文档介绍：PARTIAL
DIFFERENTIAL
EQUATIONS
(Second Edition)
An Introduction with Mathernatica
and MAPLE
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PARTIAL
DIFFERENTIAL
EQUATIONS (Scond Edition)
An Introduction with Mathematica
and MAPLE
Ioannis P Stavroulakis
University of Ioannina, Greece
Stepan A Tersian
University of Rozousse, Bulgaria
WeWorld Scientific
NEW JERSEY 6 LONDON * SINGAPORE * BElJlNG SHANGHAI * HONG KONG * TAIPEI CHENNAI
Published by
World Scientific Publishing Co. Re. Ltd.
5 Toh Tuck Link, Singapore 596224
USA ofice: Suite 202, 1060 Main Street, River Edge, NJ 07661
UK ofice: 57 Shelton Street, Covent Garden, London WC2H 9HE
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
PARTIAL DIFFERENTIAL EQUATIONS
An Introduction with Mathematica and Maple (Second Edition)
Copyright 0 2004 by World Scientific Publishing Co. Re. Ltd.
All rights reserved. This book or parts thereoj may not be reproduced in anyform or by any means,
electronic or mechanical, including photocopying, recording or any information storage and retrieval
system now known or to be invented, without written permission from the Publisher.
For photocopying of material in this volume, please pay a copying fee through the Copyright
Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to
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ISBN 981-238-815-X
Printed in Singapore.
To our wives
ia and Mariam
and our children
Petros, Maria-Christina and Ioannis
and
Takuhi and Lusina
Preface
In this second edition the section “Weak Derivatives and Weak Solutions”
was removed to Chapter 5 to be together with advanced concepts such as
discontinuous solutions of nonlinear conservation laws. The figures were re-
arranged, many points in the text were improved and the errors in the first
edit ion were corrected.
Many th