New Iterative Methods for Interpolation, Numerical Differentiation and Numerical Integration
arXiv:0809.16431 citationsh-index: 3
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This work offers incremental improvements to numerical analysis techniques for practitioners needing flexible accuracy in data processing.
The paper introduces new iterative methods for interpolation, numerical differentiation, and numerical integration with arbitrary order of accuracy for evenly or unevenly spaced data, providing basic computer algorithms.
Through introducing a new iterative formula for divided differnce using Neville's and Aitken's algorithms,we study new iterative methods for interpolation,numerical differentiation and numerical integration formulas with arbitrary order of accuracy for evanly or unevanly spaced data. Basic computer algorithms for new methods are given