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On the Daubechies-based wavelet differentiation matrixThe differentiation matrix for a Daubechies-based wavelet basis is constructed and superconvergence is proven. That is, it will be proven that under the assumption of periodic boundary conditions that the differentiation matrix is accurate of order 2M, even though the approximation subspace can represent exactly only polynomials up to degree M-1, where M is the number of vanishing moments of the associated wavelet. It is illustrated that Daubechies-based wavelet methods are equivalent to finite difference methods with grid refinement in regions of the domain where small-scale structure is present.
Document ID
19940018617
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Jameson, Leland (Institute for Computer Applications in Science and Engineering Hampton, VA, United States)
Date Acquired
September 6, 2013
Publication Date
December 1, 1993
Subject Category
Numerical Analysis
Report/Patent Number
ICASE-93-95
NAS 1.26:191583
NASA-CR-191583
Accession Number
94N23090
Funding Number(s)
PROJECT: RTOP 505-90-52-01
CONTRACT_GRANT: NAS1-19480
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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