Laurene V. Fausett, University of South Carolina, Aiken

Published February, 1999 by Prentice Hall Engineering/Science/Mathematics

Copyright 1999, 596 pp.
Cloth
ISBN 0-13-319849-9
$80.00

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    Numerical Methods

Uses introductory problems from particular applications that are easy to understand and show the reader that there is a need for a particular mathematical technique. Numerical techniques are explained from basics with an emphasis on why they work.

Discusses the contexts and reasons for selection of each problem and solution method. Worked-out examples are very realistic and not contrived.

1. Foundations.
2. Solving Equations of One Variable.
3. Solving Systems of Linear Equations: Direct Methods.
4. Solving Systems of Linear Equations: Iterative Methods.
5. Nonlinear Functions of Several Variables.
6. LU Factorization.
7. Eigenvalues, Eigenvectors, and QR Factorization.
8. Interpolation.
9. Function Approximation.
10. Fourier Methods.
11. Numerical Differentiation and Integration.
12. Ordinary Differential Equations: Initial-Value Problems.
13. Systems of Ordinary Differential Equations.
14. Ordinary Differential Equations: Boundary Value Problems.
15. Partial Differential Equations.
Bibliography.
Answers to Selected Exercises.
Subject Index.
Author Index.