Results 31 to 40 of about 23,143 (202)
Discrete Fourier analysis with lattices on planar domains
, 2009 A discrete Fourier analysis associated with translation lattices is developed recently by the authors. It permits two lattices, one determining the integral domain and the other determining the family of exponential functions.
Li, Huiyuan, Sun, Jiachang, Xu, Yuan
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Trigonometric Interpolation and Quadrature in Perturbed Points [PDF]
SIAM 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
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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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Bivariate Lagrange interpolation at the node points of Lissajous curves - the degenerate case
, 2016 In this article, we study bivariate polynomial interpolation on the node points of degenerate Lissajous figures. These node points form Chebyshev lattices of rank $1$ and are generalizations of the well-known Padua points.
Erb, Wolfgang
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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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Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions
, 2009 Properties of the four families of recently introduced special functions of two real variables, denoted here by $E^\pm$, and $\cos^\pm$, are studied. The superscripts $^+$ and $^-$ refer to the symmetric and antisymmetric functions respectively.
Bulirsch R. +8 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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Vietnam 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
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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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