WHAT IS A MATHEMATICAL MODEL?
It is a formulation that expresses a physical phenomena or system in mathematical
WHICH ARE THE CHARACTERISTICS OF A MATHEMATICAL MODEL?
« Describes a natural process in mathematical terms.
« Simplify the reality. (Ignores negligible elements)
WHAT IS A NUMERICAL METHOD?
“techniques by which mathematical problems are formulated so that they can be solved with arithmetic operations.” Chapra
HOW CAN WE APPROACH AN ANSWER?
Analytical method:
« Exact
« Not for all kind of problems (It works for simple geometry, low dimensionality and linear models)
Graphical method
« Unprecise (specially without computer)
Numerical method
Source:
ResponderEliminar"Numerical Methods for Engineering" Steven C. Chapra