« Mathématiques computationnelles » : différence entre les versions


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== Définition ==
== Définition ==
Les mathématiques computationnelles impliquent des recherches mathématiques dans des domaines scientifiques où l'informatique joue un rôle central et essentiel, en mettant l'accent sur les algorithmes, les méthodes numériques et les calculs symboliques.


== Français ==
== Français ==
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'''computational mathematics'''
'''computational mathematics'''


Computational mathematics involves mathematical research in areas of science where computing plays a central and essential role, emphasizing algorithms, numerical methods, and symbolic computations. Computation in research is prominent.[1] Computational mathematics emerged as a distinct part of applied mathematics by the early 1950s. Currently, computational mathematics can refer to or include:


computational science, also known as scientific computation or computational engineering
solving mathematical problems by computer simulation as opposed to analytic methods of applied mathematics
numerical methods used in scientific computation, for example numerical linear algebra and numerical solution of partial differential equations stochastic methods,[2] such as Monte Carlo methods and other representations of uncertainty in scientific computation, for example stochastic finite elements the mathematics of scientific computation[3] (the theoretical side involving mathematical proofs[4]), in particular numerical analysis, the theory of numerical methods (but theory of computation and complexity of algorithms belong to theoretical computer science) symbolic computation and computer algebra systems computer-assisted research in various areas of mathematics, such as logic (automated theorem proving), discrete mathematics (search for mathematical structures such as groups), number theory (primality testing and factorization), cryptography, and computational algebraic topology


* computational linguistics, the use of mathematical and computer techniques in natural languages
==Sources==
* computational algebraic geometry
* computational group theory
* computational geometry
* computational number theory
* computational topology
* computational statistics
* algorithmic information theory
* algorithmic game theory
 
 
 
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[https://www.techopedia.com/definition/32721/computational-mathematics#:~:text=Definition%20-%20What%20does%20Computational%20Mathematics%20mean%3F%20Computational,on%20the%20application%20of%20math%20to%20computing%20technologies.  Source : techopedia ]
[https://www.techopedia.com/definition/32721/computational-mathematics#:~:text=Definition%20-%20What%20does%20Computational%20Mathematics%20mean%3F%20Computational,on%20the%20application%20of%20math%20to%20computing%20technologies.  Source : techopedia ]


[https://en.wikipedia.org/wiki/Computational_mathematics  Source : Wikipédia ]


 
[[Catégorie:GRAND LEXIQUE FRANÇAIS]]
[[Category:Vocabulary]]

Dernière version du 28 janvier 2024 à 10:53

Définition

Les mathématiques computationnelles impliquent des recherches mathématiques dans des domaines scientifiques où l'informatique joue un rôle central et essentiel, en mettant l'accent sur les algorithmes, les méthodes numériques et les calculs symboliques.

Français

mathématiques computationnelles

Anglais

computational mathematics


Sources

Source : techopedia 

Source : Wikipédia



Contributeurs: Claire Gorjux, Imane Meziani, wiki