Download PDF APPLIED NUMERICAL METHODS USING MATLAB by Won Young Yang

Sinopsis

MATLAB is a high-level software package with many built-in functions that make the learning of numerical methods much easier and more interesting. In this section we will introduce some basic operations that will enable you to learn the software and build your own programs for problem solving. In the workstation environment, you type “matlab” to start the program, while in the PC environment, you simply double-click the MATLAB icon.
 

Once you start the MATLAB program, a Command window will open with the MATLAB prompt >>. On the command line, you can type MATLAB commands, functions together with their input/output arguments, and the names of script files containing a block of statements to be executed at a time or functions defined by users. The MATLAB program files must have the extension name ***.m to be executed in the MATLAB environment. If you want to create a new M-file or edit an existing file, you click File/New/M-file or File/Open in the top left corner of the main menu, find/select/load the file by double-clicking it, and then begin editing it in the Editor window. If the path of the file you want to run is not listed in the MATLAB search path, the file name will not be recognized by MATLAB. In such cases, you need to add the path to the MATLAB-path list by clicking the menu ‘File/Set Path’ in the Command window, clicking the ‘Add Folder’ button, browsing/clicking the folder name, and finally clicking the SAVE button and the Close button. The lookfor command is available to help you find the MATLAB commands/functions which are related with a job you want to be done. The help command helps you know the usage of a particular command/function.

Content

1. MATLAB Usage and Computational Errors
2. System of Linear Equations
3. Interpolation and Curve Fitting
4. Nonlinear Equations
5. Numerical Differentiation/Integration
6. Ordinary Differential Equations
7. Optimization
8. Matrices and Eigenvalues
9. Partial Differential Equations
10. Mean Value Theorem
11. Matrix Operations/Properties
12. Differentiation with Respect to a Vector
13. Laplace Transform
14. Fourier Transform
15. Useful Formulas
16. Symbolic Computation
17. Sparse Matrices

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