Πλοήγηση Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics ανά Συγγραφέα "Warby, M. K."
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Article
The determination of the poles of the mapping function and their use in numerical conformal mapping
Papamichael, Nicolas; Warby, M. K.; Hough, D. M. (1983)Let f{hook} be the function which maps conformally a simply-connected domain Ω onto the unit disc. This paper is concerned with the problem of determining the dominant poles of f{hook} in compl(Ω ∪ ∂ Ω), and of using this ...
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Article
Numerical conformal mapping techniques for the solution of two-dimensional laplacian boundary value problems
Papamichael, Nicolas; Warby, M. K. (1987)We consider the use of a numerical conformal mapping technique for the solution of Laplacian boundary value problems. In particular, we report recent developments concerning the application of the Bergman kernel method for ...
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Article
Numerical techniques for conformal mapping onto a rectangle
Papamichael, Nicolas; Kokkinos, C. A.; Warby, M. K. (1987)This paper is concerned with the problem of determining approximations to the function F which maps conformally a simply-connected domain Ω onto a rectangle R, so that four specified points on ∂Ω are mapped respectively ...
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Article
Pole-type singularities and the numerical conformal mapping of doubly-connected domains
Papamichael, Nicolas; Warby, M. K. (1984)Let f be the function which maps conformally a given doubly-connected domain Ω onto a circular annulus, and let H(z)= f′(z) f(z)- 1 z. In this paper we consider the problem of determining the main singularities of the ...
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Article
Stability and convergence properties of Bergman kernel methods for numerical conformal mapping
Papamichael, Nicolas; Warby, M. K. (1986)In this paper we study the stability and convergence properties of Bergman kernel methods, for the numerical conformal mapping of simply and doubly-connected domains. In particular, by using certain wellknown results of ...
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Article
The treatment of corner and pole-type singularities in numerical conformal mapping techniques
Papamichael, Nicolas; Warby, M. K.; Hough, D. M. (1986)This paper is a report of recent developments concerning the nature and the treatment of singularities that affect certain numerical conformal mapping techniques. The paper also includes some new results on the nature of ...