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A parallel algorithm for the computation of invariant tori in large-scale dissipative systems

Autor
Sanchez, J.; Net, M.
Tipus d'activitat
Article en revista
Revista
Physica. D, Nonlinear phenomena
Data de publicació
2013-06
Volum
252
Pàgina inicial
22
Pàgina final
33
DOI
https://doi.org/10.1016/j.physd.2013.02.008 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/19504 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0167278913000572 Obrir en finestra nova
Resum
A parallelizable algorithm to compute invariant tori of high-dimensional dissipative systems, obtained upon discretization of PDEs is presented. The size of the set of equations to be solved is only a small multiple of the dimension of the original system. The sequential and parallel implementations are compared with a previous method (Sánchez et al. (2010)) [11], showing that important savings in wall-clock time can be achieved. In order to test it, a thermal convection problem of a binary mix...
Citació
Sanchez, J.; Net, M. A parallel algorithm for the computation of invariant tori in large-scale dissipative systems. "Physica. D, Nonlinear phenomena", Juny 2013, vol. 252, p. 22-33.
Paraules clau
Continuation methods, Generalized Poincaré maps, Invariant tori, Newton–Krylov methods, Parallel algorithms, Variational equations
Grup de recerca
DF - Dinàmica de Fluids: formació d'estructures i aplicacions geofísiques

Participants