| Popis: |
Topics of this chapter are piecewise polynomial interpolations based on Lagrange, Hermite, or extended Hermite polynomials of arbitrary degree. The basic idea is to divide the space of interest into smaller subintervals carrying a local coordinate system. Piecewise interpolation polynomials can be used, e.g., for interpolating data. The focus here are finite element applications in quantum dynamics. Thus as an example we will apply piecewise Lagrange interpolation polynomials for a finite element ansatz of the radial Schrodinger equation for Hydrogen atoms. MATLAB code for computing the interpolation coefficients and code with respect of the finite element example can be downloaded. |
