RANDOM  INTERPOLATION
Lower Dimensionality
(A Sample Case, 2D)

The sample function has the analytic form:

f(x1, x2) = 41.64 + 1.22 x12 + 0.76 x22 + 8.33 x1 + 10.8 x2 + 0.64 x1x2

where   -10. < x1 < +10. and   -10. < x2 < +10.

For this sample case, we have used 12 random locations together with the associated function values to construct the interpolant. Also, delta width values of X1 and X2 are chosen to be 1.

INPUT AREA

Input Location Number (M'):

Delta width for x1 (1) :

Delta width for x2 (2) :

Location NumberInput x1Input x2Input Function
f(x1, x2)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16

Click to see the input locations of these 12 sample points on (x1, x2) chart.

INTERPOLATION RESULT

Provide the desired location ( x1, x2) where the interpolated function value fINT( x1, x2) is calculated.

x1:     ( -10. < x1 < +10. )

x2:    ( -10. < x2 < +10. )

Click "COMPUTE" button to find fINT(x1, x2) and f(x1, x2):

         fINT(x1, x2):

     The true value of  f(x1, x2) is :

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