Title :
Simple algorithms for tracing solution curves
Author :
Yamamura, Kiyotaka
Author_Institution :
Dept. of Comput. Sci., Gunma Univ., Japan
fDate :
8/1/1993 12:00:00 AM
Abstract :
Presents some simple and practical algorithms for tracing implicitly defined solution curves. These algorithms use hyperspheres instead of hyperplanes that are used in the typical predictor-corrector algorithms. Effective techniques for preventing the “reversion” phenomenon of the curve tracing are also proposed. The proposed algorithms are geometrically clear and can be easily programmed
Keywords :
curve fitting; nonlinear network analysis; curve tracing; geometrically clear algorithms; hyperspheres; implicitly defined curves; nonlinear networks; reversion phenomenon; solution curves; Active filters; Circuit noise; Circuit theory; Frequency; Joining processes; Noise level; Nonlinear equations; Space technology; Transfer functions; Voltage;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on