نتایج جستجو برای: second kind chebyshev wavelet

تعداد نتایج: 736624  

2016
D. Crivelli M. Eaton M. Pearson K. Holford R. Pullin

Design/methodology/approach – Two tests were performed, one on Acoustic Emission artificial signals generated on a CFRP plate and one on an Acousto Ultrasonic setup used for actively detecting impact damage. The waveforms were represented using a data reduction technique based on the Daubechies wavelet and an image processing technique using Chebyshev moments approximation, to get 32 descriptor...

2015
G. Brands C. B. Roellgen K. U. Vogel

Permutable Chebyshev polynomials (T polynomials) defined over the field of real numbers are suitable for creating a Diffie-Hellman-like key exchange algorithm that is able to withstand attacks using quantum computers. The algorithm takes advantage of the commutative properties of Chebyshev polynomials of the first kind. We show how T polynomial values can be computed faster and how the underlyi...

1998
HEPING MA

In this paper, a Chebyshev–Legendre spectral viscosity (CLSV) method is developed for nonlinear conservation laws with initial and boundary conditions. The boundary conditions are dealt with by a penalty method. The viscosity is put only on the high modes, so accuracy may be recovered by postprocessing the CLSV approximation. It is proved that the bounded solution of the CLSV method converges t...

Journal: :Natural Science 2012

2009
Lior Shamir Nikita Orlov Ilya G. Goldberg

We studied the informativeness of image features extracted from different lengths of image transform chains for the purpose of image classification. Image features were extracted from the raw images, image transforms, and second, third and fourth order of compound image transforms. The transforms used in this study are Fourier, Chebyshev, and Wavelet (symlet 5) transform. Experimental results s...

Journal: :Discrete Mathematics 2014

2015
Mohammad A. AlQudah

Orthogonal polynomials have very useful properties in the mathematical problems, so recent years have seen a great deal in the field of approximation theory using orthogonal polynomials. In this paper, we characterize a sequence of the generalized Chebyshev-type polynomials of the first kind { T (M,N) n (x) } n∈N∪{0} , which are orthogonal with respect to the measure √ 1−x2 π dx + Mδ−1 + Nδ1, w...

2002
Hideaki Kaneko Richard D. Noren

The purpose of this paper is two-fold. First, we develop the Petrov-Galerkin method and the iterated Petrov-Galerkin method for a class of nonlinear Hammerstein equations. Alpert [1] established a class of wavelet basis and applied it to approximate solutions of the Fredholm second kind integral equations by the Galerkin method. He then demonstrated an advantage of a wavelet basis application t...

Journal: :Applied Mathematics and Computation 2006
Khosrow Maleknejad M. Yousefi

In this paper, We use the wavelet bases of Hermite cubic splines to solve the second kind integral equations xCi) -11 K(t,s)x(s)ds = y(t), t E [0,1]. A pair of wavelets are constructed on the basis of Hermite cubic spline~: This wavelets are in C1 and supported on [0,2]. Moreover, one wavelet is symmetric, and the other is anti-symmetric. This spline wavelets are then adapted to the interval [0...

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