?
Современные проблемы математического моделирования: сборник трудов XVIII Всероссийской конференции-школы молодых исследователей (пос. Абрау-Дюрсо, 16–20 сентября 2019 г.)
Ростов н/Д :
-, 2019.
Editor-in-chief: Г. В. Муратова, И. Н. Шабас
Гордин В.А., Шадрин Д. А., В кн. : Современные проблемы математического моделирования: сборник трудов XVIII Всероссийской конференции-школы молодых исследователей (пос. Абрау-Дюрсо, 16–20 сентября 2019 г.). : Ростов н/Д : Издательство ЮФУ, 2019. Гл. 10. С. 53-57.
The boundary value problem for the Poisson and Helmholtz equations with a piecewise constant coefficient with a jump on a triangle is studied numerically. At the jump of the coefficient (at the boundary of the media), the docking conditions are set. A compact difference scheme with high accuracy with a relatively small number of calculations ...
Added: December 30, 2019
Gordin V. A., В кн. : Современные проблемы математического моделирования: сборник трудов XVIII Всероссийской конференции-школы молодых исследователей (пос. Абрау-Дюрсо, 16–20 сентября 2019 г.). : Ростов н/Д : Издательство ЮФУ, 2019. Гл. 9. С. 40-52.
When solving boundary value problems of mathematical physics, compact schemes allow increasing (in comparison with classical ones) the solution accuracy order with a slight increase in the number of arithmetic operations. An indispensable condition of the algorithm is the use of the double-sweep approach. A method for calculating the coefficients of schemes is shown both ...
Added: December 30, 2019
Беззубцев А. С., Быков Ф. Л., Gordin V. A., В кн. : Современные проблемы математического моделирования: сборник трудов XVIII Всероссийской конференции-школы молодых исследователей (пос. Абрау-Дюрсо, 16–20 сентября 2019 г.). : Ростов н/Д : Издательство ЮФУ, 2019. Гл. 5. С. 25-31.
Algorithms for three-dimensional visualization of atmospheric front surfaces have been developed. Previously, the technology of visualization of intersections of atmospheric fronts with isobaric levels was implemented. These are curves that show the intensity and type of the atmospheric front in color. At this stage, it was necessary a) to find out which curves at different ...
Added: December 30, 2019
Gordin V. A., Математическое моделирование 2019 Т. 31 № 7 С. 58-74
Differential relations include, in particular, both differential operators and solvers for boundary value problems. The formulas of compact finite-difference approximations of differential relations of the first or second order $P_1[u]=P_2[f]$ are obtained. The approximation is performed on three-point stencils. To implement, as in the case of classical difference schemes, a tridiagonal matrix's inversion is required, ...
Added: December 16, 2018
Gordin V. A., В кн. : Современные проблемы математического моделирования: сборник трудов XVIII Всероссийской конференции-школы молодых исследователей (пос. Абрау-Дюрсо, 16–20 сентября 2019 г.). : Ростов н/Д : Издательство ЮФУ, 2019. Гл. 9. С. 40-52.
When solving boundary value problems of mathematical physics, compact schemes allow increasing (in comparison with classical ones) the solution accuracy order with a slight increase in the number of arithmetic operations. An indispensable condition of the algorithm is the use of the double-sweep approach. A method for calculating the coefficients of schemes is shown both ...
Added: December 30, 2019
Gordin V. A., Tsymbalov E. A., Математическое моделирование 2017 Т. 29 № 12 С. 16-28
We present compact difference approximation on equidistant grid for the Dirichlet problem for
the second order divergent type linear differential equation with piecewise-constant coefficient
and discontinuous right hand side. Our numerical experiments demonstrate essential advantage of
the scheme in comparison with the classic divergence scheme. We obtain same results for the
Sturm – Liouville problem. The Richardson extrapolation method ...
Added: December 15, 2016
Gordin V. A., Океанологические исследования 2019 Т. 47 № 1 С. 32-37
Compact difference schemes are well known and demonstrate a high order of accuracy for differential equations with constant coefficients.
Algorithms for constructing compact schemes of the 4-th order for boundary value problems with variable (smooth and with a jump) coefficient have been developed. For the diffusion equations with a smooth variable coefficient and the Levin - ...
Added: June 15, 2021
Gordin V. A., Tsymbalov E. A., Mathematical Models and Computer Simulations, 10(1), 79-88 2017 Т. 29 № 7 С. 3-14
We present compact difference scheme on three-point stencil for unknown function. The scheme approximates linear second order differential equation with variable smooth coefficient. Our numerical experiments confirmed 4-th accuracy order of solutions of the difference scheme and of eigenvalues’ approximation for the boundary problem. The difference operator is almost self-conjugate, and its spectrum is real. ...
Added: December 15, 2016
Osipov D., Паршин А. Н., Математический сборник 2020 Т. 211 № 1 С. 125-174
In this work we construct a harmonic analysis on free Abelian groups of rank 2, namely: we construct and investigate spaces of functions and distributions, Fourier transforms and actions of discrete and extended discrete Heisenberg groups. In the case of the rank-2 value group of a two-dimensional local field with finite last residue field we ...
Added: May 20, 2020
Козачок А. В., Копылов С. А., Мещеряков Р. В. et al., Компьютерная оптика 2017 Т. 41 № 5 С. 743-755
The development of an Internet of things concept has led to an essential increase in the amount of data processed via the Internet. Multimedia data constitute a significant proportion of this information. This type of data often contains user’s personal information or copyright protected data. The issue of copyright protection of digital imagery has remained ...
Added: September 5, 2019
A. E. Rassadin, Журнал Средневолжского математического общества 2023 Vol. 25 No. 1 P. 542-533
In the present paper, a nonlinear countable-dimensional system of integrodifferential equations is investigated, whose vector of unknowns is a countable set of functions of two variables. These variables are interpreted as spatial coordinate and time. The nonlinearity of this system is constructed from two simultaneous convolutions: first convolution is in the sense of functional analysis ...
Added: April 4, 2023
Danilov V., Rakhel M., Russian Journal of Mathematical Physics 2021 Vol. 28 No. 2 P. 179-187
In this paper, we show how to construct an asymptotic representation of the fundamental solution to the Cauchy problem for degenerate linear parabolic equations. ...
Added: June 6, 2021
Decrouez G. G., Hall P., Bernoulli: a journal of mathematical statistics and probability 2013 Vol. 19 No. 4 P. 1268-1293
Motivated by a problem arising when analysing data from quarantine searches, we explore properties of distributions of sums of independent means of independent lattice-valued random variables. The aim is to determine the extent to which approximations to those sums require continuity corrections. We show that, in cases where there are only two different means, the ...
Added: September 29, 2014
Akopov A. S., Beklaryan L. A., Saghatelyan A. K., Environmental Modelling and Software 2019 Vol. 116 P. 7-25
Urban greenery such as trees can effectively reduce air pollution in a natural and eco-friendly way. However, how to spatially locate and arrange greenery in an optimal way remains as a challenging task. We developed an agent-based model of air pollution dynamics to support the optimal allocation and configuration of tree clusters in a city. The Pareto ...
Added: February 24, 2019
P. : Université Paris 13 - Paris Sorbonne Cité, 2013
In this workshop we will bring together participants who have solutions for one or more of the following problems: How can mutual understanding be optimized with the help of technology in hospitals where both patients and professionals have varying language skills, cultural backgrounds and cognitive capacities? Can domain ontologies, natural language processing tools, multilingual knowledge-based ...
Added: December 18, 2014
Malyshev D., Alekseev V., Дискретный анализ и исследование операций 2008 Т. 15 № 1 С. 3-10
Доказывается полиномиальная разрешимость задачи о независимом множестве для бесконечного семейства подмножеств класса планарных графов. ...
Added: August 31, 2012
Malyshev D., Journal of Applied and Industrial Mathematics (перевод журналов "Сибирский журнал индустриальной математики" и "Дискретный анализ и исследование операций") 2020 Vol. 14 No. 4 P. 706-721
The edge coloring problem for a graph is to minimize the number of colors that are sufficient to color all edges of the graph so that all adjacent edges receive distinct colors. The computational complexity of the problem is known for all graph classes defined by forbidden subgraphs with at most 6 edges. We improve ...
Added: January 30, 2021
Lanham : University Press of America, 2012
The history of logic and analytic philosophy in Central and Eastern Europe is still known to very few people. As an exception to the rule, only two scientific schools became internationally popular: the Vienna Circle and the Lvov-Warsaw School. Nevertheless, the countries included in this region have not only joint history, but also joint cultural ...
Added: February 13, 2013
Malyshev D., Discrete Mathematics 2015 Vol. 338 No. 11 P. 1860-1865
We completely determine the complexity status of the 3-colorability problem for hereditary graph classes defined by two forbidden induced subgraphs with at most five vertices. ...
Added: April 7, 2014
Logvenkov S. A., Штейн А. А., Российский журнал биомеханики 2013 Т. 17 № 4 С. 47-57
The mathematical modelling is performed to study the effect of the permeability of the Casparian bands to water and solutes on the formation of the root pressure. It is shown that the pressure in the xylem vessels which stops the flow across a root cut (root pressure) decreases with increase in the permeability of the ...
Added: January 30, 2014
Nicol R., Chapman S., Vertes P. et al., Journal of Neurophysiology (США) 2012 Vol. 107 No. 5 P. 1421-1430
How do human brain networks react to dynamic changes in the sensory environment? We measured rapid changes in brain network organization in response to brief, discrete, salient auditory stimuli. We estimated network topology and distance parameters in the immediate central response period, <1 s following auditory presentation of standard tones interspersed with occasional deviant tones ...
Added: October 23, 2014
Николаев М. В., Nikitin A. A., Дифференциальные уравнения 2019 Т. 55 № 9 С. 1209-1217
В работе изучается нелинейное интегральное уравнение, возникающее в результате параметрического замыкания третьего пространственного момента в модели У. Дикмана и Р. Лоу. Исследуется вопрос о существовании неподвижной точки интегрального оператора, задаваемого данным уравнением. Доказывается некомпактность полученного оператора. Формулируются условия, при которых уравнение имеет нетривиальное решение. ...
Added: November 7, 2019
Skoptsov K. A., Sheshenin S., Galatenko V. V. et al., International Journal of Applied Mechanics 2016 Vol. 8 No. 2 P. 1650016-01-1650016-18
We present a method for evaluating elastic properties of a composite material produced by molding a resin filled with short elastic fibers. A flow of the filled resin is simulated numerically using a mesh-free method. After that, assuming that spatial distribution and orientation of fibers are not significantly changed during polymerization, effective elastic moduli of ...
Added: May 22, 2016
Decrouez G. G., Robinson A., Risk Analysis: An International Journal 2013 Vol. 33 No. 12 P. 2142-2153
We propose a new modeling approach for inspection data that provides a more useful interpretation of the patterns of detections of invasive pests, using cargo inspection as a motivating example. Methods that are currently in use generally classify shipments according to their likelihood of carrying biosecurity risk material, given available historical and contextual data. Ideally, ...
Added: September 29, 2014
Chernyshev S. V., Cherepanov E. A., Pankratiev E. V. et al., Journal of Mathematical Sciences 2005 Vol. 128 No. 6 P. 3487-3495
Added: January 27, 2014
Bagrov A. N., Gordin V. A., Bykov P. L., Russian Meteorology and Hydrology 2014 No. 5 P. 283-291
The evaluations of the forecasts of surface air temperature and precipitation for the period July 2010 - June 2013 are presented. The forecasting of surface air temperature at 5 days and precipitation at 3 days are considered. Our complex statistical scheme uses the results of the best foreign global schemes, regional scheme COSMO-RU7. The joint ...
Added: December 7, 2013
Bliznets Ivan, Cygan M., Komosa P. et al., ACM Transactions on Computation Theory 2018 Vol. 10 No. 2 P. 1-32
The H-free Edge Deletion problem asks, for a given graph G and integer k, whether it is possible to delete at most k edges from G to make it H-free—that is, not containing H as an induced subgraph. The H-free Edge Completion problem is defined similarly, but we add edges instead of deleting them. The study of these two problem families has recently been the subject of intensive studies from the point of ...
Added: October 30, 2018