Computing for Numerical Methods Using Visual C++

Computing for Numerical Methods Using Visual C++ has been written to promotethe use of Visual C++ in scientific computing. C++ is a beautiful language thathas contributed to shaping the modern world today. The language has contributedto many device drivers in electronic equipment, as a tool in the development ofmany computer software programs, and as a tool for both research and teaching.Therefore, its involvement in providing the solution for numerical methods is verymuch expected.
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Computing for Numerical Methods Using Visual C++ COMPUTING FORNUMERICAL METHODSUSING VISUAL C++Shaharuddin SallehUniversiti Teknologi MalaysiaSkudai, Johor, MalaysiaAlbert Y. ZomayaUniversity of SydneySydney, New South Wales, AustraliaSakhinah Abu BakarNational University of MalaysiaBangi, Selangor, MalaysiaCOMPUTING FORNUMERICAL METHODSUSING VISUAL C++COMPUTING FORNUMERICAL METHODSUSING VISUAL C++Shaharuddin SallehUniversiti Teknologi MalaysiaSkudai, Johor, MalaysiaAlbert Y. ZomayaUniversity of SydneySydney, New South Wales, AustraliaSakhinah Abu BakarNational University of MalaysiaBangi, Selangor, MalaysiaCopyright C 2008 by John Wiley & Sons, Inc. All rights reservedPublished by John Wiley & Sons, Inc., Hoboken, New JerseyPublished simultaneously in CanadaNo part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form orby any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except aspermitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the priorwritten permission of the Publisher, or authorization through payment of the appropriate per-copy fee tothe Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax(978) 750-4470, or on the web at www.copyright.com. Requests to the Publisher for permission shouldbe addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken,NJ 07030, (201) 748-6011, fax (201) 748-6008, or online at http://www.wiley.com/go/permission.Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their bestefforts in preparing this book, they make no representations or warranties with respect to the accuracyor completeness of the contents of this book and specifically disclaim any implied warranties ofmerchantability or fitness for a particular purpose. No warranty may be created or extended by salesrepresentatives or written sales materials. The advice and strategies contained herein may not be suitablefor your situation. You should consult with a professional where appropriate. Neither the publisher norauthor shall be liable for any loss of profit or any other commercial damages, including but not limited tospecial, incidental, consequential, or other damages.For general information on our other products and services or for technical support, please contact ourCustomer Care Department within the United States at (800) 762-2974, outside the United States at(317) 572-3993 or fax (317) 572-4002.Wiley also publishes its books in a variety of electronic formats. Some content that appears in print maynot be available in electronic formats. For more information about Wiley products, visit our web site atwww.wiley.com.Wiley Bicentennial Logo: Richard J. PacificoLibrary of Congress Cataloging-in-Publication Data:Salleh Shaharuddin, 1956- Computing for numerical methods using Visual c++ / by Shaharuddin Salleh, Albert Y. Zomaya, Sakhinah Abu Bakar. p. cm. – (Wiley series on parallel and distributed computing) Includes index. ISBN 978-0-470-12795-7 (cloth) 1. Microsoft Visual C# .NET. 2. Numerical analysis–Data processing.I. Zomaya, Albert Y. II. Bakar, Sakhinah Abu, 1982– III. Title. QA76.73.C154S28 2007 005.2 768–dc22 2007023224Printed in the United States of America10 9 8 7 6 5 4 3 2 1 To our families,for their help, courage, support, and patience. TRADEMARKSMicrosoft is the trademark of Microsoft Corporation Redmond, WA.Visual Studio and Visual Studio.Net are the trademarks of Microsoft Corporation.Visual C++ and Visual C++.Net are the trademarks of Microsoft Corporation.Microsoft Foundation Classes is the trademark of Microsoft Corporation.Matlab is the trademark of The Mathworks, Inc., Natick, MA.Maple is the trademark of Waterloo Maple, Inc., Waterloo, Ontario, Canada.Mathematica is the trademark of Wolfram Research, Inc., Champaign, IL. vii CONTENTSPreface xiiiCodes for Download xvii1. Modeling and Simulation 1 1.1 Numerical Approximation 1 1.2 C++ for Numerical Modeling 3 1.3 Mathematical Modeling 4 1.4 Simulation and Its Visualization 6 1.5 Numerical Methods 7 1.6 Numerical Applications 72. Fundamental Tools for Mathematical Computing 13 2.1 C++ for High-Performance Computing 13 2.2 Dynamic Memory Allocation 14 2.3 Matrix Reduction Problems ...