Inner product computations using periodized Daubechies wavelets

Inner products of wavelets and their derivatives are presently known as connection coe cients. The numerical calculation of inner products of periodized Daubechies wavelets and their derivatives is reviewed, with the aim at providing potential users of the publicly-available numerical scheme, details of its operation. The numerical scheme for the calculation of connection coe cients is evaluated in the context of approximating di erential operators, information which is useful in the solution of partial di erential equations using wavelet-Galerkin techniques. Speci c details of the periodization of inner products in the solution di erential equations are included in this presentation