An Introduction to Numerical Methods

A MATLAB Approach, Third Edition

Author: Abdelwahab Kharab,Ronald B. Guenther

Publisher: CRC Press

ISBN: 1439868999

Category: Mathematics

Page: 576

View: 807

Highly recommended by CHOICE, previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB® Approach, Third Edition continues to present a wide range of useful and important algorithms for scientific and engineering applications. The authors use MATLAB to illustrate each numerical method, providing full details of the computer results so that the main steps are easily visualized and interpreted. New to the Third Edition A chapter on the numerical solution of integral equations A section on nonlinear partial differential equations (PDEs) in the last chapter Inclusion of MATLAB GUIs throughout the text The book begins with simple theoretical and computational topics, including computer floating point arithmetic, errors, interval arithmetic, and the root of equations. After presenting direct and iterative methods for solving systems of linear equations, the authors discuss interpolation, spline functions, concepts of least-squares data fitting, and numerical optimization. They then focus on numerical differentiation and efficient integration techniques as well as a variety of numerical techniques for solving linear integral equations, ordinary differential equations, and boundary-value problems. The book concludes with numerical techniques for computing the eigenvalues and eigenvectors of a matrix and for solving PDEs. CD-ROM Resource The accompanying CD-ROM contains simple MATLAB functions that help students understand how the methods work. These functions provide a clear, step-by-step explanation of the mechanism behind the algorithm of each numerical method and guide students through the calculations necessary to understand the algorithm. Written in an easy-to-follow, simple style, this text improves students’ ability to master the theoretical and practical elements of the methods. Through this book, they will be able to solve many numerical problems using MATLAB.
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Introduction to Numerical Analysis

Second Edition

Author: F. B. Hildebrand

Publisher: Courier Corporation

ISBN: 0486318559

Category: Mathematics

Page: 669

View: 9787

Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, more. Includes 150 additional problems in this edition.
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An Introduction to Numerical Analysis

Author: Endre Süli,David F. Mayers

Publisher: Cambridge University Press

ISBN: 9780521007948

Category: Mathematics

Page: 433

View: 791

Introduction to numerical analysis combining rigour with practical applications. Numerous exercises plus solutions.
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A Theoretical Introduction to Numerical Analysis

Author: Victor S. Ryaben'kii,Semyon V. Tsynkov

Publisher: CRC Press

ISBN: 9781584886075

Category: Mathematics

Page: 552

View: 7510

A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis. The authors thoroughly explain basic concepts, such as discretization, error, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and the effect of smoothness on the accuracy of approximation in the context of Chebyshev interpolation, Gaussian quadratures, and spectral methods for differential equations. Another advanced subject discussed, the method of difference potentials, employs discrete analogues of Calderon’s potentials and boundary projection operators. The authors often delineate various techniques through exercises that require further theoretical study or computer implementation. By lucidly presenting the central mathematical concepts of numerical methods, A Theoretical Introduction to Numerical Analysis provides a foundational link to more specialized computational work in fluid dynamics, acoustics, and electromagnetism.
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AN INTRODUCTION TO NUMERICAL ANALYSIS, 2ND ED

Author: Kendall E. Atkinson

Publisher: John Wiley & Sons

ISBN: 9788126518500

Category:

Page: 712

View: 3778

Market_Desc: · Mathematics Students · Instructors About The Book: This Second Edition of a standard numerical analysis text retains organization of the original edition, but all sections have been revised, some extensively, and bibliographies have been updated. New topics covered include optimization, trigonometric interpolation and the fast Fourier transform, numerical differentiation, the method of lines, boundary value problems, the conjugate gradient method, and the least squares solutions of systems of linear equations.
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Solutions Manual to accompany An Introduction to Numerical Methods and Analysis

Author: James F. Epperson

Publisher: John Wiley & Sons

ISBN: 111855213X

Category: Mathematics

Page: 316

View: 7991

A solutions manual to accompany An Introduction toNumerical Methods and Analysis, Second Edition An Introduction to Numerical Methods and Analysis, SecondEdition reflects the latest trends in the field, includesnew material and revised exercises, and offers a unique emphasis onapplications. The author clearly explains how to both construct andevaluate approximations for accuracy and performance, which are keyskills in a variety of fields. A wide range of higher-level methodsand solutions, including new topics such as the roots ofpolynomials, spectral collocation, finite element ideas, andClenshaw-Curtis quadrature, are presented from an introductoryperspective, and theSecond Edition also features: ulstyle="line-height: 25px; margin-left: 15px; margin-top: 0px; font-family: Arial; font-size: 13px;" Chapters and sections that begin with basic, elementarymaterial followed by gradual coverage of more advancedmaterial Exercises ranging from simple hand computations to challengingderivations and minor proofs to programming exercises Widespread exposure and utilization of MATLAB® An appendix that contains proofs of various theorems and othermaterial
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A Brief Introduction to Numerical Analysis

Author: Evgeniĭ Evgenʹevich Tyrtyshnikov

Publisher: Springer Science & Business Media

ISBN: 9780817639167

Category: Mathematics

Page: 202

View: 6653

This is an advanced textbook based on lectures delivered at the Moscow Physico-Technical Institute. Brevity, logical organization of the material, and a sometimes lighthearted approach are distinctive features of this modest book. The author makes the reader an active participant by asking questions, hinting, giving direct recommendations, comparing different methods, and discussing "pessimistic" and "optimistic" approaches to numerical analysis in a short time. Since matrix analysis underlies numerical methods and the author is an expert in this field, emphasis in the book is on methods and algorithms of matrix analysis. Also considered are function approximations, methods of solving nonlinear equations and minimization methods. Alongside classical methods, new results and approaches developed over the last few years are discussed - namely those on spectral distribution theory and what it gives for design and proof of modern preconditioning strategies for large-scale linear algebra problems. Advanced students and graduate students majoring in computer science, physics and mathematics will find this book helpful. It can be equally useful for advanced readers and researchers in providing them with new findings and new accessible views of the basic mathematical framework.
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Introduction to Numerical Analysis

Author: Josef Stoer,R. Bulirsch

Publisher: Springer Science & Business Media

ISBN: 9780387954523

Category: Mathematics

Page: 746

View: 4734

New edition of a well-known classic in the field; Previous edition sold over 6000 copies worldwide; Fully-worked examples; Many carefully selected problems
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Scientific Computing and Differential Equations

An Introduction to Numerical Methods

Author: Gene Howard Golub,James M. Ortega

Publisher: Academic Press

ISBN: 9780122892554

Category: Computers

Page: 337

View: 7177

A book that emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. An introductory chapter on this topic gives an overview of modern scientific computing, outlining its applications and placing the subject in a larger context.
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