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A comparison of numerical methods in non-linear stability analysis

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posted on 22.12.2017 by James R. Hewit
Many methods have been proposed for the stability analysis of systems described by non-linear differential equations. Of these methods, some are 'ad hoc', being applicable only to those systems for which they were developed. Others are more or less general. The increasing availability of digital computing facilities have made it desirable to develop algorithms, where possible, to allow the numerical implementation of these general methods. This report describes the development of such algorithms for a variety of methods, and a comparison of their power and applicability in different situations. [Continues.]

History

School

  • Mechanical, Electrical and Manufacturing Engineering

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© James R. Hewit

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 2.5 Generic (CC BY-NC-ND 2.5) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by-nc-nd/2.5/

Publication date

1968

Notes

A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.

Language

en

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