Progress in Applied Mathematics
The Computation of Wavelet-Galerkin Three-Term Connection Coecients on a Bounded Domain
Abstract
Computation of triple product integrals involving Daubechies scaling functions may be necessary when using the wavelet-Galerkin method to solve differential equations involving nonlinearities or parameters with field variable dependence. Numerical algorithms for determining these triple product integrals, known as three-term connection coefficients, exist but tend to suffer from ill-conditioning. A more stable numerical solution algorithm is presented herein and shown to be both accurate and robust.
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DOI: http://dx.doi.org/10.3968/5016
DOI (PDF): http://dx.doi.org/10.3968/pdf_6
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