Multistep Methods for Conservative Problems |
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Authors: | Felice Iavernaro Francesca Mazzia Donato Trigiante |
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Institution: | (1) Dipartimento di Matematica, Università di Bari, Via E. Orabona 4, I-70125 Bari, Italy;(2) Dipartimento di Energetica, Università di Firenze, via C. Lombroso 6/17, I-50134 Firenze, Italy |
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Abstract: | We discuss the use of linear multistep methods for the solution of conservative (in particular Hamiltonian) problems. Despite the lack of good results concerning their behaviour, linear multistep methods have been satisfactorily used by researchers in applicative fields. We try to elucidate the requirements that a linear multistep method should fulfill in order to be suitable for the integration of such problems, relating our analysis to their use as boundary value methods. We collect a number of results obtained for the linear autonomous case and also consider some numerical tests on the Kepler problem.Work supported by GNCS and MIUR. |
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Keywords: | Primary 65P10 Secondary 65L05 65L10 |
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