Estamos realizando la búsqueda. Por favor, espere...
1526
37
165
17514
3235
2404
316
Abstract: Asymptotic approximations to the zeros of Hermite and Laguerre polynomials are given, together with methods for obtaining the coefficients in the expansions. These approximations can be used as a stand-alone method of computation of Gaussian quadratures for high enough degrees, with Gaussian weights computed from asymptotic approximations for the orthogonal polynomials. We provide numerical evidence showing that for degrees greater than 100, the asymptotic methods are enough for a double precision accuracy computation (15-16 digits) of the nodes and weights of the Gauss-Hermite and Gauss-Laguerre quadratures.
Fuente: Studies in Applied Mathematics 140:298-332
Editorial: Blackwell Publishing Ltd
Fecha de publicación: 01/01/2018
Nº de páginas: 34
Tipo de publicación: Artículo de Revista
DOI: 10.1111/sapm.12201
ISSN: 0022-2526,1467-9590
Proyecto español: MTM2015-67142-P
Url de la publicación: https://onlinelibrary.wiley.com/doi/abs/10.1111/sapm.12201
Consultar en UCrea Leer publicación
AMPARO GIL GOMEZ
JOSE JAVIER SEGURA SALA
TEMME, N.M.
Volver