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Modeling and Inverse Problems in the Presence of Uncertainty
book

Modeling and Inverse Problems in the Presence of Uncertainty

by H. T. Banks, Shuhua Hu, W. Clayton Thompson
April 2014
Intermediate to advanced content levelIntermediate to advanced
405 pages
13h
English
Chapman and Hall/CRC
Content preview from Modeling and Inverse Problems in the Presence of Uncertainty
324 Modeling and Inverse Problems in the Presence of Uncertainty
the s et of critical transitions by
J
cr
= {j {1, 2, . . . , l} | the jth transition is a critical one},
and the set of non-critica l ones by
J
ncr
= {j {1, 2, . . . , l}| the jth transition is a non-critical one}.
S3. Compute t
1
according to the following formula:
t
1
= min
{1in}
(
max {ǫx
i
i
, 1}
|ˆµ
i
(x)|
,
max {ǫx
i
i
, 1}
2
ˆσ
2
i
(x)
)
, (8.22)
where ǫ is the error control parameter (in our calculations below, we set
ǫ = 0.03), ̟
i
is chosen such that the relative changes in all the transition
rates will be bounded by ǫ at least to the first-order approximation (as
described in the text), and
ˆµ
i
(
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Publisher Resources

ISBN: 9781482206432