Question

What is the major role of numerical method?

Answer 1

Be clear in what you are questioning and answering

Answer 2

Numerical analysis is a broad field, and so it is hard to give a concise answer to this question. Here is my attempt to do so:There are really two sides to numerical analysis. One side deals with drawing conclusions from numerical data, the other side deals with understanding how errors in your numerical data can impact those conclusions.Back when people did work by hand, numerical analysis didn’t really exist as it does today. People worked with small amounts of data. That means simple but inefficient solution methods often sufficed, and any numerical errors in a calculation could be intuitively analyzed because you can see them happen every step of the way, through by-hand arithmetic. Note that numerical analysis *did* exist and *was* important, I am only pointing out here how its role is different than today, leading to the main point:Today scientists,engineers, and even programmers must work with massive numerical problems. Computers have helped with this by providing raw compute horsepower, but still the problems are so big that old-and-simple methods of the past will not work in a timely manner. Furthermore with the computer performing so many numerical operations it becomes challenging to figure out how errors in your input will affect the output answer. Numerical analysis today exists to solve those problems so that if you ever use a piece of computer code which gives the right answer every single time on a large numerical problem without taking days, you can thank the nearest numerical analyst.