PUBLICATIONS

1. H. W. Broer, A. Hagen and G. Vegter, Numerical continuation of invariant manifolds, Nonlinearity 20 (2007) 1499-1534.

2. H. W. Broer, A. Hagen and G. Vegter, A versatile algorithm for computing invariant manifolds, in Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena, Springer (2006), 17-37.

3. A. Hagen, Hyperbolic trajectories of time discretizations, Nonlinear Anal. 59 (2004), 121-132.

4. H. W. Broer, A. Hagen and G. Vegter, Multiple purpose algorithms for invariant manifolds, Dynam. Contin. Discrete Implus. Systems B 10 (2003), 331--344.

5. H. W. Broer, A. Hagen and G. Vegter, Numerical approximation of normally hyperbolic invariant manifolds, Proceedings of the 4th AIMS meeting 2002 at Wilmington, DCDS 2003 supplement volume (2003), 133--140.

6. A. Hagen, Hyperbolic Structures of Time Discretizations and the Dependence on the Time Step, Ph.D. Thesis, Department of Mathematics, University of Minnesota, 1996.

PRESENTATIONS

"Computing Invariant Manifolds", Fourth International Conference on Dynamical Systems and Differential Equations, University of North Carolina, USA, May 2002.

"Computing Invariant Manifolds", Second International Conference on Dynamics of Continuous, Discrete and Impulsive Systems, University of Western Ontario, Canada, July 2001.

"Computing Invariant Manifolds", Workshop on Dimensional Reduction in Chemical Kinetics, Argonne National Laboratory, University of Chicago, USA, June 2000.

"Computing Invariant Manifolds using Nonuniform Adaptive Refinement", Dynamical Systems Seminar, Department of Mathematics, University of California, Irvine, USA, December 1999.

"Computing Invariant Manifolds: the saddle case", Finite Dimensional Dynamical Systems Workshop, Lorenz Center, Leiden University, The Netherlands, August 1999.

"Finite Element Algorithms for Invariant Manifolds", Applied Dynamical Systems Workshop, Deptartment of Engineering Mathematics, University of Bristol, United Kingdom, March 1999.

"Numerical Algorithms For Invariant Manifolds", Dynamical Systems Seminar, Department of Mathematics and Computer Science, University of Groningen, The Netherlands, March 1998.

"Hyperbolic Structures of Time Discretizations and the Dependence on the Time Step", Dynamical Systems and Pattern Formation Workshop, Lorentz Center, Leiden University, The Netherlands, September 1997.