L-Splines; Generalizations of L-Splines; Interpolation and Approximation Results from Piece-Wise Polynomials in Higher Dimensions; The Rayleigh-Ritz Galerkin Method for Nonlinear Boundary Value Problems; Fourier Analysis; Least Squares Methods; Eigenvalue Problems; Parabolic Problems; Chebyshev Semidiscrete Approximations for Linear Parabolic Problems.