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

Autor
Sanchez, J.; Net, M.
Tipus d'activitat
Article en revista
Revista
International journal of bifurcation and chaos
Data de publicació
2010-01
Volum
20
Número
1
Pàgina inicial
43
Pàgina final
61
DOI
https://doi.org/10.1142/S0218127410025399 Obrir en finestra nova
URL
http://www.worldscientific.com/doi/abs/10.1142/S0218127410025399 Obrir en finestra nova
Resum
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...
Paraules clau
Continuation Methods, Periodic Orbits, Poincaré Maps, Multiple Shooting, Parallelism, Variational Equations, Krylov Methods, Periodic Schur Decomposition, Krylov–schur Method
Grup de recerca
DF - Dinàmica No Lineal de Fluids

Participants