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 ...

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; ...

Perform open-loop optimization of continuous control pulses using fast, high-order timestepping based on Hermite interpolation to find optimal control pulses for implementing quantum gates.

SIAM Journal on Numerical Analysis, Vol. 37, No. 3 (Feb. - Mar., 2000), pp. 772-798 (27 pages) A Newton-type approach is used to deal with bivariate polynomial Hermite interpolation problems when the ...

Abstract: Dispersion entropy (DE) and its multiscale version multiscale DE (MDE) are effective measures of time series complexity. DE, however, ignores skewness information, which can lead to ...

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 ...

This is a preview. Log in through your library . Abstract Consider, as nodes for polynomial interpolation, the $n$th roots of unity. For a sufficiently smooth ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...