An Introduction to Numerical Methods in C++

Author: Brian Hilton Flowers,Sir Brian Hilton Flowers

Publisher: Oxford University Press on Demand

ISBN: 9780198506935

Category: Computers

Page: 555

View: 4352

Designed for the many applied mathematicians and engineers who wish to explore computerized numerical methods, this text explores the power of C++ as a tool for work in numerical methods. This revision of the successful first edition includes for the first time information on programming in Windows-based environments. In addition it includes new topics and methods throughout the text that clarify and enhance the treatment of the subject.

An Introduction to Programming and Numerical Methods in MATLAB

Author: Steve Otto,James P. Denier

Publisher: Springer Science & Business Media

ISBN: 9781852339197

Category: Business & Economics

Page: 463

View: 2645

The material presented in this volume provides an introduction to the numerical methods that are typically encountered and used in undergraduate science and engineering courses, and is developed in tandem with MATLAB, which allows rapid prototyping and testing of the methods.

An Introduction to C++ and Numerical Methods

Author: James M. Ortega,Andrew Swift Grimshaw

Publisher: Oxford University Press on Demand

ISBN: 9780195117677

Category: Computers

Page: 273

View: 789

An introduction to C++ providing explanations of the basics of numerical methods, scientific computing and the basic constructs of C++. Subsequent chapters revisit these topics to treat them in more detail. It also covers numerical methods used in scientific and engineering computation.



Publisher: PHI Learning Pvt. Ltd.

ISBN: 8120345452

Category: Computers

Page: 288

View: 5250

This concise introduction to Numerical Methods blends the traditional algebraic approach with the computer-based approach, with special emphasis on evolving algorithms which have been directly transformed into programs in C++. Each numerical method used for solving nonlinear algebraic equations, simultaneous linear equations, differentiation, integration, ordinary differential equations, curve-fitting, etc. is accompanied by an algorithm and the corresponding computer program. All computer programs have been test run on Linux ‘Ubuntu C++’ as well as Window-based ‘Dev C++’, Visual C++ and ‘Turbo C++’ compiler systems. Since different types of C++ compilers are in use today, instructions have been given with each computer program to run it on any kind of compiler. To this effect, an introductory chapter on C++ compilers has been added for ready reference by the students and teachers. Another major feature of the book is the coverage of the practicals prescribed for laboratory work in Numerical Analysis. Each chapter has a large number of laboratory tested programming examples and exercises including questions from previous years’ examinations. This textbook is intended for the undergraduate science students pursuing courses in BSc (Hons.) Physics, BSc (Hons.) Electronics and BSc (Hons.) Mathematics. It is also suitable for courses on Numerical Analysis prescribed for the engineering students of all disciplines.

Fortran 77 and Numerical Methods

Author: C. Xavier

Publisher: New Age International

ISBN: 9788122406702

Category: FORTRAN 77 (Computer program language)

Page: 527

View: 5886

Fortran Is The Pioneer Computer Language Originally Designed To Suit Numerical, Scientific And Engineering Computations. In Spite Of The Birth Of Several Computer Languages, Fortran Is Still Used As A Primary Tool For Programming Numerical Computations. In This Book All The Features Of Fortran 77 Have Been Elaborately Explained With The Support Of Examples And Illustrations. Programs Have Been Designed And Developed In A Systematic Way For All The Classical Problems. All The Topics Of Numerical Methods Have Been Presented In A Simple Style And Algorithms Developed. Complete Fortran 77 Programs And More Than One Sets Of Sample Data Have Been Given For Each Method. The Content Of The Book Have Been Carefully Tailored For A Course Material Of A One Semester Course For The Computer Science, Mathematics And Physics Students.

Introduction to Numerical Methods in Differential Equations

Author: Mark H. Holmes

Publisher: Springer Science & Business Media

ISBN: 0387308911

Category: Mathematics

Page: 239

View: 4339

This book shows how to derive, test and analyze numerical methods for solving differential equations, including both ordinary and partial differential equations. The objective is that students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. Includes an extensive collection of exercises, which develop both the analytical and computational aspects of the material. In addition to more than 100 illustrations, the book includes a large collection of supplemental material: exercise sets, MATLAB computer codes for both student and instructor, lecture slides and movies.

Introduction to the Finite Element Method in Electromagnetics

Author: Anastasis C. Polycarpou

Publisher: Morgan & Claypool Publishers

ISBN: 1598290460

Category: Technology & Engineering

Page: 115

View: 828

This lecture is written primarily for the non-expert engineer or the undergraduate or graduate student who wants to learn, for the first time, the finite element method with applications to electromagnetics. It is also designed for research engineers who have knowledge of other numerical techniques and want to familiarize themselves with the finite element method.Finite element method is a numerical method used to solve boundary-value problems characterized by a partial differential equation and a set of boundary conditions. Author Anastasis Polycarpou provides the reader with all information necessary to successfully apply the finite element method to one- and two-dimensional boundary-value problems in electromagnetics.The book is accompanied by a number of codes written by the author in Matlab. These are the finite element codes that were used to generate most of the graphs presented in this book. Specifically, there are three Matlab codes for the one-dimensional case (Chapter 1) and two Matlab codes for the two-dimensional case (Chapter 2). The reader may execute these codes, modify certain parameters such as mesh size or object dimensions, and visualize the results. The codes are available on the Morgan & Claypool Web site at

Numerical Analysis with Applications in Mechanics and Engineering

Author: Petre Teodorescu,Nicolae-Doru Stanescu,Nicolae Pandrea

Publisher: John Wiley & Sons

ISBN: 1118614623

Category: Computers

Page: 646

View: 8006

A much-needed guide on how to use numerical methods to solvepractical engineering problems Bridging the gap between mathematics and engineering,Numerical Analysis with Applications in Mechanics andEngineering arms readers with powerful tools for solvingreal-world problems in mechanics, physics, and civil and mechanicalengineering. Unlike most books on numerical analysis, thisoutstanding work links theory and application, explains themathematics in simple engineering terms, and clearly demonstrateshow to use numerical methods to obtain solutions and interpretresults. Each chapter is devoted to a unique analytical methodology,including a detailed theoretical presentation and emphasis onpractical computation. Ample numerical examples and applicationsround out the discussion, illustrating how to work out specificproblems of mechanics, physics, or engineering. Readers will learnthe core purpose of each technique, develop hands-onproblem-solving skills, and get a complete picture of the studiedphenomenon. Coverage includes: How to deal with errors in numerical analysis Approaches for solving problems in linear and nonlinearsystems Methods of interpolation and approximation of functions Formulas and calculations for numerical differentiation andintegration Integration of ordinary and partial differential equations Optimization methods and solutions for programmingproblems Numerical Analysis with Applications in Mechanics andEngineering is a one-of-a-kind guide for engineers usingmathematical models and methods, as well as for physicists andmathematicians interested in engineering problems.

An Introduction to Numerical Analysis for Electrical and Computer Engineers

Author: Christopher J. Zarowski

Publisher: John Wiley & Sons

ISBN: 9780471650409

Category: Mathematics

Page: 608

View: 4490

This book is an introduction to numerical analysis and intendsto strike a balance between analytical rigor and the treatment ofparticular methods for engineering problems Emphasizes the earlier stages of numerical analysis forengineers with real-life problem-solving solutions applied tocomputing and engineering Includes MATLAB oriented examples An Instructor's Manual presenting detailed solutions to all theproblems in the book is available from the Wiley editorialdepartment.

Solving PDEs in C++

Numerical Methods in a Unified Object-Oriented Approach

Author: Yair Shapira

Publisher: Cambridge University Press

ISBN: 9780898716016

Category: Computers

Page: 500

View: 8764

This comprehensive book not only introduces the C and C++ programming languages but also shows how to use them in the numerical solution of partial differential equations (PDEs). It leads the reader through the entire solution process, from the original PDE, through the discretization stage, to the numerical solution of the resulting algebraic system. The well-debugged and tested code segments implement the numerical methods efficiently and transparently. Basic and advanced numerical methods are introduced and implemented easily and efficiently in a unified object-oriented approach.The high level of abstraction available in C++ is particularly useful in the implementation of complex mathematical objects, such as unstructured mesh, sparse matrix, and multigrid hierarchy, often used in numerical modeling. This book introduces a unified approach for the implementation of these objects. The code segments and their detailed explanations clearly show how easy it is to implement advanced algorithms in C++. Solving PDEs in C++ contains all the required background in programming, PDEs, and numerical methods; only an elementary background in linear algebra and calculus is required. Useful exercises and solutions conclude each chapter. For the more advanced reader, there is also material on stability analysis and weak formulation. The final parts of the book demonstrate the object-oriented approach in advanced applications.The book is written for researchers, engineers, and advanced students who wish to increase their familiarity with numerical methods and to implement them in modern programming tools. Solving PDEs in C++ can be used as a textbook in courses in C++ with applications, C++ in engineering, numerical analysis, and numerical PDEs at the advanced undergraduate and graduate levels. Because it is self-contained, the book is also suitable for self-study by researchers and students in applied and computational science and engineering. Contents List of Figures; List of Tables; Preface; Part I: Programming. Chapter 1: Introduction to C; Chapter 2: Introduction to C++; Chapter 3: Data Structures; Part II: The Object-Oriented Approach. Chapter 4: Object-Oriented Programming; Chapter 5: Algorithms and Their Object-Oriented Implementation; Chapter 6: Object-Oriented Analysis; Part III: Partial Differential Equations and Their Discretization. Chapter 7: The Convection-Diffusion Equation; Chapter 8: Stability Analysis 209; Chapter 9: Nonlinear Equations; Chapter 10: Application in Image Processing; Part IV: The Finite-Element Discretization Method. Chapter 11: The Weak Formulation; Chapter 12: Linear Finite Elements; Chapter 13: Unstructured Finite-Element Meshes; Chapter 14: Adaptive Mesh Refinement; Chapter 15: High-Order Finite Elements; Part V: The Numerical Solution of Large Sparse Linear Systems of Equations. Chapter 16: Sparse Matrices and Their Implementation; Chapter 17: Iterative Methods for Large Sparse Linear Systems; Chapter 18: Parallelism; Part VI: Applications. Chapter 19: Diffusion Equations; Chapter 20: The Linear Elasticity Equations; Chapter 21: The Stokes Equations; Chapter 22: Electromagnetic Waves; Appendix; Bibliography; Index.



Publisher: PHI Learning Pvt. Ltd.

ISBN: 8120340183

Category: Technology & Engineering

Page: 308

View: 2321

This book is an exhaustive presentation of the numerical methods used in chemical engineering. Intended primarily as a textbook for BE/BTech students of chemical engineering, the book will also be useful to research and development/process professionals in the fields of chemical, biochemical, mechanical and biomedical engineering. The initial chapters discuss the linear and nonlinear algebraic equations. The ensuing chapters cover the problems in chemical engineering thermodynamics as well as initial value problems, boundary value problems and convection–diffusion problems. Topics related to chemical reaction, dispersion and diffusion as well as steady and transient heat conduction are treated in the final chapters. The book covers a large number of numerical methods including tridiagonal matrix algorithm (TDMA) method, Newton’s method, Runge–Kutta fourth-order method, Upwind Difference Scheme (UDS) method and Alternating Direction Implicit (ADI) method. Strong emphasis is given on applications and uses of numerical analysis specifically required at the undergraduate level. The book contains numerous worked-out examples and chapter-end exercises. The answers to all chapter-end exercises are provided. The Appendix contains a total of 33 programs in C++ related to the various numerical methods explained in the book.

Guide to Scientific Computing in C++

Author: Joe Pitt-Francis,Jonathan Whiteley

Publisher: Springer Science & Business Media

ISBN: 1447127366

Category: Computers

Page: 250

View: 7120

This easy-to-read textbook/reference presents an essential guide to object-oriented C++ programming for scientific computing. With a practical focus on learning by example, the theory is supported by numerous exercises. Features: provides a specific focus on the application of C++ to scientific computing, including parallel computing using MPI; stresses the importance of a clear programming style to minimize the introduction of errors into code; presents a practical introduction to procedural programming in C++, covering variables, flow of control, input and output, pointers, functions, and reference variables; exhibits the efficacy of classes, highlighting the main features of object-orientation; examines more advanced C++ features, such as templates and exceptions; supplies useful tips and examples throughout the text, together with chapter-ending exercises, and code available to download from Springer.

An Introduction to Numerical Methods

A MATLAB Approach, Second Edition

Author: Abdelwahab Kharab,Ronald B. Guenther

Publisher: CRC Press

ISBN: 1420057057

Category: Mathematics

Page: 624

View: 7415

Numerical methods are a mainstay of researchers and professionals across the many mathematics, scientific, and engineering disciplines. The importance of these methods combined with the power and availability of today's computers virtually demand that students in these fields be well versed not only in the numerical techniques, but also in the use of a modern computational software package. Updated to reflect the latest version of MATLAB, the second edition of An Introduction to Numerical Methods continues to fulfill both these needs. It introduces the theory and applications of the most commonly used techniques for solving numerical problems on a computer. It covers a wide range of useful algorithms, each presented with full details so that readers can visualize and interpret each step. Highlights of the second edition: A new chapter on numerical optimization New sections on finite elements More exercises and applied problems in each chapter MATLAB incorporated as an integral part of the text Emphasis on understanding how the methods work, a simple, direct style, and thorough coverage make this book an outstanding initiation that allows students to see almost immediate results. It will boost their confidence in their ability to master the subject and give them valuable experience in the use of MATLAB.

Scientific Computing and Differential Equations

An Introduction to Numerical Methods

Author: Gene H. Golub,James M. Ortega

Publisher: Elsevier

ISBN: 0080516696

Category: Mathematics

Page: 344

View: 7893

Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole. The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. It reviews modern scientific computing, outlines its applications, and places the subject in a larger context. This book is appropriate for upper undergraduate courses in mathematics, electrical engineering, and computer science; it is also well-suited to serve as a textbook for numerical differential equations courses at the graduate level. An introductory chapter gives an overview of scientific computing, indicating its important role in solving differential equations, and placing the subject in the larger environment Contains an introduction to numerical methods for both ordinary and partial differential equations Concentrates on ordinary differential equations, especially boundary-value problems Contains most of the main topics for a first course in numerical methods, and can serve as a text for this course Uses material for junior/senior level undergraduate courses in math and computer science plus material for numerical differential equations courses for engineering/science students at the graduate level

An Introduction to MATLAB® Programming and Numerical Methods for Engineers

Author: Timmy Siauw,Alexandre Bayen

Publisher: Academic Press

ISBN: 0127999140

Category: Computers

Page: 340

View: 411

Assuming no prior background in linear algebra or real analysis, An Introduction to MATLAB® Programming and Numerical Methods for Engineers enables you to develop good computational problem solving techniques through the use of numerical methods and the MATLAB® programming environment. Part One introduces fundamental programming concepts, using simple examples to put new concepts quickly into practice. Part Two covers the fundamentals of algorithms and numerical analysis at a level allowing you to quickly apply results in practical settings. Tips, warnings, and "try this" features within each chapter help the reader develop good programming practices Chapter summaries, key terms, and functions and operators lists at the end of each chapter allow for quick access to important information At least three different types of end of chapter exercises — thinking, writing, and coding — let you assess your understanding and practice what you've learned

Engineering Analysis

Interactive Methods and Programs with FORTRAN, QuickBASIC, MATLAB, and Mathematica

Author: Yen-Ching Pao

Publisher: CRC Press

ISBN: 9781420049619

Category: Computers

Page: 384

View: 9603

This book provides a concise introduction to numerical concepts in engineering analysis, using FORTRAN, QuickBASIC, MATLAB, and Mathematica to illustrate the examples. Discussions include: matrix algebra and analysis solution of matrix equations methods of curve fit methods for finding the roots of polynomials and transcendental equations finite differences and methods for interpolation and numerical differentiation numerical computation of single and double integrals numerical solution of ordinary differential equations Engineering Analysis: teaches readers to become proficient in FORTRAN or QuickBASIC programming to solve engineering problems provides an introduction to MATLAB and Mathematica, enabling readers to write supplementary m-files for MATLAB and toolkits for Mathematica using C-like commands The book emphasizes interactive operation in developing computer programs throughout, enabling the values of the parameters involved in the problem to be entered by the user of the program via a keyboard. In introducing each numerical method, Engineering Analysis gives minimum mathematical derivations but provides a thorough explanation of computational procedures to solve a specific problem. It serves as an exceptional text for self-study as well as resource for general reference.