Economical Runge-Kutta methods
For the numerical solution of the Cauchy problem, this paper presents an elegant idea of saving one function call for a special class of Runge-Kutt methods by using information from the previous step. The stability analysis and practical error estimation by embedded formulas of order (3,2), (5,4)...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sapienza Università Editrice
1995-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1995(1)/57-77.pdf |
| Summary: | For the numerical solution of the Cauchy problem, this paper presents
an elegant idea of saving one function call for a special class of Runge-Kutt methods
by using information from the previous step. The stability analysis and practical error
estimation by embedded formulas of order (3,2), (5,4) are studied. Numerical examples
are, also, considered, which proved that these methods are in competition with the best
methods now exist.
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| ISSN: | 1120-7183 2532-3350 |