E-Book Overview
This book is not just about math or computing or applications, but about all three-in other words, computational science. Each section of the first six chapters is motivated by a specific application. The author applies a model, selects a numerical method, implements computer simulations, and assesses the results. These chapters include an abundance of MATLAB code. The last four chapters focus on multiprocessing algorithms implemented using message passing interface (MPI). These chapters include Fortran 9x codes and revisit the applications of the previous chapters from a parallel implementation perspective. MATLAB, Fortran, and C++ codes are available for download from the Internet.
E-Book Content
COMPUTATIONAL MATHEMATICS Models, Methods, and Analysis with MATLAB and MPI © 2004 by Chapman & Hall/CRC COMPUTATIONAL MATHEMATICS Models, Methods, and Analysis with MATLAB and MPI ROBERT E. WHITE CHAPMAN & HALL/CRC A CRC Press Company Boca Raton London New York Washington, D.C. © 2004 by Chapman & Hall/CRC Library of Congress Cataloging-in-Publication Data White, R. E. (Robert E.) Computational mathematics : models, methods, and analysis with MATLAB and MPI / Robert E. White. p. cm. Includes bibliographical references and index. ISBN 1-58488-364-2 (alk. paper) 1. Numerical analysis. 2. MATLAB. 3. Computer interfaces. 4. Parallel programming (Computer science) I. Title. QA297.W495 2003 519.4—dc21 2003055207 This book contains information obtained from authentic and highly regarded sources. Reprinted material is quoted with permission, and sources are indicated. A wide variety of references are listed. Reasonable efforts have been made to publish reliable data and information, but the author and the publisher cannot assume responsibility for the validity of all materials or for the consequences of their use. N