An Introduction to Numerical Methods and Analysis

An Introduction to Numerical Methods and Analysis
Author: James F. Epperson
Publsiher: John Wiley & Sons
Total Pages: 663
Release: 2013-06-06
ISBN 10: 1118626230
ISBN 13: 9781118626238
Language: EN, FR, DE, ES & NL

An Introduction to Numerical Methods and Analysis Book Review:

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.

Numerical Analysis

Numerical Analysis
Author: Walter Gautschi
Publsiher: Springer Science & Business Media
Total Pages: 588
Release: 2011-12-07
ISBN 10: 0817682597
ISBN 13: 9780817682590
Language: EN, FR, DE, ES & NL

Numerical Analysis Book Review:

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.

Introduction to Numerical Analysis

Introduction to Numerical Analysis
Author: J. Stoer,R. Bulirsch
Publsiher: Springer Science & Business Media
Total Pages: 660
Release: 2013-03-09
ISBN 10: 1475722729
ISBN 13: 9781475722727
Language: EN, FR, DE, ES & NL

Introduction to Numerical Analysis Book Review:

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.

Numerical Analysis

Numerical Analysis
Author: Brian Sutton
Publsiher: SIAM
Total Pages: 431
Release: 2019-04-18
ISBN 10: 1611975700
ISBN 13: 9781611975703
Language: EN, FR, DE, ES & NL

Numerical Analysis Book Review:

This textbook develops the fundamental skills of numerical analysis: designing numerical methods, implementing them in computer code, and analyzing their accuracy and efficiency. A number of mathematical problems?interpolation, integration, linear systems, zero finding, and differential equations?are considered, and some of the most important methods for their solution are demonstrated and analyzed. Notable features of this book include the development of Chebyshev methods alongside more classical ones; a dual emphasis on theory and experimentation; the use of linear algebra to solve problems from analysis, which enables students to gain a greater appreciation for both subjects; and many examples and exercises. Numerical Analysis: Theory and Experiments is designed to be the primary text for a junior- or senior-level undergraduate course in numerical analysis for mathematics majors. Scientists and engineers interested in numerical methods, particularly those seeking an accessible introduction to Chebyshev methods, will also be interested in this book.

A Concise Introduction to Numerical Analysis

A Concise Introduction to Numerical Analysis
Author: A. C. Faul
Publsiher: CRC Press
Total Pages: 292
Release: 2018-10-24
ISBN 10: 1498712215
ISBN 13: 9781498712217
Language: EN, FR, DE, ES & NL

A Concise Introduction to Numerical Analysis Book Review:

This textbook provides an accessible and concise introduction to numerical analysis for upper undergraduate and beginning graduate students from various backgrounds. It was developed from the lecture notes of four successful courses on numerical analysis taught within the MPhil of Scientific Computing at the University of Cambridge. The book is easily accessible, even to those with limited knowledge of mathematics. Students will get a concise, but thorough introduction to numerical analysis. In addition the algorithmic principles are emphasized to encourage a deeper understanding of why an algorithm is suitable, and sometimes unsuitable, for a particular problem. A Concise Introduction to Numerical Analysis strikes a balance between being mathematically comprehensive, but not overwhelming with mathematical detail. In some places where further detail was felt to be out of scope of the book, the reader is referred to further reading. The book uses MATLAB® implementations to demonstrate the workings of the method and thus MATLAB's own implementations are avoided, unless they are used as building blocks of an algorithm. In some cases the listings are printed in the book, but all are available online on the book’s page at www.crcpress.com. Most implementations are in the form of functions returning the outcome of the algorithm. Also, examples for the use of the functions are given. Exercises are included in line with the text where appropriate, and each chapter ends with a selection of revision exercises. Solutions to odd-numbered exercises are also provided on the book’s page at www.crcpress.com. This textbook is also an ideal resource for graduate students coming from other subjects who will use numerical techniques extensively in their graduate studies.

Theoretical Numerical Analysis

Theoretical Numerical Analysis
Author: Burton Wendroff
Publsiher: Elsevier
Total Pages: 252
Release: 2014-05-12
ISBN 10: 1483275221
ISBN 13: 9781483275222
Language: EN, FR, DE, ES & NL

Theoretical Numerical Analysis Book Review:

Theoretical Numerical Analysis focuses on the presentation of numerical analysis as a legitimate branch of mathematics. The publication first elaborates on interpolation and quadrature and approximation. Discussions focus on the degree of approximation by polynomials, Chebyshev approximation, orthogonal polynomials and Gaussian quadrature, approximation by interpolation, nonanalytic interpolation and associated quadrature, and Hermite interpolation. The text then ponders on ordinary differential equations and solutions of equations. Topics include iterative methods for nonlinear systems, matrix eigenvalue problems, matrix inversion by triangular decomposition, homogeneous boundary value problems, and initial value problems. The publication takes a look at partial differential equations, including heat equation, stability, maximum principle, and first order systems. The manuscript is a vital source of data for mathematicians and researchers interested in theoretical numerical analysis.

Numerical Analysis

Numerical Analysis
Author: Richard L. Burden,J. Douglas Faires
Publsiher: Cengage Learning
Total Pages: 888
Release: 2010-08-09
ISBN 10: 1133169333
ISBN 13: 9781133169338
Language: EN, FR, DE, ES & NL

Numerical Analysis Book Review:

This well-respected text gives an introduction to the theory and application of modern numerical approximation techniques for students taking a one- or two-semester course in numerical analysis. With an accessible treatment that only requires a calculus prerequisite, Burden and Faires 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 built from the ground up to serve a diverse undergraduate audience, three decades later Burden and Faires 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.

Numerical Analysis

Numerical Analysis
Author: L. Ridgway Scott
Publsiher: Princeton University Press
Total Pages: 344
Release: 2011-04-18
ISBN 10: 9781400838967
ISBN 13: 1400838967
Language: EN, FR, DE, ES & NL

Numerical Analysis Book Review:

Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks. Using an inquiry-based learning approach, Numerical Analysis is written in a narrative style, provides historical background, and includes many of the proofs and technical details in exercises. Students will be able to go beyond an elementary understanding of numerical simulation and develop deep insights into the foundations of the subject. They will no longer have to accept the mathematical gaps that exist in current textbooks. For example, both necessary and sufficient conditions for convergence of basic iterative methods are covered, and proofs are given in full generality, not just based on special cases. The book is accessible to undergraduate mathematics majors as well as computational scientists wanting to learn the foundations of the subject. Presents the mathematical foundations of numerical analysis Explains the mathematical details behind simulation software Introduces many advanced concepts in modern analysis Self-contained and mathematically rigorous Contains problems and solutions in each chapter Excellent follow-up course to Principles of Mathematical Analysis by Rudin

Principles of Numerical Analysis

Principles of Numerical Analysis
Author: Alston S. Householder
Publsiher: Courier Corporation
Total Pages: 274
Release: 2006-09
ISBN 10: 048645312X
ISBN 13: 9780486453125
Language: EN, FR, DE, ES & NL

Principles of Numerical Analysis Book Review:

Computer science rests upon the building blocks of numerical analysis. This concise treatment by an expert covers the essentials of the solution of finite systems of linear and nonlinear equations as well as the approximate representation of functions. A final section provides 54 problems, subdivided according to chapter. 1953 edition.

Explorations In Numerical Analysis Python Edition

Explorations In Numerical Analysis  Python Edition
Author: James V Lambers,Amber C Sumner Mooney,Vivian Ashley Montiforte
Publsiher: World Scientific
Total Pages: 692
Release: 2021-01-14
ISBN 10: 9811227950
ISBN 13: 9789811227950
Language: EN, FR, DE, ES & NL

Explorations In Numerical Analysis Python Edition Book Review:

This textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations.Topics covered include computer arithmetic, error analysis, solution of systems of linear equations, least squares problems, eigenvalue problems, nonlinear equations, optimization, polynomial interpolation and approximation, numerical differentiation and integration, ordinary differential equations, and partial differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the Python programming language.This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra.

Guidelines for the Use of Advanced Numerical Analysis

Guidelines for the Use of Advanced Numerical Analysis
Author: David Potts,Kenet Axelsson
Publsiher: Thomas Telford
Total Pages: 177
Release: 2002
ISBN 10: 0727731254
ISBN 13: 9780727731258
Language: EN, FR, DE, ES & NL

Guidelines for the Use of Advanced Numerical Analysis Book Review:

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.

Introductory Numerical Analysis

Introductory Numerical Analysis
Author: Mircea Andrecut
Publsiher: Universal-Publishers
Total Pages: 200
Release: 2000-02
ISBN 10: 9781581127577
ISBN 13: 158112757X
Language: EN, FR, DE, ES & NL

Introductory Numerical Analysis Book Review:

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.

Classical and Modern Numerical Analysis

Classical and Modern Numerical Analysis
Author: Azmy S. Ackleh,Edward James Allen,R. Baker Kearfott,Padmanabhan Seshaiyer
Publsiher: CRC Press
Total Pages: 628
Release: 2009-07-20
ISBN 10: 1420091581
ISBN 13: 9781420091588
Language: EN, FR, DE, ES & NL

Classical and Modern Numerical Analysis Book Review:

Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis.The text covers the main areas o

Numerical Analysis

Numerical Analysis
Author: G.A. Watson
Publsiher: Springer
Total Pages: 206
Release: 2006-11-15
ISBN 10: 3540359729
ISBN 13: 9783540359722
Language: EN, FR, DE, ES & NL

Numerical Analysis Book Review:

Theoretical Numerical Analysis

Theoretical Numerical Analysis
Author: Kendall Atkinson,Weimin Han
Publsiher: Springer Science & Business Media
Total Pages: 576
Release: 2007-06-07
ISBN 10: 0387287698
ISBN 13: 9780387287690
Language: EN, FR, DE, ES & NL

Theoretical Numerical Analysis Book Review:

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). Thedevelopmentofnewcoursesisanaturalconsequenceofahighlevelof excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs.

Numerical Analysis

Numerical Analysis
Author: D.F. Griffiths
Publsiher: Springer
Total Pages: 282
Release: 2006-12-08
ISBN 10: 3540388818
ISBN 13: 9783540388814
Language: EN, FR, DE, ES & NL

Numerical Analysis Book Review:

Numerical Analysis

Numerical Analysis
Author: J.P. Hennart
Publsiher: Springer
Total Pages: 254
Release: 2006-11-14
ISBN 10: 3540389865
ISBN 13: 9783540389866
Language: EN, FR, DE, ES & NL

Numerical Analysis Book Review:

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The Birth of Numerical Analysis

The Birth of Numerical Analysis
Author: Adhemar Bultheel,Ronald Cools
Publsiher: World Scientific
Total Pages: 240
Release: 2010
ISBN 10: 9812836268
ISBN 13: 9789812836267
Language: EN, FR, DE, ES & NL

The Birth of Numerical Analysis Book Review:

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.

Numerical Analysis of Pierce type Electron Guns

Numerical Analysis of Pierce type Electron Guns
Author: Richard T. CLOSE
Publsiher: Unknown
Total Pages: 18
Release: 1966
ISBN 10: 1928374650XXX
ISBN 13: MINN:31951D037444288
Language: EN, FR, DE, ES & NL

Numerical Analysis of Pierce type Electron Guns Book Review:

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).

Numerical Analysis and Optimization

Numerical Analysis and Optimization
Author: Mehiddin Al-Baali
Publsiher: Springer Nature
Total Pages: 135
Release: 2022
ISBN 10: 3030720403
ISBN 13: 9783030720407
Language: EN, FR, DE, ES & NL

Numerical Analysis and Optimization Book Review: