Title :
Single iteration approach to backward differentiation formulas
Author :
Kazmierski, T.J. ; Nichols, K.G.
Author_Institution :
University of Southampton, Department of Electronics and Information Engineering, Southampton, UK
fDate :
12/1/1985 12:00:00 AM
Abstract :
A new technique for the solution of the stiff differential equations describing the transient behaviour of nonlinear electronic circuits is presented. This technique is based on the single Newton-Raphson iteration per one time-point strategy and variable-order backward-differentiation formulas (BDF). The cost effectiveness of the method as well as an appropriate order and step control algorithm are discussed and also the possibility of handling piecewise-linear element models is demonstrated.
Keywords :
iterative methods; nonlinear network analysis; piecewise-linear techniques; backward differentiation formulas; nonlinear electronic circuits; piecewise-linear element models; single Newton-Raphson iteration; step control algorithm; stiff differential equations; transient behaviour;
Journal_Title :
Electronic Circuits and Systems, IEE Proceedings G
DOI :
10.1049/ip-g-1:19850051
