Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-05-01

Journal: APPLIED MATHEMATICAL MODELLING

Included Journals: EI、SCIE、Scopus

Volume: 35

Issue: 5

Page Number: 2185-2195

ISSN: 0307-904X

Key Words: Radial basis function; Inverse multiquadric; Multiquadric quasi-interpolation; High accuracy

Abstract: 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.