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Numerical Methods

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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

Numerical Methods that Work

Numerical Methods that Work Book
Author : Forman S. Acton
Publisher : American Mathematical Soc.
Release : 2020-07-31
ISBN : 147045727X
Language : En, Es, Fr & De

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Book Description :

Download Numerical Methods that Work book written by Forman S. Acton, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Numerical Methods

Numerical Methods Book
Author : Balagurusamy
Publisher : Tata McGraw-Hill Education
Release : 1999-07-01
ISBN : 9780074633113
Language : En, Es, Fr & De

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Book Description :

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

Numerical Methods for Scientists and Engineers

Numerical Methods for Scientists and Engineers Book
Author : Richard Hamming
Publisher : Courier Corporation
Release : 2012-04-25
ISBN : 0486134822
Language : En, Es, Fr & De

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Book Description :

This inexpensive paperback edition of a groundbreaking text stresses frequency approach in coverage of algorithms, polynomial approximation, Fourier approximation, exponential approximation, and other topics. Revised and enlarged 2nd edition.

Numerical Methods in Economics

Numerical Methods in Economics Book
Author : Kenneth L. Judd,Kenneth L.. Judd
Publisher : MIT Press
Release : 1998
ISBN : 9780262100717
Language : En, Es, Fr & De

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Book Description :

To harness the full power of computer technology, economists need to use a broad range of mathematical techniques. In this book, Kenneth Judd presents techniques from the numerical analysis and applied mathematics literatures and shows how to use them in economic analyses. The book is divided into five parts. Part I provides a general introduction. Part II presents basics from numerical analysis on R^n, including linear equations, iterative methods, optimization, nonlinear equations, approximation methods, numerical integration and differentiation, and Monte Carlo methods. Part III covers methods for dynamic problems, including finite difference methods, projection methods, and numerical dynamic programming. Part IV covers perturbation and asymptotic solution methods. Finally, Part V covers applications to dynamic equilibrium analysis, including solution methods for perfect foresight models and rational expectation models. A website contains supplementary material including programs and answers to exercises.

Numerical Methods

Numerical Methods Book
Author : Prof. K. Sambaiah
Publisher : White Falcon Publishing
Release : 2020-07-02
ISBN : 9389932254
Language : En, Es, Fr & De

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Book Description :

One of the important features of this book lies in introducing the procedures like algorithms to implement each of the numerical method were given in the book. Also some shortcut methods have been given to solve the boundary value problems. Many examples have been given in the chapters to inculcate the concepts of numerical methods in the students. This book is useful the students of B.Sc./M.Sc./B.Tech./M.Tech. and research scholars. In this book we discussed types of errors, interpolation, numerical differentiation, numerical integration, numerical solutions of differential equation, curve fitting, approximation of functions, methods of solving algebraic and transcendental equations and their convergence, solution of system of linear equations. Further the different methods of finding the eigen values and eigen vectors of a matrix have been discussed. The solutions of difference equations have been discussed. Finally, the solutions of boundary value problems have been discussed and short-cut methods are introduced to solve boundary value problems.

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.

Numerical Methods 4th

Numerical Methods  4th Book
Author : J. Douglas Faires,Richard L. Burden
Publisher : Cengage Learning
Release : 2012-04-23
ISBN : 1285402464
Language : En, Es, Fr & De

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Book Description :

NUMERICAL METHODS, Fourth Edition emphasizes the intelligent application of approximation techniques to the type of problems that commonly occur in engineering and the physical sciences. Readers learn why the numerical methods work, what kinds of errors to expect, and when an application might lead to difficulties. The authors also provide information about the availability of high-quality software for numerical approximation routines. The techniques are the same as those covered in the authors' top-selling Numerical Analysis text, but this text provides an overview for students who need to know the methods without having to perform the analysis. This concise approach still includes mathematical justifications, but only when they are necessary to understand the methods. The emphasis is placed on describing each technique from an implementation standpoint, and on convincing the reader that the method is reasonable both mathematically and computationally. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Numerical Methods

Numerical Methods Book
Author : Babu Ram
Publisher : Pearson Education India
Release : 2009
ISBN : 9788131732212
Language : En, Es, Fr & De

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Book Description :

Numerical Methods is a mathematical tool used by engineers and mathematicians to do scientific calculations. It is used to find solutions to applied problems where ordinary analytical methods fail. This book is intended to serve for the needs of courses in Numerical Methods at the Bachelors' and Masters' levels at various universities.

Numerical Methods for Engineers and Scientists Second Edition

Numerical Methods for Engineers and Scientists  Second Edition  Book
Author : Joe D. Hoffman,Steven Frankel
Publisher : CRC Press
Release : 2001-05-31
ISBN : 9780824704438
Language : En, Es, Fr & De

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Book Description :

Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book "...a good, solid instructional text on the basic tools of numerical analysis."

Numerical Methods

Numerical Methods Book
Author : Anonim
Publisher : Tata McGraw-Hill Education
Release : 2013
ISBN : 1259062589
Language : En, Es, Fr & De

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Book Description :

Provides comprehensive coverage to topics such as interpolation, approximation, numerical differentiation and integration, linear systems, Eigen values and Eigen vectors, solutions of ODE and PDE, recurrence relation and least square fitting.

Numerical Methods As Per Anna University

Numerical Methods  As Per Anna University  Book
Author : Satteluri R. K. Iyengar,Rajendra Kumar Jain
Publisher : New Age International
Release : 2009-01-01
ISBN : 8122426107
Language : En, Es, Fr & De

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Book Description :

About the Book: This comprehensive textbook covers material for one semester course on Numerical Methods (MA 1251) for B.E./ B. Tech. students of Anna University. The emphasis in the book is on the presentation of fundamentals and theoretical concepts in an intelligible and easy to understand manner. The book is written as a textbook rather than as a problem/guide book. The textbook offers a logical presentation of both the theory and techniques for problem solving to motivate the students in the study and application of Numerical Methods. Examples and Problems in Exercises are used to explain.

Numerical Methods

Numerical Methods Book
Author : M. D. PETALE
Publisher : MANGESH DEVIDASRAO PETALE
Release : 2021-05-17
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Purpose of this Book The purpose of this book is to supply lots of examples with details solution that helps the students to understand each example step wise easily and get rid of the college assignments phobia. It is sincerely hoped that this book will help and better equipped the higher secondary students to prepare and face the examinations with better confidence. I have endeavored to present the book in a lucid manner which will be easier to understand by all the engineering students. About the Book According to many streams in engineering course there are different chapters in Engineering Mathematics of the same year according to the streams. Hence students faced problem about to buy Engineering Mathematics special book that covered all chapters in a single book. That’s reason student needs to buy many books to cover all chapters according to the prescribed syllabus. Hence need to spend more money for a single subject to cover complete syllabus. So here good news for you, your problem solved. I made here special books according to chapter wise, which helps to buy books according to chapters and no need to pay extra money for unneeded chapters that not mentioned in your syllabus. PREFACE It gives me great pleasure to present to you this book on A Textbook on “Numerical Methods” of Engineering Mathematics presented specially for you. Many books have been written on Engineering Mathematics by different authors and teachers, but majority of the students find it difficult to fully understand the examples in these books. Also, the Teachers have faced many problems due to paucity of time and classroom workload. Sometimes the college teacher is not able to help their own student in solving many difficult questions in the class even though they wish to do so. Keeping in mind the need of the students, the author was inspired to write a suitable text book providing solutions to various examples of “Numerical Methods” of Engineering Mathematics. It is hoped that this book will meet more than an adequately the needs of the students they are meant for. I have tried our level best to make this book error free.

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.

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 Methods for Ordinary Differential Equations

Numerical Methods for Ordinary Differential Equations Book
Author : J. C. Butcher
Publisher : John Wiley & Sons
Release : 2008-04-15
ISBN : 9780470753750
Language : En, Es, Fr & De

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Book Description :

In recent years the study of numerical methods for solving ordinary differential equations has seen many new developments. This second edition of the author's pioneering text is fully revised and updated to acknowledge many of these developments. It includes a complete treatment of linear multistep methods whilst maintaining its unique and comprehensive emphasis on Runge-Kutta methods and general linear methods. Although the specialist topics are taken to an advanced level, the entry point to the volume as a whole is not especially demanding. Early chapters provide a wide-ranging introduction to differential equations and difference equations together with a survey of numerical differential equation methods, based on the fundamental Euler method with more sophisticated methods presented as generalizations of Euler. Features of the book include Introductory work on differential and difference equations. A comprehensive introduction to the theory and practice of solving ordinary differential equations numerically. A detailed analysis of Runge-Kutta methods and of linear multistep methods. A complete study of general linear methods from both theoretical and practical points of view. The latest results on practical general linear methods and their implementation. A balance between informal discussion and rigorous mathematical style. Examples and exercises integrated into each chapter enhancing the suitability of the book as a course text or a self-study treatise. Written in a lucid style by one of the worlds leading authorities on numerical methods for ordinary differential equations and drawing upon his vast experience, this new edition provides an accessible and self-contained introduction, ideal for researchers and students following courses on numerical methods, engineering and other sciences.

Application of Numerical Methods for Soil structure Interaction Problems

Application of Numerical Methods for Soil structure Interaction Problems Book
Author : Francisco Ambriz
Publisher : Unknown
Release : 2011
ISBN : 9781124993560
Language : En, Es, Fr & De

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Book Description :

Abstract: Soil-structure interaction is the interdependence between the foundation structure and subsoil after any static or dynamic solicitation is applied on the surface. Laws of physics that govern the soil mass behavior, soil properties and theory of elasticity simplifications are taken into account to model the foundation structure and subsoil. Foundation structures can satisfactorily be modeled as linearly elastic, homogeneous and isotropic materials. However, soil deposits are more difficult to model due to the way they are deposited in nature (layers of material with different properties). Analytical and numerical techniques have been used to solve these kinds of problems. In this work, a finite element method (FEM) model, using MATLAB, was developed to solve soil-structure interaction problems. Results obtained from this model were compared with results obtained from an analysis made with a coupled finite-boundary element method program (FEM-BEM). Two examples are presented to validate the results obtained from the analysis. The first example was devoted to calibrate the accuracy of the program using the pure FEM results and results obtained from the coupled FEM-BEM. The second example focused on comparing the accuracy of the program using an analytical solution.

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 FOR SCIENTISTS AND ENGINEERS FOURTH EDITION

NUMERICAL METHODS FOR SCIENTISTS AND ENGINEERS  FOURTH EDITION Book
Author : Rao, K. Sankara
Publisher : PHI Learning Pvt. Ltd.
Release : 2017-12-01
ISBN : 8193593898
Language : En, Es, Fr & De

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Book Description :

With a clarity of approach, this easy-to-comprehend book gives an in-depth analysis of the topics under Numerical Methods, in a systematic manner. Primarily intended for the undergraduate and postgraduate students in many branches of engineering, physics, mathematics and all those pursuing Bachelors/Masters in computer applications. Besides students, those appearing for competitive examinations, research scholars and professionals engaged in numerical computation will also be benefited by this book. The fourth edition of this book has been updated by adding a current topic of interest on Finite Element Methods, which is a versatile method to solve numerically, several problems that arise in engineering design, claiming many advantages over the existing methods. Besides, it introduces the basics in computing, discusses various direct and iterative methods for solving algebraic and transcendental equations and a system of non-linear equations, linear system of equations, matrix inversion and computation of eigenvalues and eigenvectors of a matrix. It also provides a detailed discussion on Curve fitting, Interpolation, Numerical Differentiation and Integration besides explaining various single step and predictor–corrector methods for solving ordinary differential equations, finite difference methods for solving partial differential equations, and numerical methods for solving Boundary Value Problems. Fourier series approximation to a real continuous function is also presented. The text is augmented with a plethora of examples and solved problems along with well-illustrated figures for a practical understanding of the subject. Chapter-end exercises with answers and a detailed bibliography have also been provided. NEW TO THIS EDITION • Includes two new chapters on the basic concepts of the Finite Element Method and Coordinate Systems in Finite Element Methods with Applications in Heat Transfer and Structural Mechanics. • Provides more than 350 examples including numerous worked-out problems. • Gives detailed solutions and hints to problems under Exercises.

An Introduction to Numerical Methods

An Introduction to Numerical Methods Book
Author : Abdelwahab Kharab,Ronald B. Guenther
Publisher : CRC Press
Release : 2011-11-16
ISBN : 1439868999
Language : En, Es, Fr & De

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Book Description :

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.