In this paper all four discussed interpolation
methods for subclasses of Kriging are analysed and compared to optimise the better prediction method for dataset in hand.
The Circular Interpolation
. Let point [P.sub.i]([x.sub.i], [y.sub.i]) and [P.sub.i+1]([x.sub.i+1], [y.sub.i+1]) be the current and next interpolation
point on the saddle weld and the angle of the x-axis, respectively; [[theta].sub.i] and [[theta].sub.i+1] be the angles between the two points for the [DELTA][theta], [[theta].sub.i+1] = [[theta].sub.i] + [DELTA][theta], and the coordinates of the [P.sub.i] point are
For preserving mass, we define a particular parabolic interpolation
distribution by the Piecewise Parabolic Method (PPM) .
 Wikipedia, 2017, Bilinear Interpolation
. https://en.wikipedia .org/wiki/Bilinear.interpolation.
Finally, the conclusions of this interpolation
are in Section 5.
For each block, we replace the two-node Lagrange and Hermite interpolations
, with the P-node ones (see (5) and (9)).
As shown in Figure 5(a), the nearest interpolation
method achieves the higher spatial resolution than the other two interpolation
The more the accuracy in the interpolation
fitting is required, the more the terms that the polynomial must include are, and the bigger the differences of using [mathematical expression not reproducible] and [mathematical expression not reproducible] become.
The main contributions of the paper are dealing with presentation the method that connects such problems as: interpolation
, extrapolation, modeling, numerical methods and probabilistic methods.
, and smoothing of stationary time series, with engineering applications.
We also perform the implementation of IDW interpolation
algorithm by exploring one of the latest features of CUDA architecture, the Dynamic Parallelism (CDP) on a single GPU.
Hewitson and Crane (2005) used conditional interpolation
method for phase estimation as a function of the synoptic state in sub-tropical climate.