The Hamiltonian formalism is extremely elegant and convenient to mechanics problems. However, its application to the classical field theories is a difficult task. In fact, you can …
The paper considers the technics of construction of optical devices based on the method of geometrization of Maxwell's equations. The method is based on representation of material …
We investigate the waveguide propagation of polarized monochromatic light in a smoothly irregular transition between two regular planar dielectric waveguides. The single-mode …
In solving field problems, for example problems of electrodynamics, we commonly use the Lagrangian and Hamiltonian formalisms. Hamiltonian formalism of field theory has the …
The mathematical model of light propagation in a planar gradient optical waveguide consists of the Maxwell's equations supplemented by the matter equations and boundary conditions. …
The work describes the new regularized algorithm for computing integrals of rapidly oscillating functions allowing effectively and accurately determine the required value in the …
By the means of the method of stochastization of one-step processes we get the simplified mathematical model of the original stochastic system. We can explore these models by …
When we organize parallel computations on a cluster system, the computer system structure is not hidden from the user, and should be taken into account while writing parallel …
By the means of the method of stochastization of onestep processes we get the simplified mathematical model of the original stochastic system. We can explore these models by …
For the study and verification of our mathematical model of RED-like active traffic management module a discrete simulation model and a continuous analytical model were developed. …
The models of peer to peer protocols are presented with the help of one-step processes. On the basis of this presentation and the method of randomization of one-step processes, it …
Background Spinors are more special objects than tensor. Therefore possess more properties than the more generic objects such as tensors. Group of Lorentz two-spinors is the …
Background. Presentation of probability as an intrinsic property of the nature leads researchers to switch from deterministic to stochastic description of the phe- nomena. On the …
The problem of RED-module mathematical model results verification, based on GNS3 experimental stand, is discussed in this article. The experimental stand consists of virtual Cisco …
Julia is new high-level programming language that supports multiple programming styles and primarily focuses on scientific computing [1]. Language has been developed at the …
The experience of integration of the computing cluster into the information system of facility is described. The cluster is comprised of one control node (2×CPU Intel Xeon E5-2670, …
Usually at stochastization of mathematical models stochastic term is introduced as the external noise. This action can only characterize the environment, but not itself system …
Along with the use of geometric constructions in the physics is possible to use of arithmetic ideas (aka arithmetic physics). Extremely promising is the use of rather rational …
In the problems of transformation optics have to solve extremely complex macroscopic Maxwell equations. To simplify the calculations, instead of macroscopic Maxwell equations in …
For research in the field of transformation optics and for the calculation of optically inhomogeneous lenses the method of geometrization of the Maxwell equations seems to be …