Introduction To Numerical Computations

Author : Wen Shen
Publisher : World Scientific
Page : 339 pages
File Size : 52,7 Mb
Release : 2019-08-28
Category : Mathematics
ISBN : 9789811204432

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Introduction To Numerical Computation, An (Second Edition) by Wen Shen Pdf

This book serves as a set of lecture notes for a senior undergraduate level course on the introduction to numerical computation, which was developed through 4 semesters of teaching the course over 10 years. The book requires minimum background knowledge from the students, including only a three-semester of calculus, and a bit on matrices.The book covers many of the introductory topics for a first course in numerical computation, which fits in the short time frame of a semester course. Topics range from polynomial approximations and interpolation, to numerical methods for ODEs and PDEs. Emphasis was made more on algorithm development, basic mathematical ideas behind the algorithms, and the implementation in Matlab.The book is supplemented by two sets of videos, available through the author's YouTube channel. Homework problem sets are provided for each chapter, and complete answer sets are available for instructors upon request.The second edition contains a set of selected advanced topics, written in a self-contained manner, suitable for self-learning or as additional material for an honored version of the course. Videos are also available for these added topics.

Author : James F. Epperson
Publisher : John Wiley & Sons
Page : 579 pages
File Size : 47,7 Mb
Release : 2013-06-06
Category : Mathematics
ISBN : 9781118626238

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An Introduction to Numerical Methods and Analysis by James F. Epperson Pdf

Praise for the First Edition ". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises." —Zentrablatt Math ". . . carefully structured with many detailed worked examples . . ." —The Mathematical Gazette ". . . an up-to-date and user-friendly account . . ." —Mathematika An Introduction to Numerical Methods and Analysis addresses the mathematics underlying approximation and scientific computing and successfully explains where approximation methods come from, why they sometimes work (or don't work), and when to use one of the many techniques that are available. Written in a style that emphasizes readability and usefulness for the numerical methods novice, the book begins with basic, elementary material and gradually builds up to more advanced topics. A selection of concepts required for the study of computational mathematics is introduced, and simple approximations using Taylor's Theorem are also treated in some depth. The text includes exercises that run the gamut from simple hand computations, to challenging derivations and minor proofs, to programming exercises. A greater emphasis on applied exercises as well as the cause and effect associated with numerical mathematics is featured throughout the book. An Introduction to Numerical Methods and Analysis is the ideal text for students in advanced undergraduate mathematics and engineering courses who are interested in gaining an understanding of numerical methods and numerical analysis.

Author : James S. Vandergraft
Publisher : Academic Press
Page : 388 pages
File Size : 48,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483267098

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Introduction to Numerical Computations by James S. Vandergraft Pdf

Computer Science and Applied Mathematics: Introduction to Numerical Computations, Second Edition introduces numerical algorithms as they are used in practice. This edition covers the usual topics contained in introductory numerical analysis textbooks that include all of the well-known and most frequently used algorithms for interpolation and approximation, numerical differentiation and integration, solution of linear systems and nonlinear equations, and solving ordinary differential equations. A complete discussion of computer arithmetic, problems that arise in the computer evaluation of functions, and cubic spline interpolation are also provided. This text likewise discusses the Newton formulas for interpolation and adaptive methods for integration. The level of this book is suitable for advanced undergraduate students and readers with elementary mathematical background.

Author : J. Stoer,R. Bulirsch
Publisher : Springer Science & Business Media
Page : 674 pages
File Size : 52,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475722727

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Introduction to Numerical Analysis by J. Stoer,R. Bulirsch Pdf

On the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential equa tions and differential-algebraic systems was added, and the section on stiff differential equations was updated by describing further methods to solve such equations.

Author : Eugene E. Tyrtyshnikov
Publisher : Springer Science & Business Media
Page : 205 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780817681364

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A Brief Introduction to Numerical Analysis by Eugene E. Tyrtyshnikov Pdf

A logically organized advanced textbook, which turns the reader into an active participant by asking questions, hinting, giving direct recommendations, comparing different methods, and discussing "pessimistic" and "optimistic" approaches to numerical analysis. Advanced students and graduate students majoring in computer science, physics and mathematics will find this book helpful.

Author : Robert M. Corless,Nicolas Fillion
Publisher : Springer Science & Business Media
Page : 869 pages
File Size : 46,8 Mb
Release : 2013-12-12
Category : Mathematics
ISBN : 9781461484530

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A Graduate Introduction to Numerical Methods by Robert M. Corless,Nicolas Fillion Pdf

This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the readers, but the central ideas of backward error and sensitivity (conditioning) are systematically emphasized. The book is divided into four parts: Part I provides the background preliminaries including floating-point arithmetic, polynomials and computer evaluation of functions; Part II covers numerical linear algebra; Part III covers interpolation, the FFT and quadrature; and Part IV covers numerical solutions of differential equations including initial-value problems, boundary-value problems, delay differential equations and a brief chapter on partial differential equations. The book contains detailed illustrations, chapter summaries and a variety of exercises as well some Matlab codes provided online as supplementary material. “I really like the focus on backward error analysis and condition. This is novel in a textbook and a practical approach that will bring welcome attention." Lawrence F. Shampine A Graduate Introduction to Numerical Methods and Backward Error Analysis” has been selected by Computing Reviews as a notable book in computing in 2013. Computing Reviews Best of 2013 list consists of book and article nominations from reviewers, CR category editors, the editors-in-chief of journals, and others in the computing community.

Author : John Gregory,Don Redmond
Publisher : Jones & Bartlett Publishers
Page : 352 pages
File Size : 55,9 Mb
Release : 1994
Category : Mathematics
ISBN : UOM:39015032965322

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Introduction to Numerical Analysis by John Gregory,Don Redmond Pdf

Author : Kendall Atkinson
Publisher : John Wiley & Sons
Page : 726 pages
File Size : 49,7 Mb
Release : 1991-01-16
Category : Mathematics
ISBN : 9780471624899

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An Introduction to Numerical Analysis by Kendall Atkinson Pdf

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. Contains many problems, some with solutions.

Author : A. Neumaier,Arnold Neumaier
Publisher : Cambridge University Press
Page : 368 pages
File Size : 46,5 Mb
Release : 2001-10
Category : Mathematics
ISBN : 0521336104

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Introduction to Numerical Analysis by A. Neumaier,Arnold Neumaier Pdf

This textbook provides an introduction to constructive methods that provide accurate approximations to the solution of numerical problems using MATLAB.

Author : Abdelwahab Kharab,Ronald Guenther
Publisher : CRC Press
Page : 447 pages
File Size : 53,9 Mb
Release : 2018-09-05
Category : Mathematics
ISBN : 9781351605915

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An Introduction to Numerical Methods by Abdelwahab Kharab,Ronald Guenther Pdf

Previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB® Approach, Fourth 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 computed results so that the main steps are easily visualized and interpreted. This edition also includes a new chapter on Dynamical Systems and Chaos. Features Covers the most common numerical methods encountered in science and engineering Illustrates the methods using MATLAB Presents numerous examples and exercises, with selected answers at the back of the book

Author : Sidney J. Yakowitz,Ferenc Szidarovszky
Publisher : Unknown
Page : 165 pages
File Size : 51,9 Mb
Release : 1986
Category : Numerical analysis
ISBN : 002430820X

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An Introduction to Numerical Computations by Sidney J. Yakowitz,Ferenc Szidarovszky Pdf

Author : Endre Süli,David F. Mayers
Publisher : Cambridge University Press
Page : 440 pages
File Size : 50,9 Mb
Release : 2003-08-28
Category : Mathematics
ISBN : 0521007941

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An Introduction to Numerical Analysis by Endre Süli,David F. Mayers Pdf

An introduction to numerical analysis combining rigour with practical applications, and providing numerous exercises plus solutions.

Author : Michael Schäfer
Publisher : Springer Nature
Page : 374 pages
File Size : 47,8 Mb
Release : 2021-07-19
Category : Technology & Engineering
ISBN : 9783030760274

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Computational Engineering - Introduction to Numerical Methods by Michael Schäfer Pdf

Numerical simulation methods in all engineering disciplines gains more and more importance. The successful and efficient application of such tools requires certain basic knowledge about the underlying numerical techniques. The text gives a practice-oriented introduction in modern numerical methods as they typically are applied in mechanical, chemical, or civil engineering. Problems from heat transfer, structural mechanics, and fluid mechanics constitute a thematical focus of the text. For the basic understanding of the topic aspects of numerical mathematics, natural sciences, computer science, and the corresponding engineering area are simultaneously important. Usually, the necessary information is distributed in different textbooks from the individual disciplines. In the present text the subject matter is presented in a comprehensive multidisciplinary way, where aspects from the different fields are treated insofar as it is necessary for general understanding. Overarching aspects and important questions related to accuracy, efficiency, and cost effectiveness are discussed. The topics are presented in an introductory manner, such that besides basic mathematical standard knowledge in analysis and linear algebra no further prerequisites are necessary. The book is suitable either for self-study or as an accompanying textbook for corresponding lectures. It can be useful for students of engineering disciplines as well as for computational engineers in industrial practice.

Author : James P Howard, II
Publisher : CRC Press
Page : 257 pages
File Size : 49,9 Mb
Release : 2017-07-12
Category : Mathematics
ISBN : 9781498723640

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Computational Methods for Numerical Analysis with R by James P Howard, II Pdf

Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential equations can be implemented in pure R code. Every algorithm described is given with a complete function implementation in R, along with examples to demonstrate the function and its use. Computational Methods for Numerical Analysis with R is intended for those who already know R, but are interested in learning more about how the underlying algorithms work. As such, it is suitable for statisticians, economists, and engineers, and others with a computational and numerical background.

Author : Butt
Publisher : Jones & Bartlett Learning
Page : 836 pages
File Size : 45,8 Mb
Release : 2009-02-17
Category : Computers
ISBN : 076377376X

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Introduction to Numerical Analysis Using MATLAB® by Butt Pdf

Numerical analysis is the branch of mathematics concerned with the theoretical foundations of numerical algorithms for the solution of problems arising in scientific applications. Designed for both courses in numerical analysis and as a reference for practicing engineers and scientists, this book presents the theoretical concepts of numerical analysis and the practical justification of these methods are presented through computer examples with the latest version of MATLAB. The book addresses a variety of questions ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations, with particular emphasis on the stability, accuracy, efficiency and reliability of numerical algorithms. The CD-ROM which accompanies the book includes source code, a numerical toolbox, executables, and simulations.