In recent years, with the introduction of new media products, therehas been a shift in the use of programming languages from FORTRANor C to MATLAB for implementing numerical methods. This book makesuse of the powerful MATLAB software to avoid complex derivations,and to teach the fundamental concepts using the software to solvepractical problems. Over the years, many textbooks have beenwritten on the subject of numerical methods. Based on their courseexperience, the authors use a more practical approach and linkevery method to real engineering and/or science problems. The mainbenefit is that engineers don't have to know the mathematicaltheory in order to apply the numerical methods for solving theirreal-life problems. An Instructor's Manual presenting detailed solutions to all theproblems in the book is available online.
Uses introductory problems from particular applications that are easy to understand and show the reader that there is a need for a particular mathematical technique. Numerical techniques are explained from basics with an emphasis on why they work.Discusses the contexts and reasons for selection of each problem and solution method. Worked-out examples are very realistic and not contrived.
This book provides a comprehensive discussion of numerical computing techniques with an emphasis on practical applications in the fields of civil, chemical, electrical, and mechanical engineering. It features two software libraries that implement the algorithms developed in the text - a MATLAB® toolbox, and an ANSI C library. This book is intended for undergraduate students. Each chapter includes detailed case study examples from the four engineering fields with complete solutions provided in MATLAB® and C, detailed objectives, numerous worked-out examples and illustrations, and summaries comparing the numerical techniques. Chapter problems are divided into separate analysis and computation sections. Documentation for the software is provided in text appendixes that also include a helpful review of vectors and matrices. The Instructor's Manual includes a disk with software documentation and complete solutions to both problems and examples in the book.
PREFACE WHAT THIS BOOK DESCRIBES This book is intended to introduce numerical analysis and graphic visualization using MATLAB to college students majoring in engineering and science.It can also be a handbook of MATLAB applications for professional engi-neers and scientists. The goal is not to teach the mathematics of numericalanalysis, but rather to teach the knowledge and skills of solving equationsand presenting them graphically so that readers can easily handle equationsand results of the computations. With its unique and fascinating capabilities, MATLAB has changed theconcept of programming for numerical and mathematical analyses. Therefore, MATLAB is a superb vehicle to achieve our goal. This book fullyimplements the mathematical and graphic tools in the most recent versionof MATLAB. The following four fundamental elements are integrated in this book: (1)programming in MATLAB, (2) mathematical basics of numerical analysis,(3) application of numerical methods to engineering, scientific, and mathematical problems, and (4) scientific graphics with MATLAB. The first two chapters are comprehensive tutorials of MATLAB commands and graphic tools, particularly for the beginner or entry-level collegestudent. Indeed, these two chapters have been most significantly enhancedin this edition compared to the first edition. In Chapter 1, understandingand developing programming skills on MATLAB are emphasized particularlybecause, unless the reader has knowledge and experience with another pro-gramming language, these are tough hurdles for the beginner to overcome.To acquire the knowledge and skills necessary to read the rest of the book,solving the problems at the end of each chapter is very important. Chapter 2 starts out with the elements of graphics on MATLAB, whichis easy to follow. Yet, toward the end of the chapter, three-dimensionalgraphics on the professional level are achieved. Not only is the programmingtechnique of plotting functions mentioned, but also skills of presenting mathematical and scientific material using graphics are developed throughout thechapter. The graphics knowledge acquired in this chapter are foundationsin learning and applying the numerical methods described in the remainderof the book. Again, practice on the computer is important. Some studentstry to memorize scripts without understanding why and how they work,but such an effort is utterly meaningless. More important is to play with afew new commands, understand how they work and how they may fail, andfinally become a master of the commands. Chapters 3 through 11 cover numerical methods and their implementations with MATLAB. All the numerical methods described are illustratedwith applications on MATLAB. Appendices describe special topics, including advanced three-dimensional graphics with colors, motion pictures, imageprocessing, and graphical user interface. Readers should feel free to use thescripts in this book in any way desired. However, the beginning studentsare advised not to u se these scripts blindly. The students should write theirown scripts. Using the lists of the scripts and function, readers can run most examples and figures on their own computers. The m-files of the scripts can bedownloaded as mentioned later. WHAT IS UNIQUE ABOUT MATLAB? MATLAB may be regarded as a programming language like Fortran or C,although describing it in a few words is difficult. Some of its outstandingfeatures for numerical analyses, however, are: Significantly simpler programming Continuity among integer, real, and complex values Extended range of numbers and their accuracy A comprehensive mathematical library Extensive graphic tools including graphic user interface functions Capability of linking with traditional programming languages Transportability of MATLAB programs An extraordinary feature of MATLAB is that there is no distinction amongreal, complex, and integer numbers. All numbers are in double precision. InMATLAB, all kinds of numbers are continuously connected, as they should be. It means that in MATLAB, any variable can take any type of numberwithout special declaration in programming. This makes programming fasterand more productive. In Fortran, a different subroutine is necessary for eachsingle, double, real or complex, or integer variable, while in MATLAB thereis no need to separate them. The mathematical library in MATLAB makes mathematical analyseseasy. Yet the user can develop additional mathematical routines significantlymore easily than in other programming languages because of the continuitybetween real and complex variables. Among numerous mathematical functions, linear algebra solvers play central roles. Indeed, the whole MATLABsystem is founded upon linear algebra solvers. IMPORTANCE OF GRAPHICS Graphic presentation of mathematical analysis helps the reader to under-stand mathematics and makes it enjoyable. Although this advantage hasbeen well known, presenting computed results with computer graphics wasnot without substantial extra effort in the past. With MATLAB, however,graphic presentations of mathematical material is possible with just a fewcommands. Scientific and even artistic graphic objects can be created on thescreen using mathematical expressions. It has been found that MATLABgraphics motivate and excite students to learn mathematical and numericalmethods that could otherwise be dull. MATLAB graphics are easy and great fun for readers. This book alsoillustrates image processing and production of motion pictures for scientific computing as well as for artistic or hobby material. WILL MATLAB ELIMINATE THE NEED FOR FORTRAN OR C? The answer is no. Fortran and C are still important for high-performancecomputing that requires a large memory or long computing time. The speedof MATLAB computation is significantly slower than that with Fortran orC because MATLAB is paying the high price for the nice features. Learn-ing Fortran or C, however, is not a prerequisite for understanding MATLAB. REFERENCE BOOKS THAT ARE HELPFUL TO LEARN MATLAB This book explains many MATLAB commands but is not intended to be acomplete guide to MATLAB. Readers interested in further information onMATLAB are advised to read User's Guide and Reference Guide. Also, youshould know that over 400 books for use with MATLAB, Simulink, Tool-boxes, and Blocksets have been written. See http://www.mathworks.com/support/books WEB SITE FOR READERS OF THIS BOOK A Web site for readers of this book has been opened at http://olen.eng.ohio-state.ed/matlab This Web site includes additional examples, hints, and color graphics thatcannot be printed in the book. If there are corrections to the text material,they will appear on this Web site. Links to other relevant sites are alsoprovided. HOW TO OBTAIN M-FILES PACKAGE The m-files package that includes all the scripts and functions developed inthe present book are available from the download site of the publisher, whichcan be accessed via the Web site in the foregoing paragraph. The packageincludes the following files: All m-files listed at the end of chapters. All scripts illustrated in the book (except short ones). Scripts to plot typical figures in the book. SOLUTION KEYS Solution keys for the problems for each chapter are available at the end ofthis book. Further help may also be available at the Web site for the readers. HOW TO OBTAIN MORE INFORMATION ABOUT MATLAB The best way to start collecting more information about MATLAB is to visitthe Web site of MATHWORKS athttp://www.mathworks.com For other communication with MathWorks, their address is: The MathWorks, Inc., 3 Apple Hill Drive, Natick ,MA 01760-2098, United StatesPhone: 508-647-7000, Fax: 508-647-7001. LIST OF REVIEWERS The first edition of this book was reviewed by: Professor T. Aldemir, Nuclear Engineering, The Ohio State University, Columbus, Ohio Professor M. Darwish, Mechanical Engineering Department, American University of Beirut, Beirut, Lebanon The MathWorks Inc., Natick, Massacusetts Professor J.K. Shultis, Nuclear Engineering, Kansas State University, Manhattan, Kansas Professor S.V. Sreenivasan, Department of Mechanical Engineering, University of Texas, Austin, Texas
Steven Chapra’s Applied Numerical Methods with MATLAB, third edition, is written for engineering and science students who need to learn numerical problem solving. Theory is introduced to inform key concepts which are framed in applications and demonstrated using MATLAB. The book is designed for a one-semester or one-quarter course in numerical methods typically taken by undergraduates. The third edition features new chapters on Eigenvalues and Fourier Analysis and is accompanied by an extensive set of m-files and instructor materials.
Part of the new Digital Filmmaker Series! Digital Filmmaking: An Introductionis the first book in the newDigital Filmmaker Series. Designed for an introductory level course in digital filmmaking, it is intended for anyone who has an interest in telling stories with pictures and sound and won't assume any familiarity with equipment or concepts on the part of the student. In addition to the basics of shooting and editing, different story forms are introduced from documentary and live events through fictional narratives. Each of the topics is covered in enough depth to allow anyone with a camera and a computer to begin creating visual projects of quality.
MATLAB® has become one of the prominent languages used in research and industry and often described as "the language of technical computing". The focus of this book will be to highlight the use of MATLAB® in technical computing; or more specifically, in solving problems in Process Simulations. This book aims to bring a practical approach to expounding theories: both numerical aspects of stability and convergence, as well as linear and nonlinear analysis of systems. The book is divided into three parts which are laid out with a "Process Analysis" viewpoint. First part covers system dynamics followed by solution of linear and nonlinear equations, including Differential Algebraic Equations (DAE) while the last part covers function approximation and optimization. Intended to be an advanced level textbook for numerical methods, simulation and analysis of process systems and computational programming lab, it covers following key points • Comprehensive coverage of numerical analyses based on MATLAB for chemical process examples. • Includes analysis of transient behavior of chemical processes. • Discusses coding hygiene, process animation and GUI exclusively. • Treatment of process dynamics, linear stability, nonlinear analysis and function approximation through contemporary examples. • Focus on simulation using MATLAB to solve ODEs and PDEs that are frequently encountered in process systems.
Designed to benefit scientific and engineering applications, Numerical Methods for Engineers and Scientists Using MATLAB® focuses on the fundamentals of numerical methods while making use of MATLAB software. The book introduces MATLAB early on and incorporates it throughout the chapters to perform symbolic, graphical, and numerical tasks. The text covers a variety of methods from curve fitting to solving ordinary and partial differential equations. Provides fully worked-out examples showing all details Confirms results through the execution of the user-defined function or the script file Executes built-in functions for re-confirmation, when available Generates plots regularly to shed light on the soundness and significance of the numerical results Created to be user-friendly and easily understandable, Numerical Methods for Engineers and Scientists Using MATLAB® provides background material and a broad introduction to the essentials of MATLAB, specifically its use with numerical methods. Building on this foundation, it introduces techniques for solving equations and focuses on curve fitting and interpolation techniques. It addresses numerical differentiation and integration methods, presents numerical methods for solving initial-value and boundary-value problems, and discusses the matrix eigenvalue problem, which entails numerical methods to approximate a few or all eigenvalues of a matrix. The book then deals with the numerical solution of partial differential equations, specifically those that frequently arise in engineering and science. The book presents a user-defined function or a MATLAB script file for each method, followed by at least one fully worked-out example. When available, MATLAB built-in functions are executed for confirmation of the results. A large set of exercises of varying levels of difficulty appears at the end of each chapter. The concise approach with strong, up-to-date MATLAB integration provided by this book affords readers a thorough knowledge of the fundamentals of numerical methods utilized in various disciplines.