In this paper we introduce a new class of explicit one-step methods of order 2 that can be used for solving stiff problems. This class constitutes a generalization of the two-stage explicit Runge- Kutta methods, with the property of having an A-stability region that varies during the integration in accordance with the accuracy requirements. Some numerical experiments on classical stiff problems are presented.
A class of explicit one-step methods of order 2 for stiff problems / Novati, Paolo. - In: JOURNAL OF NUMERICAL MATHEMATICS. - ISSN 1570-2820. - STAMPA. - 13:(2005), pp. 219-236. [10.1515/156939505774286120]
A class of explicit one-step methods of order 2 for stiff problems
Paolo Novati
2005-01-01
Abstract
In this paper we introduce a new class of explicit one-step methods of order 2 that can be used for solving stiff problems. This class constitutes a generalization of the two-stage explicit Runge- Kutta methods, with the property of having an A-stability region that varies during the integration in accordance with the accuracy requirements. Some numerical experiments on classical stiff problems are presented.File in questo prodotto:
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