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January 24, 2010 | History

Neumaier's method for the solution of initial value problems for stiff ordinary differential equations 1 edition

Neumaier's method for the solution of initial value problems for stiff ...
Annie Hsiao Chen Yuk

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Neumaier's method for the solution of initial value problems for stiff ordinary differential equations.

Published 2005 .
Written in English.

About the Book

Compared with standard numerical methods for initial value problems (IVPs) for ordinary differential equations (ODEs), validated methods not only compute a numerical solution to a problem, but also generate a guaranteed bound on the global error associated with the numerical solution. There have been significant developments in the field of validated numerical methods of IVPs over the past few decades. However, none of the validated methods developed to date are suitable for stiff IVPs for ODEs.This thesis investigates the potential of Neumaier's validated method for stiff IVPs for ODES. We show that Neumaier's result is a special case of Dahlquist's result. Our findings show that this method has promise as an effective validated method for stiff IVPs for ODES, for problems where there is no wrapping effect.

Edition Notes

Source: Masters Abstracts International, Volume: 44-02, page: 0950.

Thesis (M.Sc.)--University of Toronto, 2005.

Electronic version licensed for access by U. of T. users.

GERSTEIN MICROTEXT copy on microfiche (1 microfiche).

The Physical Object

Pagination
57 leaves.
Number of pages
57

ID Numbers

Open Library
OL19216621M
ISBN 10
0494071982

History Created December 11, 2009 · 2 revisions Download catalog record: RDF / JSON

January 24, 2010 Edited by WorkBot add more information to works
December 11, 2009 Created by WorkBot add works page