Speaker: Dr. Rob Falgout, Center for Applied Scientific Computing (CASC) at Lawrence Livermore National Laboratory (LLNL) Abstract: Multigrid methods play a key role in large-scale scientific simulation because they are among the fastest and most scalable approaches for solving systems of equations. They are widely used to solve the sparse spatial systems that arise in these simulations, and they have been shown to scale efficiently on today’s supercomputers. For time-dependent simulations...

Speaker: Dr. Rob Falgout, Center for Applied Scientific Computing (CASC) at Lawrence Livermore National Laboratory (LLNL)

Title: Parallel-in-Time Solution of Systems of Linear and Nonlinear Hyperbolic PDEs Abstract: The multigrid reduction in time (MGRIT) method is a parallel multigrid-in-time solver designed to be as non-intrusive as possible and take advantage of existing simulation codes and techniques. This has worked well for parabolic equations, but parallel-in-time methods for advection-dominated hyperbolic problems have proven difficult to develop. In previous work, we demonstrated the effectiveness of a...