Best Answer

Short answer; there isn't any.

Long/picky answer; numerical methods tend to look at, surprisingly, numerical methods on solving certain problems such as finding answers to equations (finding fixed points), calculating errors and really just doing calculations using these methods.

Numerical analysis on the other hand, does all of this but also looks deeper into why error occurs from these methods and looks into ways of adjusting these methods or developing better ones that reduce the errors given so as to obtain much more accurate approximations to the solution you are trying to find for a given problem.

Q: What is the difference between numerical analysis and numerical methods?

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Numerical Analysis - an area of mathematics that uses various numerical methods to find numerical approximations to mathematical problems, while also analysing those methods to see if there is any way to reduce the numerical error involved in using them, thus resulting in more reliable numerical methods that give more accurate approximations than previously.

Applied mathematics is a very general term and thus makes this question rather difficult to answer, as it can apply to almost anything where advanced mathematics is used in the study topic. For example: probability, statistics, financial analysis, mechanics, physics, discrete mathematics, graph theory, engineering, numerical analysis, and even cryptology, can all be described as applied mathematics.The one that has the most in common with computer science however is, to my knowledge, numerical analysis. numerical analysis looks at problems in continuous mathematics that can't be solved by conventional analytical methods, and looks at developing algorithms to then solve these problems.Computer science looks at the theory behind information and computation/programming, and applies it to every area, using programmes and software to solve all problems, instead of just the ones looked at by numerical analysis.

Numerical methods are used to find solutions to problems when purely analytical methods fail.

Finite Differential Methods (FDM) are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives.

A numerical method is the same as an algorithm, the steps required to solve a numerical problem. Algorithms became very important as computers were increasingly used to solve problems. It was no longer necessary to solve complex mathematical problems with a single closed form equation. See link on algorithm. According to Wikipedia: Numerical analysis is the study of algorithms for the problems of continuous mathematics (as distinguished from discrete mathematics). See link on numerical analysis. An expanded definition offered by K.E. Atkinson is: Numerical analysis is the area of mathematics and computer science that creates, analyzes, and implements algorithms for solving numerically the problems of continuous mathematics. Such problems originate generally from real-world applications of algebra, geometry and calculus, and they involve variables which vary continuously; these problems occur throughout the natural sciences,social sciences, engineering, medicine, and business. Numerical analysis courses typically are offered as part of Industrial engineering (Operations research), applied mathematics, computer science. Simulation, operations research and computer science are very interrelated

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Because it is STUPID

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they are both incredibly boring so no there is no difference ;)

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