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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
344 Modeling and Inverse Problems in the Presence of Uncertainty
coefficients (λ
6
, λ
12
, λ
13
, λ
14
, λ
15
, λ
17
, λ
18
, λ
19
). Hence, for this model the
values of ̟
i
, i = 1, 2, . . . , 7 , are not just one or two. Next we will give a de-
tailed discussion on how to obtain these values. Note that the values of ̟
i
, i =
1, 2, . . . , 7, should be chosen such that |λ
j
(x
M
)| ǫλ
j
(x
M
) at least to the
first-order approximation for all j = 1, 2, . . . , 19, where λ
j
(x
M
) = λ
j
(x
M
+
x
M
)λ
j
(x
M
), with x
M
being the absolute changes in the state variable s,
j = 1, 2, . . . , 19 . Hence, the important thing is to find the conditions such that
the relative changes in those
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Publisher Resources

ISBN: 9781482206432