Publications [#338923] of Lawrence Carin

Papers Published

1. Kovvali, N; Lin, W; Carin, L, Order of accuracy analysis for multiresolution time-domain using daubechies bases, Microwave and Optical Technology Letters, vol. 45 no. 4 (May, 2005), pp. 290-293, WILEY [mop.20798], [doi]
   (last updated on 2024/12/31)

   Abstract:
   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. © 2005 Wiley Periodicals, Inc.

   Keywords:
   Optical resolving power;Numerical methods;Maxwell equations;Error analysis;Digital arithmetic;Finite element method;Electric fields;Magnetic fields;Mathematical models;Computer simulation;