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

We introduce and analyze a new finite element method for a three-dimensional fluidsolid interaction problem. The media are governed by the acoustic and elastodynamic equations in a time-harmonic ...

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, ...