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.
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.
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.
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.
This article considers the problem of 3D visualization of two examples of top movement along a smooth surface. The authors analyze the cases where analytical solutions are possible. Graphical illustrations to these solutions are provided.
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.
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.
This article considers the effect of the order of B-splines on the appearance of surface and smoothness degree. The surfaces based on B-splines of 2 x 2, 3 x 3, and 5 x 5 orders are presented.