On a Variational Approximation of the Effective Hamiltonian

M. Falcone () and M. Rorro ()
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M. Falcone: SAPIENZA – Università di Roma, Dipartimento di Matematica
M. Rorro: SAPIENZA – Università di Roma, Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 719-726 from Springer

Abstract: 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].

Date: 2008
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DOI: 10.1007/978-3-540-69777-0_86

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