Results 11 to 20 of about 400,197 (197)

A generalization of Hermite interpolation

International Journal of Mathematics and Mathematical Sciences, 1997
We introduce a new interpolation at Chebyshev nodes.
Xie-Hua Sun, Tingfan Xie
doaj   +2 more sources

Interpolation remainder theory from taylor expansions with non-rectangular domains of influence [PDF]

, 1972
Sobolev norm error bounds are derived for interpolation remainders on triangles using two types of Taylor expansion. These bounds are applied to the finite element analysis of Poisson's equation on a triangulation of a polygonal ...
Gregory, JA, Barnhill, RE
core   +6 more sources

Piecewise rational quadratic interpolation to monotonic data [PDF]

, 1981
An explicit representation of a piecewise rational quadratic function is developed which produces a monotonic interpolant to given monotonic data. The explicit representation means that the piecewise monotonic interpolant is easily constructed and ...
Gregory, JA, Delbourgo, R
core   +7 more sources

Multi-Effective Collocation Methods for Solving the Volterra Integral Equation with Highly Oscillatory Fourier Kernels

Mathematics, 2023
In this paper, we focus on the numerical solution of the second kind of Volterra integral equation with a highly oscillatory Fourier kernel. Based on the calculation of the modified moments, we propose four collocation methods to solve the equations ...
Jianyu Wang, Chunhua Fang, Guifeng Zhang
doaj   +1 more source

An algorithm for Hermite-Birkhoff interpolation [PDF]

, 1966
summary:An algorithm for the Hermite-Birkhoff interpolation is presented, which reduces the problem to the Hermite interpolation. The missing values and derivatives are expressed by some of the given values and calculated from a system of linear ...
Fiala, Jiří, Schoenberg, I.J
core   +1 more source

Manoeuvring speed estimation of a lane-change system using geometric hermite interpolation

, 2021
Autonomous vehicles demand a continuous path to provide the passengers with physical ease and relaxation. Smooth experience in autonomous vehicles is very essential and can be accomplished by having good trajectories.
N. A. Othman, U. Reif, A. Ramli, M. Misro   +3 more
semanticscholar   +1 more source

On Hermite Interpolation [PDF]

, 2000
More general and stronger estimations of bounds for the fundamental functions of Hermite interpolation of higher order on an arbitrary system of nodes are given.
Guang Shi, Ying
core   +1 more source

A note on optimal Hermite interpolation in Sobolev spaces

Journal of Inequalities and Applications, 2022
This paper investigates the optimal Hermite interpolation of Sobolev spaces W ∞ n [ a , b ] $W_{\infty }^{n}[a,b]$ , n ∈ N $n\in \mathbb{N}$ in space L ∞ [ a , b ] $L_{\infty }[a,b]$ and weighted spaces L p , ω [ a , b ] $L_{p,\omega }[a,b]$ , 1 ≤ p < ∞ $
Guiqiao Xu, Xiaochen Yu
doaj   +1 more source

Constrained mock-Chebyshev least squares approximation for Hermite interpolation [PDF]

Numerical Algorithms
This paper addresses the challenge of function approximation using Hermite interpolation on equally spaced nodes. In this setting, standard polynomial interpolation suffers from the Runge phenomenon. To mitigate this issue, we propose an extension of the
F. Dell'Accio, Francisco Marcellán, Federico Nudo   +2 more
semanticscholar   +1 more source

Hermite Interpolation and data processing errors on Riemannian matrix manifolds [PDF]

SIAM Journal on Scientific Computing, 2019
The main contribution of this paper is twofold: On the one hand, a general framework for performing Hermite interpolation on Riemannian manifolds is presented.
Ralf Zimmermann
semanticscholar   +1 more source