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
fDate :
4/1/1989 12:00:00 AM
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;
Journal_Title :
Circuits and Systems, IEEE Transactions on
