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In this paper we use the Arakawa Jacobian method  and the fourth-order essentially non-oscillatory (ENO-4) scheme of Osher and Shu  to solve the equatorial beta-plane barotropic equations. The Arakawa Jacobian scheme is a second order centred finite differences scheme that conserves energy and enstrophy. The fourth-order essentially non-oscillatory… (More)
Group valued edge labellings λ of a Bratteli diagram B give rise to a skew-product Bratteli diagram B(λ) on which the group acts. The quotient by the group action of the associated dynamics can be a nontrivial extension of the dynamics of B. We exhibit a Bratteli diagram for this quotient and construct a mor-phism to B with unique path lifting property.… (More)
We investigate, from a numerical point of view, the coefficients identification problem, for the Elrod–Adams model of cavitation, in the frame of the hydrodynamic lubrication. We relax the control problem, and propose a relaxed augmented Lagrangian algorithm, with a given loop length. Some numerical results are given.