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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
Mathematical and Statistical Aspects of Inverse Problems 83
0 5 10 15 20 25
0
2
4
6
8
10
12
14
16
18
Time
True Model
True Solution vs. Time
3 4 5 6 7 8 9 10 11 12 13
0
2
4
6
8
10
12
14
16
18
Time
Truncated True Model
Truncated True Solution vs. Time
FIGURE 3.1: Original and truncated logistic curve with K = 17.5, r = 0.7
and x
0
= 0.1.
nearly repeated va lue s (i.e., near the initial value x
0
or near the asymptote
x = K) are removed from the original plot, the resulting truncated plot is
given in the right panel of Figure 3.1 (there are no nea r zero values for this
function).
For this example we generated both CV and NCV noisy data (we sampled
from N(0, 25 × 10
4
) distributed
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Publisher Resources

ISBN: 9781482206432