Banks, S.P. and Moser, A. (1993) On Wavelet Representations of Differential Equations. Research Report. ACSE Research Report 482 . Department of Automatic Control and Systems Engineering
Abstract
In this paper we consider the wavelet expansion of the solutions of nonlinear differential equations. We can see that using Lie series, an infinite dimensional linear system is obtained and we prove an existence result for periodic orbits. Moreover, the numerical computation of solutions is generalized from Euler's method to general wavelet expansions.
Metadata
Item Type: | Monograph |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances. |
Keywords: | Wavelets, Periodic orbits, Euler's method. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) > ACSE Research Reports |
Depositing User: | MRS ALISON THERESA BARNETT |
Date Deposited: | 24 Jun 2014 11:33 |
Last Modified: | 31 Oct 2016 06:46 |
Status: | Published |
Publisher: | Department of Automatic Control and Systems Engineering |
Series Name: | ACSE Research Report 482 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:79499 |