Monday, June 05, 2006

About Numerical Recipes for Solving Engineering Problems using MATLAB

Contents
1. An Introduction to MATLAB
2. Linear Equations and Eigenvalues
3. Roots of Algebraic Equations
4. Differentiation and Integration
5. Differential Equations
6. Boundary Value Problems
7. Fitting Functions to Data
8. Optimization Methods

It covers following topics:
- An introduction to useful commands of MATLAB
- System of equations, linear and nonlinear, and application of SVD
- Eigenvalues and eigenvectors
- Differentiation and integration, proper and improper integrals
- IVP, System of ODE
- BVP, shooting methods for ODE and FDM for PDE
- Fitting functions to data, esp. nonlinear fitting
- Optimization, esp. GA

BVP: Boundary Value Problems
FDM: Finite Differences Methods
GA: Genetic Algorithm(s)
IVP: Initial Value Problems
ODE: Ordinary Differential Equation(s)
PDE: Partial Differential Equation(s)
SVD: Singular Value Decomposition

The book is full of engineering problems, esp. mechanical, which are solved using coding in MATLAB.
The MATLAB codes are available free of charge; you can download from this weblog.
If there is a smooth and tidy way ahead, passing from the old rocky roads is not recommended. (Weierstrass)