Applied Numerical Methods with MATLAB for Engineers and Scientists

by Chapra, Steven

• ISBN13: 9780073397962
• ISBN10: 0073397962
• Edition: 4th
• Format: Hardcover w/ Access Code
• Copyright: 2017-02-06
• Publisher: McGraw Hill

Table of Contents

Part One - Modeling, Computers, and Error Analysis

1) Mathematical Modeling, Numerical Methods, and Problem Solving

2) MATLAB Fundamentals

3) Programming with MATLAB

4) Roundoff and Truncation Errors

Part Two - Roots and Optimization

5) Roots: Bracketing Methods

6) Roots: Open Methods

7) Optimization

Part Three - Linear Systems

8) Linear Algebraic Equations and Matrices

9) Gauss Elimination

10) LU Factorization

11) Matrix Inverse and Condition

12) Iterative Methods

13) Eigenvalues

Part Four - Curve Fitting

14) Linear Regression

15) General Linear Least-Squares and Nonlinear Regression

16) Fourier Analysis

17) Polynomial Interpolation

18) Splines and Piecewise Interpolation

Part Five - Integration and Differentiation

19) Numerical Integration Formulas

20) Numerical Integration of Functions

21) Numerical Differentiation

Part Six - Ordinary Differential Equations

22) Initial-Value Problems

23) Adaptive Methods and Stiff Systems

24) Boundary-Value Problems

Appendix A - MATLAB Built-In Functions

Appendix B - MATLAB M-File Functions

Index