Results 181 to 190 of about 736 (209)

New algorithm for computing the Hermite interpolation polynomial

Numerical Algorithms, 2017
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Abderrahim Messaoudi, Rachid Sadaka, Hassane Sadok   +2 more
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A Fractal Version of a Bivariate Hermite Polynomial Interpolation

Mediterranean Journal of Mathematics, 2021
One and two dimensional interpolation is a useful tool for many purposes, in particular when collocation methods are required for solving ordinary or partial differential equations. Hermite interpolation (or Hermite-Birkhoff, as the case may be) is particularly efficient for these applications since derivatives are also approximated. In this paper this
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Hermite interpolation with trigonometric polynomials

BIT, 1993
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Computation of the differentiation matrix for the Hermite interpolating polynomials

Journal of Mathematical Sciences, 1994
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On the derivatives of Hermite-Fejér interpolating polynomials

Acta Mathematica Hungarica, 1990
Let \(H_ n(f,x)\) denote the Hermite-Fejer interpolating polynomial of a function f for a system of nodes \(-1\leq x_ ...
Szabados, J., Varma, A. K.
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Sparse Polynomial Hermite Interpolation

Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation, 2022
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On the order of magnitude of fundamental polynomials of hermite interpolation

Acta Mathematica Hungarica, 1993
The author deals with Hermite interpolation polynomials of the form \[ H_{mn} (f,x):= \sum_{k=1}^ n \sum_{j=0}^{m-1} f^{(j)} (x_{kn}) A_{jk}(x) \] for a function \(f\) that is \(m-1\) times continuously differentiable on the interval \([-1,1]\) (\(m\) an arbitrary positive integer) and a system of arbitrary interpolation nodes \(-1\leq x_{nn}< x_{n-1,n}
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Expansions for the Fundamental Hermite Interpolation Polynomials in Terms of Chebyshev Polynomials

Ukrainian Mathematical Journal, 2001
Summary: We obtain explicit expansions of the fundamental Hermite interpolation polynomials in terms of Chebyshev polynomials in the case where the nodes considered are either zeros of the \((n+1)\)-th degree Chebyshev polynomial or extremum points of the \(n\)-th degree Chebyshev polynomial.
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Generalized Hermite-Fejér interpolation polynomials

2000
The author gives a survey of generalized Hermite-Fejér interpolation polynomials with emphasis on the Chebyshev nodes. Properties of the generalized processes are compared with those of the Lagrange and Hermite-Fejér methods, and recent results for the Lebesgue constant and Lebesgue function are discussed.
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Survey of Hermite Interpolating Polynomials for the Solution of Differential Equations

Mathematics, 2023
Archna Kumari
exaly