Numerical Methods: Using MATLAB

Numerical Methods using MATLAB, 3e, is an extensive reference offering hundreds of useful and important numerical algorithms that can be implemented into MATLAB for a graphical interpretation to help researchers analyze a particular outcome. Many worked examples are given together with exercises and solutions to illustrate how numerical methods can be used to study problems that have applications in the biosciences, chaos, optimization, engineering and science across the board.

Over 500 numerical algorithms, their fundamental principles, and applicationsGraphs are used extensively to clarify the complexity of problemsIncludes coded genetic algorithmsIncludes the Lagrange multiplier methodUser-friendly and written in a conversational style

1. An Introduction to MATLAB. 
2. Linear Equations and Eigensystems. 
3. Solution of Non-Linear Equations. 
4. Differentiation and Integration. 
5. Solution of Differential Equations. 
6. Boundary Value Problems. 
7. Fitting Functions to Data. 
8. Optimization Methods. 
9. Applications of the Symbolic Toolbox. 

Appendix 1. Matrix Algebra. 
Appendix 2. Error Analysis. 
Appendix 3. Special Maple Functions. 
Appendix 4. MATLAB Functions. 
References. 
Solutions to Problems. 
Index.