Published January 1987
| public
Journal Article
Volterra integral equations and a new Gronwall inequality (Part I: The linear case)
- Creators
- Norbury, J.
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Stuart, A. M.
Chicago
An error occurred while generating the citation.
Abstract
We present a generalisation of the continuous Gronwall inequality and show its use in bounding solutions of discrete inequalities of a form that arise when analysing the convergence of product integration methods for Volterra integral equations. We then use these ideas to prove convergence of a numerical method which is effective in approximating Volterra integral equations of the second kind with weakly singular kernels.
Additional Information
© 1987 Royal Society of Edinburgh. MS received 8 July 1986. Revised MS received 11 February 1987. Published online: 14 November 2011. The second author is grateful to the Science and Engineering Research Council for financial support.Additional details
- Eprint ID
- 78111
- DOI
- 10.1017/S0308210500018473
- Resolver ID
- CaltechAUTHORS:20170612-131130001
- Science and Engineering Research Council (SERC)
- Created
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2017-06-12Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
- Other Numbering System Name
- Andrew Stuart
- Other Numbering System Identifier
- J1