We provide an algorithm for the evaluation of the coefficients needed in the finite interval wavelet transform proposed by Cohen, Daubechies and Vial [1993]. The algorithm, written in 0athematica language, pro duces coefficients at any desired precision. In this way theoretical and numerical investigations on specific applications concerning the suitabil ity of the finite interval wavelet transform (and in particular of the pre and post conditioning steps) are possible. 1umerical evaluation of the condition number of the pre and post conditioning matrices is performed as a function of the number of the null moments. It is then proved that these values cannot be improved by a better choice of some arbitrary steps in the definition of the finite interval wavelet transform. Effects of the condition number on the accuracy of the transform are shown based on proper numerical tests; moreover, improvement of accuracy with re spect to …