Saturday, August 12
MS50
Numerical Analysis of Large-Scale Bifurcation Problems
1:30 PM-3:30 PM
Lehua (Salon 6)
Bifurcation analysis of very large nonlinear models can present new numerical challenges. As scientific
simulation codes make use of expanding computational resources, the analysis tools must also evolve to handle the
larger systems. In this session, the speakers will discuss the development and implementation of novel numerical methods for the bifurcation analysis of specific large-scale applications.
Organizer: Andrew G. Salinger
Sandia National Laboratories, USA
- 1:30-1:55 Linear and Nonlinear Stability Analysis on Massively Parallel Computers
- Andrew G. Salinger, Organizer; Richard B. Lehoucq and Louis A. Romero, Sandia National Laboratories, Albuquerque, USA
- 2:00-2:25 Continuation and Bifurcations in Kolmogorov Flow
- Herbert B. Keller, California Institute of Technology, USA
- 2:30-2:55 Bifurcation Computations of Microscopic Systems
- C. Theodoropoulos and Yannis. G. Kevrekidis, Princeton University, USA
- 3:00-3:25 Pattern Formation of Hele-Shaw Flows with Small Surface Tension
- Hector D. Ceniceros and Thomas Y. Hou, California Institute of Technology, USA