Numerical Analysis

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Introductory Numerical Analysis

Author : Mircea Andrecut
Publisher : Universal-Publishers
ISBN 13 : 9781581127577
Total Pages : 204 pages
Book Rating : 4.1/5 (275 download)

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Book Synopsis Introductory Numerical Analysis by : Mircea Andrecut

Download or read book Introductory Numerical Analysis written by Mircea Andrecut and published by Universal-Publishers. This book was released on 2000-02 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Synopsis The aim of this book is to provide a simple and useful introduction for the fresh students into the vast field of numerical analysis. Like any other introductory course on numerical analysis, this book contains the basic theory, which in the present text refers to the following topics: linear equations, nonlinear equations, eigensystems, interpolation, approximation of functions, numerical differentiation and integration, stochastics, ordinary differential equations and partial differential equations. Because the students need to quickly understand why the numerical methods correctly work, the proofs of theorems were shorted as possible, insisting more on ideas than on a lot of algebra manipulation. The included examples are presented with a minimum of complications, emphasizing the steps of the algorithms. The numerical methods described in this book are illustrated by computer programs written in C. Our goal was to develop very simple programs which are easily to read and understand by students. Also, the programs should run without modification on any compiler that implements the ANSI C standard. Because our intention was to easily produce screen input-output (using, scanf and printf), in case of WINDOWS visual programming environments, like Visual C++ (Microsoft) and Borland C++ Builder, the project should be console-application. This will be not a problem for DOS and LINUX compilers. If this material is used as a teaching aid in a class, I would appreciate if under such circumstances, the instructor of such a class would send me a note at the address below informing me if the material is useful. Also, I would appreciate any suggestions or constructive criticism regarding the content of these lecture notes.

Guidelines for the Use of Advanced Numerical Analysis

Author : David Potts
Publisher : Thomas Telford
ISBN 13 : 0727731254
Total Pages : 188 pages
Book Rating : 4.7/5 (277 download)

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Book Synopsis Guidelines for the Use of Advanced Numerical Analysis by : David Potts

Download or read book Guidelines for the Use of Advanced Numerical Analysis written by David Potts and published by Thomas Telford. This book was released on 2002 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is not easy for engineers to gain all the skills necessary to perform numerical analysis. This book is an authoritative guide that explains in detail the potential restrictions and pitfalls and so help engineers undertake advanced numerical analysis. It discusses the major approximations involved in nonlinear numerical analysis and describes some of the more popular constituitive models currently available and explores their strengths and weaknesses. It also discusses the determination of material parameters for defining soil behaviour, investigates the options for modelling structural components and their interface with the soil and the boundary conditions that are appropriate in geotechnical analysis and the assumptions implied when they are used. Guidelines for the use of Advanced Numerical Analysis also provides guidelines for best practice of specific types of soil-structure interaction that are common in urban development and discusses the role of benchmarking exercises. This authoritative book will be invaluable to practising engineers involved in urban development. It will also be useful tool for geotechnical and structural engineers.

The Birth of Numerical Analysis

Author : Adhemar Bultheel
Publisher : World Scientific
ISBN 13 : 9812836268
Total Pages : 240 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis The Birth of Numerical Analysis by : Adhemar Bultheel

Download or read book The Birth of Numerical Analysis written by Adhemar Bultheel and published by World Scientific. This book was released on 2010 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1947 paper by John von Neumann and Herman Goldstine, OC Numerical Inverting of Matrices of High OrderOCO ( Bulletin of the AMS, Nov. 1947), is considered as the birth certificate of numerical analysis. Since its publication, the evolution of this domain has been enormous. This book is a unique collection of contributions by researchers who have lived through this evolution, testifying about their personal experiences and sketching the evolution of their respective subdomains since the early years. Sample Chapter(s). Chapter 1: Some pioneers of extrapolation methods (323 KB). Contents: Some Pioneers of Extrapolation Methods (C Brezinski); Very Basic Multidimensional Extrapolation Quadrature (J N Lyness); Numerical Methods for Ordinary Differential Equations: Early Days (J C Butcher); Interview with Herbert Bishop Keller (H M Osinga); A Personal Perspective on the History of the Numerical Analysis of Fredholm Integral Equations of the Second Kind (K Atkinson); Memoires on Building on General Purpose Numerical Algorithms Library (B Ford); Recent Trends in High Performance Computing (J J Dongarra et al.); Nonnegativity Constraints in Numerical Analysis (D-H Chen & R J Plemmons); On Nonlinear Optimization Since 1959 (M J D Powell); The History and Development of Numerical Analysis in Scotland: A Personal Perspective (G Alistair Watson); Remembering Philip Rabinowitz (P J Davis & A S Fraenkel); My Early Experiences with Scientific Computation (P J Davis); Applications of Chebyshev Polynomials: From Theoretical Kinematics to Practical Computations (R Piessens). Readership: Mathematicians in numerical analysis and mathematicians who are interested in the history of mathematics.

Classical Numerical Analysis

Author : Abner J. Salgado
Publisher : Cambridge University Press
ISBN 13 : 1108837700
Total Pages : 937 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Classical Numerical Analysis by : Abner J. Salgado

Download or read book Classical Numerical Analysis written by Abner J. Salgado and published by Cambridge University Press. This book was released on 2022-10-31 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough introduction to graduate classical numerical analysis, with all important topics covered rigorously.

Numerical Analysis

Author : D.F. Griffiths
Publisher : Springer
ISBN 13 : 3540388818
Total Pages : 288 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Numerical Analysis by : D.F. Griffiths

Download or read book Numerical Analysis written by D.F. Griffiths and published by Springer. This book was released on 2006-12-08 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Analysis

Author : J.P. Hennart
Publisher : Springer
ISBN 13 : 3540389865
Total Pages : 258 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Numerical Analysis by : J.P. Hennart

Download or read book Numerical Analysis written by J.P. Hennart and published by Springer. This book was released on 2006-11-14 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: a

Introduction to Numerical Analysis

Author : Simone Malacrida
Publisher : Simone Malacrida
ISBN 13 :
Total Pages : 55 pages
Book Rating : 4.2/5 (22 download)

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Book Synopsis Introduction to Numerical Analysis by : Simone Malacrida

Download or read book Introduction to Numerical Analysis written by Simone Malacrida and published by Simone Malacrida. This book was released on 2022-12-15 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of numerical analysis is set forth in this book: elementary numerical calculus interpolation of functions finite difference method finite element method

Numerical Analysis and Optimization

Author : Mehiddin Al-Baali
Publisher : Springer Nature
ISBN 13 : 3030720403
Total Pages : 307 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Numerical Analysis and Optimization by : Mehiddin Al-Baali

Download or read book Numerical Analysis and Optimization written by Mehiddin Al-Baali and published by Springer Nature. This book was released on 2021-12-01 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers selected, peer-reviewed contributions presented at the Fifth International Conference on Numerical Analysis and Optimization (NAO-V), which was held at Sultan Qaboos University, Oman, on January 6-9, 2020. Each chapter reports on developments in key fields, such as numerical analysis, numerical optimization, numerical linear algebra, numerical differential equations, optimal control, approximation theory, applied mathematics, derivative-free optimization methods, programming models, and challenging applications that frequently arise in statistics, econometrics, finance, physics, medicine, biology, engineering and industry. Many real-world, complex problems can be formulated as optimization tasks, and can be characterized further as large scale, unconstrained, constrained, non-convex, nondifferentiable or discontinuous, and therefore require adequate computational methods, algorithms and software tools. These same tools are often employed by researchers working in current IT hot topics, such as big data, optimization and other complex numerical algorithms in the cloud, devising special techniques for supercomputing systems. This interdisciplinary view permeates the work included in this volume. The NAO conference series is held every three years at Sultan Qaboos University, with the aim of bringing together a group of international experts and presenting novel and advanced applications to facilitate interdisciplinary studies among pure scientific and applied knowledge. It is a venue where prominent scientists gather to share innovative ideas and know-how relating to new scientific methodologies, to promote scientific exchange, to discuss possible future cooperations, and to promote the mobility of local and young researchers.

Numerical Analysis for Applied Science

Author : Myron B. Allen, III
Publisher : John Wiley & Sons
ISBN 13 : 1119245664
Total Pages : 592 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Numerical Analysis for Applied Science by : Myron B. Allen, III

Download or read book Numerical Analysis for Applied Science written by Myron B. Allen, III and published by John Wiley & Sons. This book was released on 2019-04-05 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pragmatic and Adaptable Textbook Meets the Needs of Students and Instructors from Diverse Fields Numerical analysis is a core subject in data science and an essential tool for applied mathematicians, engineers, and physical and biological scientists. This updated and expanded edition of Numerical Analysis for Applied Science follows the tradition of its precursor by providing a modern, flexible approach to the theory and practical applications of the field. As before, the authors emphasize the motivation, construction, and practical considerations before presenting rigorous theoretical analysis. This approach allows instructors to adapt the textbook to a spectrum of uses, ranging from one-semester, methods-oriented courses to multi-semester theoretical courses. The book includes an expanded first chapter reviewing useful tools from analysis and linear algebra. Subsequent chapters include clearly structured expositions covering the motivation, practical considerations, and theory for each class of methods. The book includes over 250 problems exploring practical and theoretical questions and 32 pseudocodes to help students implement the methods. Other notable features include: A preface providing advice for instructors on using the text for a single semester course or multiple-semester sequence of courses Discussion of topics covered infrequently by other texts at this level, such as multidimensional interpolation, quasi-Newton methods in several variables, multigrid methods, preconditioned conjugate-gradient methods, finite-difference methods for partial differential equations, and an introduction to finite-element theory New topics and expanded treatment of existing topics to address developments in the field since publication of the first edition More than twice as many computational and theoretical exercises as the first edition. Numerical Analysis for Applied Science, Second Edition provides an excellent foundation for graduate and advanced undergraduate courses in numerical methods and numerical analysis. It is also an accessible introduction to the subject for students pursuing independent study in applied mathematics, engineering, and the physical and life sciences and a valuable reference for professionals in these areas.

Numerical Analysis of Pierce-type Electron Guns

Author : Richard T. Close
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Numerical Analysis of Pierce-type Electron Guns by : Richard T. Close

Download or read book Numerical Analysis of Pierce-type Electron Guns written by Richard T. Close and published by . This book was released on 1966 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Introduction to Numerical Analysis

Author : Francis Begnaud Hildebrand
Publisher : Courier Corporation
ISBN 13 : 0486653633
Total Pages : 708 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Introduction to Numerical Analysis by : Francis Begnaud Hildebrand

Download or read book Introduction to Numerical Analysis written by Francis Begnaud Hildebrand and published by Courier Corporation. This book was released on 1987-01-01 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ultimate aim of the field of numerical analysis is to provide convenient methods for obtaining useful solutions to mathematical problems and for extracting useful information from available solutions which are not expressed in tractable forms. This well-known, highly respected volume provides an introduction to the fundamental processes of numerical analysis, including substantial grounding in the basic operations of computation, approximation, interpolation, numerical differentiation and integration, and the numerical solution of equations, as well as in applications to such processes as the smoothing of data, the numerical summation of series, and the numerical solution of ordinary differential equations. Chapter headings include: l. Introduction 2. Interpolation with Divided Differences 3. Lagrangian Methods 4. Finite-Difference Interpolation 5. Operations with Finite Differences 6. Numerical Solution of Differential Equations 7. Least-Squares Polynomial Approximation In this revised and updated second edition, Professor Hildebrand (Emeritus, Mathematics, MIT) made a special effort to include more recent significant developments in the field, increasing the focus on concepts and procedures associated with computers. This new material includes discussions of machine errors and recursive calculation, increased emphasis on the midpoint rule and the consideration of Romberg integration and the classical Filon integration; a modified treatment of prediction-correction methods and the addition of Hamming's method, and numerous other important topics. In addition, reference lists have been expanded and updated, and more than 150 new problems have been added. Widely considered the classic book in the field, Hildebrand's Introduction to Numerical Analysis is aimed at advanced undergraduate and graduate students, or the general reader in search of a strong, clear introduction to the theory and analysis of numbers.

Fundamentals of Engineering Numerical Analysis

Author : Parviz Moin
Publisher : Cambridge University Press
ISBN 13 : 1139489550
Total Pages : pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Fundamentals of Engineering Numerical Analysis by : Parviz Moin

Download or read book Fundamentals of Engineering Numerical Analysis written by Parviz Moin and published by Cambridge University Press. This book was released on 2010-08-23 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs for all the worked examples are now available at www.cambridge.org/Moin, and more than 30 exercises have been added. This thorough and practical book is intended as a first course in numerical analysis, primarily for new graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods.

Numerical Analysis and Modelling in Geomechanics

Author : John W. Bull
Publisher : CRC Press
ISBN 13 : 0203471288
Total Pages : 397 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Numerical Analysis and Modelling in Geomechanics by : John W. Bull

Download or read book Numerical Analysis and Modelling in Geomechanics written by John W. Bull and published by CRC Press. This book was released on 2003-09-02 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: In geomechanics, existing design methods are very much dependent upon sophisticated on-site techniques to assess ground conditions. This book describes numerical analysis, computer simulation and modelling that can be used to answer some highly complex questions associated with geomechanics. The contributors, who are all international experts in the field, also give insights into the future directions of these methods. Numerical Analysis and Modelling in Geomechanics will appeal to professional engineers involved in designing and building both onshore and offshore structures, where geomechanical considerations may well be outside the usual codes of practice, and therefore specialist advice is required. Postgraduate researchers, degree students carrying out project work in this area will also find the book an invaluable resource.

Advances in Numerical Analysis Emphasizing Interval Data

Author : Tofigh Allahviranloo
Publisher : CRC Press
ISBN 13 : 1000540316
Total Pages : 135 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Advances in Numerical Analysis Emphasizing Interval Data by : Tofigh Allahviranloo

Download or read book Advances in Numerical Analysis Emphasizing Interval Data written by Tofigh Allahviranloo and published by CRC Press. This book was released on 2022-02-18 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical analysis forms a cornerstone of numeric computing and optimization, in particular recently, interval numerical computations play an important role in these topics. The interest of researchers in computations involving uncertain data, namely interval data opens new avenues in coping with real-world problems and deliver innovative and efficient solutions. This book provides the basic theoretical foundations of numerical methods, discusses key technique classes, explains improvements and improvements, and provides insights into recent developments and challenges. The theoretical parts of numerical methods, including the concept of interval approximation theory, are introduced and explained in detail. In general, the key features of the book include an up-to-date and focused treatise on error analysis in calculations, in particular the comprehensive and systematic treatment of error propagation mechanisms, considerations on the quality of data involved in numerical calculations, and a thorough discussion of interval approximation theory. Moreover, this book focuses on approximation theory and its development from the perspective of linear algebra, and new and regular representations of numerical integration and their solutions are enhanced by error analysis as well. The book is unique in the sense that its content and organization will cater to several audiences, in particular graduate students, researchers, and practitioners.

Using R for Numerical Analysis in Science and Engineering

Author : Victor A. Bloomfield
Publisher : CRC Press
ISBN 13 : 1439884498
Total Pages : 359 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Using R for Numerical Analysis in Science and Engineering by : Victor A. Bloomfield

Download or read book Using R for Numerical Analysis in Science and Engineering written by Victor A. Bloomfield and published by CRC Press. This book was released on 2014-04-24 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instead of presenting the standard theoretical treatments that underlie the various numerical methods used by scientists and engineers, Using R for Numerical Analysis in Science and Engineering shows how to use R and its add-on packages to obtain numerical solutions to the complex mathematical problems commonly faced by scientists and engineers. This practical guide to the capabilities of R demonstrates Monte Carlo, stochastic, deterministic, and other numerical methods through an abundance of worked examples and code, covering the solution of systems of linear algebraic equations and nonlinear equations as well as ordinary differential equations and partial differential equations. It not only shows how to use R’s powerful graphic tools to construct the types of plots most useful in scientific and engineering work, but also: Explains how to statistically analyze and fit data to linear and nonlinear models Explores numerical differentiation, integration, and optimization Describes how to find eigenvalues and eigenfunctions Discusses interpolation and curve fitting Considers the analysis of time series Using R for Numerical Analysis in Science and Engineering provides a solid introduction to the most useful numerical methods for scientific and engineering data analysis using R.

C* - Algebras and Numerical Analysis

Author : Ronald Hagen
Publisher : CRC Press
ISBN 13 : 9780824704605
Total Pages : 388 pages
Book Rating : 4.7/5 (46 download)

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Book Synopsis C* - Algebras and Numerical Analysis by : Ronald Hagen

Download or read book C* - Algebras and Numerical Analysis written by Ronald Hagen and published by CRC Press. This book was released on 2000-09-07 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Analyzes algebras of concrete approximation methods detailing prerequisites, local principles, and lifting theorems. Covers fractality and Fredholmness. Explains the phenomena of the asymptotic splitting of the singular values, and more."

Numerical Analysis: A R Mitchell 75th Birthday Volume

Author : D F Griffiths
Publisher : World Scientific
ISBN 13 : 9814498785
Total Pages : 380 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Numerical Analysis: A R Mitchell 75th Birthday Volume by : D F Griffiths

Download or read book Numerical Analysis: A R Mitchell 75th Birthday Volume written by D F Griffiths and published by World Scientific. This book was released on 1996-05-15 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is intended to mark the 75th birthday of A R Mitchell, of the University of Dundee. It consists of a collection of articles written by numerical analysts having links with Ron Mitchell, as colleagues, collaborators, former students, or as visitors to Dundee. Ron Mitchell is known for his books and articles contributing to the numerical analysis of partial differential equations; he has also made major contributions to the development of numerical analysis in the UK and abroad, and his many human qualitites are such that he is held in high regard and looked on with great affection by the numerical analysis community. The list of contributors is evidence of the esteem in which he is held, and of the way in which his influence has spread through his former students and fellow workers. In addition to contributions relevant to his own specialist subjects, there are also papers on a wide range of subjects in numerical analysis.