NDLI: The Cutting Circle Method and Romberg Algorithm

Content Provider	IEEE Xplore Digital Library
Author	Feng Tianxiang
Copyright Year	2013
Description	Author affiliation: Dept. of Basic Courses, Dongguan Polytech., Dongguan, China (Feng Tianxiang)
Abstract	Using the cutting circle method to calculate the value of π was firstly proposed by the Chinese mathematician Liu Hui in Three Kingdoms Era, around the third century AD. Two hundred years later, the Northern and Southern mathematician Zu got a comparative accurate approximation of π by using this method. This paper analyzed Liu Hui's cutting circle method and pointed out that it is essentially a combination of the cutting circle method and an acceleration technology. And this method can deal with several rough initial data to achieve a good acceleration effect after appropriately adjust the combination coefficients. Finally, the Romberg algorithm is used to combine with Liu Hui's cutting circle method to calculate the value of π, and find that only four initial data can be calculated to obtain a relatively accurate approximation of π.
Sponsorship	Leshan Normal Univ.
Starting Page	368
Ending Page	371
File Size	404739
Page Count	4
File Format	PDF
e-ISBN	9781479925490
DOI	10.1109/CIS.2013.84
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-12-14
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	π cutting circle method combination of acceleration technology Security Romberg algorithm Computational intelligence
Content Type	Text
Resource Type	Article

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