Numerical Method:
Layered model:
| Natural language | (description in words - ambiguous, the most general) |
| Mathematical abstraction | (equations, strict conditions, unambiguous, less general) |
| Numerical Method | (solve equations numerically, works in certain
cases, numerical stability, suitable for parallel implementation?) No Free Lunch theorem www.no-free-lunch.org |
| Numerical Algorithm | (Implementation, modular design, pseudo-code/flow chart) |
| Program | (programming language, implementation, compilation, debugging, platforms, documentation, stability and security concerns) |
| Solutions | (test, nontrivial examples, run time) |
| Presentation |
(output data representation, snapshots, packaging, advertising, website) |
Natural language: Precisely calculate π.
Mathematical abstraction:
Numerical Method:
Find the root 
of the function:
Possible Numerical Methods:
a. Interval splitting
b. Fixed-point method
