Abstract: First, from the specific physical applications we introduce the fractional calculus and derive the fractional diffusion equation, then discuss the recently developed several series of high order discretizations [Math Comp, arXiv: 1201.5949; J Sci Comput, 56(1), 45-66, 2013; arXiv: 1304.7425; arXiv: 1312.7069] for the fractional calculus. Further, considering the functional distribution of anomalous diffusion, the fractional Feynman-Kac equation [J. Stat. Phys. 141, 1071-1092, 2010] with fractional substantial calculus is introduced. The definitions of fractional substantial calculus, their basic properties, and high order discretizations are presented and analyzed [arXiv: 1310.3086].  

About the Speaker: Dr. Deng was promoted as full professor at Lanzhou University in May, 2010; associate professor in August, 2007. He received his PhD from Shanghai Univ and his master and bachelor degrees from Lanzhou Univ. He has academically visited (short or long term) Department of Physics, Bar-Ilan University; Division of Applied Mathematics, Brown University; Max Planck Institute for the Physics of Complex Systems Germany; Kavli Institute for Theoretical Physics China, etc. His research interests include scientific computation, numerical analysis, statistical physics, nonlinear dynamics, and anomalous diffusion.

Date&Time: January 7, 2014 (Tuesday), 14:00-15:00
Location: 606 Conference Room, No.3 Heqing Road, Haidian District