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2 edition of numerical method for the computation of Faber polynomials for starlike domains found in the catalog.

numerical method for the computation of Faber polynomials for starlike domains

Nicholas Papamichael

# numerical method for the computation of Faber polynomials for starlike domains

## by Nicholas Papamichael

Published by Brunel University, Department of Mathematics and Statistics in Uxbridge .
Written in English

Edition Notes

The Physical Object ID Numbers Statement N. Papamichael, Maria Joana Soares, N.S. Stylianpoulos. Series TR/07/91 Contributions Soares, Maria Joana., Stylianopoulos, Nikolaos Stavros. Pagination 17p. Number of Pages 17 Open Library OL19719821M

SIAM Journal on Numerical Analysis , On the Computation of the Zeros of the Bessel Polynomials. Approximation and Computation: A Festschrift in Honor of Walter Gautschi, () Starlike domains of convergence for Newton's method at by:   We present a numerical method for the computation of the conformal map from unbounded multiply-connected domains onto lemniscatic domains. For $$\ell$$-times connected domains, the method requires solving $$\ell$$ boundary integral equations with the Neumann by: 8.

Nikos Stylianopoulos's 37 research works with citations and reads, including: Perturbations of Christoffel-Darboux kernels. I: detection of outliers. SIAM Journal on Numerical Analysis , () Expanded Convergence Domains for Newton’s Method at Nearly Singular Roots. SIAM Journal on Scientific and Statistical Computing , () Starlike domains of convergence for Newton's method at by:

Given a vector function $$\mathbf F =(F_1,\ldots,F_d),$$ analytic on a neighborhood of some compact subset E of the complex plane with simply connected complement, we define a sequence of vector rational functions with common denominator in terms of the expansions of the components $$F_k, k=1,\ldots,d,$$ with respect to the sequence of Faber polynomials associated with by: 1. An Elimination Algorithm for the Computation of All Zeros of a System of Multivariate Polynomial Equations. Numerical Mathematics Singapore , () Invariant tori through direct solution of the Hamilton-Jacobi by:

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### Numerical method for the computation of Faber polynomials for starlike domains by Nicholas Papamichael Download PDF EPUB FB2

IMA Journal of Numerical Analysis () 13, A numerical method for the computation of Faber polynomials for starlike domains N. PAPAMICHAEL,*\$ M. SOARESI AND N. STYLIANOPOULOS* * Department of Mathematics and Statistics, Brunei University, Uxbridge.

Middlesex UB8 3PH, U.K. A Numerical Method for the Computation of Faber Polynomials for Starlike Domains N. Papamichael *, Maria Joana Soares † and N.S. Stylianopoulos * Abstract We describe a simple numerical process (based on the Theodorsen method for conformal mapping) for computing approximations to Faber polynomials for starlike domains.

IMA Journal of Numerical Analysis, Vol Issue 2, AprilPages – View article; A numerical method for the computation of Faber polynomials for starlike domains.

PAPAMICHAEL, M. SOARES, N. STYLIANOPOULOS. IMA Journal of Numerical Analysis, Volume Spurious solutions of numerical methods for initial value. We describe a simple numerical process (based on the Theodorsen method for conformal mapping) for computing approximations to Faber polynomials for starlike domains Topics: Faber polynomials, conformal mapping, starlike domains, Theodorsen method.

A numerical method for the computation of Faber polynomials for starlike domains, J. Numer. Anal., 13,(joint with N. Papamichael and N. Stylianopoulos) An O(h6) cubic cpline interpolation procedure for harmonic functions, Num.

Meth. MATHEMATICS OF COMPUTATION VOL NUMBER APRILPAGES Computation of Faber Series With Application to Numerical Polynomial Approximation in the Complex Plane By S. Ellacott* Abstract. Kövari and Pommerenke [19], and Elliott [8], have shown that the truncated Faber.

JOURNALOF COMPUTATIONAL AND APPLIED MATHEMATICS ELSEVIER Journal of Computational and Applied Mathematics 54 () The Faber polynomials for m-fold symmetric domains Matthew He Department of Mathematics, Nova University, College Avenue, Ft.

Lauderdale, FLUnited States Received 25 September ; revised 15 February Abstract The Faber polynomials for a region of the complex plane are of interest as a basis for polynomial approximations Cited by: 8.

A numerical method for the computation of Faber polynomials for starlike domains, (with N. Papamichael and M.J. Soares), I.M.A. Numer. Anal. 13 () pp. A domain decomposition method for approximating the conformal modules of long quadrilaterals, (with cael), Numer.

with Nasser, we presented a numerical method for computing lemniscatic maps. Both the analytic results from [41] and the numerical method from [32] will be used in Sections 4 and 5 below. In [46] Walsh used Theorem for proving the existence of a direct general-ization of the (classical) Faber polynomials to sets Ewith several components.

Abstract. Faber polynomials corresponding to rational exterior mapping functions of degree.m;m ¡1/are studied. It is shown that these polynomials always satisfy an.m C1/-term recurrence.

For the special casem D2, it is shown that the Faber polynomials can be expressed in terms of the classical Chebyshev polynomials of the ﬁrst kind. These polynomials are of interest in providing near-optimal polynomial approximations in a variety of contexts, including the construction of semiiterative methods for linear equations.

The relevant conformal map for an annular sector, with, is derived here and a recurrence relation is established for the coefficients. We study the Faber polynomials Fn(z) generated by a circular lune symmetric about both axes with vertices at the points z = ±α (0 Cited by: 9.

• A numerical method for the computation of Faber polynomials for starlike domains, J. Numer. Anal., 13,(joint with N. Papamichael and N. Stylianopoulos) • An O(h6) cubic cpline interpolation procedure for harmonic functions, Num. Meth. Faber polynomials and Faber series expansions have proven useful on many occasions, see e.g.

the introduction in [1] for a large number of classical applications, as well as in the more recent literature, for example for the computation of matrix functions f(A) (cf.

[21]).Cited by: 2. Bounds for the Coefficient of Faber Polynomial of Meromorphic Starlike and Convex Functions by Oh Sang Kwon 1, Shahid Khan 2, Young Jae Sim 1,* and Saqib Hussain 3 1Author: Oh Sang Kwon, Shahid Khan, Young Jae Sim, Saqib Hussain. intensively studied, and several numerical methods for the computation of these maps have been proposed.

Slit domains are considered, e.g., in [1,6, 9,30–33], circular domains in [7,28,34], and Schwarz–Christoﬀel maps for polygonal domains in [4,5,7,8,10–12]. In this article we consider the numerical computation of the conformalCited by: 8.

PAPAMICHAEL of University of Cyprus, Nicosia | Read 68 publications | Contact N. PAPAMICHAEL A numerical method for the computation of Faber polynomials for starlike domains.

Article. The generalizations of Faber polynomials for disconnected domains are Schmeisser’s book (Analytic theory of polynomials, vol a numerical method for the computation of the conformal. The authors present a novel numerical method for the computation of the greatest common divisor (GCD) of an m -set of polynomials of R [ s ], P m,d, of maximal degree d.

Corpus ID: The construction of Chebyshev approximations in the complex plane @inproceedings{ElliottTheCO, title={The construction of Chebyshev approximations in the complex plane}, author={Graham Hallett Elliott}, year={} }.

THE LANCZOS T-METHOD AND THE FABER POLYNOMIALS The v-Method The T-method, introduced by Lanczos in [5], is designed to construct approximate polyno- mial solutions for linear differential equations with polynomial by: 7.In contrast, the T-method which employs the numerical Faber polynomial coefficients tabulated by Coleman and Smith [5,6] will be referred to as the numerical T-method.

Thus the results and conclusions reported in [1,2] were obtained from the numerical by: 5.Complementing our recent work on subspace wavepacket propagation [Chem. Phys.

Lett. () ], we introduce a Lanczos-based implementation of the Faber polynomial .