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  • Международная конференция «Математические идеи П. Л. Чебышёва и их приложения к современным проблемам естествознания», приуроченная к 200-летию со дня рождения великого русского математика, академика П. Л. Чебышёва : Материалы конференции.
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News
May 15, 2026
Preserving Rationality in a Period of Turbulence
The HSE International Laboratory for Logic, Linguistics and Formal Philosophy studies logic and rationality in a transformed world characterised by a diversity of logical systems and rational agents. The laboratory supports and develops academic ties with Russian and international partners. The HSE News Service spoke with the head of the laboratory, Prof. Elena Dragalina-Chernaya, about its work.
May 15, 2026
‘All My Time Is Devoted to My Dissertation
Ilya Venediktov graduated from the Master’s programme at the HSE Tikhonov Moscow Institute of Electronics and Mathematics through the combined Master’s–PhD track and is currently studying at the HSE Doctoral School of Engineering Sciences. At present, he is undertaking a long-term research internship at the University of Science and Technology of China in Hefei, where he is preparing his dissertation. In this interview, he explains how an internship differs from an academic mobility programme, discusses his research topic, and describes the daily life of a Russian doctoral student in China.
May 15, 2026
‘What Matters Is Not What You Study, but Who You Study with
Katerina Koloskova began studying Arabic expecting to give it up after a year—now she cannot imagine her life without it. In an interview for the Young Scientists of HSE University project, she spoke about two translated books, an expedition to Socotra, and her love for Bethlehem.

 

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Международная конференция «Математические идеи П. Л. Чебышёва и их приложения к современным проблемам естествознания», приуроченная к 200-летию со дня рождения великого русского математика, академика П. Л. Чебышёва : Материалы конференции.

Калужский печатный двор, 2021.
Editor-in-chief: В. А. Галкин
Under the general editorship: В. Б. Бетелин

conference proceedings

Chapters
NUMERICAL SOLUTION OF 3D NON-STATIONARY SCATTERING PROBLEMS WITH SUBLINEAR COMPLEXITY
Petropavlovsky S., Tsynkov S., Turkel E., , in: Международная конференция «Математические идеи П. Л. Чебышёва и их приложения к современным проблемам естествознания», приуроченная к 200-летию со дня рождения великого русского математика, академика П. Л. Чебышёва : Материалы конференции.: Калужский печатный двор, 2021. P. 342–343.
Added: October 22, 2021
ВОССТАНОВЛЕНИЕ ГЕОМЕТРИИ КОРОНАРНЫХ АРТЕРИЙ ПО ДАННЫМ КОМПЬЮТЕРНОЙ ТОМОГРАФИИ
Chepovskiy A., Борисенко В. В., В кн.: Международная конференция «Математические идеи П. Л. Чебышёва и их приложения к современным проблемам естествознания», приуроченная к 200-летию со дня рождения великого русского математика, академика П. Л. Чебышёва : Материалы конференции.: Калужский печатный двор, 2021. С. 240–242.
Рассматривается алгоритм построения трехмерной модели коронарных артерий и ча-сти аорты по данным компьютерной томографии. ...
Added: February 19, 2022
Research target: Mathematics Physics
Language: Russian
Full text
DOI
Text on another site
Keywords: метод разностных потенциалов
Международная конференция «Математические идеи П. Л. Чебышёва и их приложения к современным проблемам естествознания», приуроченная к 200-летию со дня рождения великого русского математика, академика П. Л. Чебышёва : Материалы конференции.
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Perovskite nanoparticles Cs4PbBr6 and CsPbBr3: synthesis, analysis and peculiar optical properties
Гущина В. А., / Series chemrxiv-2023-vpzhz-v2 "ChemRxiv". 2023.
All-inorganic perovskite CsPbBr3 and Cs4PbBr6 nanoparticles are being intensively studied due to their unique properties and wide range of applications; however, however, the nature of their optical properties is not yet fully understood due to the difficulty of synthesis of singlephase nanoparticles. In this article we describe the features of the synthesis of single-phase particles ...
Added: May 14, 2026
Bifurcations and Structural Stability of Generic PC-HC Families
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
CsPbBr3 and Cs4PbBr6 perovskite nanoparticles: hidden potential of Cs4PbBr6 or ineffective fluorescence?
Гущина В. А., Mendeleev Communications 2025 Vol. 35 No. 2 P. 193–195
All-inorganic perovskite CsPbBr3 and Cs4PbBr6 nanoparticles are intensively studied for their unique optical properties, though synthesizing single-phase nanoparticles has posed challenges. Detailed synthesis method of CsPbBr3 and Cs4PbBr6 single-phase nanoparticles and their chemical and phase analysis are described. Distinctive optical characteristics, such as photoluminescence, optical band gap and the Urbach tail region, are revealed and explained within the current ...
Added: May 14, 2026
SERS effect on the surface of ZnO nanorods coated with CsPbBr3
Гущина В. А., Physics of Complex Systems, Russia 2026 Vol. 7 No. 1 P. 3–15
Heterostructures based on ZnO nanorods and CsPbBr3 nanocrystals were investigated for their potential as semiconductor SERS substrates. We found that ZnO morphology governs the efficiency of interfacial energy transfer, leading to enhanced photoluminescence under 390 nm excitation and a noticeable reduction of the bandgap in the composites. Raman analysis revealed a pronounced intensity enhancement and ...
Added: May 14, 2026
The Sobolev space W_2^{1/2}: Simultaneous improvement of functions by a homeomorphism of the circle
Lebedev V., Journal of Mathematical Analysis and Applications 2026 Vol. 563 No. 2 Article 130787
It is known that for every continuous real-valued  function $f$ on the circle $\mathbb T=\mathbb R/2\pi\mathbb Z$ there exists a  change of variable, i.e., a self-homeomorphism $h$ of $\mathbb T$, such that  the superposition $f\circ h$ is in the Sobolev space $W_2^{1/2}(\mathbb T)$.  We obtain new results on simultaneous improvement of functions by a single  change of variable in relation ...
Added: May 14, 2026
Symmetric Cubic Polynomials
Blokh A., Oversteegen L., Selinger N. et al., Arnold Mathematical Journal 2025 Vol. 12 No. 1 P. 1–40
We describe a model for the boundary of the connectedness locus of the parameter space of cubic symmetric polynomials. We show that there exists a monotone continuous function from the connectedness locus to the model which is a homeomorphism if the former is locally connected. ...
Added: May 13, 2026
Игры на сетях с линейным наилучшим ответом: модели и методы управления
Petrov I., Автоматика и телемеханика 2026 № 6 С. 82–118
Системам связанных агентов и сетевому управлению посвящено большое число отечественных и зарубежных исследований. Исторически, наибольший интерес в теории управления возникал к усредняющим системам и, в частности, к задаче консенсуса. Однако сетевое взаимодействие может характеризоваться более специфическими функциями, отражающими зависимость от действий соседей по сети, что особенно явно проявляется в моделях стратегического взаимодействия на сети, которое ...
Added: May 12, 2026
Архимед: научно-методический сборник
М.: ООО «Макс Пресс», 2026.
В настоящем сборнике представлены тезисы докладов участников семинара "Интеграция основного и дополнительного физико-математического образования", проходившего 11 февраля 2026 года в ГБОУ Школа №2007 ФМШ г. москвы, а также другие публикации, посвящённые вопросам дополнительного физико-математического образования. ...
Added: May 11, 2026
Wave propagation and transformation in the frame of magnetohydrodynamics with a vortex electric field
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Bright transient objects in different wave bands have been discovered in recent years. To explain these short (from ms to s), and very powerful events, different models, galactic and extragalactic, have been considered. One of the popular models is based on the suggestion of transformation of the magnetized plasma blob, presumably a magnetohydrodynamic (MHD) shock wave, moving with relativistic ...
Added: May 11, 2026
MHD Simulations of Magnetized Rotating Jets
Торопина О. Д., Бисноватый-Коган Г. С., Moiseenko S. G., Astronomy Reports 2025 Vol. 69 No. Suppl. 1 P. 80–90
The results of MHD simulations of supersonic astrophysical and laboratory jets in an external poloidal magnetic field (Br,Bz) taking into account the rotation of the matter, are presented. The ejected matter is collimated by the magnetic field, the degree of collimation and the flow structure depend on the relation between of the magnetic field induction and the angular ...
Added: May 11, 2026
A two-point phase recovering from holographic data on a single plane
Novikov R., Sivkin V., Inverse Problems 2026 Vol. 42 No. 4 Article 045009
We consider a plane wave, a radiation solution, and the sum of these solutions (total solution) for the Helmholtz equation in an exterior region in Rd, d ⩾ 2. In this region, we consider a hyperplane X with sufficiently large distance s from the origin in Rd. We give two-point local formulas for approximate recovering the radiation ...
Added: May 11, 2026
Multivariate Newton interpolation in downward closed spaces reaches the optimal Bernstein–Walsh approximation rate
Hecht M., Hofmann P., Wicaksono D. et al., IMA Journal of Numerical Analysis 2026 Vol. 00 P. 1–30
Recent advances in Bernstein—Walsh theory have extended Bernstein’s Theorem to multiple dimensions, stating that a multivariate function can be approximated with a geometric rate in a downward-closed polynomial space if and only if it is analytic in a generalized Bernstein polyellipse. To compute approximations of this class of functions—which we term Bos–Levenberg–Trefethen–(BLT) functions—we extend the ...
Added: May 11, 2026
Weighted Chernoff Information and Optimal Loss Exponent in Context-Sensitive Hypothesis Testing
Kelbert M., Kalimulina E. Y., Entropy 2026 Vol. 28 Article 536
We study binary hypothesis testing for i.i.d. observations under a multiplicative context weight. For the optimal weighted total loss, defined as the sum of weighted type-I and typeII losses, we prove the logarithmic asymptotic L∗n = exp{−nDwC (P,Q) + o(n)}, n →∞, where Dw C is the weighted Chernoff information. The single-letter form of the exponent relies on ...
Added: May 7, 2026
Calogero–Sutherland hyperbolic system and Heckman–Opdam $$\mathfrak {gl}_n$$ gl n hypergeometric function
Белоусов Н. М., Черепанов Л. К., Деркачов С. Э. et al., Selecta Mathematica, New Series 2026 Vol. 32 Article 44
We prove equivalence of two integral representations for the wave functions of hyperbolic Calogero–Sutherland system. For this we study two families of Baxter operators related to hyperbolic Calogero–Sutherland and rational Ruijsenaars models; the first one as a limit from hyperbolic Ruijsenaars system, while the second one independently. Besides, computing asymptotics of integral representations and also ...
Added: May 6, 2026
Hodge Laplacian Eigenvalues on Surfaces with Boundary
Муравьев М. Ю., Annales Mathematiques du Quebec 2025
Recently Rohleder proposed a new variational approach to an inequality between the Neumann and Dirichlet eigenvalues in the simply connected planar case using the language of classical vector analysis. Interpreting his approach in terms of differential forms permits to generalize these results to a much broader context. The spectrum of the absolute boundary problem for ...
Added: May 6, 2026
Numerical modeling of 3D time-harmonic scattering problems with regularized difference potentials
Petropavlovsky S., Turkel E., Journal of Computational Physics 2026 Vol. 558 Article 114880
We propose a method for the numerical computation of the 3D time-harmonic scattering about objects of complex shape. Our approach relies on the method of difference potentials combined with the lacunae-based integration of the Helmholtz equation. The former allows to handle curvilinear boundaries of scattering shapes on regular Cartesian grids with no loss of accuracy. ...
Added: April 6, 2026
Computation of unsteady electromagnetic scattering about 3D complex bodies in free space with high-order difference potentials
Petropavlovsky S., Tsynkov S., Turkel E., Journal of Computational Physics 2024 Vol. 498 Article 112705
We extend the previously developed high-order accurate method for acoustic scattering to electro-magnetic scattering, i.e., from the scalar setting to a vector setting. First, the governing Maxwell’s equations are reduced from their original first-order form to a system of second-order wave equa-tions for the individual Cartesian components of electromagnetic field. In free space, these wave ...
Added: December 12, 2023
Numerical Solution of 3D Exterior Unsteady Wave Propagation Problems Using Boundary Operators
Petropavlovsky S., Tsynkov S., Turkel E., SIAM Journal of Scientific Computing 2020 Vol. 42 No. 5 P. A3462–A3488
We propose a boundary method for the numerical simulation of time-dependent waves in three-dimensional (3D) exterior regions. The order of accuracy can be either second or fourth in both space and time. The method reduces a given initial boundary value problem for the wave equation to a set of operator equations at the boundary of the original domain. ...
Added: October 31, 2020
Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov’s Legacy. A Liber Amicorum to Professor Godunov
Petropavlovsky S., Tsynkov S., Turkel E., Springer, 2020.
We propose an efficient algorithm based on boundary operator equations for the numerical simulation of time-dependent waves in 3D. The algorithm employs the method of difference potentials combined with the (strong) Huygens’ principle (lacunae of the solution). It can handle nonconforming boundaries on regular structured grids with no loss of accuracy and offers sublinear computational complexity. ...
Added: May 3, 2020
Метод разностных потенциалов для эволюционных уравнений с лакунами
Petropavlovsky S., Цынков С. В., Журнал вычислительной математики и математической физики 2020 Т. 60 № 4 С. 725–737
A boundary method for simulation of wave propagation in 3D is proposed. The approach relies on the method of difference potentials and Huygens'principle allowing for an update of the solution only on the boundaries of a scatterer/ ...
Added: April 13, 2020
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