Proceedings of the Korean Nuclear Society Conference (한국원자력학회:학술대회논문집)
- 1996.05a
- /
- Pages.282-287
- /
- 1996
Fast Solution of Linear Systems by Wavelet Transform
- Park, Chang-Je (Korea Advanced Institute of Science and Technology Department of Nuclear Engineering) ;
- Cho, Nam-Zin (Korea Advanced Institute of Science and Technology Department of Nuclear Engineering)
- Published : 1996.05.01
Abstract
We. develop in this study a wavelet transform method to apply to the flux reconstruction problem in reactor analysis. When we reconstruct pinwise heterogeneous flux by iterative methods, a difficulty arises due to the near singularity of the matrix as the mesh size becomes finer. Here we suggest a wavelet transform to tower the spectral radius of the near singular matrix and thus to converge by a standard iterative scheme. We find that the spectral radios becomes smatter than one after the wavelet transform is performed on sample problems.
Keywords