
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