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Second derivative methods with RK stability |
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| Authors: | J.?C.?Butcher,G.?Hojjati author-information" > author-information__contact u-icon-before" > mailto:ghojjati@tabrizu.ac.ir" title=" ghojjati@tabrizu.ac.ir" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | (1) Department of Mathematics, The University of Auckland, Private Bag 92019 Auckland, New Zealand;(2) Faculty of Mathematical science, Tabriz University, Tabriz, Iran |
| Abstract: | General linear methods are extended to the case in which second derivatives, as well as first derivatives, can be calculated. Methods are constructed of third and fourth order which are A-stable, possess the Runge–Kutta stability property and have a diagonally implicit structure for efficient implementation. AMS subject classification 65L05 G. Hojjati: Corresponding author. |
| Keywords: | stiff ODEs multistep and multiderivative methods general linear methods |
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