Evolution of scientific computation and its potential impact on teaching of transmission line principles
Zvonko Fazarinc · 2002
The dynamic graphic capability of computers has been recognized as an important medium for visualization of natural science phenomena, in particular those that are modeled by partial differential equations. The performance growth of computers has had a great impact on algorithmic approaches. Numeric evaluation of closed-form solutions derived by teachers and scientists has long since given way to more creative participation of computers in research, design, and education. Computers are capable of evolving solutions from differential or rule-based models describing the phenomenon in question without the limitations of infinitesimal calculus. Non-linear partial differential equations of highest order present no challenge to numeric integration by computers, and discontinuities and boundary values are accepted in the most natural way. Yet the steadily growing performance of computers offers the opportunity for taking the next step and to use the computer in the derivation of the model itself. This can be achieved by supplying a computer with the set of first principles which govern nature. By instructing the computer about specific situations and how to apply these principles to it, one can reproduce the natural behaviour in all its detail without any biases injected into the conclusions by the researcher. An example of this approach applied to teaching the concept of transmission lines is discussed and illustrated.>