Order of accuracy analysis for multiresolution time-domain using daubechies bases

In this paper, the spatial order of accuracy of multiresolution time-domain methods using basis functions from the Daubechies family are studied. It is observed that MRTD methods using scaling functions from the Daubechies N-vanishing-moment orthonormal family have a spatial order of accuracy equal to 2N. For MRTD methods using scaling functions from the CDF (2, N-2) biorthogonal family, the spatial order of accuracy is 2 + N-2. We also find that the order of accuracy is the same for both staggered and nonstaggered spatial grids. The simulation results are presented which confirm analytical predictions. (c) 2005 Wiley Periodicals, Inc.