LAGRANGE BASES FOR THE FOURIER, GENERALIZED FOURIER AND RICCATI-BESSEL GRIDS

被引：5

作者：

BAYE, D

机构：

[1] Physique Nuclékire Thébrique El Physique Mathématique, Université Libre de Bruxelles, Campus Plaine, 8-1050 Bruuels, Belgium

来源：

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS | 1994年 / 27卷 / 09期

关键词：

D O I：

10.1088/0953-4075/27/9/001

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Lagrange bases provide a variational foundation to recently proposed grid methods. Lagrange functions are indefinitely derivable orthonormal functions which vanish at all mesh points but one. These natural interpolation functions are exactly known in closed form for the Fourier and generalized Fourier grids. Approximate but accurate Lagrange functions are introduced for the Riccati-Bessel grid.

引用

页码：L187 / L191

页数：5

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