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Matematicheskoe modelirovanie, 2015, Volume 27, Number 3, Pages 109–120 (Mi mm3585)  

This article is cited in 17 scientific papers (total in 17 papers)

Operator library for solving multidimensional mathematical physics problems on CUDA

M. M. Krasnov

Keldysh Institute of Applied Mathematics of RAS, Moscow
References:
Abstract: This paper describes a library of operators to work with grid functions, aimed to simplify the calculations on three-dimensional index grids. The library is designed so that the details of its implementation are hidden from the user, allowing effective implementation on machines with different architectures (parallel, hybrid, etc.). The library creation raises several goals: the approximation of the appearance of the program to the theoretical formulas, the relative ease of use, including the work on the graphics card with CUDA architecture, computational efficiency.
Keywords: grid functions, grid operators, grid evaluators, heterogeneous systems, CUDA.
Received: 17.02.2014
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: M. M. Krasnov, “Operator library for solving multidimensional mathematical physics problems on CUDA”, Mat. Model., 27:3 (2015), 109–120
Citation in format AMSBIB
\Bibitem{Kra15}
\by M.~M.~Krasnov
\paper Operator library for solving multidimensional mathematical physics problems on CUDA
\jour Mat. Model.
\yr 2015
\vol 27
\issue 3
\pages 109--120
\mathnet{http://mi.mathnet.ru/mm3585}
\elib{https://elibrary.ru/item.asp?id=23421486}
Linking options:
  • https://www.mathnet.ru/eng/mm3585
  • https://www.mathnet.ru/eng/mm/v27/i3/p109
  • This publication is cited in the following 17 articles:
    1. M. M. Krasnov, O. B. Feodoritova, “Primenenie biblioteki funktsionalnogo programmirovaniya dlya rasparallelivaniya vychislenii na graficheskikh uskoritelyakh s tekhnologiei CUDA”, Preprinty IPM im. M. V. Keldysha, 2022, 051, 36 pp.  mathnet  crossref
    2. M. M. Krasnov, V. A. Balashov, E. B. Savenkov, “A grid-operator framework for efficient implementation of explicit finite difference schemes”, Math. Models Comput. Simul., 13:5 (2021), 831–843  mathnet  crossref  crossref
    3. Balashov V., “A Regularized Isothermal Phase-Field Model of Two-Phase Solid-Fluid Mixture and Its Spatial Dissipative Discretization”, Russ. J. Numer. Anal. Math. Model, 36:4 (2021), 197–217  crossref  mathscinet  isi
    4. V. A. Balashov, E. B. Savenkov, “Regulyarizovannaya model tipa fazovogo polya dlya opisaniya sistemy «zhidkost–tverdoe telo» s uchetom khimicheskikh reaktsii”, Preprinty IPM im. M. V. Keldysha, 2021, 082, 20 pp.  mathnet  crossref
    5. V. F. Tishkin, V. A. Gasilov, N. V. Zmitrenko, P. A. Kuchugov, M. E. Ladonkina, Yu. A. Poveschenko, “Modern methods of mathematical modeling of the development of hydrodynamic instabilities and turbulent mixing”, Math. Models Comput. Simul., 13:2 (2021), 311–327  mathnet  crossref  crossref
    6. M. M. Krasnov, “Functional programming library for C plus”, Program. Comput. Softw., 46:5 (2020), 330–340  crossref  isi  scopus
    7. M. M. Krasnov, “Primenenie funktsionalnogo programmirovaniya pri reshenii chislennykh zadach”, Preprinty IPM im. M. V. Keldysha, 2019, 114, 36 pp.  mathnet  crossref  elib
    8. M. M. Krasnov, M. E. Ladonkina, V. F. Tishkin, “Realizatsiya razryvnogo metoda Galërkina v programmnom komplekse DGM”, Preprinty IPM im. M. V. Keldysha, 2018, 245, 31 pp.  mathnet  crossref  elib
    9. M. M. Krasnov, P. A. Kuchugov, M. E. Ladonkina, V. F. Tishkin, “Discontinuous Galerkin method on three-dimensional tetrahedral meshes. The usage of the operator programming method”, Math. Models Comput. Simul., 9:5 (2017), 529–543  mathnet  crossref  elib
    10. A. V. Sentyabov, A. A. Gavrilov, S. A. Grizan, A. A. Dekterev, D. V. Boikov, “Effektivnost raschetov na graficheskikh protsessorakh v vychislitelnoi gidrodinamike neszhimaemoi zhidkosti”, Matem. modelirovanie, 29:3 (2017), 16–28  mathnet  elib
    11. Krasnov M.M., Kuchugov P.A., Ladonkina M.E., Lutsky A.E., Tishkin V.F., 10Th International Conference on Aerophysics and Physical Mechanics of Classical and Quantum Systems, Journal of Physics Conference Series, 815, eds. Surzhikov S., Andrienko D., Babou Y., Colonna G., Dikaljuk A., Ermakov M., Kryukov I., Teodorovich E., IOP Publishing Ltd, 2017  crossref  isi
    12. Krasnov M.M., Ladonkina M.E., “Discontinuous Galerkin Method on Three-Dimensional Tetrahedral Grids. the Use of Template Metaprogramming of the C Plus Plus Language”, Program. Comput. Softw., 43:3 (2017), 172–183  crossref  isi
    13. M. M. Krasnov, M. E. Ladonkina, V. F. Tishkin, “Razryvnyi metod Galërkina na trëkhmernykh tetraedralnykh setkakh. Ispolzovanie operatornogo metoda programmirovaniya”, Preprinty IPM im. M. V. Keldysha, 2016, 023, 27 pp.  mathnet
    14. M. M. Krasnov, M. E. Ladonkina, “Razryvnyi metod Galërkina na trëkhmernykh tetraedralnykh setkakh. Primenenie shablonnogo metaprogrammirovaniya yazyka C++”, Preprinty IPM im. M. V. Keldysha, 2016, 024, 23 pp.  mathnet
    15. M. M. Krasnov, “Optimalnyi parallelnyi algoritm obkhoda tochek giperploskosti fronta vychislenii i ego sravnenie s drugimi iteratsionnymi metodami resheniya setochnykh uravnenii”, Preprinty IPM im. M. V. Keldysha, 2015, 020, 20 pp.  mathnet
    16. V. T. Zhukov, M. M. Krasnov, N. D. Novikova, O. B. Feodoritova, “Chislennoe reshenie parabolicheskikh uravnenii na lokalno-adaptivnykh setkakh chebyshevskim metodom”, Preprinty IPM im. M. V. Keldysha, 2015, 087, 26 pp.  mathnet
    17. Krasnyuk I.B., “Surface-directed multi-dimensional wave structures in confined binary mixtures”, Int . J. Comput. Mat. Sci. Eng., 4:4 (2015), 1550023  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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