The main goal of this example is to emphasize the exceptional numerical stability of the Hermite interpolation formulas
of Section 3.
The distinctive features of our framework consist in (i) using the boundary element method with real values; (ii) applying the successive approximation method for solving the integral equation of the velocity potential; and (iii) using the Lagrange interpolation formula
through five points for calculating the derivatives of the velocity potential.
Obviously, the interpolation formulas
coefficients must be independent from F ([omega]), which is the quantity to find [2, 5].
Between these fixed points, standard platinum resistance thermometers (SPRTs) are used as interpolating devices with a prescribed interpolation formula
1) and the Newton's forward interpolation formula
for a real analytic P(x) for these derivations, where P(x) is given by