« Mathématiques computationnelles » : différence entre les versions


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== 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.


== Domaine ==
== Français ==
[[Category:Vocabulary]]
'''mathématiques computationnelles
   
   
== Définition ==
== Anglais ==
'''computational mathematics'''




== Termes privilégiés ==


==Sources==
== Anglais ==


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

Récupérée de « https://datafranca.org/wiki/index.php?title=Mathématiques_computationnelles&oldid=90102 »


Contributeurs: Claire Gorjux, Imane Meziani, wiki