Higham, D.J. (1989) Robust defect control with Runge-Kutta schemes. SIAM Journal on Numerical Analysis, 26 (5). pp. 1175-1183. ISSN 0036-1429
Full text not available in this repository. (Request a copy from the Strathclyde author)Abstract
Enright [Numerical Analysis Report 122, University of Manchester, Manchester, U.K., 1986] implements a Runge-Kutta method for solving the initial value problem using an alternative to the standard local error control scheme. The aim is to control the defect associated with a local interpolant by sampling its value at one or more fixed points within each step. However, in general, the quality of a sample point is problem-dependent and also varies from step to step. Two classes of interpolant are presented for which the asymptotic behaviour of the defect is known a priori, allowing optimal sample points to be chosen.
| Item type: | Article |
|---|---|
| ID code: | 211 |
| Keywords: | Runge-Kutta formula, defect, interpolation, numerical mathematics, Mathematics |
| Subjects: | Science > Mathematics |
| Department: | Faculty of Science > Mathematics and Statistics |
| Related URLs: | |
| Depositing user: | Ms Sarah Scott |
| Date Deposited: | 08 Mar 2006 |
| Last modified: | 12 Mar 2012 10:35 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/211 |
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