Results 11 to 20 of about 829 (116)
On osculatory interpolation by trigonometric polynomials
International Journal of Mathematics and Mathematical Sciences, 1979 A short and simple proof is given that osculatory interpolation by trigonometric polynomials is always possible.
D. J. Newman, L. A. Rubel
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Journal of Nigerian Society of Physical Sciences, 2022 This paper considered the formulation of continuous third derivative trigonometrically fitted method for the solution of oscillatory first order initial value problems using the technique of interpolation and collocation of the approximate solution by ...
M. Kida +3 more
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Machines, 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
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About Nodal Systems for Lagrange Interpolation on the Circle
Journal 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
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PLoS 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
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Undamped Free Vibration Analysis of Functionally Graded Beams: A Dynamic Finite Element Approach
Applied 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
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Trigonometric Sums via Lagrange Interpolation
AxiomsBy means of the Lagrange interpolation, we derive two trigonometric identities that are utilized to evaluate, in closed forms, eight classes of power sums of trigonometric functions over equally distributed angles around the unit circle.
Marta Na Chen +2 more
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Monotone Data Visualization Using Rational Trigonometric Spline Interpolation
The 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
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A new interpolation method based on satellite physical character in using IGS precise ephemeris
Geodesy 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
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Alexandria Engineering Journal, 2023 This study proposes novel methods for preserving the shape of positive and range-restricted data using a quintic trigonometric Bézier curve with two shape parameters.
Salwa Syazwani Mahzir +1 more
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