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

Y. Achdou, J.-L. Guermond, Convergence Analysis of a Finite Element Projection/Lagrange-Galerkin Method for the Incompressible Navier-Stokes Equations, SIAM Journal ...

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, ...