Computational modeling of dynamical systems
Artikel i vetenskaplig tidskrift, 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

Modeling

Automation

Författare

Johan Jansson

Chalmers, Tillämpad mekanik, Beräkningsteknik

Claes Johnson

Chalmers, Matematiska vetenskaper

Göteborgs universitet

Anders Logg

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Mathematical Models and Methods in Applied Sciences

0218-2025 (ISSN)

Vol. 15 471-481

Ämneskategorier

Matematik

Beräkningsmatematik

DOI

10.1142/S0218202505000431