Computational modeling of dynamical systems
Journal article, 2005

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 10-9 computed over the time interval [0, 100], and a lattice consisting of large and small point masses. © World Scientific Publishing Company.

Dynamical system

Reduced model




Johan Jansson

Chalmers, Applied Mechanics, Computational Technology

Claes Johnson

Chalmers, Mathematical Sciences

University of Gothenburg

Anders Logg

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Mathematical Models and Methods in Applied Sciences

0218-2025 (ISSN)

Vol. 15 3 471-481

Subject Categories


Computational Mathematics



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