Carl de Boor

Collocation at Gaussian Points

Approximations to an isolated solution of an mth order nonlinear ordinary differential equation with m linear side conditions are determined. These approximations are piecewise polynomial functions of order

High accuracy geometric Hermite interpolation

m + k

On the Construction of Multivariate (pre) Wavelets

(degree less than

On Multivariate Polynomial Interpolation

m + k

The numerically stable reconstruction of a Jacobi matrix from spectral data

) possessing

Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )

m - 1

Package for Calculating with B-Splines

continuous derivatives. They are determined by collocation, i.e., by the requirement that they satisfy the differential equation at k points in each subinterval, together with the m side conditions. If the solution of the sufficiently smooth differential equation problem has

On uniform approximation by splines

m + 2k

A bound on the _{∞}-norm of ₂-approximation by splines in terms of a global mesh ratio

continuous derivatives and if the collocation points are the zeroes of the kth Legendre polynomial relative to each subinterval, then the global error in these approximations is

The least solution for the polynomial interpolation problem

O(| \Delta |^{m + k} )