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EnglishA very general class of Runge-Kutta methods for Volterra integral equations of the second kind is analyzed. Order and stage order conditions are derived for methods of order p and stage order q=p up to the order four. We also investigate stability properties of these methods with respect to the basic and the convolution test equations. The systematic search for A- and V0-stable methods is described and examples of highly stable methods are presented up to the order p=4 and stage order q=4.
| Titolo: | Construction of highly stable Volterra Runge-Kutta methods |
| Autori: | |
| Data di pubblicazione: | 2013 |
| Abstract: | A very general class of Runge-Kutta methods for Volterra integral equations of the second kind is analyzed. Order and stage order conditions are derived for methods of order p and stage order q=p up to the order four. We also investigate stability properties of these methods with respect to the basic and the convolution test equations. The systematic search for A- and V0-stable methods is described and examples of highly stable methods are presented up to the order p=4 and stage order q=4. |
| Handle: | http://hdl.handle.net/11386/4521658 |
| Appare nelle tipologie: | 4.2 Abstract |
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