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- W2370723257 abstract "Polynomial interpolation technique is a common approximation method in approximation theory, which is widely used in numerical analysis, signal processing, and so on. Traditional polynomial interpolation algorithms are mainly developed by combining numerical analysis with experimental results, lacking of unified theoretical description and regular solution. A uniform theoretical framework for polynomial interpolation algorithm based on osculating polynomial approximation theory was proposed here. Existing interpolation algorithms could be analyzed and new algorithms could be developed under this framework, which consists of the number of sample points, osculating order for sample points and derivative approximation rules. The presentation of existing mainstream interpolation algorithms was analyzed in proposed framework, and the general process for developing new algorithms was shown by using a four-point and two-order osculating polynomial interpolation.Theoretical analysis and numerical experiments show that almost all mainstream polynomial interpolation algorithms belong to osculating polynomial interpolation, and their effects are strongly related to the number of sampling points, order of osculating,and derivative approximation rules." @default.
- W2370723257 created "2016-06-24" @default.
- W2370723257 creator A5047080217 @default.
- W2370723257 date "2015-01-01" @default.
- W2370723257 modified "2023-09-23" @default.
- W2370723257 title "Polynomial interpolation algorithm framework based on osculating polynomial approximation" @default.
- W2370723257 hasPublicationYear "2015" @default.
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