Practical scientific computing / Ali Muhammad and Victor Zalizniak.

Format:

Book

Author/Creator:

Muhammad, Ali.

Contributor:

Zalizniak, Victor.

Series:

Woodhead Publishing in mathematics

Woodhead Publishing in mathematics Practical scientific computing

Language:

English

Subjects (All):

Computer science--Mathematics.

Computer science.

Science--Data processing.

Science.

Physical Description:

1 online resource (201 p.)

Edition:

1st edition

Place of Publication:

Cambridge, England ; Philadelphia, Pennsylvania ; New Delhi, India : Woodhead Publishing, 2011.

Language Note:

English

System Details:

text file

Summary:

Scientific computing is about developing mathematical models, numerical methods and computer implementations to study and solve real problems in science, engineering, business and even social sciences. Mathematical modelling requires deep understanding of classical numerical methods. This essential guide provides the reader with sufficient foundations in these areas to venture into more advanced texts.The first section of the book presents numEclipse, an open source tool for numerical computing based on the notion of MATLAB®. numEclipse is implemented as a plug-in for Eclipse, a leadin

Contents:

Cover; Practical scientific computing; Copyright; Table of contents; Preface; Acknowledgements; Part I; 1 Introduction; 1.1 Getting started; 1.2 Interpreter; 1.3 Program; 2 Expressions; 2.1 Matrix; 2.2 Real number; 2.3 Complex number; 2.4 Boolean; 2.5 String; 2.6 Structure; 2.7 Cell; 2.8 Range expression; 2.9 Boolean expression; 2.10 Relational expression; 2.11 Numerical expression; 3 Statements; 3.1 Assignment statement; 3.2 Loop statements; 3.3 Conditional statements; 3.4 Continue and break statements; 4 Programming; 4.1 Program; 4.2 Function; 4.3 Procedure; 4.4 Java programming

4.5 C programming5 Architecture; 5.1 Front-end; 5.2 Back-end; 5.3 User interface; 5.4 Gnuplot interface; 5.5 Execution engine; 6 Plotting; 6.1 Simple function plot (fplot); 6.2 Two-dimensional plots; 6.3 Three-dimensional plots; Part II; 7 Solving nonlinear equations; 7.1 Calculation of roots with the use of iterative functions; 7.2 Exercises; 8 Solving systems of linear equations; 8.1 Linear algebra background; 8.2 Systems of linear equations; 8.3 Types of matrices that arise from applications and analysis; 8.4 Error sources; 8.5 Condition number; 8.6 Direct methods; 8.7 Iterative methods

8.8 Exercises9 Computational eigenvalue problems; 9.1 Basic facts concerning eigenvalue problems; 9.2 Localization of eigenvalues; 9.3 Power method; 9.4 Inverse iteration; 9.5 Iteration with a shift of origin; 9.6 The qr method; 9.7 Exercises; 10 Introduction to finite difference schemes for ordinary differential equations; 10.1 Elementary example of a finite difference scheme; 10.2 Approximation and stability; 10.3 Numerical solution of initial value problems; 10.4 Numerical solution and value problems; 10.5 Error estimation and control; 10.6 Exercises; 11 Interpolation and approximation

11.1 Interpolation11.2 Approximation of functions and data representation; 11.3 Exercises; Bibliography

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on online resource; title from PDF title page (ebrary, viewed December 26, 2013).

ISBN:

9780857092267

085709226X

OCLC:

867317600