Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1948 1(1):470-476; doi:10.1093/qjmam/1.1.470
© 1948 by Oxford University Press
This Article
Right arrow FREE Full Text (PDF) Freely available
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by DUNCAN, W. J.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

ASSESSMENT OF ERRORS IN APPROXIMATE SOLUTIONS OF DIFFERENTIAL EQUATIONS

W. J. DUNCAN

( The College of Aeronautics Cranfield )

The term assessment is applied to any process which enables us to set rigid bounds to the error or to estimate its value. It is shown that upper and lower bounds can be assigned whenever the Green's function of the problem is one-signed; this is true in many important problems. Another method is applicable to step-bystep solutions of ordinary differential equations, linear or non-linear, and depends on using the ‘index’ of the process of integration. Lastly, the error in a linear problem fan be estimated when an approximation to the Green's function is known.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.