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

Date: August 12
Time: 16:00--18:30
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-E-56-1
16:00--16:30
Multigrid Methods for fractional Elliptic Equations
Chen, Long (Univ. of California at Irvine)
Salgado, Abner (Univ. of Tennessee)
Nochetto, Ricardo (Univ. of Maryland)


MS-We-E-56-2
16:30--17:00
A Petrov-Galerkin finite element method for variable-coefficient fractional diffusion equations
Zhu, Shengfeng (East China Normal Univ.)


MS-We-E-56-3
17:00--17:30
Numerical Simulation for Conservative Fractional Diffusion Equations by An Expanded Mixed Formulation
Chen, Huanzhen (College of Mathematical Sci. Shandong Normal Univ.)


MS-We-E-56-4
17:30--18:00
Closed-loop controlled spraying of anomalously diffusing pests using networked unmanned aircraft crop-dusters: The anisotropic case
Cao, Jianxiong (Shanghai Univ.)
Chen, YangQuan (Univ. of California, Mreced)
Li, Changpin (Shanghai Univ)


MS-We-E-56-5
18:00--18:30
Second-order approximations for variable order fractional derivatives: Algorithms and applications
Zhao, Xuan (Southeast Univ.)
Sun, Zhi-zhong (Southeast Univ.)
Karniadakis, George (Brown Univ.)

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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