Please use this identifier to cite or link to this item: http://www.repositorio.ufop.br/handle/123456789/4361
Title: Implementing a computer algebra system in Haskell.
Authors: Malaquias, José Romildo
Lopes, Carlos Roberto
Keywords: Computer algebra
Mixed computation
Functional programming
Haskell
Issue Date: 2007
Citation: MALAQUIAS, J. R.; LOPES, C. R. Implementing a computer algebra system in Haskell. Applied Mathematics and Computation, v. 192, p. 120-134, 2007. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0096300307003013#>. Acesso em: 22 jan. 2015.
Abstract: There are basically two kinds of mathematical computation, numerical and symbolic. Numerical algorithms are usually implemented in strongly typed languages, and compiled with a view to efficiency. Symbolic algorithms are mostly written for interpreters in untyped languages. Therefore, symbolic mathematics is usually slow, and bug ridden. Since symbolic algorithms are usually more difficult to implement, there are also very few computer algebra systems. This paper presents a computer algebra system that is both fast, and implemented in a strongly typed language, and designed to accept compiled extensions. The authors describe a scheme to achieve these goals without creating difficulties for the end-user. The reason for creating this new computer algebra system is to make feasible mixed computation, i.e., programming software that needs both numerical computation and computer algebra. For instance, Finite Element Methods require a lot of number crunching as well as computer algebra to perform triangularization, manipulating shape functions, etc. Mixed computation requires speed and safety that interpreted computer algebra cannot provide.
URI: http://www.repositorio.ufop.br/handle/123456789/4361
ISSN: 00963003
metadata.dc.rights.license: O Periódico Applied Mathematics and Computation concede permissão para depósito do artigo no Repositório Institucional da UFOP. Número da licença: 3552530048141.
Appears in Collections:DECOM - Artigos publicados em periódicos

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