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Numerical questions in ODE boundary value problems

Osborne, Michael

Description

Classical considerations of stability in ODE initial and boundary problems are mirrored by corresponding properties (stiff stability, di- stability) in problem discretizations. However, computational cate- gories are not precise, and qualitative descriptors such as of moderate size cannot be avoided where size varies with the sensitivity of the Newton iteration in nonlinear problems, for example. Sensitive New- ton iterations require close enough initial estimates. The main tool for providing...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/76203
Source: Australian and New Zealand Industrial and Applied Mathematics
DOI: 10.0000/anziamj.v48i0.79

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