Biorthogonal cubic Hermite spline multiwavelets on the interval with complementary boundary conditions
نویسنده
چکیده
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 onR introduced in [DHJK00] which consists of cubic Hermite splines on the primal side. Numerical results are given for the Riesz constants and both a non-adaptive and an adaptive discretization of the biharmonic equation, showing the superiority over other known boundary-adapted interval bases.
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