MS-We-D-56
Modeling, Applications, Numerical Methods, and Mathematical Analysis of Fractional Partial Differential Equations II - Part II of IV
For Part I, see MS-Tu-E-56
For Part III, see MS-We-E-56
For Part IV, see MS-Th-BC-56

Date: August 12
Time: 13:30--15:30
Room: 403

(Note: Click title to show the abstract.)

Organizer:
Karniadakis, George (Brown Univ.)
Wang, Hong (Univ. of South Carolina)

Abstract: Fractional Partial Differential Equations (FPDEs) are emerging as a new powerful tool for modeling many difficult complex systems, i.e., systems with overlapping microscopic and macroscopic scales or systems with long-range time memory and long-range spatial interactions. They offer a new way of accessing the mesoscale using the continuum formulation and hence extending the continuum description for multiscale modeling of viscoelastic materials, control of autonomous vehicles, transitional and turbulent flows, wave propagation in porous media, electric transmission lines, and speech signals.
FPDEs raise modeling, computational, mathematical, and numerical difficulties that have not been encountered in the context of integer-order partial differential equations. The aim of this minisymposium is to cover the recent development in mathematical and numerical analysis, computational algorithms, and applications in the context of FPDEs and related nonlocal problems.


MS-We-D-56-1
13:30--14:00
Spectral Method for Substantial Fractional Differential Equations
Huang, Can (Xiamen Univ.)
Zhimin, Zhang (Beijing Computational Sci. Research Center, & Wayne State Univ.)


MS-We-D-56-2
14:00--14:30
Moving finite element methods for a system of semi-linear fractional diffusion equations
Ma, Jingtang (Southwestern Univ. of Finance & Economics)


MS-We-D-56-3
14:30--15:00
Optimal error estimates of spectral Galerkin and collocation methods for fractional differential equations
Zhang, Zhongqiang (Worcester Polytechnic Inst.)
Karniadakis, George (Brown Univ.)
Zeng, Fanhai (Brown Univ.)


MS-We-D-56-4
15:00--15:30
Modeling, Applications, Numerical Methods, and Mathematical Analysis of Fractional Partial Differential Equations II---Fast Laplace transform for fractional diffusion equations
SUN, Hai-wei (Univ. of Macau)

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Footnote:
Code: Type-Date-Time-Room No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:30-9:30, B=10:00-11:00, C=11:10-12:10, BC=10:00-12:10, D=13:30-15:30, E=16:00-18:00, F=19:00-20:00, G=12:10-13:30, H=15:30-16:00
Room No.: TBA