An Introduction to Numerical Methods in C++ PDF Download

Author: Brian Hilton Flowers
Publisher:
ISBN: 9780198506935
Category : Computers
Languages : en
Pages : 616

View

Book Description
Designed for the many applied mathematicians and engineers who wish to explore computerized numerical methods, this text explores the power of C++ as a tool for work in numerical methods. This revision of the successful first edition includes for the first time information on programming in Windows-based environments. In addition it includes new topics and methods throughout the text that clarify and enhance the treatment of the subject.

Author: Pramote Dechaumphai
Publisher: Alpha Science International, Limited
ISBN: 9781842656495
Category : Mathematics
Languages : en
Pages : 0

View

Book Description
NUMERICAL METHODS IN ENGINEERING: Theories with MATLAB, Fortran, C and Pascal Programs presents a clear, easy-to-understand manner on introduction and the use of numerical methods. The book contains nine chapters with materials that are essential for studying the subject. The book starts from introducing the numerical methods and describing their importance for analyzing engineering problems. The methods for finding roots of linear and nonlinear equations are presented with examples. Some of these methods are very effective and implemented in commercial software. The methods for interpolation, extrapolation and least-squares regression are explained. Numerical integration and differentiation methods are presented to demonstrate their benefits for solving complicate functions. Several methods for analyzing both the ordinary and partial differential equations are then presented. These methods are simple and work well for problems that have regular geometry. For problems with complex geometry, the finite element method is preferred. The finite element method for analyzing one- and two- dimensional problems is explained in the last chapter. Numerous examples are illustrated to increase understanding of these methods for analyzing different types of problems. Computer programs corresponding to the computational procedures of these methods are provided. The programs are written in MATLAB, Fortran, C and Pascal, so that readers can use the preferred language for their study. These computer programs can also be modified to use in other courses and research work.

Author: Laurence Atkinson
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Computers
Languages : en
Pages : 320

View

Book Description
A summary of Pascal; Rounding errors; Non-linear algebraic equations; Linear algebraic equations; Eingenvalues and eingenvectors. Discrete function approximation; differentiation equations; Operators, reserved words and standard functions; Programs, procedures and functions.

Author: Eugene L. Allgower
Publisher: Springer Science & Business Media
ISBN: 3642612571
Category : Mathematics
Languages : en
Pages : 402

View

Book Description
Over the past fifteen years two new techniques have yielded extremely important contributions toward the numerical solution of nonlinear systems of equations. This book provides an introduction to and an up-to-date survey of numerical continuation methods (tracing of implicitly defined curves) of both predictor-corrector and piecewise-linear types. It presents and analyzes implementations aimed at applications to the computation of zero points, fixed points, nonlinear eigenvalue problems, bifurcation and turning points, and economic equilibria. Many algorithms are presented in a pseudo code format. An appendix supplies five sample FORTRAN programs with numerical examples, which readers can adapt to fit their purposes, and a description of the program package SCOUT for analyzing nonlinear problems via piecewise-linear methods. An extensive up-to-date bibliography spanning 46 pages is included. The material in this book has been presented to students of mathematics, engineering and sciences with great success, and will also serve as a valuable tool for researchers in the field.

Author: Anthony Ralston
Publisher: Courier Corporation
ISBN: 9780486414546
Category : Mathematics
Languages : en
Pages : 644

View

Book Description
Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.

Author: Peter Deuflhard
Publisher: Springer Science & Business Media
ISBN: 0387215840
Category : Mathematics
Languages : en
Pages : 350

View

Book Description
This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

Author: J. Douglas Faires
Publisher: Brooks Cole
ISBN:
Category : Mathematics
Languages : en
Pages : 616

View

Book Description
This text emphasizes the intelligent application of approximation techniques to the type of problems that commonly occur in engineering and the physical sciences. The authors provide a sophisticated introduction to various appropriate approximation techniques; they show students why the methods work, what type of errors to expect, and when an application might lead to difficulties; and they provide information about the availability of high-quality software for numerical approximation routines The techniques covered in this text are essentially the same as those covered in the Sixth Edition of these authors' top-selling Numerical Analysis text, but the emphasis is much different. In Numerical Methods, Second Edition, full mathematical justifications are provided only if they are concise and add to the understanding of 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.

Author: James F. Epperson
Publisher: John Wiley & Sons
ISBN: 1118626230
Category : Mathematics
Languages : en
Pages : 579

View

Book Description
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.

Author: Rudi Klatte
Publisher: Springer Science & Business Media
ISBN: 3642772773
Category : Computers
Languages : en
Pages : 348

View

Book Description
This manual describes a PASCAL extension for scientific computation with the short title PASCAL-XSC (PASCAL eXtension for Scientific Computation). The language is the result of a long term effort of members of the Institute for Applied Mathematics of Karlsruhe University and several associated scientists. PASCAL XSC is intended to make the computer more powerful arithmetically than usual. It makes the computer look like a vector processor to the programmer by providing the vector/matrix operations in a natural form with array data types and the usual operator symbols. Programming of algorithms is thus brought considerably closer to the usual mathematical notation. As an additional feature in PASCAL-XSC, all predefined operators for real and complex numbers and intervals, vectors, matrices, and so on, deliver an answer that differs from the exact result by at most one rounding. Numerical mathematics has devised algorithms that deliver highly accurate and automatically verified results by applying mathematical fixed point theorems. That is, these computations carry their own accuracy control. However, their imple mentation requires arithmetic and programming tools that have not been available previously. The development of PASCAL-XSC has been aimed at providing these tools within the PASCAL setting. Work on the subject began during the 1960's with the development of a general theory of computer arithmetic. At first, new algorithms for the realization of the arithmetic operations had to be developed and implemented.

Author: Abdelwahab Kharab
Publisher: CRC Press
ISBN: 1351605925
Category : Mathematics
Languages : en
Pages : 631

View

Book Description
Previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB® Approach, Fourth 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 computed results so that the main steps are easily visualized and interpreted. This edition also includes a new chapter on Dynamical Systems and Chaos. Features Covers the most common numerical methods encountered in science and engineering Illustrates the methods using MATLAB Presents numerous examples and exercises, with selected answers at the back of the book