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Interpolation and Approximation
Ideas of representation of functions are spread throughout this book, in various contexts. The primary aim of the present chapter is to cover the important topic of interpolation in representation and manipulation of functions. We also discuss general issues related to function approximation. Finally, we consider the application of these techniques to the modelling of curves and surfaces.
Polynomial Interpolation
On frequent occasions in mathematical modelling and analysis of physical systems, we have information on a function at discrete data points and the need is to develop an analytical representation of it, in order to (a) evaluate it at arbitrary points, (b) differentiate or integrate it and/or (c) arrive ...
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