Browsing by Author "Nasser, M. M.S."
Now showing items 1-7 of 7
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A boundary integral method for the general conjugation problem in multiply connected circle domains
Nasser M.M.S. ( Springer International Publishing , 2018 , Article)We present a boundary integral method for solving a certain class of Riemann-Hilbert problems known as the general conjugation problem. The method is based on a uniquely solvable boundary integral equation with the generalized ... -
A fast numerical method for ideal fluid flow in domains with multiple stirrers
Nasser M.M.S.; Green C.C. ( Institute of Physics Publishing , 2018 , Article)A collection of arbitrarily-shaped solid objects, each moving at a constant speed, can be used to mix or stir ideal fluid, and can give rise to interesting flow patterns. Assuming these systems of fluid stirrers are ... -
Conformal Invariants in Simply Connected Domains
Nasser, M.M.S.; Nasser, Mohamed M.S.; Vuorinen, Matti ( Springer Link , 2020 , Article)This paper studies the numerical computation of several conformal invariants of simply connected domains in the complex plane including, the hyperbolic distance, the reduced modulus, the harmonic measure, and the modulus ... -
Numerical conformal mapping onto the entire complex plane bounded with finite straight slit and logarithmic spiral slits
Yunus A.A.M.; Yunus A.; Nasser M.M.S. ( Institute of Physics Publishing , 2019 , Conference Paper)This paper presents a fast boundary integral equation method with for computing conformal mappings of multiply connected regions. We consider the canonical region consists of the entire complex plane bounded by a finite ... -
Numerical conformal mapping onto the exterior unit disk with a straight slit and logarithmic spiral slits
Murid A.H.M.; Yunus A.A.M.; Nasser M.M.S. ( Institute of Physics Publishing , 2019 , Conference Paper)This paper presents a fast boundary integral equation method for numerical conformal mapping of unbounded multiply connected regions onto a disk with an infinite straight slit and finite logarithmic spiral slits. Some ... -
Numerical Conformal Mapping onto the Parabolic, Elliptic and Hyperbolic Slit Domains
Nasser M.M.S. ( Springer , 2018 , Article)This paper presents a numerical method for computing the conformal mappings onto the parabolic slit domain, the elliptic slit domain and the hyperbolic slit domain. The method relies on a boundary integral equation with ... -
The Schottky-Klein prime function: A theoretical and computational tool for applications
Crowdy, D.G.; Kropf, E.H.; Green, C.C.; Nasser, M.M.S. ( Oxford University Press , 2016 , Article)This article surveys the important role, in a variety of applied mathematical contexts, played by the socalled Schottky-Klein (S-K) prime function. While it is a classical special function, introduced by 19th century ...