Wavelet Notes

B. M Kessler; G. L Payne; W. N Polyzou

doi:10.48550/arxiv.nucl-th/0305025

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Wavelet Notes

B. M Kessler, G. L Payne and W. N Polyzou

ArXiv.org

Cornell University

05/10/2003

DOI: 10.48550/arxiv.nucl-th/0305025

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Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

Wavelets are a useful basis for constructing solutions of the integral and differential equations of scattering theory. Wavelet bases efficiently represent functions with smooth structures on different scales, and the matrix representation of operators in a wavelet basis are well-approximated by sparse matrices. The basis functions are related to solutions of a linear renormalization group equation, and the basis functions have structure on all scales. Numerical methods based on this renormalization group equation are discussed. These methods lead to accurate and efficient numerical approximations to the scattering equations. These notes provide a detailed introduction to the subject that focuses on numerical methods. We plan to provide periodic updates to these notes..

Physics - Nuclear Theory

Details

Title: Subtitle: Wavelet Notes
Creators: B. M Kessler
G. L Payne
W. N Polyzou
Resource Type: Preprint
Publication Details: ArXiv.org
Publisher: Cornell University
DOI: 10.48550/arxiv.nucl-th/0305025
ISSN: 2331-8422
Number of pages: 80
Language: English
Date posted: 05/10/2003
Academic Unit: Physics and Astronomy
Record Identifier: 9984442007502771

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