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Researcher:
Prof. K. Nipp
Date: 19. 12. 2005
Summary:
Geometric singular perturbation theory is an important tool in the
field of continuous dynamical systems making use of invariant manifold
results for ordinary differential equations (ODEs). We want to
derive similar results for maps as obtained when discretising systems
of ODEs by numerical integration schemes. The objective is to prove
geometric properties of numerical integration methods.