperbolic disks in the unit disk with fixed radii and unfixed centers. We study the problem of maximizing the conformal capacity of a constellation under constraints on the centers in
Externí odkaz:
http://arxiv.org/abs/2404.19663
A boundary integral equation method is presented for fast computation of the analytic capacities of compact sets in the complex plane. The method is based on using the Kerzman--Stein integral equation to compute the Szeg\"o kernel and then the value
Externí odkaz:
http://arxiv.org/abs/2307.01808
This paper is concerned with the numerical computation of the harmonic-measure distribution function, or $h$-function for short, associated with a particular planar domain. This function describes the hitting probability of a Brownian walker released
Externí odkaz:
http://arxiv.org/abs/2306.00235
For a fixed integer $m>2$ and $r_j>0, j=1,...,m,$ our focus is to study disjoint disks with hyperbolic radii $r_j$ and the set $E$ which is their union in the hyperbolic space, the unit disk equipped with the hyperbolic metric. Such a set is called a
Externí odkaz:
http://arxiv.org/abs/2303.00145
For augmentation of the square-shaped image data of a convolutional neural network (CNN), we introduce a new method, in which the original images are mapped onto a disk with a conformal mapping, rotated around the center of this disk and mapped under
Externí odkaz:
http://arxiv.org/abs/2212.05258
We study the mixed Dirichlet-Neumann problem for the Laplace equation in the complement of a bounded convex polygonal quadrilateral in the extended complex plane. The Dirichlet\,/\,Neumann conditions at opposite pairs of sides are $\{0,1\}$ and $\{0,
Externí odkaz:
http://arxiv.org/abs/2206.01316
Let $\Omega$ be the multiply connected domain in the extended complex plane $\overline{\C}$ obtained by removing $m$ non-overlapping rectilinear segments from the infinite strip $S=\{z\,:\, \left|\Im z\right|<\pi/2\}$. In this paper, we present an it
Externí odkaz:
http://arxiv.org/abs/2204.00726
We study numerical conformal mapping of multiply connected planar domains with boundaries consisting of unions of finitely many circular arcs, so called polycircular domains. We compute the conformal capacities of condensers defined by polycircular d
Externí odkaz:
http://arxiv.org/abs/2202.12922
Publikováno v:
Numerical Algorithms, 93 (2023), 581-614
We apply the Charge Simulation Method (CSM) in order to compute the logarithmic capacity of compact sets consisting of (infinitely) many "small" components. This application allows to use just a single charge point for each component. The resulting m
Externí odkaz:
http://arxiv.org/abs/2201.10228
Autor:
Nasser, Mohamed M. S.
Publikováno v:
The University Researcher (IBB University Journal), 20 (2009) 47-60
A Fredholm integral equation of the second kind with the generalized Neumann kernel associated with the Riemann-Hilbert problem on unbounded multiply connected regions will be derived and studied in this paper. The derived integral equation yields a
Externí odkaz:
http://arxiv.org/abs/2107.11483