Published 1997
| Version public
Book Section - Chapter
Convergence and stability in the numerical approximation of dynamical systems
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Abstract
In this article we give an overview of the application of theories from dynamical systems to the analysis of numerical methods for initial-value problems. We start by describing the classical viewpoints of numerical analysis and of dynamical systems and then indicate how the two viewpoints can be merged to provide a framework for both the interpretation of data obtained from numerical simulations and the design of efficient numerical methods. This is done in Section 2.
Additional Information
© 1997 Oxford University Press. The author is grateful to the participants of the Geiranger, Norway "ODE to NODE" workshop of June 1995, where a preliminary version of this material was discussed and subsequently improved, and to Tony Humphries who made several valuable suggestions. The figures are taken from [13] and used with the permission of Cambridge University Press. This work was supported by the Office of Naval Research, grant number N00014-92-J-1876, and by the National Science Foundation, grant number DMS-9201727.Additional details
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- 78173
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- CaltechAUTHORS:20170613-141546199
Funding
- Office of Naval Research (ONR)
- N00014-92-J-1876
- NSF
- DMS-9201727
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2017-06-13Created from EPrint's datestamp field
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2019-10-03Created from EPrint's last_modified field
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- Other Numbering System Name
- Andrew Stuart
- Other Numbering System Identifier
- C6