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Solving PDE in C++： Numerical Methods in a Unified Object-Oriented Approach

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ThisbookteachesC++andusesittosolvepartialdifferentialequations(PDEs). Basic and advanced numerical methods are introduced and implemented easily and efficiently in a unified object-oriented approach. The powerful features and advanced tools available in C++ are particularly useful for implementing the complex mathematical objects that are often used in numerical modeling. The code segments and their detailed explanations show how easy it is to implement advanced algorithms such as finite elements and multigrid.
Solving PDEs in C++ Numerical methods in a Unified Object-Oriented Approach Yair shapira Technion-Israel Institute of Technology Haifa. isra SHIL Society for Industrial and Applied Mathematics Philadelphia Copyright o 2006 by the Society for Industrial and Applied Mathematics 1098765432 All rights reserved. Printed in the United States of America. No part of this book may be reproduced, stored, or transmitted in any manner without the written permission of the publisher. For information, write to the Society for Industrial and Applied Mathematics, 3600 University City Science Center, Philadelphia, PA I9104-2688 The examples represented in this book have been included for their instructional value They have been tested with care but are not guaranteed for any particular purpose. The publisher does not offer any warranties or representations, nor does it accept any liabilities with respect to use of the examples MATLAB is a registered trademark of The Math Works, Inc. and is used with permission The Math Works does not warrant the accuracy of the text or exercises in this book This book,s use or discussion of MatLAb software or related products does not constitute endorsement or sponsorship by The Math Works of a particular pedagogical approach or particular use of the MATLAB software For MATLAB information, contact The Math Works, 3 Apple Hill Drive, Natick, MA 0I760-2098 USA, Tel: 508-647-7000, Fax: 508-647-700 info@mathworks.com,www.mathworks.com Windows is a registered trademark of Microsoft Corporation in the United States and/or other countries Library of Congress Cataloging-in-Publication Data Shapira, Yair, 1960 Solving PDEs in C++: numerical methods in a unified object-oriented approach /Yair Shapira Pcm-(Computational science and engineering Includes bibliographical references and index ISBN 0-89871-601-2(pbk: alk. paper) I Differential equations, Partial. 2. C++(Computer program language)3 Object-oriented programming(Computer science)I Title: Solving partial differential equations in C++. ll Title. Ill. Series QA377.4662006 5|8’.6402855|33-dc22 2005054086 Partial royalties from the sale of this book are placed in a fund to help students attend sIAM meetings and other SIAM-related activities this fund is administered by SIAm, and qualified individuals are encouraged to write directly to SlAM for guidelines is a registered trademark Contents Contents Contents Contents Contents Contents

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