COMPUTATIONAL MODELING OF DYNAMICAL SYSTEMS
2005 ◽
Vol 15
(03)
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pp. 471-481
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Keyword(s):
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.
2012 ◽
Vol 7
(1)
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pp. 8
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2021 ◽
Keyword(s):
2008 ◽
pp. 305-315
Keyword(s):
2020 ◽
Keyword(s):
2015 ◽
Vol 14
(03)
◽
pp. 1550031
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Keyword(s):
2021 ◽
Keyword(s):
2015 ◽
Vol 13
(4)
◽
pp. 1194-1223
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Keyword(s):