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

共 12 条

[1] METHOD OF CHASING FOR MULTIPOINT BOUNDARY-VALUE PROBLEMS [J].

AGARWAL, RP ;

GUPTA, RC .

APPLIED MATHEMATICS AND COMPUTATION, 1985, 17 (01) :37-43

[2]

COSTABILE FA, 2006, APPL MATH, V25, P289

[3]

COSTABILE FA, 2009, APPL IND IN PRESS

[4]

Davis PJ, 1975, INTERPOLATION APPROX

[5] Approximate solution of multipoint boundary value problems for linear differential equations by polynomial functions [J].

Groza, Ghiocel ;

Pop, Nicolae .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2008, 14 (12) :1289-1309

[6]

Jones GD, 2007, DYNAM SYST APPL, V16, P709

[7]

Lorentz G., 1983, BIRKHOFF INTERPOLATI

[8]

Lorentz G., 1993, Constructive Approximation, Polynomials and Splines Approximation

[9]

Mastroianni G, 2008, SPRINGER MONOGR MATH, P1

[10]

ROFMAN E, 1964, RENDICONTI ACCCADE 8, V37

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