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arXiv · 1205.2809

Computational Modeling of Dynamical Systems

Johan Jansson·Claes Johnson·Anders Logg
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Abstract

In this short note, we discuss the basic approach to computational modeling of dynamical systems. If a dynamical system contains multiple time scales, ranging from very fast to slow, computational solution of the dynamical system can be very costly. By resolving the fast time scales in a short time simulation, a model for the effect of the small time scale variation on large time scales can be determined, making solution possible on a long time interval. This process of computational modeling can be completely automated. Two examples are presented, including a simple model problem oscillating at a time scale of 1e-9 computed over the time interval [0,100], and a lattice consisting of large and small point masses.

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Johan Jansson, Claes Johnson, Anders Logg. 2012-05-12. Computational Modeling of Dynamical Systems. https://doi.org/10.1142/s0218202505000431

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