E-Book Overview
A much-needed guide on how to use numerical methods to solve practical engineering problems
Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret results.
Each chapter is devoted to a unique analytical methodology, including a detailed theoretical presentation and emphasis on practical computation. Ample numerical examples and applications round out the discussion, illustrating how to work out specific problems of mechanics, physics, or engineering. Readers will learn the core purpose of each technique, develop hands-on problem-solving skills, and get a complete picture of the studied phenomenon. Coverage includes:
- How to deal with errors in numerical analysis
- Approaches for solving problems in linear and nonlinear systems
- Methods of interpolation and approximation of functions
- Formulas and calculations for numerical differentiation and integration
- Integration of ordinary and partial differential equations
- Optimization methods and solutions for programming problems
Numerical Analysis with Applications in Mechanics and Engineering is a one-of-a-kind guide for engineers using mathematical models and methods, as well as for physicists and mathematicians interested in engineering problems.Content: Chapter 1 Errors in Numerical Analysis (pages 1–15): Chapter 2 Solution of Equations (pages 17–53): Chapter 3 Solution of Algebraic Equations (pages 55–110): Chapter 4 Linear Algebra (pages 111–271): Chapter 5 Solution of Systems of Nonlinear Equations (pages 273–306): Chapter 6 Interpolation and Approximation of Functions (pages 307–376): Chapter 7 Numerical Differentiation and Integration (pages 377–449): Chapter 8 Integration of Ordinary Differential Equations and of Systems of Ordinary Differential Equations (pages 451–527): Chapter 9 Integration of Partial Differential Equations and of Systems of Partial Differential Equations (pages 529–576): Chapter 10 Optimizations (pages 577–627):
E-Book Content
NUMERICAL ANALYSIS WITH APPLICATIONS IN MECHANICS AND ENGINEERING NUMERICAL ANALYSIS WITH APPLICATIONS IN MECHANICS AND ENGINEERING PETRE TEODORESCU ˘ NICOLAE-DORU STANESCU NICOLAE PANDREA Copyright 2013 by The Institute of Electrical and Electronics Engineers, Inc. Published by John Wiley & Sons, Inc., Hoboken, New Jersey. All rights reserved Published simultaneously in Canada No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the 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 should be 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 best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or compl