The approximation of the effective Hamiltonian is a challenging problem with a strong impact on many applications e.g. to the study of dynamical systems, weak KAM theory, homogenization, mass transfer problems. In this paper we present a numerical approximation of the variational approach proposed by C. Evans in [4], discuss its consistency and give some hints regarding its implementation. Finally, we compare this approach to the numerical implementation of the min-max formula proposed by Gomes and Oberman [6].

On a Variational Approximation of the Effective Hamiltonian / Falcone, Maurizio; Rorro, Marco. - (2008), pp. 719-726. ((Intervento presentato al convegno 7th European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2007) tenutosi a Graz, AUSTRIA nel SEP 10-14, 2007. [10.1007/978-3-540-69777-0_86].

On a Variational Approximation of the Effective Hamiltonian

FALCONE, Maurizio;RORRO, MARCO
2008

Abstract

The approximation of the effective Hamiltonian is a challenging problem with a strong impact on many applications e.g. to the study of dynamical systems, weak KAM theory, homogenization, mass transfer problems. In this paper we present a numerical approximation of the variational approach proposed by C. Evans in [4], discuss its consistency and give some hints regarding its implementation. Finally, we compare this approach to the numerical implementation of the min-max formula proposed by Gomes and Oberman [6].
2008
Numerical Mathematics and Advanced Applications
9783540697763
9783540697770
02 Pubblicazione su volume::02a Capitolo o Articolo
On a Variational Approximation of the Effective Hamiltonian / Falcone, Maurizio; Rorro, Marco. - (2008), pp. 719-726. ((Intervento presentato al convegno 7th European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2007) tenutosi a Graz, AUSTRIA nel SEP 10-14, 2007. [10.1007/978-3-540-69777-0_86].
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/360586
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 7
social impact