The Evaluation
of
Connection Coefficients
of
Compactly Supported Wavelets

A. Latto, H. L. Resnikoff, and E. Tenenbaum
formerly of Aware, Inc.
1 Memorial Drive
Cambridge, MA 02142 USA
AD910708

Abstract:

A connection coefficient is an integral of products of wavelet basis functions, their derivatives and their translates. It is a functional that can be used to solve PDE's by the wavelet-Galerkin method. This paper presents an exact method for evaluating connection coefficients. This is essential for the application of wavelets to the numerical solution of partial differential equations, since numerical approximations of the connection coefficients are in general unstable due to the oscillatory nature of the integrands.

 

• Contents
• List of Tables
• Introduction
• Definition of Terms
• Outline of the General Method
• 3-Term Connection Coefficients
• Solutions, Existence and Other Calculations
• References
• Calculation of Moments
• 2-Term Connection Coefficient Equations
• Connection Coefficients for D6
• About this document ...