A multiquadric quasi-interpolation with linear reproducing and preserving monotonicity

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:231

Article

Chen, Ronghua^1,2  Han, Xuli²  Wu, Zongmin³ 

[1] Hunan Univ Sci & Technol, Sch Math & Computat Sci, Xiangtan 411201, Hunan, Peoples R China

[2] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China

[3] Fudan Univ, Sch Math, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

关键词: Radial basis function;    Multiquadric quasi-interpolation;    Shape parameter;    Linear reproducing;    Preserving monotonicity;   

DOI  :  10.1016/j.cam.2009.03.014

来源: Elsevier

【 摘 要 】

In this paper, we develop a multiquadric (MQ) quasi-interpolation which has the properties of linear reproducing and preserving monotonicity. Moreover, we give its approximation error by theoretic analysis and illustrate the effect by means of two examples. One of the examples is to approach the linear combination of two sine functions with different frequencies. Another is to approximate a function with discontinuity. From the results of the examples, we believe that the present MQ quasi-interpolation is feasible. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free