WAVELETS ON THE INTERVAL WITH OPTIMAL LOCALIZATION
Stefano Grivet-Talocia, Anita Tabacco · Mathematical Models and Methods in Applied Sciences · 2000
This paper introduces a novel construction of wavelets on the unit interval. With this construction, explicit upper bounds for the length of the modified border wavelets filters can be given. This insures a good localization of the border wavelets when a triangular biorthogonalization scheme is employed. The resulting wavelet bases are then well-suited for the adaptive solution of partial differential equations.