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Published in:
2021 | OriginalPaper | Chapter
20. Adaptive Time Stepping
Author : Tobias Weinzierl
Published in: Principles of Parallel Scientific Computing
Publisher: Springer International Publishing
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Abstract
The discussion around A-stability makes it clear that ODE integrators are very sensitive w.r.t. time step choices. Some simple thought experiments illustrate that a fixed time step size for a whole simulation often is inappropriate. We sketch one simple multiscale approach to guide h-adaptivity (adaptive time step choices) and one simple p-adaptivity strategy.