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论文类型：期刊论文

发表时间：2010-01-01

发表刊物：COMPUTERS & MATHEMATICS WITH APPLICATIONS

收录刊物：SCIE、EI

卷号：59

期号：1

页面范围：451-456

ISSN号：0898-1221

关键字：Hermite interpolating polynomials; Quasi-interpolation; Convergence rate; Multiquadrics

摘要：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.