Friday, July 17

MS70
Waveform Relaxation Method for ODEs and PDEs

10:30 AM-12:30 PM
Room: Sidney Smith 2135

Waveform relaxation has been developed as an iterative method for the solution of ordinary differential equations. It can be easily implemented in parallel and can decoup stiff and non-stiff equations, making it very successful in some applications, most notably VLSI simulations. In recent years, however, waveform relaxation methods attracted the attention of researchers working in the area of numerical PDEs. It has been demonstrated that waveform relaxation is related to and can be successfully combined with other techniques, such as domain decomposition and multigrid. The speakers in this minisymposium will discuss waveform relaxation for non-autonomous problems, the impact of boundary conditions on the convergence rate of the method and the use of fast direct solvers as preconditioners.

10:30 Waveform Relaxation Methods

Andrew Lumsdaine, University of Notre Dame; Mark Reichelt, The MathWorks Inc.; and Jacob White, Massachusetts Institute of Technology

11:00 Waveform Relaxation for Non-Autonomous ODEs

Sigitas Keras, Organizer

11:30 Boundary Conditions to Improve the Convergence Rate of Waveform Relaxation for PDEs

Martin J. Gander, Organizer

12:00 Fast Direct Methods as Preconditioner in Waveform Relaxation for Ordinary and Delay Differential Equations

Jo Simoens and Stefan Vandewalle, Katholieke Universiteit Leuven, Belgium