Results 101 to 110 of about 177,159,861 (211)

Convection in porous media and Legendre, Chebyshev Galerkin methods [PDF]

open access: yes, 2005
The subject of thermal convection in fluid and porous media is investigated, coupled with the development of efficient spectral finite element methods to improve on the more commonly used techniques for these types of problems.
Hill, Antony Α.   +2 more
core  

Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature [PDF]

open access: yes, 2002
23 pages, 1 figure.-- MSC1991 codes: Primary: 41A21, 42C05; Secondary: 30E10.MR#: MR1894475 (2002m:41021)Zbl#: Zbl 1020.41019We study the asymptotic properties of Stieltjes polynomials outside the support of the measure as well as the asymptotic ...
López Lagomasino, Guillermo   +11 more
core   +1 more source

Binomials transformation formulae for scaled Fibonacci numbers

open access: yesOpen Mathematics, 2017
The aim of the paper is to present the binomial transformation formulae of Fibonacci numbers scaled by complex multipliers. Many of these new and nontrivial relations follow from the fundamental properties of the so-called delta-Fibonacci numbers defined
Hetmaniok Edyta   +2 more
doaj   +1 more source

Approximation by Nonlinear Hermite-Fejer interpolation operators of max-product kind on Chebyshev nodes

open access: yesJournal of Numerical Analysis and Approximation Theory, 2010
The aim of this note is that by using the so-called max-product method, to associate to the Hermite-Fejer polynomials based on the Chebyshev knots of first kind, a new interpolation operator for which a Jackson-type approximation order in terms of ...
Lucian Coroianu, Sorin G. Gal
doaj   +2 more sources

Associated Matrix Polynomials with the Second Kind Chebyshev Matrix Polynomials [PDF]

open access: yes, 2019
This paper deals with the study of the associated Chebyshev matrix polynomials. Associated matrix polynomials with the Chebyshev matrix polynomials are defined here.
Metwally, M. S.   +2 more
core   +1 more source

Generalized Chebyshev Polynomials

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
Let h(x) be a non constant polynomial with rational coefficients. Our aim is to introduce the h(x)-Chebyshev polynomials of the first and second kind Tn and Un. We show that they are in a ℚ-vectorial subspace En(x) of ℚ[x] of dimension n.
Abchiche Mourad, Belbachir Hacéne
doaj   +1 more source

The Faber polynomials for annular sectors and an application to the iterative solution of linear systems of equations [PDF]

open access: yes, 1994
A conformal mapping of the exterior of the unit circle to the exterior of a region of the complex plane determines the Faber polynomials for that region.
Myers, Nicholas John, Myers, N.J
core  

Computation of Chebyshev Polynomials for Union of Intervals

open access: yes, 2019
International audienceChebyshev polynomials of the first and second kind for a set K are monic polynomials with minimal L ∞-and L 1-norm on K, respectively.
Lasserre, Jean-Bernard, Foucart, Simon
core   +1 more source

Chebyshev-Fourier Spectral Methods for Nonperiodic Boundary Value Problems

open access: yesJournal of Applied Mathematics, 2014
A new class of spectral methods for solving two-point boundary value problems for linear ordinary differential equations is presented in the paper. Although these methods are based on trigonometric functions, they can be used for solving periodic as well
Bojan Orel, Andrej Perne
doaj   +1 more source

Spectral algorithm for fractional BVPs via novel modified Chebyshev polynomials fractional derivatives

open access: yesMathematical Modelling and Analysis
This paper introduces a spectral algorithm tailored for solving fractional boundary value problems (BVPs) using the fractional derivatives of modified Chebyshev polynomials.
Mohamed Abdelhakem   +3 more
doaj   +1 more source

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