Biorthogonal cubic Hermite spline multiwavelets on the interval with complementary boundary conditions

@inproceedings{Schneider2007BiorthogonalCH,
  title={Biorthogonal cubic Hermite spline multiwavelets on the interval with complementary boundary conditions},
  author={Andreas Schneider},
  year={2007}
}
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 R 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… CONTINUE READING