Numerical Analysis for Applied Science

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John Wiley & Sons, Sep 30, 2011 - Mathematics - 492 pages
Written for graduate students in applied mathematics, engineering and science courses, the purpose of this book is to present topics in "Numerical Analysis" and "Numerical Methods." It will combine the material of both these areas as well as special topics in modern applications. Included at the end of each chapter are a variety of theoretical and computational exercises.
 

Contents

0 Some Useful Tools
1
1 Approximation of Functions
27
2 Direct Methods for Linear Systems
109
3 Solution of Nonlinear Equations
161
4 Iterative Methods for Linear Systems
221
5 Eigenvalue Problems
283
6 Numerical Integration
313
7 Ordinary Differential Equations
349
8 Difference Methods for PDEs
395
9 Introduction to Finite Elements
447
Appendix A Divided Differences
477
Appendix B Local Minima
481
Appendix C Chebyshev Polynomials
483
Index
487
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About the author (2011)

MYRON B. ALLEN III is Professor and Head of Mathematics at the University of Wyoming. He earned his AB at Dartmouth College and an MA and PhD at Princeton University. His research publications include works in numerical analysis, scientific computation, and fluid flows in porous media. ELI L. ISAACSON is Professor Emeritus of Mathematics at the University of Wyoming. He earned his BA, MS, and PhD at the Courant Institute of New York University. His research contributions include articles in differential equations, numerical analysis, and various areas of applied mathematics.

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