Piecewise Bivariate Hermite Interpolations for Large Sets of Scattered Data
The requirements for interpolation of scattered data are high accuracy and high efficiency. In this paper, a piecewise bivariate Hermite interpolant satisfying these requirements is proposed.
Renzhong Feng, Yanan Zhang
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A class of quintic Hermite interpolation curve and the free parameters selection
The classical C2 quintic Hermite interpolation curve not only needs the positions and derivatives but also needs the second-order derivatives as input. For most applications, one has to estimate the second-order derivatives in advance.
Juncheng LI
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Survey of Hermite Interpolating Polynomials for the Solution of Differential Equations
With progress on both the theoretical and the computational fronts, the use of Hermite interpolation for mathematical modeling has become an established tool in applied science.
Archna Kumari, Vijay K. Kukreja
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Hermite spline interpolents ― New methods for constructing and compressing Hermite interpolants [PDF]
In this paper, we present a quite simple recursive method for the construction of classical tensor product Hermite spline interpolant of a function defined on a rectangular domain. We show that this function can be written under a recursive form and a sum of particular splines that have interesting properties.
Hamid Mraoui, Driss Sbibih
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A treecode based on barycentric Hermite interpolation for electrostatic particle interactions
A particle-cluster treecode based on barycentric Hermite interpolation is presented for fast summation of electrostatic particle interactions in 3D. The interpolation nodes are Chebyshev points of the 2nd kind in each cluster.
Krasny Robert, Wang Lei
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Convexity-Preserving Rational Cubic Zipper Fractal Interpolation Curves and Surfaces
A class of zipper fractal functions is more versatile than corresponding classes of traditional and fractal interpolants due to a binary vector called a signature.
Vijay, Arya Kumar Bedabrata Chand
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Hermite and Hermite–Fejér interpolation for Stieltjes polynomials [PDF]
Let w λ
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Solving Two-Points Singular Boundary Value Problem Using Hermite Interpolation
In this paper, we have been used the Hermite interpolation method to solve second order regular boundary value problems for singular ordinary differential equations.
Baghdad Science Journal
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G2 Hermite Interpolation by Segmented Spirals
A curve with single-signed, monotonically increasing or decreasing curvatures is referred to as a planar spiral. G2 Hermite data are spiral G2 Hermite data for which only interpolation by a spiral is possible.
Yuxuan Zhou, Yajuan Li, Chongyang Deng
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Hermite Interpolation With Error Correction
International audienceMultiplicity code decoders are based on Hermite polynomial interpolation with error correction. In order to have a unique Hermite interpolant one assumes that the field of scalars has characteristic 0 or $\geq\ell+1$, where $\ell ...
Erich L. Kaltofen +5 more
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