Single-iteration approach to backward differentiation formulas
IEE Proceedings G Circuits Devices and Systems, 132, (6), . (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.
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