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Problem
of Multiple Scales
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Spatial simulations often
involve processes at multiple scales.
Some problems can be partitioned
into:
-
system of nested
models:
fine
----> coarse
models
on coarse scale incorporate smoothed-out/averaged effects from finer scales
-
effective embedings:
coarse ----->
fine
results
from coarse scale determine boudary/external conditions for fine scales
Difficulties:
-
nonlinear/unstable
systems - small perturbation can overtake entire system
-
fluctuations
over large range of scales - self organized criticality
