DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:**Michael Minion, University of North Carolina

**Title: ***
Temporal Parallelization for Partial Differential Equations
*

**Abstract:**
I will discuss a strategy for the
parallelization of numerical methods for partial differential
equations in the temporal direction intended to be
combined with existing spatial parallelization codes.
The method presented iteratively improves
the solution on each time slice by applying deferred
correction sweeps to a hierarchy of spatial and temporal
discretizations. Coarse resolution problems are
formulated using a time-space analog of the full approximation
scheme. Connections to the parareal algorithm and space-time multigrid
methods will be discussed, and the parallel efficiency and speedup for
PDEs in one, two and three dimensions will be presented.

**Time:** Friday, March 2, 2012, 1:30-2:30 p.m.

**Place:** Science and Tech I, Room 242

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491