Results 91 to 100 of about 255 (142)

Mixed Fourier-Laguerre Spectral and Pseudospectral Methods for Exterior Problems Using Generalized Laguerre Functions

Journal of Scientific Computing, 2008
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Zhang, Rong, Wang, Zhong-Qing, Guo, Ben-Yu   +2 more
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Generalizations of Laguerre’s Method: Higher Order Methods

SIAM Journal on Numerical Analysis, 1981
Laguerre's method is an efficient and reliable method for finding zeros of polynomials and certain other functions. A new derivation and motivation of Laguerre's method is given, which allows it to be included in a class of methods as general as methods of order three or more based on direct generalized Hermite or hyperosculatory interpolation. Members
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Laguerre series direct method for variational problems

Journal of Optimization Theory and Applications, 1983
A direct method for solving variational problems via Laguerre series is presented. First, an operational matrix for the integration of Laguerre polynomials is introduced. The variational problems are reduced to the solution of algebraic equations. An illustrative example is given.
Hwang, C., Shih, Y. P.
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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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Analysis of the quasi-Laguerre method

Numerische Mathematik, 1999
The quasi-Laguerre method is an iterative process for finding real or complex roots of a polynomial \(p\). It is based on the logarithmic derivative \(q={p'\over p}\) and starts with two values \(x_0\), \(x_1\) and the logarithmic derivatives \(q_0\), \(q_1\) at \(x_0\) and \(x_1\), respectively.
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MATLAB Package for Laguerre Spectral Method

2009 11th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2009
The paper describes the MATLAB package LaguerreEig, based on Laguerre functions expansion for problems formulated on the semi-infinite interval. Applications are given for Schroedinger equations, Arrhenius integral and some linear or nonlinear differential problems.
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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
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Generalized Laguerre-Generalized Hermite Mixed Spectral Method

2010 International Conference on Computational and Information Sciences, 2010
The generalized Laguerre-generalized Hermite mixed spectral method is developed. Various orthogonal projections are investigated. Some mixed approximation results are established. As an example of their important applications, a mixed spectral scheme is proposed for two-dimensional non-isotropic heat conduction equation.
Zhang Xiao-yong, Jiang Jiao, Sui Jiang Hua   +2 more
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Modified relativistic Laguerre polynomials. Monomiality and Lie algebraic methods

Georgian Mathematical Journal, 2016
Abstract In this paper we combine the Lie algebraic methods and the monomiality principle techniques to obtain new results concerning generalized Laguerre polynomials. Also, we derive generating relations involving modified relativistic Laguerre polynomials into the context of the representation
Khan, Subuhi, Khan, Rehana
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The Laguerre Collocation Method

2014
The chapter introduces first the functional framework corresponding to the spectral collocation method based on Laguerre functions. The main advantage of these functions is the fact that they decrease smoothly to zero at infinity along with their derivatives. We speculate this behavior in imposing boundary conditions at large distances.
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