[内容简介]

Numerical Methods using MATLAB, 3e, is an extensive reference offering hundreds of useful and important numerical algorithms that can be implemented intoMATLAB 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.

Numerical Methods using MATLAB, 3e, is an extensive reference offering hundreds of useful and important numerical algorithms that can be implemented intoMATLAB, 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.

• Over 500 numerical algorithms, their fundamental principles, and applications
• Graphs are used extensively to clarify the complexity of problems
• Includes coded genetic algorithms
• Includes the Lagrange multiplier method
• User-friendly and written in a conversational style

[目录]

1. An Introduction to Matlab
2. Linear Equations and Eigensystems
3. Solution of Nonlinear 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 A - Matrix Algebra Appendix B - Error Analysis

Solutions to Selected Problems

Bibliography

Index