Tuesday, July 12

MS26
Numerical Continuation Methods and Applications

10:30 AM - 12:30 PM
Room: Versailles Ballroom - 3rd Floor

The speakers in this session will survey algorithms for numerical continuation and applications of those methods. The objective of the methods is to solve parameter-dependent families of nonlinear equations, and to study the dependence of the solution(s) on those parameters. Issues include multiple solutions, intersecting arcs and manifolds of solutions, and dynamic properties of time-dependent problems.

Organizer: Tim Kelley
North Carolina State University

10:30-10:55 Fast Continuation Methods for Compact Fixed-Point Problems

Tim Kelley, North Carolina State University; B. Montgomery Pettit, University of Houston; Ioannis Kevrekidis, Princeton University

11:00-11:25 The LOCA Software for Bifurcation Analysis of Large-Scale Applications

Andrew Salinger, Eric Phipps, and Roger P. Pawlowski, Sandia National Laboratories

11:30-11:55 An Equation-free, Coarse-grained Approach to Coupled Oscillator Dynamics

Ioannis Kevrekidis and Sung Joon Moon, Princeton University; Roger Ghanem, Johns Hopkins University

12:00-12:25 Numerical Computation of Periodic Orbits and Phase Response Curves in Matlab

Willy Govaerts, Ghent University, Belgium; B. Sautois, University of Ghent