Results 11 to 20 of about 53,695 (215)
Numerical solution of sixth-order boundary-value problems using Legendre wavelet collocation method
Results in Physics, 2018 An efficient method is proposed to approximate sixth order boundary value problems. The proposed method is based on Legendre wavelet in which Legendre polynomial is used.
Muhammad Sohaib +3 more
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Criterion for polynomial solutions to a class of linear differential equation of second order [PDF]
, 2006 We consider the differential equations y''=\lambda_0(x)y'+s_0(x)y, where \lambda_0(x), s_0(x) are C^{\infty}-functions. We prove (i) if the differential equation, has a polynomial solution of degree n >0, then \delta_n=\lambda_n s_{n-1}-\lambda_{n-1}s_n ...
Al-Salam W A +15 more
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Advances in Meteorology, 2017 Chebyshev and Legendre polynomial expansion is used to reconstruct the Henyey-Greenstein phase function and the phase functions of spherical and nonspherical particles.
Feng Zhang +4 more
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Genetic evaluation of European quails by random regression models
Revista Brasileira de Zootecnia, 2012 The objective of this study was to compare different random regression models, defined from different classes of heterogeneity of variance combined with different Legendre polynomial orders for the estimate of (co)variance of quails.
Flaviana Miranda Gonçalves +5 more
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On computation of Hough functions [PDF]
Geoscientific Model Development, 2016 Hough functions are the eigenfunctions of the Laplace tidal equation governing fluid motion on a rotating sphere with a resting basic state. Several numerical methods have been used in the past.
H. Wang, J. P. Boyd, R. A. Akmaev
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A fast, simple, and stable Chebyshev-Legendre transform using an asymptotic formula [PDF]
, 2013 A fast, simple, and numerically stable transform for converting between Legendre and Chebyshev coefficients of a degree $N$ polynomial in $O(N(\log N)^{2}/ \log \log N)$ operations is derived.
Hale, Nicholas, Townsend, Alex
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Legendre polynomial order selection in projection pursuit density estimation
Lietuvos Matematikos Rinkinys, 2013 Projection pursuit method and its application to probability density estimation is discussed. Method proposed by J.H. Friedman, based on projection density estimation using orthogonal Legendre polynomials, is analysed.
Mindaugas Kavaliauskas
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The finite Fourier transform of classical polynomials [PDF]
, 2014 The finite Fourier transform of a family of orthogonal polynomials $A_{n}(x)$, is the usual transform of the polynomial extended by $0$ outside their natural domain.
Dixit, Atul +3 more
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Tribology Online, 2006 Many investigators have frequently assumed polynomial temperature profiles across the film thickness in the mathematical modeling of lubricating films in the hydrodynamic bearings in order to make computations simpler.
R. K. Sharma, R. K. Pandey
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Advances in Mechanical Engineering, 2019 Each guided elastic wave mode is composed of propagating and non-propagating branches. Non-propagating branches associated with complex wavenumbers are substantially different from the propagating ones.
Xiaoming Zhang +3 more
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