Mr. Walker et Cf. Barenghi, ACCURATE NUMERICAL COMPUTATIONS OF TAYLOR INTEGRALS, Geophysical and astrophysical fluid dynamics, 87(3-4), 1998, pp. 173-191
The numerical evaluation of Taylor integrals in their natural geometry
of a cylinder has long been a problem when considering the dynamics o
f the Earth's dynamo, as the Earth's natural coordinate system is a sp
here. We describe an exact new method of dealing with the Taylor integ
rals while remaining in a spherical geometry. The procedure explained
in this paper is valid for a full sphere and only the axisymmetric cas
e is considered here.