DocumentCode
1502470
Title
The use of extrapolation for the problem of computing accurate bifurcation values of periodic responses
Author
Yamamura, Kiyotaka ; Horiuchi, Kazuo
Author_Institution
Dept. of Comput. Sci., Gunma Univ., Kiryu, Japan
Volume
36
Issue
4
fYear
1989
fDate
4/1/1989 12:00:00 AM
Firstpage
628
Lastpage
631
Abstract
The application of Richardson extrapolation to the problem of computing accurate bifurcation values of periodic responses is examined. It is shown that the numerical solutions computed by H. Kawakami´s algorithm (see ibid., vol.CAS-31, no.3, p.248-260, 1984) have asymptotic error expansions if the trapezoidal rule is used for numerical integrations. Therefore, Richardson´s extrapolation can be used to get high accuracy with relatively few computations. The effectiveness of this approach is also verified by a numerical example of Duffing´s equation
Keywords
extrapolation; integration; numerical methods; Duffing´s equation; Kawakami´s algorithm; Richardson extrapolation; accuracy; asymptotic error expansions; bifurcation values; extrapolation; periodic responses; trapezoidal rule; Bifurcation; Circuits and systems; Classification algorithms; Computational efficiency; Convolution; Electronic circuits; Extrapolation; Geophysics computing; Systolic arrays; Target recognition;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/31.92896
Filename
92896
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