Real Life Applications of Numerical Analysis

Numerical Analysis is a technique of mathematical analysis that uses numerical approximation in particular to obtain accurate results for some of the problems that are hard to resolve otherwise. You must have had Numerical Analysis Questions and Answers in your graduate years. It is a part of engineering, architecture and scientific studies that involve applied mathematics. Streams like differentiation and integration, differential equations, and linear programming are also included in numerical analysis methods. 

We will talk about some major applications of Numerical Analysis in daily-day life that are both intriguing and easy to understand. Trying to figure out these applications will give you a sound understanding of the concept in general. 

1. Making Weather Predictions

Advanced computer simulations have made it possible to make weather predictions by computing numerical data from weather forecasting equipment such as weather satellites. This is done by making a mathematical model of a particular location and using computer based Numerical Analysis to obtain precise numerical values that are used for determining weather changes.

2. Car Safety Enhancement

Car manufacturers also use Numerical Analysis to make numerical models of car crash safety simulations. These models serve as the platform to unravel optimal results that signify various aspects of a car crash test. These are then fed to an advanced computer to gain insights into improving car safety. Mostly, these are partial differential equations. 

3. Machine Learning 

Just like other domains, Machine Learning tends to use Numerical Analysis Questions and Answers for optimization of numerical functions that it is presented with. A few examples of the same are Newton’s Method and Nestorov Method. Machine learning needs numerical analysis for problems that don’t have an analytically optimize-able solution. Artificial Intelligence is yet another field where machine learning is applied by the use of Numerical Analysis in stochastic environments.   

4. Spacecraft Dynamics

Space travel also uses numerical methods to make approximations on the spacecraft trajectories. Space has no gravity in it and therefore the dynamics of motion operate very differently than on Earth. Numerical Analysis comes handy in making these estimations with the help of linear as well as non-linear equations that are computed by onboard computers. Solving simple differential equations is the key in this application of Numerical Analysis. 

5. Price Estimation by Airline Companies 

It might not seem obvious but Airline companies also use Numerical Methods to optimize their ticket prices, keep a check on their fuel needs, payroll and many other activities. Sophisticated Numerical Analysis technologies have made it possible to generate accurate approximations of quantities that can’t be computed otherwise. A field of study stemming from this application; operations research also deals in finding optimised results for some daily day issues. This is done making intelligent algorithms that work on Numerical Analysis Questions and Answers to solve problems.