A New Algebra Interpolation Polynomial without Runge Phenomenon

You Jun Chen; Hong Ying He; Shi Lu Zhang

doi:10.4028/www.scientific.net/AMM.303-306.1085

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 303-306A New Algebra Interpolation Polynomial without...

A New Algebra Interpolation Polynomial without Runge Phenomenon

Abstract:

Proposed a new algebra interpolation polynomial with preferable stability, analyzed the related properties as well as stability and computational complexity, etc. Proved the new algebra interpolation polynomial can approximate any continuous functions, and it can be used to calculate the high order derivative without Runge phenomenon.

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Periodical:

Applied Mechanics and Materials (Volumes 303-306)

Pages:

1085-1088

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.303-306.1085

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Online since:

February 2013

Authors:

You Jun Chen, Hong Ying He, Shi Lu Zhang

Keywords:

Algebra Interpolation Polynomial, Complexity, Runge Phenomenon, Stability

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References

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