Boundary value methods for solving differential systems
Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique42, Avenue Gaspard Coriolis
31057 Toulouse Cedex
Tel : 05 61 19 31 31 - Fax : 05 61 19 30 00
BOUNDARY VALUE METHODS FOR SOLVING DIFFERENTIAL SYSTEMS
Prof. Donato Trigiante
Dipartimento di Energetica University of Pisa,
Italy
Thursday February 12, 11.00 a.m. Parallel Algorithms Seminar CERFACS Conference Room
It is known that the class of Linear Multistep Methods (LMM) for solving numerically differential equations suffers of very serious drawbacks which bound their use. For example it is known that, when an order greater than two is required, they cannot be A-stable and symplectic. Such drawbacks disappear if the methods are used as Boundary Value Methods. We shall discuss such use of the LMMs and how it is can be derived form a more general principle of Numerical Analysis. We shall also present some implications of this approach and the applications to some particular differential problems.
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