Single-iteration approach to backward differentiation formulas

Kazmierski, T.J. (1985) Single-iteration approach to backward differentiation formulas. IEE Proceedings G Circuits Devices and Systems, 132, (6), 249-254. (doi:10.1049/ip-g-1:19850051).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1049/ip-g-1:19850051
ISSNs: 0143-7089 (print)
Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science
ePrint ID: 256530
Date :
Date Event
December 1985Published
Date Deposited: 26 Apr 2002
Last Modified: 31 Mar 2016 13:57
Further Information:Google Scholar

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