A fast algorithm for particle simulations
Journal of Computational Physics
Ten lectures on wavelets
On the instability of arbitrary biorthogonal wavelet packets
SIAM Journal on Mathematical Analysis
The fast multipole method: numerical implementation
Journal of Computational Physics
Field Computation by Moment Methods
Field Computation by Moment Methods
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Journal of Computational and Applied Mathematics
Hi-index | 7.29 |
We examine the use of wavelet packets for the fast solution of integral equations with a highly oscillatory kernel. The redundancy of the wavelet packet transform allows the selection of a basis tailored to the problem at hand. It is shown that a well chosen wavelet packet basis is better suited to compress the discretized system than wavelets. The complexity of the matrix-vector product in an iterative solution method is then substantially reduced. A two-dimensional wavelet packet transform is derived and compared with a number of one-dimensional transforms that were presented earlier in literature. By means of some numerical experiments we illustrate the improved efficiency of the two-dimensional approach.