They were previously used by statisticians for testing structural shifts in various data sets; afterwards, other researchers also started using splines
in order to test time series of profits, interest rates, economic growth rates, exports and imports which usually contain structural shifts.
It is well known that the cubic spline
function has advantages of good convergence, approximation, stability, and second-order smoothness.
and variational methods", John- Wiley, New York (1975).
The new technique was based on the fact of employing polynomial cubic spline
method (PCSM) along with the Adomian decomposition method (ADM).
3) Cut to size decorative splines
, add adhesive to each side and place in slots.
Selection of locations of knots for linear splines
in random regression test day models.
Bezier's and de Casteljau's splines
are pure mathematical objects.
Let's consider that values of a derivative F are described by the local cubic Hermitian spline
In Section 4 we will recall the wall-crossing formula for splines
that can be used to prove Proposition 1.
To understand how they work, consider conventional ball splines
Using trial function (4) and cubic splines
(3), the values of U, U', U" at the knots are determined in terms of the element parameters [[delta].
The evaluation of the signal reconstruction with the different splines
including the Akima spline
is performed for the data sampled with two different LCS algorithms.
Other interpolation methods include Newton series, cubic splines
, Neville's schema, and many others.
Implicit-finite difference schemes together with splitting up technique was set up using interpolation cubic splines
to obtain the numerical solution .
have been introduced by Mangasarian and Schumaker  in connection with certain studies of minimization problems involving difference.