Results 21 to 30 of about 935 (177)

Rotation-Angle Solution and Singularity Handling of Five-Axis Machine Tools for Dual NURBS Interpolation

open access: yesMachines, 2023
Dual NURBS interpolation has been proven an essential technique for high-speed precision machining of complex surfaces. The solution of rotation angles and their derivatives is the basis of kinematic transformation and feedrate optimization in dual NURBS
Pengpeng Sun   +4 more
doaj   +1 more source

Trigonometric interpolation

open access: yesJournal of Mathematical Analysis and Applications, 1969
Journal of Mathematical Analysis and Applications 28 (1969) 652-659. doi:10.1016/0022-247X(69)90018-3 ; Received by publisher: 0000-01-01 ; Harvest Date: 2016-01-04 12:20:16 ; DOI:10.1016/0022-247X(69)90018-3 ; Page Range: 652 ...
Department of Mathematics, University of Florida, Gainesville, Florida USA ( host institution )   +1 more
openaire   +3 more sources

About Nodal Systems for Lagrange Interpolation on the Circle

open access: yesJournal of Applied Mathematics, 2012
We study the convergence of the Laurent polynomials of Lagrange interpolation on the unit circle for continuous functions satisfying a condition about their modulus of continuity.
E. Berriochoa   +2 more
doaj   +1 more source

Trigonometric Interpolation and Quadrature in Perturbed Points [PDF]

open access: yesSIAM Journal on Numerical Analysis, 2017
The trigonometric interpolants to a periodic function $f$ in equispaced points converge if $f$ is Dini-continuous, and the associated quadrature formula, the trapezoidal rule, converges if $f$ is continuous. What if the points are perturbed? With equispaced grid spacing $h$, let each point be perturbed by an arbitrary amount $\le αh$, where $α\in ...
Austin, A, Trefethen, L
openaire   +4 more sources

Undamped Free Vibration Analysis of Functionally Graded Beams: A Dynamic Finite Element Approach

open access: yesApplied Mechanics, 2022
A Dynamic Finite Element (DFE) method for coupled axial–flexural undamped free vibration analysis of functionally graded beams is developed and subsequently used to investigate the system’s natural frequencies and mode shapes. The formulation is based on
Aaron Gee, Seyed M. Hashemi
doaj   +1 more source

Monotone Data Visualization Using Rational Trigonometric Spline Interpolation

open access: yesThe Scientific World Journal, 2014
Rational cubic and bicubic trigonometric schemes are developed to conserve monotonicity of curve and surface data, respectively. The rational cubic function has four parameters in each subinterval, while the rational bicubic partially blended function ...
Farheen Ibraheem   +2 more
doaj   +1 more source

C1 triangular Coons surface construction and image interpolation based on new Side-Side and Side-Vertex interpolation operators.

open access: yesPLoS ONE, 2020
In this paper, a new class of rational quadratic/linear trigonometric Hermite functions with two shape parameters is proposed. Based on these Hermite functions, new improved first class of Side-Side (FCSS), second class of Side-Side (SCSS), first class ...
Mingshan Qiu, Yuanpeng Zhu
doaj   +1 more source

A new interpolation method based on satellite physical character in using IGS precise ephemeris

open access: yesGeodesy and Geodynamics, 2014
Due to the deficiency of sliding Lagrange polynomial interpolation, the author proposes a new interpolation method, which considers the physical character of satellite movement in coordinate transformation and reasonable selection of interpolation ...
Liu Weiping, Hao Jinming
doaj   +1 more source

An efficient homogenization method using the trigonometric interpolation and the fast fourier transform

open access: yesVietnam Journal of Mechanics, 2011
This study focuses on formulation of the Augmented Lagrangian and application of the Uzawa's algorithm to solve the homogenization problem of microscopic periodic media as in composites.
Ngoc-Trung Nguyen   +2 more
doaj   +1 more source

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