What is the subject "Numerical Methods" for?

Question

Habr

I am a 2nd year student. For the whole 5 months we were taught different methods (Newton's methods, Runge Kutta, etc.). When I asked the teacher "where you can use this knowledge," she didn't say anything, she only said that with the help of them (methods) one can only solve equations.
And now I ask the habrausers: WHAT DOES THE SUBJECT "Numerical Methods" NEED FOR?

Answer 1

Let me try to give a few examples that immediately come to mind. Almost any modeling of physical processes ends with numerical methods. For example, the modeling of vortex flows in an architect or the modeling of water in modern cartoons. Also in several machine vision algorithms known to me.
In my opinion - it was one of the most important subjects in my university :)

Answer 2

I think it’s useful when you have some kind of discrete signal and you need to process it mathematically one way or another (I don’t know how to put it right)
so one day I came for an interview and there was such a task
, imagine that we have a certain device with an accelerometer-gyroscopes and our task is to somehow approximately calculate the change in its coordinates in space.
I don't know the correct answer, I'm not sure if it exists, but I thought this: we have discrete gyroscope / accelerometer data, with some time step, if so, then we can integrate numerically to get the coordinate equation. or one can construct a polynomial of some degree and integrate analytically. This is where numerical methods come into play.
when I studied at the university, I also didn’t always understand how to use it all. and therefore often handed over and forgot. and did not fully understand the essence of many things, since he did not see either the physical meaning or the scope. if I went to university now, I would take such subjects much more seriously.

Answer 3

At least it is worth studying it in order to understand that sometimes an approximate solution is also possible
- iterative processes, where the final result depends on the previous ones, such as dynamic programming
dichotomy - gives the initial concept of binary search
, you can draw many parallels with very useful things :)

Answer 4

without you, I would be secondary to this subject !!!

"Thank you very much for your answers!!!" Now I will be much more serious about this subject !!!!!