Application of Monadic Calculations in Solving Numerical Problems

This paper continues our research on the application of functional programming to numerical methods. In particular, functional programming can help port programs to graphics accelerators that support CUDA. Our previous work was focused on functors (and applicative functors). The theoretical foundati...

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Veröffentlicht in:Programming and computer software Jg. 51; H. 5; S. 297 - 304
1. Verfasser: Krasnov, M. M.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Moscow Pleiades Publishing 01.10.2025
Springer Nature B.V
Schlagworte:
Artificial Intelligence
C plus plus
Composition
Computer Science
Functional programming
Numerical analysis
Numerical methods
Operating Systems
Software Engineering
Software Engineering/Programming and Operating Systems
C++
numerical methods
monads
functional programming
and CUDA
functors
ISSN:0361-7688, 1608-3261
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:This paper continues our research on the application of functional programming to numerical methods. In particular, functional programming can help port programs to graphics accelerators that support CUDA. Our previous work was focused on functors (and applicative functors). The theoretical foundation of monadic calculations was outlined, so this paper focuses on their practical application. One of the basic principles of functional programming is function composition, which allows complex functions to be built from simple ones, thus facilitating the development of complex programs. Monads allow one to construct chains of complex computations. In a sense, these chains are also compositions of functions, but at a higher, monadic level (monadic composition).
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0361-7688
1608-3261
DOI:10.1134/S0361768825700173