RANDOM  INTERPOLATION
Lower Dimensionality
(A Sample Case, 1D)

The sample function has the analytic form:

f(x1) = 41.64 + 1.22 x12 + 8.33 x1

where   -10. < x1 < +10.

For this sample case, we have used 12 random locations together with the associated function values to construct the interpolant. Also, delta width value of X1 is chosen to be 0.5
(You can change M' value, the delta width value and all the input data in the table to run your own application. When you decide to do this, ignore the displayed output below for the true value of f(x1). Note that our formulation can also be used for regularly-spaced data points.)

INPUT AREA

Input Location Number (M'):

Delta width for x1 (1) :

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

INTERPOLATION RESULT

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

x1:     ( -10. < x1 < +10. )

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

         fINT(x1):

     The true value of  f(x1) is :

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