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Library of Congress Cataloging-in-Publication Data

Trefethen, Lloyd N. (Lloyd Nicholas)
Spectral methods in MATLAB/Lloyd N. Trefethen.
p. cm. (Software, environments, tools)
Includes bibliographical references and index.

(pbk.)
1. Differential equations, Partial Numerical solutions Data processing.
2. Spectral theory (Mathematics) 3. MATLAB. I. Title. II. Series.

QA377.T65 2000
515 ?.7222 dc21

00-036559

Download the programs from http://www.comlab.ox.ac.uk/oucl/work/nick.trefethen.

Start up MATLAB.

Run p1, p2, p3, .

Happy computing!

To Anne

Acknowledgments

I must begin by acknowledging two special colleagues who have taught me a great deal about spectral methods over the years. These are Andr Weideman, of the University of Stellenbosch, coauthor of the "MATLAB Differentiation Matrix Suite" [WeRe00], and Bengt Fornberg, of the University of Colorado, author of A Practical Guide to Pseudospectral Methods [For96]. These good friends share my enthusiasm for simplicity and my enjoyment of the occasional detail that refuses to be simplified,...