Author : Laurence Atkinson
Publisher : Addison Wesley Publishing Company
Page : 320 pages
File Size : 19,31 MB
Release : 1983
Category : Computers
ISBN :
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 : Brian Hilton Flowers
Publisher :
Page : 616 pages
File Size : 26,69 MB
Release : 2000
Category : Computers
ISBN : 9780198506935
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
Page : 0 pages
File Size : 15,23 MB
Release : 2011
Category : Mathematics
ISBN : 9781842656495
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 : Eugene L. Allgower
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 22,61 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3642612571
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 : DEW/JAMES
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 25,87 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 1475739400
Our intention in this book is to cover the core material in numerical analysis normally taught to students on degree courses in computer science. The main emphasis is placed on the use of analysis and programming techniques to produce well-designed, reliable mathematical software. The treatment should be of interest also to students of mathematics, science and engineering who wish to learn how to write good programs for mathematical computations. The reader is assumed to have some acquaintance with Pascal programming. Aspects of Pascal particularly relevant to numerical computation are revised and developed in the first chapter. Although Pascal has some drawbacks for serious numerical work (for example, only one precision for real numbers), the language has major compensating advantages: it is a widely used teaching language that will be familiar to many students and it encourages the writing of clear, well structured programs. By careful use of structure and documentation, we have produced codes that we believe to be readable; particular care has been taken to ensure that students should be able to understand the codes in conjunction with the descriptive material given in the book.
Author : Richard Wesley Hamming
Publisher :
Page : 444 pages
File Size : 34,82 MB
Release : 1962
Category : Electronic digital computers
ISBN :
Author : Peter Deuflhard
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 47,44 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 0387215840
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 : James F. Epperson
Publisher : John Wiley & Sons
Page : 579 pages
File Size : 49,19 MB
Release : 2013-06-06
Category : Mathematics
ISBN : 1118626230
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 : James L. Buchanan
Publisher : McGraw-Hill College
Page : 751 pages
File Size : 33,10 MB
Release : 1992
Category : Mathematics
ISBN : 9780070087170
Intended for a first course in numerical methods or numerical analysis taken by junior and senior level students, this book assumes a knowledge of calculus, linear algebra and differential equations. It covers numerical approximation/interpolation, graphics, and parallel computing. The interplay between hardware and software considerations in numerical algorithm design recurs throughout. A portion of the programs in the book are written in Turbo Pascal; the remainder are pseudocode or generalized algorithms. Programs used in the text will be available on a disk for instructors to use and copy.
Author : J. Douglas Faires
Publisher : Brooks Cole
Page : 616 pages
File Size : 30,45 MB
Release : 1998
Category : Mathematics
ISBN :
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.
