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Numerical Methods for Engineers and Scientists Using MATLAB®, 3rd Edition
Numerical Methods for Engineers and Scientists Using MATLAB®, 3rd EditionAuthor: Ramin Esfandiari
Table of Contents
| Chapter 1 Introduction to MATLAB ® | 10 |
| 1.1 MATLAB Built-in Functions | |
| 1.2 Vectors and Matrices | |
| 1.3 Symbolic Toolbox | |
| 1.4 Program Flow Control | |
| 1.5 Displaying Formatted Data | |
| 1.6 Plotting | |
| 1.7 User-Defined Functions and Script Files | |
| Problem Set | |
| Chapter 2 Introduction to Numerical Methods | 36 |
| 2.1 Errors and Approximations | |
| 2.2 Iterative Methods | |
| Problem Set | |
| Chapter 3 Numerical Solution of Equations of a Single Variable | 48 |
| 3.1 Bracketing Methods | |
| 3.2 Fixed-Point Method | |
| 3.3 Newton's Method (Newton-Raphson Method) | |
| 3.4 Secant Method | |
| 3.5 Finding Roots Using the MATLAB Built-in Function fzero | |
| Problem Set | |
| Chapter 4 Numerical Solution of Systems of Equations | 72 |
| 4.1 Gauss Elimination Method | |
| 4.2 LU Factorization Methods | |
| 4.3 Iterative Solution of Linear Systems | |
| 4.4 Ill-Conditioning and Error Analysis | |
| 4.5 Systems of Nonlinear Equations | |
| Problem Set | |
| Chapter 5 Curve Fitting and Interpolation | 112 |
| 5.1 Linear Regression | |
| 5.2 Linearization of Nonlinear Data | |
| 5.3 Polynomial Regression | |
| 5.4 Polynomial Interpolation | |
| 5.5 Spline Interpolation | |
| 5.6 Fourier Approximation and Interpolation | |
| Problem Set | |
| Chapter 6 Numerical Differentiation and Integration | 156 |
| 6.1 Finite-Difference Formulas for Numerical Differentiation | |
| 6.2 Numerical Integration: Newton-Cotes Formulas | |
| 6.3 Numerical Integration of Analytical Functions: Gaussian Quadrature | |
| Problem Set | |
| Chapter 7 Numerical Solution of Initial-Value Problems | 190 |
| 7.1 Euler's Method | |
| 7.2 Runge-Kutta Methods | |
| 7.3 Multistep Methods | |
| 7.4 Systems of Initial-Value Problems | |
| 7.5 MATLAB Built-in Functions for Initial-Value Problems | |
| Problem Set | |
| Chapter 8 Numerical Solution of Boundary-Value Problems | 230 |
| 8.1 Shooting Method | |
| 8.2 Finite-Difference Method | |
| 8.3 MATLAB Built-in Function bvp4c for Boundary-Value Problems | |
| Problem Set | |
| Chapter 9 Numerical Methods for the Eigenvalue Problem | 250 |
| 9.1 Power Method - Estimation of the Dominant Eigenvalue | |
| 9.2 Deflation Methods | |
| 9.3 Householder Tridiagonalization and QR Factorization Methods | |
| Problem Set | |
| Chapter 10 Numerical Solution of Partial Differential Equations | 276 |
| 10.1 Elliptic Partial Differential Equations | |
| 10.2 Parabolic Partial Differential Equations | |
| 10.3 Hyperbolic Partial Differential Equations | |
| Problem Set | |
| Appendix 1 References | 307 |
| Appendix 2 Useful Formulas | 308 |
| Index | 310 |
Communication and Feedback
Please contact the author at Ramin.Esfandiari@csulb.edu for questions and/or feedback regarding this book.