ABSTRACT
Applied problems involve more applied engineering and scientific applications which require numerical solutions.
Many of the problems can be solved by hand calculation. A large number of the problems require a lot of computational effort. Those problems should be solved by writing a computer program to perform the calculations. Even in those cases, however, it is recommended that one or two passes through the algorithm be made by hand calculation to ensure that the analyst fully understands the details of the algorithm. These results also can be used to validate the computer program.
