===affil2:
Colorado School of Mines
===firstname:
Ahmad, H.
===firstname4:

===firstname3:
Mahadevan
===lastname2:
Alyoubi
===keyword1:
OTHER
===lastname:
Alyoubi
===firstname5:

===affil6:

===lastname3:
Ganesh
===email:
aalyoubi@mymail.mines.edu
===keyword2:
Discretization
===keyword_other2:

===lastname6:

===affil5:

===otherauths:

===lastname4:

===affil4:

===lastname7:

===competition:
no
===affil7:

===firstname7:

===postal:
Applied Mathematics and Statistics
1500 Illinois Street
Golden, Colorado 80401
===firstname6:

===ABSTRACT:
It has been recently observed that single- and multi-phase fluid flow in complex porous media are best modeled using anomalous sub-diffusion models. Such models can be described by a class of non-local in time fractional derivative partial differential equations (FPDEs). Understanding the long-time behavior of processes governed by such models is crucial from early design phase to production phase in various applications such as reservoir management. The standard time-stepping approach for models involving non-local operators lead to computational
bottleneck for long-time simulation and for resolving fine scale spatial structures in the models. We develop and implement an efficient time parallel simulation approach for a class of single-phase FPDEs.
===affil3:
Colorado School of Mines
===keyword_other1:
Time Parallel Methods
===lastname5:

===affilother:

===title:
Efficient Time Parallel Simulation of a Class of Single-Phase Sub-Diffusion Models
===firstname2:
Ahmad