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Numerical Methods

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Analysis of Numerical Methods

Analysis of Numerical Methods Book
Author : Eugene Isaacson,Herbert Bishop Keller
Publisher : Courier Corporation
Release : 1994-06-07
ISBN : 9780486680293
Language : En, Es, Fr & De

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Book Description :

This excellent text for advanced undergraduate and graduate students covers norms, numerical solutions of linear systems and matrix factoring, eigenvalues and eigenvectors, polynomial approximation, and more. Many examples and problems. 1966 edition.

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 with MATLAB

Numerical Methods with MATLAB Book
Author : Gerald W. Recktenwald
Publisher : Pearson
Release : 2000
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This thorough, modern exposition of classic numerical methods using MATLAB briefly develops the fundamental theory of each method. Rather than providing a detailed numerical analysis, the behavior of the methods is exposed by carefully designed numerical experiments. The methods are then exercised on several nontrivial example problems from engineering practice. KEY TOPICS: This structured, concise, and efficient book contains a large number of examples of two basic types--One type of example demonstrates a principle or numerical method in the simplest possible terms. Another type of example demonstrates how a particular method can be used to solve a more complex practical problem. The material in each chapter is organized as a progression from the simple to the complex. Contains an extensive reference to using MATLAB. This includes interactive (command line) use of MATLAB, MATLAB programming, plotting, file input and output. MARKET: For a practical and rigorous introduction to the fundamentals of numerical computation.

Numerical Methods that Work

Numerical Methods that Work Book
Author : Forman S. Acton
Publisher : MAA
Release : 1990
ISBN : 9780883854501
Language : En, Es, Fr & De

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Book Description :

A commonsense approach to numerical algorithms for the solution of equations.

Numerical Methods for Engineers and Scientists Using MATLAB

Numerical Methods for Engineers and Scientists Using MATLAB   Book
Author : Ramin S. Esfandiari
Publisher : CRC Press
Release : 2013-06-04
ISBN : 1466585692
Language : En, Es, Fr & De

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Book Description :

Designed to benefit scientific and engineering applications, Numerical Methods for Engineers and Scientists Using MATLAB® focuses on the fundamentals of numerical methods while making use of MATLAB software. The book introduces MATLAB early on and incorporates it throughout the chapters to perform symbolic, graphical, and numerical tasks. The text covers a variety of methods from curve fitting to solving ordinary and partial differential equations. Provides fully worked-out examples showing all details Confirms results through the execution of the user-defined function or the script file Executes built-in functions for re-confirmation, when available Generates plots regularly to shed light on the soundness and significance of the numerical results Created to be user-friendly and easily understandable, Numerical Methods for Engineers and Scientists Using MATLAB® provides background material and a broad introduction to the essentials of MATLAB, specifically its use with numerical methods. Building on this foundation, it introduces techniques for solving equations and focuses on curve fitting and interpolation techniques. It addresses numerical differentiation and integration methods, presents numerical methods for solving initial-value and boundary-value problems, and discusses the matrix eigenvalue problem, which entails numerical methods to approximate a few or all eigenvalues of a matrix. The book then deals with the numerical solution of partial differential equations, specifically those that frequently arise in engineering and science. The book presents a user-defined function or a MATLAB script file for each method, followed by at least one fully worked-out example. When available, MATLAB built-in functions are executed for confirmation of the results. A large set of exercises of varying levels of difficulty appears at the end of each chapter. The concise approach with strong, up-to-date MATLAB integration provided by this book affords readers a thorough knowledge of the fundamentals of numerical methods utilized in various disciplines.

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 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 for Elliptic and Parabolic Partial Differential Equations

Numerical Methods for Elliptic and Parabolic Partial Differential Equations Book
Author : Peter Knabner,Lutz Angerman
Publisher : Springer Science & Business Media
Release : 2003-06-26
ISBN : 038795449X
Language : En, Es, Fr & De

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Book Description :

This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises.

Numerical Methods Using MATLAB

Numerical Methods Using MATLAB Book
Author : John H. Mathews,Kurtis D. Fink
Publisher : Pearson College Division
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Balancing theory with practice, this is an introductory text for undergraduates in mathematics, science and engineering. Illustrated throughout with graphs and tables, the fourth edition contains many new features, and each numerical method is presented in a self-contained format.

Operator Theory and Numerical Methods

Operator Theory and Numerical Methods Book
Author : H. Fujita,N. Saito,T. Suzuki
Publisher : Elsevier
Release : 2001-07-03
ISBN : 0080538029
Language : En, Es, Fr & De

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Book Description :

In accordance with the developments in computation, theoretical studies on numerical schemes are now fruitful and highly needed. In 1991 an article on the finite element method applied to evolutionary problems was published. Following the method, basically this book studies various schemes from operator theoretical points of view. Many parts are devoted to the finite element method, but other schemes and problems (charge simulation method, domain decomposition method, nonlinear problems, and so forth) are also discussed, motivated by the observation that practically useful schemes have fine mathematical structures and the converses are also true.

C Language And Numerical Methods

C Language And Numerical Methods Book
Author : C. Xavier
Publisher : New Age International
Release : 2007
ISBN : 9788122411744
Language : En, Es, Fr & De

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Book Description :

C Language Is The Popular Tool Used To Write Programs For Numerical Methods. Because Of The Importance Of Numerical Methods In Scientific Industrial And Social Research.C Language And Numerical Methods Is Taught Almost In All Graduate And Postgraduate Programs Of Engineering As Well As Science. In This Book, The Structures Of C Language Which Are Essential To Develop Numerical Methods Programs Are First Introduced In Chapters 1 To 7. These Concepts Are Explained With Appropriate Examples In A Simple Style. The Rest Of The Book Is Devoted For Numerical Methods. In Each Of The Topic On Numerical Methods, The Subject Is Presented In Four Steps, Namely, Theory, Numerical Examples And Solved Problems, Algorithms And Complete C Program With Computer Output Sheets. In Each Of These Chapters, A Number Of Solved Problems And Review Questions Are Given As A Drill Work On The Subject. In Appendix The Answers To Some Of The Review Questions Are Given.

Numerical Methods for Engineers and Scientists

Numerical Methods for Engineers and Scientists Book
Author : Amos Gilat,Vish Subramaniam
Publisher : John Wiley & Sons Incorporated
Release : 2008
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Following a unique approach, this innovative book integrates the learning of numerical methods with practicing computer programming and using software tools in applications. It covers the fundamentals while emphasizing the most essential methods throughout the pages. Readers are also given the opportunity to enhance their programming skills using MATLAB to implement algorithms. They'll discover how to use this tool to solve problems in science and engineering.

Numerical Methods in Scientific Computing

Numerical Methods in Scientific Computing Book
Author : Germund Dahlquist,Åke Björck
Publisher : SIAM
Release : 2008
ISBN : 0898717787
Language : En, Es, Fr & De

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Book Description :

This new book from the authors of the classic book Numerical methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume. A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB multiple precision package; and a guide to literature, algorithms, and software in numerical analysis. Review questions, problems, and computer exercises are also included. For use in an introductory graduate course in numerical analysis and for researchers who use numerical methods in science and engineering.

Computational Engineering Introduction to Numerical Methods

Computational Engineering   Introduction to Numerical Methods Book
Author : Michael Schäfer
Publisher : Springer Science & Business Media
Release : 2006-02-20
ISBN : 9783540306856
Language : En, Es, Fr & De

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Book Description :

This book is an introduction to modern numerical methods in engineering. It covers applications in fluid mechanics, structural mechanics, and heat transfer as the most relevant fields for engineering disciplines such as computational engineering, scientific computing, mechanical engineering as well as chemical and civil engineering. The content covers all aspects in the interdisciplinary field which are essential for an ''up-to-date'' engineer.

Numerical Methods for Nonlinear Variational Problems

Numerical Methods for Nonlinear Variational Problems Book
Author : Roland Glowinski
Publisher : Springer
Release : 2013-10-03
ISBN : 9783662126158
Language : En, Es, Fr & De

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Book Description :

This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, and nonlinear least square methods are all covered in detail, as are many applications. This volume is a classic in a long-awaited softcover re-edition.

Numerical Methods in Multibody Dynamics

Numerical Methods in Multibody Dynamics Book
Author : Claus Fuhrer
Publisher : Vieweg+Teubner Verlag
Release : 2013-11-13
ISBN : 9783663098300
Language : En, Es, Fr & De

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Book Description :

The important interaction between modeling and solution techniques is demonstrated by using a simplified multibody model of a truck thoughout the book to illustrate all key concepts.

Numerical Methods

Numerical Methods Book
Author : E. A. Volkov
Publisher : Taylor & Francis
Release : 1990
ISBN : 9781560320111
Language : En, Es, Fr & De

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Book Description :

First published in 1990. Routledge is an imprint of Taylor & Francis, an informa company.

Numerical Methods for Conservation Laws

Numerical Methods for Conservation Laws Book
Author : Randall J. LeVeque
Publisher : Springer Science & Business Media
Release : 1992
ISBN : 9783764327231
Language : En, Es, Fr & De

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Book Description :

These notes were developed for a graduate-level course on the theory and numerical solution of nonlinear hyperbolic systems of conservation laws. Part I deals with the basic mathematical theory of the equations: the notion of weak solutions, entropy conditions, and a detailed description of the wave structure of solutions to the Riemann problem. The emphasis is on tools and techniques that are indispensable in developing good numerical methods for discontinuous solutions. Part II is devoted to the development of high resolution shock-capturing methods, including the theory of total variation diminishing (TVD) methods and the use of limiter functions. The book is intended for a wide audience, and will be of use both to numerical analysts and to computational researchers in a variety of applications.

Numerical Methods in Economics

Numerical Methods in Economics Book
Author : Kenneth L. Judd
Publisher : MIT Press
Release : 1998-09-28
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.