xvi Sp ectral Methods in M
ATLAB
Carlisle of NAG, Ltd., one of the authors of L
A
T
E
X2
"
,showed me how to make
blank lines in
Matlab
programs come out a little bit shortened when included
as verbatim input, saving precious centimeters for display of gures. Walter
Gautschi and Sotiris Notaris informed me ab out matters related to Clenshaw{
Curtis quadrature, and Jean-Paul Berrut and Richard Baltensp erger taught
me ab out rounding errors in sp ectral dierentiation matrices.
A number of other colleagues commented up on drafts of the book and
improved it. I am esp ecially grateful to John Boyd, Des Higham, Nick Higham,
Alvaro Meseguer, Paul Milewski, Damian Packer, and Satish Reddy.
In a category by himself go es Mark Embree, who has read this b o ok more
carefully than anyone else but me, by far. Embree suggested many improve-
ments in the text, and b eyond that, he worked many of the exercises, catching
errors and contributing new exercises of his own. I am lucky to have caught
Embree at a stage of his career when he still has so much time to give to
others.
The Numerical Analysis Group here at Oxford provides a stimulating envi-
ronment to supp ort a pro ject likethis. I want particularly to thank my three
close colleagues Mike Giles, Endre Suli, and Andy Wathen, whose friendship
has made me glad I came to Oxford; Shirley Dickson, who cheerfully made
multiple copies of drafts of the text half a dozen times on short notice; and our
outstanding group secretary and administrator, Shirley Day, who will forgive
me, I hop e, for all the mornings I sp ent working on this book when I should
have been doing other things.
This book started out as a joint pro duction with Andrew Spratley, a
D. Phil. student, based on a masters-level course I taught in 1998 and 1999.
I want to thank Spratley for writing the rst draft of many of these pages
and for ma jor contributions to the b o ok's layout and gures. Without his
imp etus, the b o ok would not have been written.
Finally, sp ecial thanks for their encouragementmust go to mytwofavorite
younger mathematicians, Emma (8) and Jacob (6) Trefethen, who know how
Ilove dierential equations,
Matlab
, and writing. I'm the sort of writer who
p olishes successive drafts endlessly, and the children are used to seeing me sit
down and cover achapter with marks in red p en. Jacob likes to tease me and
ask, \Did you nd more mistakes in your b o ok, Daddy?"
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