Organizers:
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
MONDAY, SEPTEMBER
29 |
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 |
TUESDAY, SEPTEMBER
30 |
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 |
WEDNESDAY,
OCTOBER 1 |
H. B. Keller,
Caltech |
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 |
THURSDAY,
OCTOBER 2 |
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 |
FRIDAY, OCTOBER
3 |
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