numerical analysis - meaning and definition. What is numerical analysis
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What (who) is numerical analysis - definition

STUDY OF ALGORITHMS THAT USE NUMERICAL APPROXIMATION FOR THE PROBLEMS OF MATHEMATICAL ANALYSIS
Numerical Analysis; Numerical solution; Numerical methods; Numerical approximation; Numerically; Numerical computation; Numberic; Numerical mathematics; Numerical calculus; Numeric analysis; Numerical algorithm; Numeric method; Numeral analysis; Numerical software; Numerical programming; Numerical evaluation; Numerical calculation; Numeric computation; Numerical computing; Numerical analysis software; Numerical analyst; History of numerical analysis; Numeric algorithm

numerical analysis         
¦ noun the branch of mathematics concerned with the development and use of numerical methods for solving problems.
numerically         
Numerically         
·adv In a numerical manner; in numbers; with respect to number, or sameness in number; as, a thing is numerically the same, or numerically different.

Wikipedia

Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts. Current growth in computing power has enabled the use of more complex numerical analysis, providing detailed and realistic mathematical models in science and engineering. Examples of numerical analysis include: ordinary differential equations as found in celestial mechanics (predicting the motions of planets, stars and galaxies), numerical linear algebra in data analysis, and stochastic differential equations and Markov chains for simulating living cells in medicine and biology.

Before modern computers, numerical methods often relied on hand interpolation formulas, using data from large printed tables. Since the mid 20th century, computers calculate the required functions instead, but many of the same formulas continue to be used in software algorithms.

The numerical point of view goes back to the earliest mathematical writings. A tablet from the Yale Babylonian Collection (YBC 7289), gives a sexagesimal numerical approximation of the square root of 2, the length of the diagonal in a unit square.

Numerical analysis continues this long tradition: rather than giving exact symbolic answers translated into digits and applicable only to real-world measurements, approximate solutions within specified error bounds are used.

Examples of use of numerical analysis
1. But the fossil was older by at least 30 million years than the oldest–known tyrannosaur, and that animal, reported by Xu and Norell in 2004, was smaller than Guanlong . Nevertheless, a detailed numerical analysis of the data showed with '0 percent certainty that Guanlong was a tyrannosaur.