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Single-iteration approach to backward differentiation formulas

Single-iteration approach to backward differentiation formulas
Single-iteration approach to backward differentiation formulas
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.
0143-7089
249-254
Kazmierski, T.J.
a97d7958-40c3-413f-924d-84545216092a
Kazmierski, T.J.
a97d7958-40c3-413f-924d-84545216092a

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

Record type: Article

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.

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More information

Published date: December 1985
Organisations: Electronics & Computer Science
Learn more about Electronics & Computer Science research

Identifiers

Local EPrints ID: 256530
URI: http://eprints.soton.ac.uk/id/eprint/256530
DOI: doi:10.1049/ip-g-1:19850051
ISSN: 0143-7089
PURE UUID: 511978c4-6a9c-45bb-8cdd-33222c9ff8ec

Catalogue record

Date deposited: 26 Apr 2002
Last modified: 14 Mar 2024 05:44

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Contributors

Author: T.J. Kazmierski

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