I noticed that performing Hermite interpolation at sample point can give slightly different results (~1e-8) which should not happen. import org.hipparchus.analysis.interpolation.HermiteInterpolator; ...

Abstract: Hermite splines are commonly used for interpolating data when samples of the derivative are available, in a scheme called Hermite interpolation. Assuming a suitable statistical model, we ...

Abstract: A computational method of the formal linearization for time-varying nonlinear systems by using the cubic Hermite interpolation is proposed. We introduce a linearizing function that consists ...

Polyanalytic function theory extends the classical theory of holomorphic functions by encompassing functions that satisfy higher‐order generalisations of the Cauchy–Riemann equations. This broader ...

We study mean-value interpolation of Hermite type by a polynomial of degree m in z−1 and n in z. We show that the interpolation problem corresponding to the integrals over the segments of the form ...

Mathematics of Computation, Vol. 64, No. 211 (Jul., 1995), pp. 929-941 (13 pages) Various triangular finite C 0-elements of Hermite type satisfying the maximum-angle condition are presented and ...