頁籤選單縮合
| 題 名 | A Wavelet Method for the First Kind Integral Equations with Kernel k(x-y) |
|---|---|
| 作 者 | 金小慶; 袁錦盷; | 書刊名 | Taiwanese Journal of Mathematics |
| 卷 期 | 2:4 1998.12[民87.12] |
| 頁 次 | 頁427-434 |
| 分類號 | 314.32 |
| 關鍵詞 | Integral equation; Kernel; Wavelet transform; Toeplitz matrix; Sobolev space; PCG method; |
| 語 文 | 英文(English) |
| 英文摘要 | We study the first kind integral equation ∫ k(x-y)σ(y)dy=g(x) by the wavelet method. The integral equation is discretized with respect to two different wavelet bases. We then have two different linear systems. One of them is a Toeplitz system and the other one is a system with condition number k=0(1) after a diagonal scaling. By using the preconditioned conjugate gradient (PCG) method with the fast wavelet transform (FWT) and the fast Fourier transform (FFT), we can solve the systems in 0(n log n) operations where n is the size of the systems. |
本系統中英文摘要資訊取自各篇刊載內容。