Abstract:
Aiwlib library is a library for C++11 and Python languages, which is aimed for the development of high-performance computing numerical simulation applications running under GNU/Linux OS. It also provides means for batch calculations, search through results using multiparametric filters and visualization of results. In the last ten years, the library has been successfully used to create high-end software and carry out calculations in various fields.
In this paper we show in detail the application of aiwlib in the study of stochastic resonance in a system with nonlinear Brownian motion. For the numerical solution of the Fokker–Planck equation, the stochastic analog method is used. This paper describes the creation of the code, the launch of calculations and the analysis of the results.
Citation:
A. V. Ivanov, “Using the library aiwlib on the example of numerical modeling of stochastic resonance”, Keldysh Institute preprints, 2018, 089, 30 pp.
\Bibitem{Iva18}
\by A.~V.~Ivanov
\paper Using the library aiwlib on the example of numerical modeling of stochastic resonance
\jour Keldysh Institute preprints
\yr 2018
\papernumber 089
\totalpages 30
\mathnet{http://mi.mathnet.ru/ipmp2449}
\crossref{https://doi.org/10.20948/prepr-2018-89}
\elib{https://elibrary.ru/item.asp?id=34923947}
Linking options:
https://www.mathnet.ru/eng/ipmp2449
https://www.mathnet.ru/eng/ipmp/y2018/p89
This publication is cited in the following 13 articles:
A. V. Ivanov, “Kompensatsiya shuma chislennoi skhemy pri bolshikh vremennykh shagakh za schet temperaturnykh fluktuatsii v atomisticheskoi modeli magnetika”, Preprinty IPM im. M. V. Keldysha, 2024, 074, 12 pp.
A. V. Ivanov, “Raschet entropii klassicheskogo ferromagnetika Geizenberga na osnove approksimatsii dvukhchastichnykh funktsii raspredeleniya”, Preprinty IPM im. M. V. Keldysha, 2024, 081, 23 pp.
A. V. Lukyanov, A. V. Ivanov, “Modeling of ferroelectrics based on the Fokker-Planck equation and construction of a closed system of moment equations”, Keldysh Institute preprints, 2023, 22–12
Anton Ivanov, Elizaveta Zipunova, Sergey Khilkov, Communications in Computer and Information Science, 1510, Supercomputing, 2021, 29
V. E. Borisov, E. V. Zipunova, A. V. Ivanov, B. V. Kritskii, E. B. Savenkov, “Programmnyi kompleks HFrac3D++ dlya resheniya zadach geomekhaniki s uchetom krupnomasshtabnykh flyuidonapolnennykh treschin”, Preprinty IPM im. M. V. Keldysha, 2020, 046, 20 pp.
A. V. Ivanov, “Raschet statisticheskoi summy i approksimatsiya mnogochastichnykh funktsii raspredeleniya dlya magnetikov v modeli Geizenberga”, Preprinty IPM im. M. V. Keldysha, 2019, 104, 12 pp.
A. V. Ivanov, “Uchet korrelyatsii mezhdu blizhaishimi sosedyami pri mikromagnitnom modelirovanii”, Preprinty IPM im. M. V. Keldysha, 2019, 118, 30 pp.
A. V. Ivanov, “Approximation of the coefficients of the Landau–Lifshitz–Bloch equation in micromagnetic modeling”, Keldysh Institute preprints, 2019, 105–16
Anton Valerievich Ivanov, “Approximation of the coefficients of the Landau–Lifshitz–Bloch equation in micromagnetic modeling”, KIAM Prepr., 2019, no. 105-e, 1
E. V. Zipunova, A. V. Ivanov, “K voprosu o raschete polya demagnetizatsii bystrym multipolnym metodom”, Preprinty IPM im. M. V. Keldysha, 2018, 140, 19 pp.
A. V. Ivanov, “Using the library aiwlib on the example of numerical modeling of stochastic resonance”, Keldysh Institute preprints, 2018, 89–30
B. A. Korneev, V. D. Levchenko, “Simulating three-dimensional unsteady viscous compressible flow on GPU using the DiamondTorre algorithm”, Keldysh Institute preprints, 2018, 105–17
A. V. Ivanov, E. V. Zipunova, A. A. Knizhnik, A. F. Popkov, “The anisotropy model on a compensated interface of cubic ferromagnet-antiferromagnet with structure Cu3Au (L12)”, Keldysh Institute preprints, 2018, 63–31
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