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Numerical Analysis

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Numerical Analysis

Numerical Analysis Book
Author : Tim Sauer
Publisher : Pearson College Division
Release : 2006
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Accompanying CD-ROM contains ... "MATLAB Projects; ReadMe."--CD-ROM label.

Numerical Analysis

Numerical Analysis Book
Author : Walter Gautschi
Publisher : Springer Science & Business Media
Release : 2011-12-07
ISBN : 0817682597
Language : En, Es, Fr & De

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Book Description :

Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, among others. Topics included in the book are presented with a view toward stressing basic principles and maintaining simplicity and teachability as far as possible, while subjects requiring a higher level of technicality are referenced in detailed bibliographic notes at the end of each chapter. Readers are thus given the guidance and opportunity to pursue advanced modern topics in more depth. Along with updated references, new biographical notes, and enhanced notational clarity, this second edition includes the expansion of an already large collection of exercises and assignments, both the kind that deal with theoretical and practical aspects of the subject and those requiring machine computation and the use of mathematical software. Perhaps most notably, the edition also comes with a complete solutions manual, carefully developed and polished by the author, which will serve as an exceptionally valuable resource for instructors.

Numerical Analysis

Numerical Analysis Book
Author : Richard L. Burden,J. Douglas Faires,Annette M. Burden
Publisher : Cengage Learning
Release : 2015-01-01
ISBN : 1305465350
Language : En, Es, Fr & De

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Book Description :

This well-respected text introduces the theory and application of modern numerical approximation techniques to students taking a one- or two-semester course in numerical analysis. Providing an accessible treatment that only requires a calculus prerequisite, the authors explain how, why, and when approximation techniques can be expected to work-and why, in some situations, they fail. A wealth of examples and exercises develop students' intuition, and demonstrate the subject's practical applications to important everyday problems in math, computing, engineering, and physical science disciplines. The first book of its kind when crafted more than 30 years ago to serve a diverse undergraduate audience, Burden, Faires, and Burden's NUMERICAL ANALYSIS remains the definitive introduction to a vital and practical subject. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

An Introduction to Numerical Analysis

An Introduction to Numerical Analysis Book
Author : Endre Süli,David F. Mayers
Publisher : Cambridge University Press
Release : 2003-08-28
ISBN : 9780521007948
Language : En, Es, Fr & De

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Book Description :

Introduction to numerical analysis combining rigour with practical applications. Numerous exercises plus solutions.

Numerical Analysis

Numerical Analysis Book
Author : Anonim
Publisher : Academic Publishers
Release : 2021-04-21
ISBN : 9788187504481
Language : En, Es, Fr & De

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Book Description :

Download Numerical Analysis book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Introduction to Numerical Analysis

Introduction to Numerical Analysis Book
Author : F. B. Hildebrand
Publisher : Courier Corporation
Release : 2013-04-26
ISBN : 0486318559
Language : En, Es, Fr & De

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Book Description :

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.

Numerical Analysis

Numerical Analysis Book
Author : Michelle Schatzman
Publisher : Oxford University Press
Release : 2002
ISBN : 9780198508526
Language : En, Es, Fr & De

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Book Description :

This book provides professionals and students with a thorough understanding of the interface between mathematics and scientific computation. Ranging from classical questions to modern techniques, it explains why numerical computations succeed or fail. The book is divided into four sections, with an emphasis on the use of mathematics as a tool in determining the success rate of numerical methods. The text requires only a modest level of mathematical training, and is ideally suited for scientists and students in mathematics, physics and engineering.

A Theoretical Introduction to Numerical Analysis

A Theoretical Introduction to Numerical Analysis Book
Author : Victor S. Ryaben'kii,Semyon V. Tsynkov
Publisher : CRC Press
Release : 2006-11-02
ISBN : 9781584886075
Language : En, Es, Fr & De

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Book Description :

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.

Numerical Methods

Numerical Methods Book
Author : Germund Dahlquist,Åke Björck
Publisher : Courier Corporation
Release : 2012-04-26
ISBN : 0486139468
Language : En, Es, Fr & De

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Book Description :

DIVPractical text strikes balance between students' requirements for theoretical treatment and the needs of practitioners, with best methods for both large- and small-scale computing. Many worked examples and problems. 1974 edition. /div

Dynamical Systems and Numerical Analysis

Dynamical Systems and Numerical Analysis Book
Author : Andrew Stuart,A. R. Humphries
Publisher : Cambridge University Press
Release : 1998-11-28
ISBN : 9780521645638
Language : En, Es, Fr & De

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Book Description :

This book unites the study of dynamical systems and numerical solution of differential equations. The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulted as dynamical systems and the convergence and stability properties of the methods are examined. Topics studied include the stability of numerical methods for contractive, dissipative, gradient and Hamiltonian systems together with the convergence properties of equilibria, periodic solutions and strage attractors under numerical approximation. This book will be an invaluable tool for graduate students and researchers in the fields of numerical analysis and dynamical systems.

A History of Numerical Analysis from the 16th through the 19th Century

A History of Numerical Analysis from the 16th through the 19th Century Book
Author : H. H. Goldstine
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1468494724
Language : En, Es, Fr & De

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Book Description :

In this book I have attempted to trace the development of numerical analysis during the period in which the foundations of the modern theory were being laid. To do this I have had to exercise a certain amount of selectivity in choosing and in rejecting both authors and papers. I have rather arbitrarily chosen, in the main, the most famous mathematicians of the period in question and have concentrated on their major works in numerical analysis at the expense, perhaps, of other lesser known but capable analysts. This selectivity results from the need to choose from a large body of literature, and from my feeling that almost by definition the great masters of mathematics were the ones responsible for the most significant accomplishments. In any event I must accept full responsibility for the choices. I would particularly like to acknowledge my thanks to Professor Otto Neugebauer for his help and inspiration in the preparation of this book. This consisted of many friendly discussions that I will always value. I should also like to express my deep appreciation to the International Business Machines Corporation of which I have the honor of being a Fellow and in particular to Dr. Ralph E. Gomory, its Vice-President for Research, for permitting me to undertake the writing of this book and for helping make it possible by his continuing encouragement and support.

INTRODUCTORY METHODS OF NUMERICAL ANALYSIS

INTRODUCTORY METHODS OF NUMERICAL ANALYSIS Book
Author : S. S. SASTRY
Publisher : PHI Learning Pvt. Ltd.
Release : 2012-06-12
ISBN : 8120345924
Language : En, Es, Fr & De

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Book Description :

This thoroughly revised and updated text, now in its fifth edition, continues to provide a rigorous introduction to the fundamentals of numerical methods required in scientific and technological applications, emphasizing on teaching students numerical methods and in helping them to develop problem-solving skills. While the essential features of the previous editions such as References to MATLAB, IMSL, Numerical Recipes program libraries for implementing the numerical methods are retained, a chapter on Spline Functions has been added in this edition because of their increasing importance in applications. This text is designed for undergraduate students of all branches of engineering. NEW TO THIS EDITION : Includes additional modified illustrative examples and problems in every chapter. Provides answers to all chapter-end exercises. Illustrates algorithms, computational steps or flow charts for many numerical methods. Contains four model question papers at the end of the text.

Introduction to Numerical Analysis

Introduction to Numerical Analysis Book
Author : Anonim
Publisher : Academic Publishers
Release : 2021-04-21
ISBN : 9788187504672
Language : En, Es, Fr & De

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Book Description :

Download Introduction to Numerical Analysis book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

A First Course in the Numerical Analysis of Differential Equations

A First Course in the Numerical Analysis of Differential Equations Book
Author : Arieh Iserles,University Lecturer Damtp A Iserles
Publisher : Cambridge University Press
Release : 1996-01-18
ISBN : 9780521556552
Language : En, Es, Fr & De

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Book Description :

Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The point of departure is mathematical but the exposition strives to maintain a balance between theoretical, algorithmic and applied aspects of the subject. In detail, topics covered include numerical solution of ordinary differential equations by multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; a variety of algorithms to solve large, sparse algebraic systems; methods for parabolic and hyperbolic differential equations and techniques of their analysis. The book is accompanied by an appendix that presents brief back-up in a number of mathematical topics. Dr Iserles concentrates on fundamentals: deriving methods from first principles, analysing them with a variety of mathematical techniques and occasionally discussing questions of implementation and applications. By doing so, he is able to lead the reader to theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations.

A First Course in Numerical Analysis

A First Course in Numerical Analysis Book
Author : Anthony Ralston,Philip Rabinowitz
Publisher : Courier Corporation
Release : 2001-01-01
ISBN : 9780486414546
Language : En, Es, Fr & De

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Book Description :

Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.

Numerical Analysis

Numerical Analysis Book
Author : David Ronald Kincaid,Elliott Ward Cheney
Publisher : American Mathematical Soc.
Release : 2002
ISBN : 0821847880
Language : En, Es, Fr & De

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Book Description :

This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.

Numerical Methods

Numerical Methods Book
Author : Anne Greenbaum,Timothy P. Chartier
Publisher : Princeton University Press
Release : 2012-04
ISBN : 0691151229
Language : En, Es, Fr & De

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Book Description :

Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering. Exercises use MATLAB and promote understanding of computational results. The book gives instructors the flexibility to emphasize different aspects--design, analysis, or computer implementation--of numerical algorithms, depending on the background and interests of students. Designed for upper-division undergraduates in mathematics or computer science classes, the textbook assumes that students have prior knowledge of linear algebra and calculus, although these topics are reviewed in the text. Short discussions of the history of numerical methods are interspersed throughout the chapters. The book also includes polynomial interpolation at Chebyshev points, use of the MATLAB package Chebfun, and a section on the fast Fourier transform. Supplementary materials are available online. Clear and concise exposition of standard numerical analysis topics Explores nontraditional topics, such as mathematical modeling and Monte Carlo methods Covers modern applications, including information retrieval and animation, and classical applications from physics and engineering Promotes understanding of computational results through MATLAB exercises Provides flexibility so instructors can emphasize mathematical or applied/computational aspects of numerical methods or a combination Includes recent results on polynomial interpolation at Chebyshev points and use of the MATLAB package Chebfun Short discussions of the history of numerical methods interspersed throughout Supplementary materials available online

Problems for the Numerical Analysis of the Future

Problems for the Numerical Analysis of the Future Book
Author : Institute for Numerical Analysis (U.S.)
Publisher : Unknown
Release : 1951
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Problems for the Numerical Analysis of the Future book written by Institute for Numerical Analysis (U.S.), available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Numerical Analysis of Pierce type Electron Guns

Numerical Analysis of Pierce type Electron Guns Book
Author : Richard T. CLOSE
Publisher : Unknown
Release : 1966
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Digital-computer programs have been used to analyze four Pierce-type electron guns. The numerical analysis has been very successful in identifying the deficiencies of the Pierce-design method when extrapolated to high perveances. It also has been possible to obtain radial phase-space diagrams for the beams from each of the electron guns studied. From these diagrams and by the use of several other computer programs, an estimate of the transverse energy distribution of the electron beams has been made. It has been found that the major contribution to the random transverse energy must be of nonthermal origin. (Author).

Problems for the Numerical Analysis of the Future

Problems for the Numerical Analysis of the Future Book
Author : Institute for Numerical Analysis (U.S.)
Publisher : Unknown
Release : 1951
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Problems for the Numerical Analysis of the Future book written by Institute for Numerical Analysis (U.S.), available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.