IKBFU's Vestnik

2015 Issue №04

A high resolution model of the equatorial F-layer of ionosphere

Abstract

This article formulates the problem of simulating extreme processes in the Earth's low-latitude ionosphere and describes the model equation imple-mentation methods based on an electrodynamically coherent mathematical mo-del of the equatorial F-layer of the ionosphere.

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A general representation of ship containers planning and loading-unloading processes at multimodal transit terminals

Abstract

This article considers the problems of information support and automa-tion of loading and unloading processes in the sea zone of multimodal con-tainer terminals (berthage). The authors present the organization and algo-rithms of automated loading planning and complete and partial container loading and unloading at the transit terminal are presented.

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The torsion tensor of an analog of the Neifeld connection on a Grass-mannian-like manifold of centered planes

Abstract

This article considers the Grassmanian-like   manifold of cen-tered m-planes in the projective space Pn. A torsion object of the Neifeld con-nection is introduced in the fibering over the manifold  . It is shown that this object forms a tensor containing one elementary and four simple subtensors.

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Connection in a tangent bundle to the frame bundle of manifold

Abstract

This paper focuses on the tangent bundle to the linear frame bundle of a smooth manifold. Brackets of the tangent vectors of this bundle are con-structed. A coordinate representation of the non-holonomic frame vectors is produced. Horizontal and vertical curvatures, torsions, and covariant derivatives are constructed in a homogeneous connection.

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An algorithm and model of data saving for solving the problem of satellite-plasma interaction by the molecular dynamic method using the CUDA technology

Abstract

This article considers a parallel algorithm of the mathematical model of interaction between a charged small satellite and thermal space plasma. The main problem of the algorithm implementation is to maintain the total amount of current data for each calculator and to synchronize and minimize exchanges. The range of graphics accelerators chosen for calculation makes it possible to focus the maximum number of calculators on a single node. Syn-chronization problems are solved at the level of processor threads. The result-ing algorithm is difficult to implement; however, it shows the most efficient use of computing resources in solving the problem, can be easily scaled for hybrid computing, and has great potential when using the MPI + CUDA + CPU threads of a hybrid programming model.

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An analysis of the resistance of McEliece CS based on an AG-code to quantum Fourier sampling attack

Abstract

This article tests the quantum resistance of McEliece CS based on an AG-code over any elliptic curve. Using the criteria suggested by Dinh, Moore, and Russell [3], the author proves the resistance of this CS to quantum Fourier sampling attack. Thus, Shor’s algorithm cannot identify the group structure of the code and break the CS.

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