Thursday, June 20, 2019

Numerical analysis

What is numerical analysis?
Numerical analysis is solving the mathematical problems (engineering and physical applications) by using numerical methods, i.e., the Algorithms that are used to obtain the numerical solutions.

Why do we need numerical analysis?
In engineering and physical applications, there are a lot of problems which are difficult or impossible to solve algebraically using elementary calculus. They need systemic methods, i.e., numerical methods, for solving them numerically on computers or calculators. Typical numerical methods are iterative in nature and, for a well-chosen problem and a good starting value, will frequently converge to a desired value.
Think about solving such below problem by using your calculus?



Floating-point forms of Numbers
In decimal notation, every real number can be presented by a finite or an infinite sequence  of decimal digits. Most computers have two ways of representing numbers, called fixed point and floating point.


(under constructed)


Ref.:
1. How to Post Math Equations in Blogger Using Latex