Numerical Models of Cosmological Evolution of the Degenerated Fermi-system of Scalar Charged Particles [PDF]
Gravitation & Cosmology, 2014 Based on mathematical model of the statistical Fermi system with the interparticle interaction which was constructed in the previous articles, this work offers the construction and analysis of the numerical models of cosmological evolution of the single ...
Agathonov, A. A., Ignatyev, Yu. G.
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Dynamics of Cosmological Models with Nonlinear Classical Phantom Scalar Fields. I. Formulation of the Mathematical Model [PDF]
Russian Physics Journal, 2019 Mathematical models describing the cosmological evolution of classical and phantom scalar fields with self-action are formulated and analyzed. Systems of dynamical equations in the plane, describing homogeneous cosmological models, have been obtained. It is shown that depending on the parameters of the field model, it is possible to violate the singly ...
Yu. G. Ignat’ev, A. A. Arathonov
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Mathematical apparatus for determination of homogenous scalar medium thermal resistance
Vestnik MGSU, 2019 Introduction: the article suggests a method for determining a thermal resistance of small and large-sized areas (one-dimensional and multidimensional problems) of wall enclosure. The subject of the study is the thermal resistance of homogeneous scalar medium (homogeneous wall enclosure).
Tatiana Musorina +2 more
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Advances in mathematical analysis for solving inhomogeneous scalar differential equation
AIMS Mathematics<p>This paper considered a functional model which splits to two types of equations, mainly, advance equation and delay equation. The advance equation was solved using an analytical approach. Different types of solutions were obtained for the advance equation under specific conditions of the model's parameters.
A. B. Albidah +3 more
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Hybrid optimization technique for matrix chain multiplication using Strassen’s algorithm [version 2; peer review: 3 approved, 1 approved with reservations] [PDF]
F1000ResearchBackground Matrix Chain Multiplication (MCM) is a fundamental problem in computational mathematics and computer science, often encountered in scientific computing, graphics, and machine learning.
Srinivasarao Thota +2 more
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Mathematical model of unsaturated and supersaturated moist air flow based on two passive scalar transport equations [PDF]
AIP Conference Proceedings, 2016 The article deals with the development of two passive scalars based moist air flow model. The proposed model allows solving two-phase flow, where condensation or evaporation of water droplets occurs. The model is developed to by applicable in the limit of very low Mach number flow.
Tomáš Hyhlík
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Intuitive Mathematical Economics Series. Linear Structures I. Linear Manifolds, Vector Spaces and Scalar Products [PDF]
SSRN Electronic Journal, 2019 Linear algebra is undoubtedly one of the most powerful structures of pure and applied mathematics. It combines extreme generality with deeply held spatial intuitions. In economics and data science, one would dare to say, lies at the basis of most of the other mathematical techniques used.
Sergio Pernice
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Thermodynamics of charged three-dimensional scalar-tensor black holes: the problem of mathematical inconsistency and its solution [PDF]
The European Physical Journal CAbstractBy applying conformal transformations on the action of scalar–tensor-Euler–Heisenberg theory, we obtain the exact black hole (BH) solutions in its conformal related, the well-known Einstein frame. Through imposing the conditions of (a) vanishing the electric potential at large distance from the source and (b) validity of the first law of BH ...
M. Dehghani
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Analysis of mathematical models of functioning scalar multiprocessor systems [PDF]
Vìsnik Nacìonalʹnogo unìversitetu "Lʹvìvsʹka polìtehnìka". Serìâ Ìnformacìjnì sistemi ta merežì, 2019 Іvan Оpirskyy +2 more
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Phase-Space Analysis of an Einstein–Gauss–Bonnet Scalar Field Cosmology [PDF]
Mathematics, 2023 We perform a detailed study of the phase-space of the field equations of an Einstein–Gauss–Bonnet scalar field cosmology for a spatially flat Friedmann–Lemaître–Robertson–Walker spacetime.
Alfredo D. Millano +2 more
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