HOME    »    PROGRAMS/ACTIVITIES    »    Annual Thematic Program
Large-Scale Dynamical Systems
September 29 - October 3, 1997


Don Aronson, University of Minnesota
H. B. Keller, Caltech
Edriss Titi, University of California-Irvine
Laurette Tuckerman, Orsay (Chair)

The numerical study of low-dimensional dynamics in large-scale sets of ODEs and discretizations of PDEs necessitates the development of special-purpose algorithms for simulation, stability and bifurcation analysis. This workshop addressed development and application of special iterative methods for large-scale systems that exploit local stability properties of the linearized system. It also considered global model reduction schemes for PDEs such as approximate inertial manifolds and lattice dynamics. Applications of special interest included selected problems arising in fluid flow and nucleation in alloys.

Click on the titles to find abstracts and/or links to presentation materials

W. Miller, R. Gulliver,
L. Tuckermann
Welcome and Orientation
Yannis Kevrekidis,
Princeton University
Nonlinear Model Reduction for Feedback Control
Edriss S. Titi,
Univ. of California, Irvine
Postprocessing the Galerkin Method: a Novel Approach to Approximate Inertial Manifolds
Mike Jolly,
Indiana University
Applications of Rosa's Sequence of Approximate Inertial Manifolds
Philip Marcus,
Univ. of California at Berkeley
Creating Jovian-Like Zonal Flows by Reverse-Energy Cascades
Katie Coughlin,
Université de Montreal
The formation of structures in wall-bounded shear flows
Paul H. Steen,
Cornell University
Influence of constraint on routes to chaotic natural convection in Hele-Shaw slot, loop, and annulus
H. B. Keller,
Bifurcations in Kolmogorov Flows via DAE and RPM
Dirk Roose,
K. U. Leuven, Belgium
Newton-Picard methods for the bifurcation analysis of partial differential equations and delay differential equations
Laurette Tuckermann,
LIMSI, Orsay
Bifurcation analysis for time steppers
Yakov Pesin,
Penn State University
Chaos in Traveling Waves of Lattice Models of Unbounded Media
Andrew Stuart,
Stanford University
Statistical Properties of Computations for Large Coupled Systems of Oscillators
David Levermore,
University of Arizona
The Complex Ginzburg-Landau Equation as a Pertubation of the Nonlinear Schrödinger Equation: A Melnikov Approach
Rüdiger Seydel,
Universität Ulm
Two PDE dynamical systems with bifurcations
Hans G. Othmer,
University of Utah
Pattern formation in early development of Dictyostelium discoideum
Jeroen Molemaker
University of Utrecht
Path-following techniques for large dynamical systems
Yousef Saad,
University of Minnesota
Variants of Krylov Projection Methods for Eigenvalue Problems

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1997-1998 Emerging Applications of Dynamical Systems