Definitions for numerical analysis
nu·mer·i·cal ana·ly·sis

Princeton's WordNetRate this definition:0.0 / 0 votes

1. numerical analysisnoun

   (mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculus

WiktionaryRate this definition:0.0 / 0 votes

1. numerical analysisnoun

   The study of algorithms to solve mathematical problems concerning continuous sets of values (such as the real numbers, complex numbers or vector spaces).

WikipediaRate this definition:0.0 / 0 votes

1. 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.

WikidataRate this definition:5.0 / 1 vote

1. Numerical analysis

   Numerical analysis is the study of algorithms that use numerical approximation for the problems of mathematical analysis. One of the earliest mathematical writings is a Babylonian tablet from the Yale Babylonian Collection, which gives a sexagesimal numerical approximation of, the length of the diagonal in a unit square. Being able to compute the sides of a triangle is extremely important, for instance, in carpentry and construction. Numerical analysis continues this long tradition of practical mathematical calculations. Much like the Babylonian approximation of, modern numerical analysis does not seek exact answers, because exact answers are often impossible to obtain in practice. Instead, much of numerical analysis is concerned with obtaining approximate solutions while maintaining reasonable bounds on errors. Numerical analysis naturally finds applications in all fields of engineering and the physical sciences, but in the 21st century, the life sciences and even the arts have adopted elements of scientific computations. Ordinary differential equations appear in celestial mechanics; numerical linear algebra is important for data analysis; stochastic differential equations and Markov chains are essential in simulating living cells for medicine and biology.

Matched Categories

1. • Mathematics
   • Pure Mathematics

How to pronounce numerical analysis?

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How to say numerical analysis in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of numerical analysis in Chaldean Numerology is: 3

2. Pythagorean Numerology

   The numerical value of numerical analysis in Pythagorean Numerology is: 7

Examples of numerical analysis in a Sentence

1. Link Starbureiy:

   At one point I had a romanticized notion about mathematics; the idea of all-consuming beauty, so to speak. But outside of numerical analysis, mathematics must be practical, which is, by any rubric, only slightly different that any other reality.

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=numerical analysis
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Numerical_Analysis
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Numerical_Analysis
4. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=numerical analysis