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Computational modeling of dynamical systems

Johan Jansson (Institutionen för tillämpad mekanik, Beräkningsteknik) ; Claes Johnson (Institutionen för matematiska vetenskaper) ; Anders Logg (Institutionen för matematiska vetenskaper, matematik)
Mathematical Models and Methods in Applied Sciences (0218-2025). Vol. 15 (2005), 3, p. 471-481.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Automation , Dynamical system , Modeling , Reduced model



Denna post skapades 2014-01-05. Senast ändrad 2014-09-29.
CPL Pubid: 191157

 

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Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Beräkningsteknik (2005-2006)
Institutionen för matematiska vetenskaperInstitutionen för matematiska vetenskaper (GU)
Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik
Beräkningsmatematik

Chalmers infrastruktur