Numerical analysis of eikonal equation
The Maxwell equations have a fairly simple form. However, finding solutions of Maxwell's equations is an extremely difficult task. Therefore, various simplifying approaches are …
dmitry-sergeevich-kulyabov
The Maxwell equations have a fairly simple form. However, finding solutions of Maxwell's equations is an extremely difficult task. Therefore, various simplifying approaches are …
When the Maxwell equations are geometrized, the Maxwell Lagrangian is usually reduced to the Yang-Mills Lagrangian. In this case, the effective quadratic metric, usually …
The authors for a long time have investigated the phenomenon of global synchronization. Specifically, the occur- rence of a self-oscillatory regime in a control system was …
The most common physical formalisms are the Lagrangian formalism and the Hamiltonian formalism. From the superficial point of view, they are one and the same, but rewritten in …
In this article, we compare the support for SIMD instructions for Julia and Fortran. The comparison is carried out according to the methodology described in work of T. Kalibera, R. …
This paper discusses the software tools which are used to study of social networks (graphs). The study of social graphs received a significant boost with the development of the …
The goal of this work is to simulate the Random Random Detection algorithm (RED) and Double Slope Random Early Detection (DSRED) and Gentle Random Early Detection (GRED) …
In certain scientific domains, there is a need for tensor operations. To facilitate tensor computations, computer algebra systems are employed. In our research, we have been using …
This work is devoted to some aspects of using the general renovation (the definition and brief overview are given) as the active queue management mechanism (like RED (Random Early …
In this paper we compare the performance of classical Runge–Kutta methods implemented in Fortran and Julia languages. We use the technique described in technical report by Tomas …
Self-oscillating modes in control systems of computer networks quite negatively affect the characteristics of these networks. The problem of finding the areas of self-oscillations …
Self-oscillating modes in control systems of computer networks quite negatively affect the characteristics of these networks so the investigation of parameters of self-oscillations …
In this paper we consider pseudo-random uniformly distributed number generators, such as xorshift and KISS. We also provide C++ implementation source code snippets of these …
Self-oscillation modes in control systems of data transmission networks negatively affect the characteristics of these networks. To investigate the self-oscillation mode for …
The transformation optics uses geometrized Maxwell's constitutive equations to solve the inverse problem of optics, namely to solve the problem of finding the parameters of the …
The Maxwell equations have a fairly simple form. However, finding solutions to Maxwell's equations is an extremely difficult task. Therefore, various simplifying approaches are …
In this paper we consider in detail the realization of Runge–Kutta stochastic numerical methods with weak and strong convergence for systems of stochastic differential equations in …
Nowadays the geometric approach in optics is often used to find out media parameters based on propagation paths of the rays because in this case it is a direct problem. However …
SymPy computer algebra library is used for automatic generation of ordinary and stochastic systems of differential equations from the schemes of kinetic interaction. Schemes of …