Runge's phenomenon occurs when this process becomes less accurate as the degree of the polynomials used in it increases, and can be avoided by using unequal intervals.
Nevanlinna and Pick name a problem of performing this process on the complex unit disk, and Abel and Goncharov name a type of this process which matches higher derivatives. Newton names a polynomial used for this process the coe cients of which are calculated using divided di erences.   Runge's phenomenon occurs when this process becomes less accurate as the degree of the polynomials used in it increases, and can be avoided by using unequal intervals. The simplest method of doing this, the linear method, connects consecutive data points with lines. For ten points, identify this process from numerical analysis in which a data set is   filled in  by a function.
Nevanlinna and Pick name a problem of performing this process on the complex unit disk, and Abel and Goncharov name a type of this process which matches higher derivatives.
interpolation [prompt on approximation, be nice and prompt on extrapolation]