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Indexed by:期刊论文

Date of Publication:2010-01-01

Journal:COMPUTERS & MATHEMATICS WITH APPLICATIONS

Included Journals:SCIE、EI

Volume:59

Issue:1

Page Number:451-456

ISSN No.:0898-1221

Key Words:Hermite interpolating polynomials; Quasi-interpolation; Convergence rate; Multiquadrics

Abstract:In this paper, a kind of improved univariate multiquadric quasi-interpolation operators is proposed by using Hermite interpolating polynomials. Error analysis shows that the convergence rate of the operators depends heavily on the shape parameter c, which indicates that our operators could provide the desired smoothness and precision by choosing a suitable value of c. Numerical examples show that the operators provide a high degree of accuracy. Moreover, operators are applied to the fitting of discrete solutions of initial value problems. (C) 2009 Elsevier Ltd. All rights reserved.