Results 101 to 110 of about 255 (142)

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
openaire   +1 more source

On the Laguerre Method for Numerically Inverting Laplace Transforms

INFORMS Journal on Computing, 1996
The Laguerre method for numerically inverting Laplace transforms is an old established method based on the 1935 Tricomi–Widder theorem, which shows (under suitable regularity conditions) that the desired function can be represented as a weighted sum of Laguerre functions, where the weights are coefficients of a generating function constructed from the
Abate, Joseph, Choudhury, Gagan L., Whitt, Ward   +2 more
openaire   +2 more sources

Accurate and practical method for characterizing Laguerre–Gaussian modes

Applied Optics, 2014
We propose a new parameter, Q(p,l)(2), based on cross-sectional intensity distribution to distinguish Laguerre-Gaussian (LG) beams. Theoretically, Q(p,l)(2) shows an approximately linear dependence on the topological index in higher LG modes. Compared with the similar parameter Q(p,l) proposed by Long et al. [Opt.
Zhenlin, Xu, Tao, Zhu, Di, Cheng, Junling, Long, Ziwei, Huang, Ruifeng, Liu, Pei, Zhang, Hong, Gao, Fuli, Li   +8 more
openaire   +2 more sources

Spherical Harmonic–Generalized Laguerre Spectral Method for Exterior Problems

Journal of Scientific Computing, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Xiaoyong, Guo, Benyu
openaire   +2 more sources

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
openaire   +1 more source

Finite element time domain method using Laguerre polynomials

IEEE MTT-S International Microwave Symposium Digest, 2003, 2003
In this work, we present a numerical method to obtain an unconditionally stable solution for the finite element method in time domain (FETD) for two-dimensional TE/sub z/ case. Our method does not utilize the customary marching-on in time solution method often used to solve a hyperbolic partial differential equation.
null Young-seek Chung, T.K. Sarkar, S. Llorento-Romano, M. Salarzar-Palma   +3 more
openaire   +1 more source

Spherical Harmonic–Generalized Laguerre Function Mixed Spectral Method

AIP Conference Proceedings, 2011
In this paper, we investigate mixed spherical harmonic function‐generalized Laguerre function spectral method. We introduce a framework for error analysis of nonlinear problems. We establish some approximation results, which play an important role in error analysis of unbounded domain problems.
Zhang Xiao yong, Sui Jiang Hua, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Zacharias Anastassi   +5 more
openaire   +1 more source

Composite Laguerre-Legendre spectral method for exterior problems

Advances in Computational Mathematics, 2008
The authors introduce a Laguerre-Legendre spectral scheme along with a domain decomposition method in order to solve some 2D linear exterior initial/boundary value problems. They provide details for this Laguerre-Legendre spectral scheme and show that in the case of two model problems their strategy enjoys the spectral accuracy.
Guo, Ben-yu, Wang, Tian-jun
openaire   +1 more source

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
openaire   +1 more source

Generating functions involving Hermite–Laguerre polynomials using operational methods

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source