...CESAM

This acronym means: Code d'Evolution Stellaire Adaptatif et Modulaire.

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...suitable

Recall that, due to the mixing of chemicals a discontinuity may occur in the density profile at the limit of convective cores.

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...problem

Formally, with diffusion and turbulent mixing, the integro-differential character disappears, the problem is only differential.

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...variables

If negative values of luminosity are expected, the eulerian set of variables given Sect. 3.2.6 (click here), ought to be employed.

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...found

For models of interiors of giant planets (Guillot & Morel 1995) another form for Q is used.

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...written

As pointed out by Strittmatter et al. (1970), Reiter et al. (1995), this formulation is correct while, in Eq. (4.27) of Kippenhahn & Weigert (1991), the changes of chemicals are ignored.

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...orders

According to standard definitions the local error is O^p+1.

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...improved

Only where the true solution is sufficiently smooth.

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...model

This calibrated solar model was evolved, using standard accuracy (sa), from PMS to present solar age with no chemical at equilibrium, a reconstructed atmosphere and an under-shooting of 0.2 pressure scale height.

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...has

This property only results from the fact that the last row of A and the vector b are identical, e.g. all the Lobatto IIIC formulae are established in such a way.

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...scheme

due to the stiffness, the Lipschitz constants are large and predictor-corrector methods are useless.

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...formalism

In fact it is a "Tau" method since the 425#425 do not fit the boundary conditions.

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...[1,n],

of course, the abscissa are not necessarily equidistant integers.

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