Computational modeling of dynamical systems
2005 (English)In: Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, Vol. 15, no 3, 471-481 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2005. Vol. 15, no 3, 471-481 p.
modeling, dynamical system, reduced model, automation
IdentifiersURN: urn:nbn:se:kth:diva-14652ISI: 000228107100006OAI: oai:DiVA.org:kth-14652DiVA: diva2:332693
QC 201005252010-08-052010-08-05Bibliographically approved