General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties (convergence, error bounds, ...

Some definitions on stability of interpolating process are given and then the sufficient and necessary conditions are obtained. On this basis, we conclude that the Lagrange interpolation is unstable, ...

Baruch Ziv, Pinhas Alpert, Isobaric to Isentropic Interpolation Errors and Implication to Potential Vorticity Analysis, Journal of Applied Meteorology (1988-2005), Vol. 33, No. 6 (June 1994), pp.