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20192021
most citedThe Riemann-Hilbert problem and the generalized Neumann kernel on unbounded multiply connected regions

6 citations · 7 across the 2 of their papers we have counts for

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math.CV20216 cited

The Riemann-Hilbert problem and the generalized Neumann kernel on unbounded multiply connected regions

Mohamed M. S. Nasser

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 deri…

math.CV2020

Isoperimetric properties of condenser capacity

Mohamed M. S. Nasser, Matti Vuorinen

For compact subsets of the unit disk we study the capacity of the condenser by means of set functionals defined in terms of hyperbolic…

math.CV2020

Conformal Invariants in Simply Connected Domains

Mohamed M S Nasser, Matti Vuorinen

We study numerical computation of several conformal invariants of simply connected domains in the complex plane including, the hyperbolic distance, the reduced modulus, the harmoni…

math.CV20191 cited

PlgCirMap: A MATLAB toolbox for computing conformal mappings from polygonal multiply connected domains onto circular domains

Mohamed M. S. Nasser

This paper presents a MATLAB toolbox for computing the conformal mapping from a given polygonal multiply connected domain onto a circular multiply connected domain and its inverse.…

math.CV2019

Numerical computation of the capacity of generalized condensers

Mohamed M S Nasser, Matti Vuorinen

We present a boundary integral method for numerical computation of the capacity of generalized condensers. The presented method applies to a wide variety of generalized condenser g…

math.CV2019

Computation of conformal invariants

Mohamed M S Nasser, Matti Vuorinen

We study numerical computation of conformal invariants of domains in the complex plane. In particular, we provide an algorithm for computing the conformal capacity of a condenser.…