Corrections and additions (changes in black)
Red: changes already included in the second printing
Blue: additional changes/errors for the second printing
pXV (acknowledgments), four lines from the bottom,
add Shu-Chih Yang and:
Shu-Chih Yang and Matteo…
Chapter 1
p29 last line 2nd para: Szunyogh
Chapter 2
P34 last line, add “dry” and one
sentence:
…gas constant for dry air.
For moist air this has to take into account the partial pressure of moist air,
usually done by defining the virtual temperature
, i.e., the dry air temperature having the same density as
moist air at the same pressure. This equation indicates…
p36
(2.2.1a) ui/r
Exercise 2.2.1: Use spherical geometry to show (2.2.1a). Derive
, and
(2.2.2). (The second formula needs
to be corrected, thanks to Kara Sedwick)
P39, Exercise 2.3.1, second line, replace p0
by 1000hPa: 
P41, lines 4 and 5, cs should not be
squared:
line 4
line 5
P42, line 4, replace 
with
p42 (2.3.13)
- sign
p45: note that the – sign
in the second term of eq (2.3.22) is correct
Unfortunately, it was changed to
plus in the second and third printings: it should be minus! Thanks to Mikel Lezaun Iturralde
p46 Fig. 2.3.2 caption: Schematic
of density weighted internal (vertically propagating) waves. Add “density
weighted”
p49 before (2.4.3) change to
and letting
, (with
)
p50 change the last line
letting
, (with
)
In (2.4.4)
- sign on the first term of (2.4.4)
p51 eq (2.4.6) last term in the
denominator should be
, not 
p53 table (2.4.1)
add new line after f
|
Rossby (20hpa) |
……………………… |
Constant f (b = 0) |
p54 (2.5.2) add minus sign
P55 last line: replace (2.3.26)
with (2.4.6)
P56 second line …Lamb waves (2.4.5) if we define… (add (2.4.5))
p57 (2.5.17b) should be –fu (not plus)
p57 Sentence after (2.5.17d)
should be
taking the x-derivative of (2.5.17b) minus the y-derivative of (2.5.17a). (x and y should be exchanged)
p58, Exercise (2.5.4), add: in
(2.5.22). How will this change the FDR (2.5.21)?
p58, Exercise (2.5.5), change
to: Estimate the initial time derivative for typical values of the horizontal
wavenumber (L=2000km, 8000km), that Richardson would have
observed, i.e., compare the frequency 
for the external (barotropic, H~10km) mode for
inertia-gravity waves and for Rossby waves.
Chapter 3
P68 replace first equation with
P73, eq (3.2.5) replace 
with 
p76 two lines after (3.2.8):
the truncation error is first
order in time and second order in space
less or equal
p79 Figure 3.2.3: replace with
the new Fig. 3.2.3 at the end of this list
Also, the last line of the Figure 3.2.3 legend
should be
; 
is the wavelength in units of
;
, and
.
p80 Change the first line to
wavenumber
, using a Courant number
, a typical value for advection given the presence of fast
gravity waves.
P80 two lines below (3.2.25). Replace “real” with
“positive”
P85, last sentence, at
the point 
(change
– to + sign in the subindex)
p89 (3.2.52) change 1/delta to
2/delta t
p90 (3.2.53) add squares to the
lhs terms
p93, equation above (3.3.12): drop one of the imaginary “i” and drop the prime on c’
p94,second line change to
p95, last equation (3.3.19), add
a minus sign to the right hand side
p105 (3.3.35) add a comma on the
first term and a 2 to the denominators
p106: Eq (3.3.9) Omit the 2 in
the denominators
p108
After first paragraph, add
Exercise 3.3.8: derive the finite difference equivalent of J1, J2 and J3.
p118, equations (3.4.20) and
(3.4.21)
Replace 
by 
Chapter 5
p145 line 5: prior
in italics
p148 (5.3.21) change subindex b
to a in two terms
p153
In the last line of eq (5.4.9)
the first term should have 
not 
(thanks to Alberto P. Costa Neves)
drop minus sign in eq after
(5.4.9)
p172 (5.5.13) replace + with =
P174, 3rd line: …are
uncorrelated and have equal variance.
4th line: HBH should
be HBHT
p184, last line at the end of
section 5.6.3: add a sentence:
and Courtier, 1995, Cohn and Todling, 1996). 4D-Var has been successfully implemented at ECMWF and at MeteoFrance, and has resulted in improved forecast scores attributed principally to the fact that observations are assimilated at the time they were made, rather than at the analysis time.
P 217, eq (6.3.25): the terms in
the first two sums should be squared
P226, first formula, replace with
p226 First line of the last paragraph change order of words
with two Lyapunov vectors growing with rates
p234 [Adapted from IPCC (2002)] should be on plate 4, not plate 3
Plate 3 …….. [Adapted from IPCC (2002)]
Plate 4
(b) the blue ……… proxy data. [Adapted from IPCC (2002)]
p268 (B.1.24)
p268 (B.1.26) three corrections,
a, b, c:
a) Move the last 3 paragraphs on p268 and first paragraph of p269 to the end of the program code on p268. The title of this new subsection is B.1, and make Example
of FORTRAN code subsection B.2. It should look like:
ADZ=0.0
B.1 Verification
Finally, we discuss…
.
.
.
b) drop the * on the rhs
.
c) drop the * on the rhs
B.2 Example of FORTRAN CODE
.
.
.
p301 Houtekamer and Mitchell 2001
reference: replace pages 796-911 with
123-137.
New figure 3.2.3:
