Introduction to Numerical Methods and MATLAB: Implementations and Applications

Book Description

From the Back Cover: The outstanding pedagogical features of this book are: o use of numerical experiments as a means of learning

why numerical methods work and how they fail; o a separate chapter reviewing the basics of applied

linear algebra, and how computations involving

matrices and vectors are naturally expressed in MATLAB; o use of a range of examples from those that provide a

succinct illustration of a basic algorithm, to those

that develop solutions to substantial problems in

engineering; o consistent use of well-documented and structured code

written in the MATLAB idiom; o a library of general purpose routines—-the NMM

Toolbox-—that are readily applied to new problems; o a progressive approach to algorithm development

leading the reader to an understanding of the more

sophisticated routines in the built-in MATLAB toolbox.

Customer Reviews:

Okay for a text.......2006-03-18

This book is okay for a text book, however there arent many examples, and the examples that are there are very simple. There are solutions for some problems online, though most of them are very basic and don't help very much.

Useful Book.......2004-08-28

This is a nice book for scientists and engineers. There are MATLAB programs already written that you can download from the webpage very easily, and modify for your specific use. I am no programmer, so having programs I can easily modify is a plus. This is meant to only be a review of linear algebra, so if you are trying to learn that subject, you will probably need to supplement this text with another book. This is not terribly in-depth on the MATLAB either. But it is a very useful handbook of plotting and interpolation methods, and how to choose the best methods for your particular set of data.

Numerical Methods for Engineers: With Software and Programming Applications

Average customer rating:

As a textbook?
Chech out paper back international edition. Cheeper and same contents.
Numerical Methods made easy
A excellent book ruined by clutter
Excellent Reference for Numerical Algorithms Programming

Numerical Methods for Engineers: With Software and Programming Applications
Steven C. Chapra , and Raymond Canale
Manufacturer: McGraw-Hill Science/Engineering/Math
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Binding: Hardcover

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ASIN: 0072431938

Book Description

*Retaining its comprehensive yet accessible and user-friendly style, this edition incorporates new examples and techniques *Includes excellent applications sections with a variety of engineering problems *contains software-based examples and engineering-oriented problems

Customer Reviews:

As a textbook?.......2006-10-26

I've noticed several reviewers have benifited from this book as a reference for algorithms in specific topics, which is something the book is really good at in my opinion.

However, we studied the book as a junior level textbook in numerical methods and went into many problems in doing so. Although the motiviation is well, the presentation is not. For example, the parts on Fourier Approximation (Chapter 19), and Finite Difference: Elliptic Equations (Chapter 29) really do require good background knowledge on behalf of the reader, and the authors sometimes rush into the approximation techniques with hardly any explination of the underlying logic.

For undergraduate students, I don't believe this book is good for self-teaching. More elaboration is needed in the derivations of the nemurical techniques, and without that, many of us were lost when it came to homeworks and computer projects.

On the bright side, The graphs are excellent , and the book covers a very wide range of topics and presents many codes and worked out examples.

Chech out paper back international edition. Cheeper and same contents........2006-08-16

Type in search the authers name, Steven C. Chapra, and it will give a list of the books by him. you get the same edition but international in english same figures everything.

Numerical Methods made easy.......2006-02-11

I bought this book a little while ago to get more familiar with interpolation which I need to use in some of the signal analysis software that I write. As I was reading through the book I suddenly realized the overall usefulness of numerical methods in general. It has helped me code up routines for solving matrices and interpolation algorithms. After reading this book I really can not understand how courses in linear algebra and differential equations can be taught without extensive use of numerical methods.

This book has really opened my eyes to a whole new way of solving engineering problems.

Andy (andys@d2d.com)

A excellent book ruined by clutter.......2006-02-05

The basic content of the book is excellent. However, in trying to cover different packages and/or languages the book loses its charm.

This book is a glaring example of how an otherwise excellent textbook can be ruined by clutter. If the authors had stayed with Fortran/C or Matlab (but not both) and provided more of ready made programs or subroutines, it would be a lot more useful.

Excellent Reference for Numerical Algorithms Programming.......2006-02-01

If you are a programmer who must work with calculation intensive algorithms, you will need a book such as this. The chapters are well written and cover many subjects which are easily forgotten when not used often. The section explaining the difference between precision and accuracy is quite good.

Also worthy of personal praise is the suggestion that piecemeal cubic spline approximations more accurately reflect abrupt (zonal) shifts in the data, better than do higher order polynomical approximations.

The book seems to cover most of the subjects that a non-specialist programmer might need, when confronted with a numerical methods prospect. Topics include: matrix reduction, numerical differentiation and integration, truncated series approximations, curve fitting and fast fourier transforms to name a few. It also deals extensively with the nitty-gritty of computing, from bits, bytes and numerical representations; to MatLab, MathCAD, and Fortran.

Computational Methods for Electromagnetics (IEEE Press Series on Electromagnetic Wave Theory)

Average customer rating:

A great book for those with an existing background in EM
Computational Methods for Electromagnetics

Computational Methods for Electromagnetics (IEEE Press Series on Electromagnetic Wave Theory)
Andrew F. Peterson , Scott L. Ray , and Raj Mittra
Manufacturer: Wiley-IEEE Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0780311221

Book Description

Computational Methods for Electromagnetics is an indispensable resource for making efficient and accurate formulations for electromagnetics applications and their numerical treatment. Employing a unified coherent approach that is unmatched in the field, the authors detail both integral and differential equations using the method of moments and finite-element procedures. In addition, readers will gain a thorough understanding of numerical solution procedures.

Topics covered include:

Two- and three-dimensional integral equation/method-of-moments formulations
Open-region finite-element formulations based on the scalar and vector Helmholtz equations
Finite difference time-domain methods
Direct and iterative algorithms for the solutions of linear systems
Error analysis and the convergence behavior of numerical results
Radiation boundary conditions
Acceleration methods for periodic Green's functions
Vector finite elements

Detail is provided to enable the reader to implement concepts in software and, in addition, a collection of related computer programs are available via the Internet. Computational Methods for Electromagnetics is designed for graduate-level classroom use or self-study, and every chapter includes problems. It will also be of particular interest to engineers working in the aerospace, defense, telecommunications, wireless, electromagnetic compatibility, and electronic packaging industries.

Customer Reviews:

A great book for those with an existing background in EM.......2003-10-24

I used this book during my MSEE research and found it to be invaluable. While I also had the benefit of the principal author being my Advisor, this book easily stands by itself. This book describes several different methods and concepts in the computational analysis of EM problems, including issues related to computer optimization. It's somewhat dense in that the authors assume you already have a thorough knowledge of EM, so I wouldn't recommend it for beginners. If you work in the field, however, this book is a must-have.

Computational Methods for Electromagnetics.......2003-04-29

This is a specialist book - indispensable for those involved in computational electromagnetics. It gives a lucid and indepth treatment of a wide variety of computational EM problems and associated theory. It is packed full of appropriately placed references which are at the coalface of research in this area. A great book! Well done!

Stability and Transition: Theory and Application: Efficient Numerical Methods with Computer Programs

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Stability and Transition: Theory and Application: Efficient Numerical Methods with Computer Programs
Tuncer Cebeci
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 3540201602

Book Description

Cebeci addresses transition from laminar to turbulent flows and considers solutions, mainly with the help of the linear stability theory and the ways in which it can be implemented accurately by numerical procedures. The main concern is transition of wall boundary layers, although one chapter is devoted to an approach based on the Navier-Stokes equations. The first three chapters summarize physical knowledge of the transition process, consider the stability equations and methods for predicting transition by linear stability theory, and describe efficient and accurate numerical methods for the solution of stability equations. Chapters 4 to 7 describe computer programs based on stability-theory approach to identify the location of transition in two- and three-dimensional incompressible and compressible flows, respectively, and Chapter 7 describes a computer program within the framework of parabolized stability equations. These programs are provided on an accompanying CD-ROM.

Numerical Methods for Chemical Engineering: Applications in MATLAB

Average customer rating:

excellent intro to applied math, not just for chemical engineers

Numerical Methods for Chemical Engineering: Applications in MATLAB
Kenneth J. Beers
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0521859719

Book Description

Suitable for a first year graduate course, this textbook unites the applications of numerical mathematics and scientific computing to the practice of chemical engineering. Written in a pedagogic style, the book describes basic linear and nonlinear algebric systems all the way through to stochastic methods, Bayesian statistics and parameter estimation. These subjects are developed at a level of mathematics suitable for graduate engineering study without the exhaustive level of the theoretical mathematical detail. The implementation of numerical methods in MATLAB is integrated within each chapter and numerous examples in chemical engineering are provided, with a library of corresponding MATLAB programs. This book will provide the graduate student with essential tools required by industry and research alike. Supplementary material includes solutions to homework problems set in the text, MATLAB programs and tutorial, lecture slides, and complicated derivations for the more advanced reader. These are available online at www.cambridge.org/9780521859714.

Customer Reviews:

excellent intro to applied math, not just for chemical engineers.......2007-07-23

This is extremely well written, combining both intuition and rigour. It has good accompanying matlab demos. It should be of interest to many people who use numerical methods (integration, optimization, eigen analysis, etc), not just chemical engineers.

Finite Element Analysis Theory and Application with ANSYS (3rd Edition)

Average customer rating:

Finite Element Analysis: Theory and Applications with ANSYS
Worst Book Ever!!!
I love this book!
Fantastic intro to FEA
Good intro, but does not go far enough

Finite Element Analysis Theory and Application with ANSYS (3rd Edition)
Saeed Moaveni
Manufacturer: Prentice Hall
ProductGroup: Book
Binding: Hardcover

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ASIN: 0131890808

Book Description

While many authors cover the theory of finite element modeling, this is the only book available that incorporates ANSYS as an integral part of its content. Moaveni presents the theory of finite element analysis, explores its application as a design/modeling tool, and explains in detail how to use ANSYS intelligently and effectively. Now uses Excel in solving simple finite element problems. Adds a significant number of new problems. Incorporates the latest version of ANSYS throughout. A useful reference for mechanical, civil and environmental engineers.

Customer Reviews:

Finite Element Analysis: Theory and Applications with ANSYS.......2007-05-06

This is a basis book for Finite Element Analysis. Also buy a book in Amazon is a fantastic guarantee of service.

Worst Book Ever!!!.......2007-05-03

We are at chapter 13 now and I now know that the book do not provide good fundamentals nor details to understand what FEA is all about. Tutorials are useless because they do not explain anything what's going on. You just must figure it out yourself. This is OK for secondary book. But don't expect to understand it without any other help. Choppy steps for the solution in the examples!

I love this book!.......2006-07-06

I can't imagine my learning process of FEA without this book. It's really good and comprenhensive. It is nice to read and it provides clear explanations to difficult topics. I believe this is a must have!

Fantastic intro to FEA.......2005-09-08

This book provides a great intro to FEA in general befor eit actually starts ANSYS Tutorial. The book is strictly for beginners .It contains very less details on Batch files ,nonlinear problems etc.

Good intro, but does not go far enough.......2000-08-09

I bought this book hoping it would make my job of developing a finite element model using ANSYS easier. But I did not learn much of anything new from this book. I was already familiar with finite element theory and also took the intro to ansys course offered by ANSYS. I had hoped that this book would go beyond what was offered by these two sources, but sadly it does not. Still, for the beginner who knows next to nothing of f.e. methods and ANSYS this is probably helpful.

Numerical Methods For Differential Equations: Fundamental Concepts For Scientific & Engineering Applications

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Numerical Methods For Differential Equations: Fundamental Concepts For Scientific & Engineering Applications
Michael A. Celia , and William G. Gray
Manufacturer: Prentice Hall
ProductGroup: Book
Binding: Paperback

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ASIN: 0136269613

Finite Element Analysis of Acoustic Scattering (Applied Mathematical Sciences)

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Finite Element Analysis of Acoustic Scattering (Applied Mathematical Sciences)
Frank Ihlenburg
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0387983198

Book Description

This book is a report of a cognitive journey towards the reliable simulation of scattering problems using finite element methods. The pre-asymptotic analysis of Galerkin FEM for the Helmholtz equation with moderate and large wave number forms the core of the book. The topics include a priori and a posteriori error estimation as well as the stabilized methods. The mathematical investigation of model problems is given in close connection with the physical problem of acoustic scattering and fluid-solid interaction. Starting from the basic physical assumptions, the author methodically develops both the strong and weak forms of the governing equations. The main chapter on finite element analysis is preceded by a systematic treatment of Galerkin methods for indefinite sesquilinear forms. The book also contains broad reference material on numerical methods for the Helmholtz equation in unbounded domains, including Dirichlet-to-Neumann methods, absorbing boundary conditions, infinite elements and the perfectly matched layer. In the final chapter, three dimensional computational simulations are presented and compared with experimental data. Students and researchers in mathematics, physics and engineering, as well as scientists and computational engineers working on scattering problems will find this book of interest. The author has produced a self-contained and easily readable work containing numerous illustrations of the theory with numerical examples and computational results.

Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction

Average customer rating:

Here's hoping for a third edition of this great text!
Post Graduate Compressible flow
Outstanding text or reference for graduate level CFD!

Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction
Eleuterio F. Toro
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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Accessories:

ASIN: 3540659668

Book Description

High resolution upwind and centered methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods. Applications include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows.

Customer Reviews:

Here's hoping for a third edition of this great text!.......2001-06-30

This is the book you want if you need to solve real compressible flow problems. It covers all the basics plus there's tons of advanced materials. I especially like the fact that there are numerous detailed examples and coding templates. In addition, the book contains a very extensive reference, allowing the reader to go back to the orginal papers.

Post Graduate Compressible flow.......2000-12-18

Have to agree with Mark, this book is quite superb. Professor Toro does a superb job - it took me from knowing nothing about shock capture to being able to write my own high resolution code in about six months. Coupled with the Numerica software it is an invaluable tool for learning about compressible flow.

Outstanding text or reference for graduate level CFD!.......1998-12-01

By far the best computational fluid dynamics text I have come across during my thesis research! The author presents modern shock-capturing numerical methods for solving the time-dependent hyperbolic conservation laws in multiple dimensions with exceptional clarity. Most of the text focuses on Godunov methods and is littered with practical applications and discussions for those with a limited background in CFD. In addition, Toro presents a simpler interpretation of his WAF method. In terms of readability, I found this book to be far superior. It will undoubtedly become as indispensible in the CFD field as those by Fletcher, Hirsch and LeVeque!

High-Precision Methods in Eigenvalue Problems and Their Applications (Differential and Integral Equations and Their Applications)

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High-Precision Methods in Eigenvalue Problems and Their Applications (Differential and Integral Equations and Their Applications)
Leonid D. Akulenko , and Sergei V. Nesterov
Manufacturer: Chapman & Hall/CRC
ProductGroup: Book
Binding: Hardcover

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ASIN: 041530993X

Book Description

The problem of finding eigenvalues and eigenfunctions and studying their behavior plays a crucial role in modern mathematics. More than a century of study by a legion of researchers, including many of the top names in physics as well as mathematics, has led to many important results and groundbreaking applications. High Precision Methods in Eigenvalue Problems and their Applications presents a thorough survey of analytical, asymptotic, numerical, and combined methods for solving eigenvalue problems, including those involving complex systems. The authors pay particular attention to a new method of accelerated convergence for solving problems of the Sturm-Liouville type. They consider boundary conditions of the first, second, and third types and present high-precision asymptotic methods for determining eigenvalues and eigenfunctions of higher oscillation modes. The authors describe the basic concepts of the methods and algorithms presented and illustrate their potential by solving meaningful problems. Readers seeking solutions to specific eigenvalue problems will find that rather than taking a common approach based on the Rayleigh-Ritz, Bubnov-Galiorkin, or finite element methods, the methods and algorithms set forth in this book may be much more easily adapted and extended to their purposes.

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