Author's ethics
We describe the system of ethical disclaimers being introduced in the journal.
dmitry-sergeevich-kulyabov
We describe the system of ethical disclaimers being introduced in the journal.
For one-dimensional inhomogeneous (with respect to the spatial variable) linear parabolic equations, a combined approach is used, dividing the original problem into two …
Usually, when working with the eikonal equation, reference is made to its derivation in the monograph by Born and Wolf. The derivation of this equation was done rather carelessly. …
The Julia programming language is a specialized language for scientific computing. It is relatively new, so most of the libraries for it are in the active development stage. In …
При расчете оптических приборов в рамках геометризованной теории Максвелла используются широко известные формализмы общей теории относительности и дифференциальной геометрии. В …
Для описания специализированных математических структур предпочтительнее использовать более специальный формализм вместо более общего. Однако, зачастую в этом вопросе превалирует …
В физических и технических задачах достаточно распространенным в применении математическим аппаратом является тензорный формализм (и его частный случай – векторный формализм). Хотя …
For describing specialized mathematical structures, it is preferable to use a special formalism rather than a general one. However, tradition often prevails in this case. For …
Tensor formalism (and its special case—vector formalism) is a mathematical technique that is widely used in physical and engineering problems. Even though this formalism is fairy …
Calculations of optical devices in the geometrized Maxwell’s theory use well-known formalisms of general theory of relativity and differential geometry. In particular, for such …
The spectral collocation method for solving two-point boundary value problems for second order differential equations is implemented, based on representing the solution as an …
This article discusses a universal way to create animation using Asymptote the language for vector graphics. The Asymptote language itself has a built-in library for creating …
Hyperbolic complex numbers are used in the description of hyperbolic spaces. One of the well-known examples of such spaces is the Minkowski space, which plays a leading role in the …
The classical pseudospectral collocation method based on the expansion of the solution in a basis of Chebyshev polynomials is considered. A new approach to constructing systems of …
Геометрическая алгебра основывается на трудах Грассмана и Клиффорда. Основными изучаемыми объектами являются p-векторы (поливекторы) и мультивекторы. Поливекторы вкупе с операцией …
Geometric algebra is based on the works by Grassmann and Clifford. Its main objects of research are polyvectors (p-vectors) and multivectors. Polyvectors, together with the …
Recently, the place of the main programming language for scientific and engineering computations has been little by little taken by Julia. Some users want to work completely within …
В последнее время на место основного языка научных и инженерных расчетов выдвигается язык Julia. У ряда пользователей возникает желание работать полностью внутри “экосистемы” …
В исследовательских задачах, требующих применения численных методов решения систем обыкновенных дифференциальных уравнений, часто возникает необходимость выбора наиболее …
In research problems that involve the use of numerical methods for solving systems of ordinary differential equations (ODEs), it is often required to select the most efficient …