Abstract
In this article, a new biorthogonal multiwavelet basis on the interval with complementary homogeneous Dirichlet boundary conditions of second order is presented. This construction is based on the multiresolution analysis on \({\mathbb{R}}\) introduced in [5] which consists of cubic Hermite splines. Numerical results for the Riesz constants and a discretization of the biharmonic equation, both non-adaptive and adaptive, are given, showing the superiority over other known boundary-adapted interval wavelet bases.
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