Convergence of non-stationary semi-discrete RBF schemes for the heat and wave equation

We give a detailed analysis of the convergence in Sobolev norm of the method of lines for the classical heat and wave equations on R n using non-stationary radial basis function interpolation on regular grids h Z n (scaled cardinal interpolation), for basis functions whose native space is a Sobolev space of order ν / 2 with ν > n + 2 .