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)...

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Bibliographic Details
Main Authors: F. COSTABILE, R. CAIRA, M.I. GUALTIERI
Format: Article
Language:English
Published: Sapienza Università Editrice 1995-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1995(1)/57-77.pdf