外围买彩票app

【95周年校庆系列讲座】Tau preconditioner for multi-dimensional Riesz space fractional diffusion equations with applications 求解多维里斯空间分数阶扩散方程的τ预处理子及其应用

时间: 2019-11-24         阅读:

光华讲坛——社会名流与企业家论坛第5945期

主题: 外围买彩票appTau preconditioner for multi-dimensional Riesz space fractional diffusion equations with applications 求解多维里斯空间分数阶扩散方程的τ预处理子及其应用

主讲人: 澳门大学 孙海卫教授

主持人: 经济数学学院 顾先明博士

时间: 2020年11月27日(周二)9:30-11:00

直播平台及会议ID: 腾讯会议,262 266 846

主办单位:外围买彩票app_靠谱的外围买球app_【官网】外围买彩票app 经济数学学院 科研处

主讲人简介:

SUNHAIWEI,AOMENDAXUESHUXUEXIXIZHUREN,JIAOSHOU,BOSHISHENGDAOSHI。1983NIAN7YUEBENKEBIYEZHONGSHANDAXUESHUXUEXI,1989NIAN7YUEHUOZHONGSHANDAXUEYINGYONGSHUXUESHUOSHIXUEWEI,1996NIANHUOXIANGGANGZHONGWENDAXUEYINGYONGSHUXUEZHUANYEBOSHIXUEWEI。ZHUYAOYANJIULINGYUSHISHUZHIDAISHUHESHUZHIPIANWEIFENFANGCHENG。2001ZHI2004NIANQIJIANFENBIEZAIMEIGUOKENTAJIZHOUDAXUEGAOXINGNENGJISUANSHIYANSHIHEYALABAMAZHOUDAXUEHUAXUEGONGCHENGXIZUOBOSHIHOU。2004NIANDAOAOMENDAXUESHUXUEXIGONGZUO。ZHUCHIAOMENZIRANKEXUEJIJINXIANGMUDUOXIANG,ZAISIAM Journal on Scientific ComputingDENGGAOSHUIPINGQIKANFABIAOLUNWEN60DUOPIAN,QIZHONG50DUOPIANBEISCISHOULU。HAIDANRENSCIQIKAN《International Journal of Computer Mathematics》FUZHUBIAN。

内容提要:

In this talk, we study the spectra of the tau-preconditioner for the multi-level Toeplitz matrices arising from discretized multi-dimensional Riesz spatial fractional diffusion equations via the finite difference method. The preconditioned conjugate gradient method with a tau preconditioner, which can be diagonalized by the sine transform, is employed to solve the resulting linear system. Theoretically, we prove that the spectra of the preconditioned matrices are uniformly bounded in the open interval (1/2,3/2) and thus the preconditioned conjugate gradient method converges linearly. The proposed method can be extended to multi-level Toeplitz matrices generated by functions with zeros of fractional order. Our theoretical results fill in the gap in the literature. Numerical examples are presented to demonstrate our new theoretical results in the literature and show the convergence performance of the proposed preconditioner that is better than other existing preconditioners.

外围买彩票appIt is a joint work with Xin HUANG and Michael K. NG

外围买彩票appBENBAOGAOYANJIUZHENDUIDUOWEILISIKONGJIANFENSHUJIEKUOSANFANGCHENGYOUXIANCHAFENLISANSUODEDUOCENGTUOPULICIJUZHENDEτYUCHULIJIQIPUFENXI。TEBIEDI,YOUYUτYUCHULIBENSHENKEYIBEIZHENGXIANBIANHUANJUZHENKUAISUDUIJIAOHUA,ZHEIYIWEIYUCHULIDEGONGETIDUSUANFAKEYIKUAISUYUNSUAN。LILUNSHANG,WAIWEIMAICAIPIAOappZHENGMINGLEYUCHULIJUZHENDETEZHENGZHIYIZHIDIJUJIZAIKAIQUJIAN(1/2, 3/2),YINCIYUCHULIGONGETIDUSUANFAKEYIDADAOXIANXINGSHOULIAN。ZHEIGEJIEGUOKEYITUIGUANGDAOYUCHULIDUOCENGTUOPULICIJUZHEN(QISHENGCHENGHANSHUJUYOUFENSHUJIELINGDIAN),ZHEISHIYIWANGWENXIANZHONGWEICENGYOUDEJIEGUO。ZUIHOU,SHUZHISHIYANZHENGSHILESUOTICHUFANGFADEYOUXIAOXING,BINGYOUYUQITAYICUNZAIDEYUCHULIZI。

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