文档介绍:NUMERICAL SOLUTION
OF PARTIAL DIFFERENTIAL
EQUATIONS IN SCIENCE
AND ENGINEERING
NUMERICAL SOLUTION
OF PARTIAL DIFFERENTIAL
EQUATIONS IN SCIENCE
AND ENGINEERING
LEON LAPIDUS
E F. PINDER
University of Vermont
A Wiley-Interscience Publication
JOHN WILEY & SONS, INC.
New York · Chichester · Weinheim · Brisbane · Singapore · Toronto
This text is printed on acid-free paper. ®
Copyright Ο 1999 by John Wiley & Sons, Inc. All rights reserved.
Published simultaneously in Canada.
No part of this publication may be reproduced, stored in a retrieval system or transmitted in any
form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise,
except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without
either the prior written permission of the Publisher, or authorization through payment of the
appropriate per-copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA
01923, (978) 750-8400, fax (978) 750-4744. Requests to the Publisher for permission should be
addressed to the Permissions Department, John Wiley & Sons, Inc., 605 Third Avenue, New York,
NY 10158-0012, (212) 850-6011, fax (212) 850-6008, E-Mail: PERMREQ @ .
For ordering and customer service, call 1-800-CALL-WILEY.
Library of Congress Cataloging in Publication Data:
Lapidus, Leon.
Numerical solution of partial differential
equations in science and engineering.
"A Wiley-Interscience publication."
Includes index.
1. Science—Mathematics. 2. Engineering.
mathematics. 3. Differential equations, Partial—
Numerical solutions. I. Pinder, e Francis,
1942- II. Title.
'53 81-16491
ISBN 0-471-09866-3 AACR2
ISBN 0-471-35944-0 (paperback)
10 9876543
Preface
This book was written to provide a text for graduate and undergraduate
students who took our courses in numerical methods. It incorporates the
essential elements of all the numerical metho