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BLOCK BASED newton-LIKE BLENDING OSCULATORY RATIONAL interpolation

Analysis in Theory and Applications 2010年第3期26卷 201-214页

作者： Shuo Tang Le Zou Chensheng Li Hefei University of Technology China Hefei University China China

With newton＇s interpolating formula, we construct a kind of block based newton-like blending osculatory *** interpolation provides us many flexible interpolation schemes for choices which include the expansive newton＇s polynomial inter- polation as its special case. A bivariate analogy is also discussed and numerical examples are given to show the effectiveness of the interpolation.

关键词： newton interpolation osculatory interpolation block based

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ON THE DIVIDED DIFFERENCE FORM OF FAA DI BRUNO＇S FORMULA

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Journal of Computational Mathematics 2006年第4期24卷 553-560页

作者： Xing-hua Wang He-yu Wang Department of Mathematics Zhejiang University Hangzhou 310028 China Computer Science School Zhejiang University Hangzhou 310027 China Mathematics Department of Hong Kong Baptist University Kowloon Hong Kong

The n-divided difference of the composite function h ：= f o g of functions f, g at a group of nodes t0,t1,…,tn is shown by the combinations of divided differences of f at the group of nodes g（t0）,g（t1）,…,g（tm） and divided differences of g at several partial group of nodes t0,t1,…,tn, where m = 1,2,…,n. Especially, when the given group of nodes are equal to each other completely, it will lead to Faà di Bruno＇s formula of higher derivatives of function h.

关键词： Divided difference newton interpolation Composite function FAA di Bruno's formula Bell polynomial

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Application of Polynomial interpolation in the Chinese Remainder Problem

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Journal of Mathematical Research with Applications 2017年第1期37卷 90-96页

作者： Tianxiao HE Scott MACDONALD Peter J.-S.SHIUE Department of Mathematics Illinois Wesleyan University Math Learning Center University of Nevada Las Vegas Department of Mathematical Sciences University of Nevada

This paper presents an application of polynomial interpolation in the solution of the Chinese Remainder Problem for bother integers and polynomials.

关键词： Chinese Remainder problem Chinese Remainder theorem Lagrange interpolation newton interpolation

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interpolation Method Research and Precision Analysis of GPS Satellite Position

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Journal of Systems Science and Information 2018年第3期9卷 277-288页

作者： Jianmin WANG Yabo LI Huizhong ZHU Tianming MA School of Geomatics Liaoning Technical University

According to the precise ephemeris has only provided satellite position that is discrete not any time,so propose that make use of interpolation method to calculate satellite position at any *** essay take advantage of IGS precise ephemeris data to calculate satellite position at some time by using Lagrange interpolation,newton interpolation,Hermite interpolation,Cubic spline interpolation method,Chebyshev fitting method respectively,which has a deeply analysis in the precision of five interpolations. The results show that the precision of Cubic spline interpolation method is the worst,the precision of Chebyshev fitting is better than Hermite interpolation method. Lagrange interpolation and newton interpolation are better than other methods in precision. newton interpolation method has the advantages of high speed and high precision. Therefore,newton interpolation method has a certain scientific significance and practical value to get the position of the satellite quickly and accurately.

关键词： precise ephemeris satellite position lagrange interpolation newton interpolation hermite interpolation cubic spline interpolation Chebyshev fitting

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