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Numerical Methods in Engineering with Python

Numerical

Methods

Engineering

Python

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Numerical Methods in Engineering with Python Cambridge University Press Jaan Kiusalaas The Pennsylvania State University

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CB904-FM CB904/Kiusalaas 0 521 85287 0 May 23, 2005 19:15

Numerical Methods in Engineering with Python

Numerical Methods in Engineering with Python is a text for engineer-

ing students and a reference for practicing engineers, especially those

who wish to explore the power and efﬁciency of Python. The choice of

numerical methods was based on their relevance to engineering prob-

lems. Every method is discussed thoroughly and illustrated with prob-

lems involving both hand computation and programming. Computer

code accompanies each method and is available on the book web site.

This code is made simple and easy to understand by avoiding complex

book-keeping schemes, while maintaining the essential features of the

method Python was chosen as the example language because it is ele-

gant, easy to learn and debug, and its facilities for handling arrays are

unsurpassed. Moreover, it is an open-source software package that can

be downloaded freely on the web. Python is a great language for teaching

scientiﬁc computation.

Jaan Kiusalaas is a Professor Emeritus in the Department of Engineer-

ing Science and Mechanics at the Pennsylvania State University. He has

taught computer methods, including ﬁnite element and boundary ele-

ment methods, for over 30 years. He is also the co-author of four other

books—EngineeringMechanics:Statics, EngineeringMechanics:Dynam-

ics, Mechanics of Materials, and an alternate version of this work with

MATLAB

code.

P1: KIC

CB904-FM CB904/Kiusalaas 0 521 85287 0 May 23, 2005 19:15

P1: KIC

CB904-FM CB904/Kiusalaas 0 521 85287 0 May 23, 2005 19:15

NUMERICAL METHODS IN

ENGINEERING WITH

Python

Jaan Kiusalaas

The Pennsylvania State University

iii

  

Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo

Cambridge University Press

The Edinburgh Building, Cambridge  ,UK

First published in print format

- ----

- ----

2005

Information on this title: www.cambrid

e.or

/9780521852876

This publication is in copyright. Subject to statutory exception and to the provision of

relevant collective licensing agreements, no reproduction of any part may take place

without the written permission of Cambridge University Press.

- ---

- ---

Cambridge University Press has no responsibility for the persistence or accuracy of s

for external or third-party internet websites referred to in this publication, and does not

guarantee that any content on such websites is, or will remain, accurate or appropriate.

Published in the United States of America by Cambridge University Press, New York

www.cambridge.org

hardback

eBook (NetLibrary)

hardback

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Contents

Preface.........vii

1.IntroductiontoPython..............................1

2.SystemsofLinearAlgebraicEquations

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

3.InterpolationandCurveFitting

.....................103

4.RootsofEquations

...................................142

5.NumericalDifferentiation

...........................181

6.NumericalIntegration

...............................198

7.InitialValueProblems

...............................248

8.Two-PointBoundaryValueProblems

...............295

9.SymmetricMatrixEigenvalueProblems

............324

10.IntroductiontoOptimization

.......................381

Appendices....409

Index...........419

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