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

Date: August 13
Time: 10:00--12:00
Room: 403

(Note: Click title to show the abstract.)

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.

A Fast Gradient Projection Method for a Constrained Fractional Optimal Control
Du, Ning (Shandong Univ.)
Wang, Hong (Univ. of South Carolina)

Valuation of American option under a fractional diffusion model
GUO, Xu (Hong Kong Baptist Univ.)

A fast numerical method for space-fractional PDEs on a general convex domain
Jia, Jinhong (School of Mathmatics, Shandong Univ.)

A high-accuracy preserving spectral Galerkin method for space-fractional partial differential equations
Zhang, Xuhao (Shandong Univ.)


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