Results 171 to 180 of about 294,528 (197)

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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Generation of Multivariate Hermite Interpolating Polynomials

, 2005
Generation of Multivariate Hermite Interpolating Polynomials advances the study of approximate solutions to partial differential equations by presenting a novel approach that employs Hermite interpolating polynomials and bysupplying algorithms useful in ...
Tavares, Santiago Alves
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Generalized Refinable Function Vectors with Hermite Interpolating Property

Applied Mechanics and Materials, 2011
Wavelet analysis has many applications in scientific areas such as computer graphics, image processing, numerical algorithms and signal denoising. In general, a wavelet is derived from a refinable function vector via a multiresolution analysis.
Li Bo Cheng
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Hermite interpolation with trigonometric polynomials

BIT, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Computation of the differentiation matrix for the Hermite interpolating polynomials

Journal of Mathematical Sciences, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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Sparse Polynomial Hermite Interpolation

Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation, 2022
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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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Lagrange interpolation with constraints on the zeros of Hermite polynomials

2011
We investigate the uniform convergence of Lagrange interpolation at the zeros of Hermite polynomials in the presence of constraints. We show that by a simple procedure it is always possible to transform the matrices of these zeros into matrices such that the corresponding Lagrange interpolating polynomial with respect to the given constraints well ...
M. R. CAPOBIANCO, CRISCUOLO, GIULIANA
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