On the spline-based wavelet differentiation matrix
- Jameson, Leland
- Nov 1, 1993.
- Physical Description:
- 1 electronic document
- Restrictions on Access:
- Unclassified, Unlimited, Publicly available.
- The differentiation matrix for a spline-based wavelet basis is constructed. Given an n-th order spline basis it is proved that the differentiation matrix is accurate of order 2n + 2 when periodic boundary conditions are assumed. This high accuracy, or superconvergence, is lost when the boundary conditions are no longer periodic. Furthermore, it is shown that spline-based bases generate a class of compact finite difference schemes.
- NASA Technical Reports Server (NTRS) Collection.
- Document ID: 19940015614., Accession ID: 94N20087., AD-A274278., NAS 1.26:191557., ICASE-93-80., and NASA-CR-191557.
- No Copyright.
View MARC record | catkey: 15661726