A Birkhoff interpolation problem and application

被引：18

作者：

Costabile, Francesco A. ^{[1
]}

Longo, Elisabetta ^{[1
]}

机构：

[1] Univ Calabria, Dipartimento Matemat, I-87036 Arcavacata Di Rende, CS, Italy

来源：

CALCOLO | 2010年 / 47卷 / 01期

关键词：

Birkhoff; Interpolation; Boundary value problem; Collocation method; Quadrature; BOUNDARY-VALUE-PROBLEMS;

D O I：

10.1007/s10092-009-0014-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Birkhoff interpolation problem is studied. The explicit solution and estimation of remainder is given. The cases of equidistant and Chebyshev nodes are considered. This problem is of interest in collocation methods of boundary value problem (Costabile and Napoli in Far East J. Appl. Math. 25(3):289-305, 2006; Costabile and Longo in Applied and Industrial Mathematics in Italy III, 2009, in press). In addition an application to quadrature is given.

引用

页码：49 / 63

页数：15