A kind of improved univariate multiquadric quasi-interpolation operators

Authors:
Ren-Hong Wang;Min Xu;Qin Fang
Affiliations:
Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, PR China;Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, PR China;College of Information, Dalian University, Dalian 116622, PR China
Venue:
Computers & Mathematics with Applications
Year:
2010

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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.