Numerical Analysis

  • Filename: numerical-analysis.
  • ISBN: 9780538735643
  • Release Date: 2011
  • Number of pages: 872
  • Author: Richard L. Burden
  • Publisher: Cengage Learning



This well-respected text gives an introduction to the modern approximation techniques and explains how, why, and when the techniques can be expected to work. The authors focus on building students' intuition to help them understand why the techniques presented work in general, and why, in some situations, they fail. With a wealth of examples and exercises, the text demonstrates the relevance of numerical analysis to a variety of disciplines and provides ample practice for students. The applications chosen demonstrate concisely how numerical methods can be, and often must be, applied in real-life situations. In this edition, the presentation has been fine-tuned to make the book even more useful to the instructor and more interesting to the reader. Overall, students gain a theoretical understanding of, and a firm basis for future study of, numerical analysis and scientific computing. A more applied text with a different menu of topics is the authors' highly regarded NUMERICAL METHODS, Third Edition.

An Introduction to Numerical Analysis

  • Filename: an-introduction-to-numerical-analysis.
  • ISBN: 0521007941
  • Release Date: 2003-08-28
  • Number of pages: 433
  • Author: Endre Süli
  • Publisher: Cambridge University Press



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

Numerical Methods

  • Filename: numerical-methods.
  • ISBN: 0486428079
  • Release Date: 2003
  • Number of pages: 573
  • Author: Germund Dahlquist
  • Publisher: Courier Corporation



Practical 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.

Numerical Analysis

  • Filename: numerical-analysis.
  • ISBN: 9780534392000
  • Release Date: 2004-12-10
  • Number of pages: 850
  • Author: Richard Burden
  • Publisher: Cengage Learning



This well-respected text gives an introduction to the modern approximation techniques and explains how, why, and when the techniques can be expected to work. The authors focus on building students' intuition to help them understand why the techniques presented work in general, and why, in some situations, they fail. With a wealth of examples and exercises, the text demonstrates the relevance of numerical analysis to a variety of disciplines and provides ample practice for students. The applications chosen demonstrate concisely how numerical methods can be, and often must be, applied in real-life situations. In this edition, the presentation has been fine-tuned to make the book even more useful to the instructor and more interesting to the reader. Overall, students gain a theoretical understanding of, and a firm basis for future study of, numerical analysis and scientific computing. A more applied text with a different menu of topics is the authors' highly regarded NUMERICAL METHODS, Third Edition. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Numerical Analysis

  • Filename: numerical-analysis.
  • ISBN: 0444506179
  • Release Date: 2001
  • Number of pages: 505
  • Author: Claude Brezinski
  • Publisher: Gulf Professional Publishing



Numerical analysis has witnessed many significant developments in the 20th century. This book brings together 16 papers dealing with historical developments, survey papers and papers on recent trends in selected areas of numerical analysis, such as: approximation and interpolation, solution of linear systems and eigenvalue problems, iterative methods, quadrature rules, solution of ordinary-, partial- and integral equations. The papers are reprinted from the 7-volume project of the Journal of Computational and Applied Mathematics on '/homepage/sac/cam/na2000/index.htmlNumerical Analysis 2000'. An introductory survey paper deals with the history of the first courses on numerical analysis in several countries and with the landmarks in the development of important algorithms and concepts in the field.

Introduction to Numerical Analysis

  • Filename: introduction-to-numerical-analysis.
  • ISBN: 038795452X
  • Release Date: 2002-08-21
  • Number of pages: 746
  • Author: Josef Stoer
  • Publisher: Springer Science & Business Media



New edition of a well-known classic in the field; Previous edition sold over 6000 copies worldwide; Fully-worked examples; Many carefully selected problems

Handbook of Numerical Analysis

  • Filename: handbook-of-numerical-analysis.
  • ISBN: 0444512470
  • Release Date: 2003
  • Number of pages: 470
  • Author: F. Cucker
  • Publisher: Gulf Professional Publishing



From geometric integration and its applications, and linear programming and condition numbers under the real number computational model, to chaos in finite difference schemes, these essays explore the foundational issues of computational mathematics.

A First Course in the Numerical Analysis of Differential Equations

  • Filename: a-first-course-in-the-numerical-analysis-of-differential-equations.
  • ISBN: 0521556554
  • Release Date: 1996-01-18
  • Number of pages: 378
  • Author: Arieh Iserles
  • Publisher: Cambridge University Press



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

Dynamical Systems and Numerical Analysis

  • Filename: dynamical-systems-and-numerical-analysis.
  • ISBN: 0521645638
  • Release Date: 1998-11-28
  • Number of pages: 685
  • Author: Andrew Stuart
  • Publisher: Cambridge University Press



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

International colloquium on numerical analysis

  • Filename: international-colloquium-on-numerical-analysis.
  • ISBN: 9067641936
  • Release Date: 1995-01-01
  • Number of pages: 229
  • Author: Drumi D. Bainov
  • Publisher: VSP



The Third International Colloquium on Numerical Analysis was organized by UNESCO and the Plovdiv Technical University, with the help of many international mathematical organizations, and was held in Plovdiv, Bulgaria, 13--17 August 1994. This proceedings volume contains selected invited talks which deal with the following topics: -- numerical methods of algebra -- analysis -- ordinary and partial differential equations

Numerical Analysis Using MATLAB and Excel

  • Filename: numerical-analysis-using-matlab-and-excel.
  • ISBN: 9781934404034
  • Release Date: 2007
  • Number of pages: 632
  • Author: Steven T. Karris
  • Publisher: Orchard Publications



This text is written primarily for students/readers who have a good background of high-school algebra, geometry, trigonometry, and the fundamentals of differential and integral calculus.

COMPUTER ORIENTED NUMERICAL METHODS

  • Filename: computer-oriented-numerical-methods.
  • ISBN: 8120307860
  • Release Date: 1993-01-01
  • Number of pages: 208
  • Author: V. RAJARAMAN
  • Publisher: PHI Learning Pvt. Ltd.



This book is a concise presentation of the basic concepts used in evolving numerical methods with special emphasis on developing computational algorithms for solving problems in algebra and calculus on a computer. It is written for undergraduate science and engineering students who have taken a first course in differential and integral calculus. The approach is to ensure conceptual understanding of the numerical methods by relying on students geometric intuition. The book provides coverage of iterative methods for solving algebraic and transcendental equations, direct and iterative methods of solving simultaneous algebraic equations, numerical methods for differen-tiation and integration, and solution of ordinary differential equations with initial conditions. The formulation of algorithms is illustrated with a number of solved examples and an algorithmic language based on English (and similar to PASCAL) is used to express the logic of the numerical procedures. This approach is thus different from that used in most books which either use a programming language like FORTRAN or use flow charts to express algorithms. The solutions to selected problems have been provided at the end of the book.

Introduction to Numerical Analysis

  • Filename: introduction-to-numerical-analysis.
  • ISBN: 9780486653631
  • Release Date: 1987
  • Number of pages: 669
  • Author: Francis Begnaud Hildebrand
  • Publisher: Courier Corporation



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.

Numerical Methods 4th

  • Filename: numerical-methods-4th.
  • ISBN: 9780495114765
  • Release Date: 2012-04-23
  • Number of pages: 608
  • Author: J. Faires
  • Publisher: Cengage Learning



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. Students 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 student 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.

An Introduction to Numerical Analysis for Electrical and Computer Engineers

  • Filename: an-introduction-to-numerical-analysis-for-electrical-and-computer-engineers.
  • ISBN: 0471650404
  • Release Date: 2004-05-13
  • Number of pages: 608
  • Author: Christopher J. Zarowski
  • Publisher: John Wiley & Sons



This book is an introduction to numerical analysis and intends to strike a balance between analytical rigor and the treatment of particular methods for engineering problems Emphasizes the earlier stages of numerical analysis for engineers with real-life problem-solving solutions applied to computing and engineering Includes MATLAB oriented examples An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.

DMCA - Contact