A collocation method is proposed to approach the reduction of dissipative distributed systems through application of the methods of Inertial Manifold theory. The collocation method proposed provides a numerical framework to develop approximate inertial manifolds (AIMs) in the case of partial differential problems (e.g. reaction/diffusion models) containing non-polynomial nonlinearities. The collocation method is also the starting point for the alternative construction of AIMs by means of a renormalization approach naturally derived from the incremental unknown method developed by Temam in a finite difference framework.
Collocation methods and inertial manifold theory for the modal reduction of dissipative distributed systems / Adrover, Alessandra; G., Continillo; S., Crescitelli; Giona, Massimiliano; L., Russo. - STAMPA. - (2002), pp. 21-37. (Intervento presentato al convegno National Workshop on Nonlinear Dynamics and Control in Process Engineering tenutosi a ROME, ITALY nel JUN 28-30, 2000) [10.1007/978-88-470-2208-9_2].
Collocation methods and inertial manifold theory for the modal reduction of dissipative distributed systems
ADROVER, Alessandra;GIONA, Massimiliano;
2002
Abstract
A collocation method is proposed to approach the reduction of dissipative distributed systems through application of the methods of Inertial Manifold theory. The collocation method proposed provides a numerical framework to develop approximate inertial manifolds (AIMs) in the case of partial differential problems (e.g. reaction/diffusion models) containing non-polynomial nonlinearities. The collocation method is also the starting point for the alternative construction of AIMs by means of a renormalization approach naturally derived from the incremental unknown method developed by Temam in a finite difference framework.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
