Saturday, August 12

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

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