... equation (19.1 .20 ) is
r
n+1
j+1 /2
− r
n
j+1 /2
∆t
=
s
n+1 /2
j+1
− s
n+1 /2
j
∆x
s
n+1 /2
j
− s
n−1 /2
j
∆t
= v
r
n
j+1 /2
− r
n
j −1 /2
∆x
(19.1.35)
If you substitute equation (19.1 .22 ) in equation ... amplification factor for equation (19 .2. 4) is
ξ =1−
4D∆t
(∆x)
2
sin
2
k∆x
2
(19 .2. 5)
The requirement |ξ|≤1leads to the stability criterion
2D∆t
(∆x)
2
≤ 1(19 .2. 6)...
... IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 )
Copyright (C) 198 8-1 9 92 by Cambridge University Press.Programs Copyright (C) 198 8-1 9 92 by Numerical Recipes Software.
Permission is ... classical fourth-order Runge-Kutta formula,
which has a certain sleekness of organization about it:
k
1
= hf(x
n
,y
n
)
k
2
=hf(x
n
+
h
2
,y
n
+
k
1
2
)
k
3
=hf(x
n
+...
... spelled -s. Here are examples of all the consonant
sounds that this rule applies to:
/p/ cap-caps; cop-cops; snap-snaps; shape-shapes; hope-hopes
/t/ hat-hats; boat-boats; beast-beasts; fate-fates; ... signi es an incorrect choice or answer.
(i-viiiB,00 1-3 28 B) whl bk.indd 4 3/16/09 12: 33:53 PM
Noun Phrases
PART 1
(i-viiiB,00 1-3 28 B) whl bk.indd 1 3/16/09 12: 33:53 PM
... capi...
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