Solving_PDEs_in_C++.pdf

Solving PDEs in C++

COMPUTATIONAL SCIENCE & ENGINEERING

Computational Science and Engineering (CS&E) is widely accepted, along with theory and experiment,

as a crucial third mode of scientific investigation and engineering design. This series publishes research

monographs, advanced undergraduate- and graduate-level textbooks, and other volumes of interest to a

wide segment of the community of computational scientists and engineers.The series also includes volumes

addressed to users of CS&E methods by targeting specific groups of professionals whose work relies

extensively on computational science and engineering.

Editor-in-Chief

Omar Ghattas

University of Texas–Austin

Editorial Board

David Keyes, Associate Editor

Columbia University

Kim Baldridge

San Diego State University and

University of Zurich

Lori Freitag Diachin

Lawrence Livermore National Laboratory

Charbel Farhat

University of Colorado–Boulder

James Glimm

SUNY–Stony Brook

Teresa Head-Gordon

University of California–Berkeley and

Lawrence Berkeley National Laboratory

Rolf Jeltsch

ETH Zurich

Chris Johnson

University of Utah

Laxmikant Kale

University of Illinois

Jelena Kovacevic

Carnegie Mellon University

Habib Najm

Sandia National Laboratory

Alan Needleman

Brown University

Alex Pothen

Old Dominion University

Mary Wheeler

University of Texas–Austin

Series Volumes

Shapira,Yair, Solving PDEs in C++ : Numerical Methods in a Unified Object-Oriented Approach

Solving PDEs in C++

Numerical Methods in a

Unified Object-Oriented Approach

Yair Shapira

Technion–Israel Institute of Technology

Haifa, Israel

10 9 8 7 6 5 4 3 2 1

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 19104-2688.

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 MathWorks, Inc. and is used with permission.

The MathWorks 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 MathWorks of a particular pedagogical approach or

particular use of the MATLAB software. For MATLAB information, contact The MathWorks,

3 Apple Hill Drive, Natick, MA 01760-2098 USA,Tel: 508-647-7000, Fax: 508-647-7001

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.

p. cm. — (Computational science and engineering)

Includes bibliographical references and index.

ISBN 0-89871-601-2 (pbk. : alk. paper)

1. Differential equations, Partial. 2. C++ (Computer program language) 3.

Object-oriented programming (Computer science) I.Title: Solving partial differential

equations in C++. II.Title. III. Series.

QA377.S466 2006

518’.64’02855133—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 SIAM for

guidelines.

Contents

List of Figures

xiii

List of Tables

xxi

Preface

xxiii

Programming

Introduction to C

1.1

Variables and Types

...........................

1.2

Assignment

...............................

1.3

Initialization ...............................

1.4

Conversion ................................

1.5

Arithmetic Operations ..........................

1.6

Functions ................................. 11

1.7

Printing Output

............................. 13

1.8

Conditions ................................ 14

1.9

Scope of Variables ............................ 15

1.10

Loops

.................................. 17

1.11

Examples with Loops

.......................... 19

1.12

Example: Reversed Integer

....................... 20

1.13

Pointers

................................. 22

1.14

Arrays

.................................. 23

1.15

Passing Arguments to Functions ..................... 24

1.16

I/O

.................................... 25

1.17

Recursion

................................ 26

1.18

Example: Binary Representation

.................... 27

1.19

Example: Pascal’s Triangle

....................... 29

1.20

Example: Local Maximum

....................... 30

1.21

Example: Arithmetic Expression

.................... 36

1.22

Example: The Exponent Function .................... 40

1.23

Exercises ................................. 43

Plik z chomika:

Inne pliki z tego folderu:

Inne foldery tego chomika: