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论文类型：期刊论文

发表时间：2011-05-01

发表刊物：APPLIED MATHEMATICAL MODELLING

收录刊物：Scopus、SCIE、EI

卷号：35

期号：5

页面范围：2185-2195

ISSN号：0307-904X

关键字：Radial basis function; Inverse multiquadric; Multiquadric quasi-interpolation; High accuracy

摘要：In this paper, we propose a new multilevel univariate multiquadric (MQ) quasi-interpolation approach with higher approximation order compared with the existing MQ quasi-interpolations. The proposed approach includes two schemes, which are based on inverse multiquadric radial basis function (IMQ-RBF) interpolation, and Wu & Schaback's MQ quasi-interpolation operator L(D). Error analysis shows that our operators produce higher accuracy. Numerical examples demonstrate that the proposed MQ quasi-interpolation schemes are valid. (c) 2010 Elsevier Inc. All rights reserved.