The Computation of Wavelet-Galerkin Three-Term Connection Coecients on a Bounded Domain

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.