MS-Th-BC-57
Modeling, Applications, Numerical Methods, and Mathematical Analysis of Fractional Partial Differential Equations I - Part I of V
For Part II, see MS-Th-D-57
For Part III, see MS-Th-E-57
For Part IV, see MS-Fr-D-57
For Part V, see MS-Fr-E-57

Date: August 13
Time: 10:00--12:00
Room: 402A

(Note: Click title to show the abstract.)

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

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-Th-BC-57-1
10:00--10:30
Physical implications of fractional diffusion models
Hilfer, R (Univ. Stuttgart)


MS-Th-BC-57-2
10:30--11:00
Fractional diffusion in bounded domains
Del-Castillo-Negrete, Diego (Oak Ridge National Laboratory)


MS-Th-BC-57-3
11:00--11:30
Recent developments of fast numerical methods and associated analysis of FPDEs
Wang, Hong (Univ. of South Carolina)


MS-Th-BC-57-4
11:30--12:00
A fourth-order alternating direction method for a fractional FitzHugh-Nagumo monodomain model
Liu, Fawang (Queensland Univ. of Tech.)
Turner, Ian (Queensland Univ. of Tech.)
Chen, Shiping (Quanzhou Normal 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