We give an overview of the numerical solution of the initial value differential-algebraic
equation (DAB) from the underlying theory, through both the development of numerical
techniques and software and a survey of the major areas of application, to the implementation
of available software codes in the solution of DABs arising in applications. The
experimental part serves to demonstrate the need for specific DAB, rather than simply
ordinary differential equation (ODE), methods and the special considerations requited for
the successful numerical solution of DAEs, as well.as verifying predictions made in the
theory. It is hoped that '.his dissertation can be used as a reference by those working in
areas of application, or at least as a pointer to the relevant literature. / GR 2016
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/21337 |
| Date | January 2016 |
| Creators | Aspoas, Michael A |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | application/pdf |
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