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

Neumaier's method for the solution of initial ...
Annie Hsiao Chen Yuk, Annie Hs ...
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January 24, 2010 | History

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

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.

Publish Date
Language
English
Pages
57

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Book Details


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

Edition Identifiers

Open Library
OL19216621M
ISBN 10
0494071982

Work Identifiers

Work ID
OL12683384W

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December 11, 2009 Created by WorkBot add works page