Abstract
This chapter reviews some of the basic methods of interpolation. A need for interpolation may arise when dealing with a boundary of complex shape. For example, in a plane curve representing an airfoil section, for which measurement gives a finite number of points with cartesian co-ordinates (xo, yo), (x1, yl), (x2, y2), . ,(xn, yn). It may be necessary to be able to represent the set of data mathematically in terms of a functional relationship y =f (x), in order to perform mathematical operations such as differentiation, integration, and also interpolation to specify other boundary points. Curve-fitting from a discrete set of points may be carried out by standard interpolation methods in which a curve that passes through all data points is found. Also, approximation methods are well-developed in which a curve of a given type, say a polynomial of a certain degree that passes as close as possible, in some sense, to all points is obtained.
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