A first course in numerical methods / Uri M. Ascher, Chen Greif.

Format:

Book

Author/Creator:

Ascher, U. M. (Uri M.), 1946-

Contributor:

Greif, Chen, 1965-

Society for Industrial and Applied Mathematics.

Series:

Computational science and engineering series.

Computational science and engineering series

Language:

English

Subjects (All):

Numerical calculations--Data processing.

Numerical calculations.

Numerical analysis.

Algorithms.

Physical Description:

1 online resource (xxii, 552 p. : |b ill. (some col.)).

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2011.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

This book is designed for students and researchers who seek practical knowledge of modern techniques in scientific computing. Avoiding encyclopedic and heavily theoretical exposition, the book provides an in-depth treatment of fundamental issues and methods, the reasons behind the success and failure of numerical software, and fresh and easy-to-follow approaches and techniques. The authors focus on current methods, issues, and software while providing a comprehensive theoretical foundation, enabling those who need to apply the techniques to successfully design solutions to nonstandard problems. The book also illustrates algorithms using the programming environment of MATLAB®, with the expectation that the reader will gradually become proficient in it while learning the material covered in the book. A variety of exercises are provided within each chapter along with review questions aimed at self-testing. The book takes an algorithmic approach, focusing on techniques that have a high level of applicability to engineering, computer science, and industrial mathematics.

Contents:

List of figures

List of tables

Preface

Chapter 1. Numerical algorithms

Chapter 2. Roundoff errors

Chapter 3. Nonlinear equations in one variable

Chapter 4. Linear algebra background

Chapter 5. Linear systems: direct methods

Chapter 6. Linear least squares problems

Chapter 7. Linear systems: iterative methods

Chapter 8. Eigenvalues and singular values

Chapter 9. Nonlinear systems and optimization

Chapter 10. Polynomial interpolation

Chapter 11. Piecewise polynomial interpolation

Chapter 12. Best approximation

Chapter 13. Fourier Transform

Chapter 14. Numerical differentiation

Chapter 15. Numerical integration

Chapter 16. Differential equations

Bibliography

Index.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

Title from title screen, viewed 05/31/2011.

ISBN:

1-68015-785-X

0-89871-998-4

OCLC:

875013514

Publisher Number:

CS07 SIAM