Výsledky vyhledávání - "Stoffer, Daniel"

In this book dynamical systems are investigated from a geometric viewpoint. Admitting an invariant manifold is a strong geometric property of a dynamical system. This text presents rigorous results on invariant manifolds and gives examples of possibl

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Iteration einer n-Ecksabbildung

Autor: Adelmeyer, Moritz, Stoffer, Daniel

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4a313683aa18382f0204046b2fd28703

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Invariant manifolds and global error estimates of numerical integration schemes applied to stiff systems of singular perturbation type - Part II: Linear multistep methods

Autor: Nipp, Kaspar, Stoffer, Daniel

Publikováno v: SAM Research Report, 1995-03

It is shown that appropriate linear multi-step methods (LMMs) applied to singularly perturbed systems of ODEs preserve the geometric properties of the underlying ODE. If the ODE admits an attractive invariant manifold so does the LMM. The continuous

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Invariant manifolds of numerical integration schemes applied to stiff systems of singular perturbation type - Part I: RK-methods

Autor: Nipp, Kaspar, Stoffer, Daniel

Publikováno v: SAM Research Report, 1992-14

For implicit RK-methods applied to singularly perturbed systems of ODEs it is shown that the resulting discrete systems preserve the geometric properties of the underlying ODE. As an application of this invariant manifold result sharp bounds on the g

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e0ef92821478b16968ef724e56638dc
https://hdl.handle.net/20.500.11850/146090

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Attractive invariant manifolds for maps: Existence, smoothness and continuous dependence on the map

Autor: Nipp, Kaspar, Stoffer, Daniel

Publikováno v: SAM Research Report, 1992-11

A global invariant manifold result for maps is derived with conditions that are easy to verify for applications. The result supplies existence and smoothness of the attractive manifold as well as additional useful properties. It is also shown that a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a4b7727afc033cf9d3973b6ab94ade8
https://hdl.handle.net/20.500.11850/145746

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