Applied Numerical Methods With Software

This text describes fundamental numerical methods which are briefly explained with examples of applications and software. Almost every numerical method explained in the book is implemented in a FORTRAN program listed in the book. When alternative methods are described in parallel, Nakamura explains relations among them and compares the pros and cons of the methods. Computer programs included in the book show how to implement the methods. The successive-over-relaxation (SOR) method and the methods for locating the optimal parameter automatically within a program of SOR are described. There are also examples of step-by-step procedures and exercises on the applications of the above methods to engineering and scientific problems.