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Numerical Approximations to Fractional Derivatives and Their Applications
Date: 2015/12/11             Browse: 430

Speaker: Changpin Li

Time: Dec 11, 3:30pm - 4:30pm.

LocationLecture hall, Administration Center

Abstract:

Generally speaking, the typical fractional derivatives are Riemann-Liouville derivative and Caputo derivative. The former is often utilized by pure mathematicians and physicists whilst the latter by applied mathematicians and engineers. A special combination of the left and right Riemann-Liouville derivatives defines a Riesz derivative which is usually used to describe the anomalous diffusion in space. In this talk, we mainly introduce the high-order algorithms to approximate Caputo derivatives and Riesz derivatives. Then we applied the approximate schemes to the Caputo time fractional advection-diffusion equation and the Riesz spatial fractional advection-diffusion equation where the stability and convergence are analyzed. The displayed numerical experiments support the theoretical results.

Bio:

李常品

现任上海大学理学院教授、计算所所长、博士生导师,

主要研究方向为分岔混沌的应用理论和计算、分数阶微分方程数值计算。

李常品教授是International Journal of Bifurcation and Chaos,Fractional Differential Calculus,International Journal of Applied Mathematics等国际杂志的编委,是SCI杂志Phil. Trans. R. Soc. A (2013)、Int. J. Bifurcation Chaos (2012)、Eur. Phys. J.-ST (2011)的Lead Guest Editor,是美国《数学评论》和德国《数学文摘》评论员。在国内外重要学术期刊上发表SCI论文80多篇,SCI检索他人引用1200多次。

 

SIST-Seminar 15052