On the multiple shooting continuation of periodic orbits by Newton-Krylov methods

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Title:	On the multiple shooting continuation of periodic orbits by Newton-Krylov methods
Author:	Sánchez Umbría, Juan; Net Marcé, Marta
Other authors:	Universitat Politècnica de Catalunya. Departament de Física Aplicada; Universitat Politècnica de Catalunya. DF - Dinàmica No Lineal de Fluids
Abstract:	The application of the multiple shooting method to the continuation of periodic orbits in large-scale dissipative systems is analyzed. A preconditioner for the linear systems which appear in the application of Newton’s method is presented. It is based on the knowledge of invariant subspaces of the Jacobians at nearby solutions. The possibility of speeding up the process by using parallelism is studied for the thermal convection of a binary mixture of fluids in a rectangular domain, with positive results.
Subject(s):	-Àrees temàtiques de la UPC::Física -Continuation methods -Mètodes de continuació
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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