Results 61 to 70 of about 5,337 (195)
ON THE MODIFIED HERMITE INTERPOLATION POLYNOMIALS
Demonstratio Mathematica, 1982 The author defines \(Q_ n(f,x)\) to be the polynomial of degree \(\leq 2n- 1\) associated with the function \(f(x)\in C^ 1[-1,1]\) satisfying the following interpolatory conditions: (i) \(Q_ n(x_{\nu n},f)=f_{\nu n}\), (ii) \(Q'\!_ n(x_{\nu n},f)=(f_{\nu n}-f_{\nu +1,n})/(x_{\nu n}-x_{\nu +1,n})=\chi_{\nu n}=f'(\xi_{\nu n}) x_{\nu n}
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On interpolation polynomials of the Hermite-Fejér type II [PDF]
Bulletin of the Australian Mathematical Society, 1981 Given a ŕeal-valued function f on [−1, 1], n ∈ N, and the following partition of [−1, 1[:there exists a unique polynomial R4n−1(f; x) of degree not exceeding 4n − 1 such thatand, for j = 1, 2 and 3,
Goodenough, S. J., Mills, T. M.
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Journal of Sleep Research, Volume 34, Issue 2, April 2025.Summary The autonomic nervous system regulates cardiovascular activity during sleep, likely impacting cardiovascular health. Aging, a primary cardiovascular risk factor, is associated with cardiac autonomic disbalance and diminished sleep slow waves. Therefore, slow waves may be linked to aging, autonomic activity and cardiovascular health. However, it
Stephanie Huwiler +5 more
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Improved orders of approximation derived from interpolatory cubic splines [PDF]
, 1978 Let s be a cubic spline, with equally spaced knots on [a,b], interpolating a given function y at the knots. The parameters which determine s are used to construct a piecewise defined polynomial P of degree four.
Behforooz, GH, Papamichael, N
core
Likelihood Estimation for Stochastic Differential Equations with Mixed Effects
Scandinavian Journal of Statistics, EarlyView.ABSTRACT Stochastic differential equations provide a powerful tool for modelling dynamic phenomena affected by random noise. When time series are observed for several experimental units, it is often the case that some of the parameters vary between the individual experimental units.
Fernando Baltazar‐Larios +2 more
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Interpolation of equation-of-state data
, 2019 Aims. We use Hermite splines to interpolate pressure and its derivatives simultaneously, thereby preserving mathematical relations between the derivatives. The method therefore guarantees that thermodynamic identities are obeyed even between mesh points.
Ayukov, S. V. +4 more
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Bivariate Hermite–Birkhoff polynomial interpolation with asymptotic conditions
Journal of Computational and Applied Mathematics, 2000 The authors consider an enlarged interpolation problem by bivariate polynomials on a Newton basis. It consists to add some asymptotic conditions to the usual interpolation conditions; these are conditions on the values of the polynomials and on their directional derivatives at prescribed points.
Carnicer, J.M., Gasca, M.
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HERMITE INTERPOLATION WITH DICKSON POLYNOMIALS AND BERNSTEIN BASIS POLYNOMIALS
Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler, 2023 In this manuscript we introduce three new algorithms: (1) An algorithm to recover an unknown polynomial in terms of Dickson polynomials of the first kind, (2) an algorithm to recover an unknown polynomial in terms Dickson polynomials of the second kind, (3) an algorithm to recover an unknown polynomial in terms of Bernstein basis polynomials, from ...
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 5, Page 557-577, May 2026.This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime +3 more
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RRT-A*-BT approach for optimal collision-free path planning for mobile robots
Algerian Journal of Signals and Systems, 2019 This paper deals with the problem of optimal collision-free path planning for mobile robots evolving inside indoor cluttered environments. Addressing this challenge, a hybrid approach is proposed combining Rapidly-exploring Random Trees (RRT), A-Star (A*
Abdelfetah Hentout +3 more
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