An O(h6) cubic spline interpolating procedure for harmonic functions

An O(h6) method for the interpolation of harmonic functions in rectangular do- mains is described and analysed. The method is based on an earlier cubic spline tech- nique [7], and makes use of recent results concerning the a posteriori correction of interpolatory cubic splines

A posteriori corrections for cubic and quintic interpolating splines at equally-spaced knots

The method proposed recently by Lucas [13], for the a posteriori correction of odd degree interpolating periodic splines is extended to non-periodic cubic and quintic splines

A class of cubic and quintic spline modified collocation methods for the solution of two-point boundary value problems

This paper is concerned with the study of a class of methods for solving second and fourth-order two-point boundary-value problems. The methods under consideration are modifications of the standard cubic and quintic spline collocation techniques, and are derived by making use of recent results con- cerning the a posteriori correction of cubic and quintic interpolating spline

Combining exclusive semi-leptonic and hadronic B decays to measure |V_ub|

The Cabibbo-Kobayashi-Maskawa matrix element |V_ub| can be extracted from the rate for the semi-leptonic decay B -> pi + l + antineutrino_l, with little theoretical uncertainty, provided the hadronic form factor for the B -> pi transition can be measured from some other B decay. In here, we suggest using the decay B -> pi J\psi. This is a color suppressed decay, and it cannot be properly described within the usual factorization approximation; we use instead a simple and very general phenomenological model for the b d J\psi vertex. In order to relate the hadronic form factors in the B -> pi J\psi and B -> pi + l + antineutrino_l decays, we use form factor relations that hold for heavy-to-light transitions at large recoil.Comment: Latex, 7 pages, no figure

A numerical method for the computation of faber polynomials for starlike domains

We describe a simple numerical process (based on the Theodorsen method for conformal mapping ) for computing approximations to Faber polynomials for starlike domains