In recent years, with the introduction of new media products, there has been a shift in the use of programming languages from FORTRAN or C to MATLAB for implementing numerical methods. This book makes use of the powerful MATLAB software to avoid complex derivations, and to teach the fundamental concepts using the software to solve practical problems. Over the years, many textbooks have been written on the subject of numerical methods. Based on their course experience, the authors use a more practical approach and link every method to real engineering and/or science problems. The main benefit is that engineers don't have to know the mathematical theory in order to apply the numerical methods for solving their real-life problems.An Instructor's Manual presenting detailed solutions to all the problems in the book is available online.
Author(s): Won Y. Yang, Wenwu Cao, Tae-Sang Chung, John Morris
Edition: 1
Publisher: Wiley-Interscience
Year: 2005
Language: English
Pages: 528
Cover Page......Page 1
Title Page......Page 2
Copyright 2005 by John Wiley & Sons, Inc.......Page 3
1 MATLAB Usage and Computational Errors......Page 5
3 Interpolation and Curve Fitting......Page 6
5 Numerical Differentiation/Integration......Page 7
9 Partial Differential Equations......Page 8
Preface......Page 10
1 MATLAB Usage and Computational Errors......Page 12
2 System of Linear Equations......Page 81
3 Interpolation and Curve Fitting......Page 126
4 Nonlinear Equations......Page 187
6 Ordinary Differential Equations......Page 270
7 Optimization......Page 327
8 Matrices and Eigenvalues......Page 377
9 Partial Differential Equations......Page 406
Appendix A. Mean Value Theorem......Page 466
Appendix B. Matrix Operations/Properties......Page 468
Appendix C. Differentiation with Respect to a Vector......Page 476
Appendix D. Laplace Transform......Page 478
Appendix E. Fourier Transform......Page 480
Appendix F. Useful Formulas......Page 482
Appendix G. Symbolic Computation......Page 485
Appendix H. Sparse Matrices......Page 493
Appendix I. MATLAB......Page 495
References......Page 500
Subject Index......Page 502
Index for MATLAB Routines......Page 506
Index for Tables......Page 512
