Modified Equations.
In: Numerical Methods for Ordinary Differential Equations (9780857291479); 2010, p177-193, 17p
Buch
Zugriff:
Thus far the emphasis in this book has been focused firmly on the solutions of IVPs and how well these are approximated by a variety of numerical methods. This attention is now shifted to the numerical method (primarily LMMs) and we ask whether the numerically computed values might be closer to the solution of a modified differential equation than they are to the solution of the original differential equation. At first sight this may appear to introduce an unnecessary level of complication, but we will see in this chapter (as well as those that follow on geometric integration) that constructing a new ODE that very accurately approximates the numerical method can provide important insights about our computations. [ABSTRACT FROM AUTHOR]
Copyright of Numerical Methods for Ordinary Differential Equations (9780857291479) is the property of Springer Nature / Books and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Titel: |
Modified Equations.
|
---|---|
Autor/in / Beteiligte Person: | Griffiths, David F. ; Higham, Desmond J. |
Quelle: | Numerical Methods for Ordinary Differential Equations (9780857291479); 2010, p177-193, 17p |
Veröffentlichung: | 2010 |
Medientyp: | Buch |
ISBN: | 978-0-85729-147-9 (print) |
DOI: | 10.1007/978-0-85729-148-6_13 |
Sonstiges: |
|