Results 31 to 40 of about 294,528 (197)
ON HERMITE INTERPOLATION AND DIVIDED DIFFERENCES [PDF]
Surveys in Mathematics and its Applications, 2020 This paper is a survey of topics related to Hermite interpolation. In the first part we present the standard analysis of the Hermite interpolation problem. Existence, uniqueness and error formula are included.
François Dubeau
doaj
Interpolation Hermite Polynomials For Finite Element Method [PDF]
EPJ Web of Conferences, 2018 We describe a new algorithm for analytic calculation of high-order Hermite interpolation polynomials of the simplex and give their classification. A typical example of triangle element, to be built in high accuracy finite element schemes, is given.
Gusev A. +7 more
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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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On the Leibniz formula for divided differences
Journal of Numerical Analysis and Approximation Theory, 2006 We give an identity for the Hermite-Lagrange interpolating polynomial and a short proof of Leibniz-type formula for divided differences in case of coalescing knots.
Mircea Ivan
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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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Design of Rifling Profile to Increase Lifespan of the Gun Barrel [PDF]
한국정밀공학회지, 2018 The rifling is applied to most of the conventional gun barrels to stabilize the projectile using the spin. The rifling force (torque) acting on the projectile inside the barrel also wears the rifling itself and shortens the gun lifespan.
Seil An
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Erratum: On a Hermite interpolation by polynomials of two variables [PDF]
SIAM Journal on Numerical Analysis, 2007 We correct several errors in [SIAM J. Numer. Anal., 39 (2002), pp. 1780-1793] caused by a formula wrongly copied from the literature.
Borislav Bojanov, Yuan Xu
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Bicubic splines and biquartic polynomials
Open Computer Science, 2016 The paper proposes a new efficient approach to computation of interpolating spline surfaces. The generalization of an unexpected property, noticed while approximating polynomials of degree four by cubic ones, confirmed that a similar interrelation ...
Mino Lukáš +2 more
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Complex Versus Parsimonious Site‐Based Stochastic Ground Motion Models: Which One Is Better?
Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT Stochastic ground motion models (GMMs) provide a probabilistic representation of seismic input and are increasingly important for uncertainty quantification (UQ) in earthquake engineering. This study focuses on site‐based stochastic GMMs, which learn the statistical features of selected datasets of seismic records and generate statistically ...
Maijia Su +2 more
wiley +1 more source
Parallel Vectors Extraction using Bézier Clipping
Computer Graphics Forum, EarlyView.Abstract In this paper, we propose a novel local feature extraction algorithm for the parallel vectors (PV) operator. Our method is based on Bézier clipping, which is a bracketing‐based root finding method that is commonly‐used in computer‐aided geometric design.
Nico Daßler, Tobias Günther
wiley +1 more source