Results 101 to 110 of about 254 (139)

Laguerre method to solve parton evolution equations

AIP Conference Proceedings, 2011
The DGLAP evolution equations for non‐singlet sector of parton density is solved in x‐space based on Laguerre polynomial expansion. High numerical accuracy is achieved by expanding over a set of approximately 30 polynomials. The result of evolved parton densities to high energy scales are in good agreement with phenomenological GRV model.
A. Mirjalili, M. M. Yazdanpanah, H. R. Sharifinejad   +2 more
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The Laguerre pseudospectral method for the radial Schrödinger equation

Applied Numerical Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alıcı, H., Taşeli, H.
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Numerical viscoelastic modelling by the spectral Laguerre method

Geophysical Prospecting, 2003
Seismic wave propagation in a viscoelastic media can be described by a system of integro‐differential equations. The solution of such equations requires special methods when using finite‐difference techniques in the time domain. In the frequency domain, the integral terms are represented by complex elastic parameters.
B.G. Mikhailenko, A.A. Mikhailov, G.V. Reshetova   +2 more
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Spectral Laguerre Method for Viscoelastic Seismic Modeling

2003
The paper presents an efficient algorithm, based on the spectral Laguerre transform to the problem of seismic wave propagation in the heterogeneous viscoelastic medium.
Boris Mikhailenko, Alexander Mikhailov, Galina Reshetova   +2 more
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Gauss-Laguerre-Hermite method of keypoint extraction

Pattern Recognition and Image Analysis, 2011
Keypoint detection and the descriptor construction method based on multiscale expansions of Gauss-Laguerre circular harmonic functions is considered. An efficient acceleration procedure is introduced. The procedure is based on the interconnection between the system of Gauss-Laguerre circular harmonic functions and the system of 2D Hermite functions ...
D. V. Sorokin, A. S. Krylov
openaire   +1 more source

Adaptive Laguerre-Gaussian variant of the Gaussian beam expansion method

Journal of the Optical Society of America A, 2009
A variant of the Gaussian beam expansion method consists in expanding the Bessel function J0 appearing in the Fresnel-Kirchhoff integral into a finite sum of complex Gaussian functions to derive an analytical expression for a Laguerre-Gaussian beam diffracted through a hard-edge aperture.
Cagniot, Emmanuel, Fromager, Michael, Aït Ameur, Kamel   +2 more
openaire   +3 more sources

Forward seismic modeling by the spectral laguerre method

SEG Technical Program Expanded Abstracts 1998, 1998
Summary The paper presents some efficient algorithms based on the spectral Laguerre approximations of temporal derivatives. The key to the efficiency of these algorithms is to construct new trial functions, which lead to the systems with sparse matrices.
openaire   +1 more source

The Laguerre method for solving integro-differential equations

Journal of Computational Physics, 1985
Integro-differential equations in the general form (1) \(dF(x,t)/dt=P(x)\otimes\) F(x,t) are considered, where the convolution \(\otimes\) is defined by P(x)\(\otimes\) \(F(x,t)=\int^{1}_{x}P(x/y)(F(y)/y)dy\), and x, t are independent variables. The Laguerre method for solving the equations (1) is implemented. This method is compared with other methods,
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Interval Root-finding Methods of Laguerre’s Type*

2003
In this paper, several algorithms of Laguerre’s type for the inclusion of simple complex zeros of a polynomial are presented. These methods are realized in complex circular arithmetic and have the convergence order > 4. The proposed algorithms possess a great computational efficiency since the acceleration of the convergence is attained with few ...
L. D. Petković, M. S. Petković, D. Živković   +2 more
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Laguerre spectral method with different basis functions

2015
Abstract. In this paper a model has been solved using Laguerre spectral method with two different basis functions. Unlike classical method, all the boundary conditions will be satisfied using linear combination of Laguerre functions as basis functions. Numerical results show that using a new basis has less error and also leads to three diagonal matrix ...
BADERAN, Ali, DARVISHI, Hadi, MOHAMMAD NEZHAD KIASARY, Morteza   +2 more
openaire   +1 more source