Browsing by Author "Papamichael, Nicolas"
Now showing items 120 of 51

Article
Approximating the conformal maps of elongated quadrilaterals by domain decomposition
Falcão, M. I.; Papamichael, Nicolas; Stylianopoulos, Nikos S. (2001)Let Q := {Ω

Article
Approximation of conformal mappings of annular regions
Papamichael, Nicolas; Pritsker, I. E.; Saff, E. B.; Stylianopoulos, Nikos S. (1997)In this paper we examine the convergence rates in an adaptive version of an orthonormalization method for approximating the conformal mapping f of an annular region A onto a circular annulus. In particular, we consider the ...

Article
The asymptotic behavior of conformal modules of quadrilaterals with applications to the estimation of resistance values
Papamichael, Nicolas; Stylianopoulos, Nikos S. (1999)We consider the conformal mapping of "striplike" domains and derive a number of asymptotic results for computing the conformal modules of an associated class of quadrilaterals. These results are then used for the following ...

Article
Asymptotic behaviour of zeros of Bieberbach polynomials
Papamichael, Nicolas; Saff, E. B.; Gong, J. (1991)Let Ω be a simplyconnected domain in the complex plane and let πn denote the nthdegree Bieberbach polynomial approximation to the conformal map f of Ω onto a disc. In this paper we investigate the asymptotic behaviour ...

Article
Asymptotic Zero Distribution of LaurentType Rational Functions
Papamichael, Nicolas; Pritsker, I. E.; Saff, E. B. (1997)We study convergence and asymptotic zero distribution of sequences of rational functions with fixed location of poles that approximate an analytic function in a multiply connected domain. Although the study of zero ...

Article
The bergman kernel method for the numerical conformal mapping of simply connected domains
Levin, D.; Papamichael, Nicolas; Sideridis, Alexander B. (1978)A numerical method for the conformal mapping of simplyconnected domains onto the unit disc is considered. The method is based on the use of the Bergman kernel function of the domain. It is shown that, for a successful ...

Article
A Class of C2Piecewise Quintic Polynomials
Papamichael, Nicolas; Worsey, A. J. (1980)A new class of C2piecewise quintic interpolatory polynomials is defined. It is shown that this new class contains a number of interpolatory functions which present practical advantages, when compared with the conventional ...

Article
A class of piecewisecubic interpolatory polynomials
Behforooz, G. H.; Papamichael, Nicolas; Worsey, A. J. (1980)A new class of C1 piecewisecubic interpolatory polynomials is defined, by generalizing the definition of cubic Xsplines given recently by Clenshaw & Negus (1978). It is shown that this new class contains a number of ...

Book
Computational methods and function theory 1997 proceedings of the Third CMFT Conference, 1317 October 1997, Nicosia, Cyprus
Papamichael, Nicolas; Ruscheweyh, Stephan; Saff, E. B. (World Scientific, 1999)

Article
Cubic and quintic splineonspline interpolation
Papamichael, Nicolas; Soares, Maria Joana (1987)This paper is concerned with the cubic splineonspline procedure considered by Dolezal and Tewarson [3]. We show that when the knots are equally spaced, with spacing h, then the order of accuracy of the splineonspline ...

Article
Cubic spline interpolation of harmonic functions
Papamichael, Nicolas; Whiteman, J. R. (1974)It is shown that for the two dimensional Laplace equation a univariate cubic spline approximation in either space direction together with a difference approximation in the other leads to the wellknown ninepoint ...

Article
A cubic spline method for the solution of a linear fourthorder twopoint boundary value problem
Papamichael, Nicolas; Worsey, A. J. (1981)A cubic spline method is described for the numerical solution of a twopoint boundary value problem, involving a fourth order linear differential equation. This spline method is shown to be closely related to a known fourth ...

Article
A cubic spline technique for the one dimensional heat conduction equation
Papamichael, Nicolas; Whiteman, J. R. (1973)A cubic spline approximation to the heat conduction equation is shown to correspond to a special case of a finitedifference scheme considered by Saul'yev. The spline approximation produces at each time level a spline ...

Article
Curvilinear crosscuts of subdivision for a domain decomposition method in numerical conformal mapping
Falcão, M. I.; Papamichael, Nicolas; Stylianopoulos, Nikos S. (1999)Let Q:= {Ω

Article
The determination of consistent orderings for the SOR iterative method
Papamichael, Nicolas; Smith, G. D. (1975)A pcyclic matrix A can always be transformed into a consistently ordered form PAPT, where P is a permutation matrix. In this paper simple and systematic techniques are described for establishing the cyclicity of a matrix ...

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 simplyconnected 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 ...

Article
A domain decomposition method for approximating the conformal modules of long quadrilaterals
Papamichael, Nicolas; Stylianopoulos, Nikos S. (1992)This paper is concerned with the study of a domain decomposition method for approximating the conformal modules of long quadrilaterals. The method has been studied already by us and also by D. Gaier and W.K. Hayman, but ...

Article
A domain decomposition method for conformal mapping onto a rectangle
Papamichael, Nicolas; Stylianopoulos, Nikos S. (1991)Let g be the function which maps conformally a rectangle R onto a simply connected domain G so that the four vertices of R are mapped respectively onto four specified points z1, z2, z3, z4 on ∂G. This paper is concerned ...

Article
End conditions for cubic spline interpolation
Behforooz, G. H.; Papamichael, Nicolas (1979)A class of end conditions is derived for cubic spline interpolation at equally spaced knots. These conditions are in terms of function values at the knots and give rise to O(h4) spline approximations. © 1978, by Academic ...

Article
End conditions for improved cubic spline derivative approximations
Papamichael, Nicolas; Worsey, A. J. (1981)We consider the problem of deriving accurate end conditions for cubic spline interpolation at equally spaced knots. In particular we derive a number of end conditions which lead to derivative approximations of high accuracy. ...