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International Journal of Computer Mathematics Volume 92, 2015 - Issue 9: New Computational and Statistical models in Science and Economics
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SECTION B

Method of calculating the collision integral and solution of the Boltzmann kinetic equation for simple gases, gas mixtures and gases with rotational degrees of freedom

Yu.A. AnikinMoscow Institute of Physics and Technology, Dolgoprudny, Russia;National Research Centre ‘Kurchatov Institute’, Moscow, Russia
,
O.I. DoduladMoscow Institute of Physics and Technology, Dolgoprudny, Russia;National Research Centre ‘Kurchatov Institute’, Moscow, RussiaCorrespondence[email protected]
,
Yu.Yu. KlossMoscow Institute of Physics and Technology, Dolgoprudny, Russia;National Research Centre ‘Kurchatov Institute’, Moscow, Russia
&
F.G. TcheremissineMoscow Institute of Physics and Technology, Dolgoprudny, Russia;Dorodnicyn Computing Centre of RAS, Moscow, Russia
Pages 1775-1789 | Received 16 Aug 2013, Accepted 23 Mar 2014, Published online: 28 May 2014

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L. Bayón & R. García-Rubio. (2015) New computational and statistical models in science and economics. International Journal of Computer Mathematics 92:9, pages 1729-1732.
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Articles from other publishers (7)

F. G. Tcheremissine. (2023) Accelerating the Solution of the Boltzmann Equation by Controlling Contributions to the Collision Integral. Журнал вычислительной математики и математической физики 63:12, pages 2035-2050.
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F. G. Tcheremissine. (2024) Accelerating the Solution of the Boltzmann Equation by Controlling Contributions to the Collision Integral. Computational Mathematics and Mathematical Physics 63:12, pages 2315-2329.
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Ioakeim Ampatzoglou, Joseph K. Miller & Nataša Pavlović. (2022) A Rigorous Derivation of a Boltzmann System for a Mixture of Hard-Sphere Gases. SIAM Journal on Mathematical Analysis 54:2, pages 2320-2372.
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Vasily Kosyanchuk & Artem Yakunchikov. (2021) A detailed multiscale study of rotational–translational relaxation process of diatomic molecules. Physics of Fluids 33:2.
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Movses Manvelovich Gasparyan, Aleksey Sergeevich Samonov, Tatyana Aleksandrovna Sazykina, Evgeny Leonidovich Ostapov, Aleksandr Viktorovich Sakmarov & Oleg Karipovich Shahatarov. (2019) The Solver of Boltzmann equation on unstructured spatial grids. Computer Research and Modeling 11:3, pages 427-447.
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Gerasim V. Krivovichev & Elena S. Marnopolskaya. (2017) Optimization of dispersive and dissipative characteristics of finite-difference schemes for advection equation. Optimization of dispersive and dissipative characteristics of finite-difference schemes for advection equation.
Oleg Rogozin. (2016) Numerical analysis of the nonlinear plane Couette-flow problem of a rarefied gas for hard-sphere molecules. European Journal of Mechanics - B/Fluids 60, pages 148-163.
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