کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1707807 | 1519471 | 2015 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On kk-step CSCS-based polynomial preconditioners for Toeplitz linear systems with application to fractional diffusion equations
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On kk-step CSCS-based polynomial preconditioners for Toeplitz linear systems with application to fractional diffusion equations On kk-step CSCS-based polynomial preconditioners for Toeplitz linear systems with application to fractional diffusion equations](/preview/png/1707807.png)
چکیده انگلیسی
The implicit finite difference scheme with the shifted Grüwald formula for discretizing the fractional diffusion equations (FDEs) often results in the ill-conditioned non-Hermitian Toeplitz systems. In the present paper, we consider to solve such Toeplitz systems by exploiting the preconditioned GMRES method. A kk-step polynomial preconditioner is designed based on the circulant and skew-circulant splitting (CSCS) iteration method proposed by Ng (2003). Theoretical and experimental results involving numerical solutions of FDEs demonstrate that the proposed kk-step preconditioner is efficient to accelerate the GMRES solver for non-Hermitian Toeplitz systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 42, April 2015, Pages 53–58
Journal: Applied Mathematics Letters - Volume 42, April 2015, Pages 53–58
نویسندگان
Xian-Ming Gu, Ting-Zhu Huang, Hou-Biao Li, Liang Li, Wei-Hua Luo,