caa a22 4500 467939411 CHVBK 20180406153007.0 cr unu---uuuuu 170328e20060701xx s 000 0 eng 10.1007/s10444-003-7609-5 doi (NATIONALLICENCE)springer-10.1007/s10444-003-7609-5 Wavelet bases of Hermite cubic splines on the interval [Elektronische Daten] [Rong-Qing Jia, Song-Tao Liu] In this paper a pair of wavelets are constructed on the basis of Hermite cubic splines. These wavelets are in C1 and supported on [−1,1]. Moreover, one wavelet is symmetric, and the other is antisymmetric. These spline wavelets are then adapted to the interval [0,1]. The construction of boundary wavelets is remarkably simple. Furthermore, global stability of the wavelet basis is established. The wavelet basis is used to solve the Sturm-Liouville equation with the Dirichlet boundary condition. Numerical examples are provided. The computational results demonstrate the advantage of the wavelet basis. Springer, 2006 wavelets on the interval nationallicence Hermite cubic splines nationallicence numerical solutions of differential equations nationallicence Jia Rong-Qing Department of Math. and Stat. Sciences, University of Alberta, T6G 2G1, Edmonton, Canada aut Liu Song-Tao Department of Math. and Stat. Sciences, University of Alberta, T6G 2G1, Edmonton, Canada aut Advances in Computational Mathematics Kluwer Academic Publishers 25/1-3(2006-07-01), 23-39 1019-7168 25:1-3<23 2006 25 10444 https://doi.org/10.1007/s10444-003-7609-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-003-7609-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jia Rong-Qing Department of Math. and Stat. Sciences, University of Alberta, T6G 2G1, Edmonton, Canada aut NATIONALLICENCE 700 1- Liu Song-Tao Department of Math. and Stat. Sciences, University of Alberta, T6G 2G1, Edmonton, Canada aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 25/1-3(2006-07-01), 23-39 1019-7168 25:1-3<23 2006 25 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer