In the study of a phenomenon it is necessary to construct a model of this phenomenon. The models differ in their expressive properties, degree of maturity, requirements. We need …
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 …
It is assumed that the introduction of stochastic in mathematical model makes it more adequate. But there is virtually no methods of coordinated (depended on structure of 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 …
This paper considers three types of tensor computations. On their basis, we attempt to formulate criteria that must be satisfied by a computer algebra system dealing with tensors. …
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 …
The article is devoted to application of tensorial formalism for derivation of different types of Maxwell's equations. The Maxwell's equations are written in the covariant …
This paper describes Lorentz two-spinors and proposes using them in calculations with Dirac four-spinors and quaternions.
In this article we present two examples solved in a new problem-oriented computer algebra system Cadabra. Solution of the same examples in widespread universal computer algebra …