@article {IOPORT.05046816, author = {Jia, Rong-Qing and Liu, Song-Tao}, title = {Wavelet bases of Hermite cubic splines on the interval.}, year = {2006}, journal = {Advances in Computational Mathematics}, volume = {25}, number = {1-3}, issn = {1019-7168}, pages = {23-39}, publisher = {Springer, Dordrecht}, doi = {10.1007/s10444-003-7609-5}, abstract = {The main result is a new approach to the construction of wavelet bases of Hermite cubic splines. In contrast to the semi-orthogonal wavelets by {\it C. K. Chui} and {\it J. Wang} [Trans. Am. Math. Soc. 330, 903--915 (1992; Zbl 0759.41008)], the wavelets from this paper are more pertinent to applications of wavelets to numerical solutions of differential equations. {\it W. Dahmen, B. Han, R.-Q. Jia}, and {\it A. Kunoth} [Constructive Approximation 16, No. 2, 221--259 (2000; Zbl 0952.42018)] constructed biorthogonal multi-wavelets on the basis of Hermite cubic splines which was quite complicated than this method.}, reviewer = {Chengshu Wang (Denver)}, identifier = {05046816}, }