Interpolation and approximation
Engineers and scientists are often faced with the problem of finding a function that matches a set of given data values.
This problem is encountered, for example, when trying to fit a curve to a set of experimental values.
MasterAllRound offers selected interpolation methods and approximation functions, thus enabling you to solve your
problem of constructing a function from a number of pairs of data values quickly and without pain.
Interpolation
The interpolating function exactly fits a given set of data values and represents the data between these as adequately as possible.
The following interpolation methods are incorporated in MasterAllRound:
- Direct polynomial interpolation
- Newton's divided difference interpolation formula
- Lagrange's polynomial
- Quadratic spline
- Cubic spline
Approximation
For approximation, the polynomial function interpolates the data points as closely as possible (but maybe not exactly).
The following least squares fit solutions are incorporated in MasterAllRound:
- Linear polynomial
- Quadratic polynomial
- Cubic polynomial
- N-degree polynomial
- Maximal degree polynomial
Features of MasterAllRound
- The input is a text file containing the data pairs in 2 columns
- The resulting interpolation (and approximation, respectively) polynomials are stored as text a file
- The computed functions are transfered to the plot module
- A button-click brings you to the plot module for a graphical display of your solutions
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