Dmitry S. Kulyabov
Dmitry S. Kulyabov
Home
Posts
Projects
Publications
Courses
Contact
Light
Dark
Automatic
English
English
Русский
Article
New Features in the Second Version of the Cadabra Computer Algebra System
In certain scientific domains, there is a need for tensor operations. To facilitate tensor computations, computer algebra systems are …
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korol'kova
,
Leonid Antonovich Sevast'yanov
PDF
Cite
DOI
Implementing a Method for Stochastization of One-Step Processes in a Computer Algebra System
When modeling such phenomena as population dynamics, controllable flows, etc., a problem arises of adapting the existing models to a …
Migran Nelsonovich Gevorkyan
,
Anastasiya Vyacheslavovna Demidova
,
Tatyana Refatovna Velieva
,
Anna Vladislavovna Korol'kova
,
Dmitry Sergeevich Kulyabov
,
Leonid Antonovich Sevast'yanov
PDF
Cite
DOI
Regularized Computation of Oscillatory Integrals with Stationary Points
Ability to calculate integrals of rapidly oscillating functions is crucial for solving many problems in optics, electrodynamics, …
Konstantin Petrovich Lovetskiy
,
Leonid Antonovich Sevastianov
,
Dmitry Sergeevich Kulyabov
,
Nikolai E. Nikolaev
PDF
Cite
DOI
Simple Model of Nonlinear Spin Waves in Graphene Structures
A series of theoretical and experimental works is known which investigated the magnetic properties of graphene structures. This is due, …
Dmitry Sergeevich Kulyabov
,
Konstantin Petrovich Lovetskiy
,
Le Anh Nhat
PDF
Cite
DOI
Two Formalisms of Stochastization of One-Step Models
To construct realistic mathematical models from the first principles, the authors suggest using the stochastization method. In a number …
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korolkova
,
Leonid Antonovich Sevastianov
PDF
Cite
DOI
Application of Functional Integrals to Stochastic Equations
Representing a probability density function (PDF) and other quantities describing a solution of stochastic differential equations by a …
Edik Artashevich Ayrjan
,
A. D. Egorov
,
Dmitry Sergeevich Kulyabov
,
V. B. Malyutin
,
Leonid Antonovich Sevastyanov
PDF
Cite
DOI
Guided Modes of a Planar Gradient Waveguide
The mathematical model of light propagation in a planar gradient optical waveguide consists of the Maxwell’s equations …
Migran Nelsonovich Gevorkyan
,
Dmitry Sergeevich Kulyabov
,
Konstantin Petrovich Lovetskiy
,
Nikolai E. Nikolaev
,
Anton Leonidovich Sevastianov
,
Leonid Antonovich Sevastianov
PDF
Cite
Using two Types of Computer Algebra Systems to Solve Maxwell Optics Problems
To synthesize Maxwell optics systems, the mathematical apparatus of tensor and vector analysis is generally employed. This mathematical …
Dmitry Sergeevich Kulyabov
PDF
Cite
DOI
Cite
×