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On a finite element method for measure-valued optimal control problems governed by the 1D generalized wave equation
Comptes Rendus Mathematique. 2018. Vol. 356. No. 5. P. 523–531.
The paper deals with the optimal control problems governed by the 1D wave equation with variable coefficients and the control spaces of either measure-valued functions or vector measures. Bilinear finite element discretizations are constructed and their stability and error analysis is accomplished.
Ponomarenko A., / Series Computer Science "arxiv.org". 2025.
This paper addresses the challenge of merging hierarchical navigable small world (HNSW) graphs, a critical operation for distributed systems, incremental indexing, and database compaction. We propose three algorithms for this task: Naive Graph Merge (NGM), Intra Graph Traversal Merge (IGTM), and Cross Graph Traversal Merge (CGTM). These algorithms differ in their approach to vertex selection ...
Added: July 30, 2026
Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a nonseparable Werner state with a ...
Added: July 21, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity.
To prove this, we study ...
Added: July 16, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
Added: July 16, 2026
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Piontkovski D., / Series arXiv "math". 2026.
A noncommutative projective variety is defined, following Artin and Zhang, by a graded coherent algebra 𝐴. The category of coherent sheaves is then the quotient qgr(𝐴) of the category of finitely presented graded modules by the subcategory of torsion modules. We consider the categorical and polynomial entropies of the Serre twist, that is, of the ...
Added: June 23, 2026
Piontkovski D., / Series arXiv "math". 2025.
If a symmetric multilinear algebra is weakly nil, then it is Engel. This result may be regarded as an infinite-dimensional analogue of the well-known Jacobian theorem, which states that if a polynomial mapping has a polynomial inverse, then its Jacobian matrix is invertible. This refines a theorem of Gerstenhaber and partially answers a question posed ...
Added: June 23, 2026
Konakov V., Kucher D., Mammen E., / Series arXiv "math". 2026. No. 2606.11142v1.
In this paper, we construct strong approximations for discrete-time Markov chains weakly converging to continuous diffusion processes, as well as for their perturbed counterparts. Under the assumption of bounded coefficients, we construct closely coupled versions of these processes on a shared probability space. In particular, for both non-degenerate and degenerate cases, we maximize the probability ...
Added: June 11, 2026
Shipilov F., Barnyakov A., Ivanov A. et al., / Series Physics "arxiv.org". 2026.
A fast simulation of the detector response is a vital task in high-energy physics (HEP). Traditional Monte-Carlo methods form the backbone of modern particle physics simulation software but are computationally expensive. We present a machine-learning-based approach to fast simulation of the Focusing Aerogel Ring Imaging Cherenkov (FARICH) detector response. Given a particle track and momentum, ...
Added: May 19, 2026
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
Taletskii D., / Series arXiv "math". 2026.
A vertex subset of a graph is called a \textit{distance-$k$ independent set} if the distance between any two of its distinct vertices is at least $k + 1$. For all $n,k \geq 1$, we determine the minimum possible number of inclusion-wise maximal distance-$k$ independent sets among all $n$-vertex trees. It equals~$n$ if $n \leq k ...
Added: May 1, 2026
Ovcharenko M., / Series arXiv "math". 2026.
We introduce an explicit class of tempered Laurent polynomials in the sense of Villegas and Doran--Kerr in n⩽4 variables including all Landau--Ginzburg models for smooth Fano threefolds with very ample anticanonical class. We check that it contains Landau--Ginzburg models for various Fano fourfolds which are complete intersections in smooth toric varieties and Grassmannians of planes, ...
Added: April 30, 2026
Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.
Comprehensive data on natural hazards and their consequences are crucial for effective for risk assessment, adaptation planning, and emergency response. However, many countries face challenges with fragmented, inconsistent, and inaccessible data, particularly regarding local-scale events. To address this data gap in Russia, we developed an end-to-end processing pipeline that scrapes news from various online sources, ...
Added: April 28, 2026
Левенков Я. Ю., Чичекин И. В., Вдовин Д. С. et al., Труды НАМИ 2025 № 1 (300) С. 17–30
Введение (постановка задачи и актуальность). В настоящее время широкое распространение получило использование автономных мобильных беспилотных транспортно-технологических средств (БТТС) при выполнении работ в зонах с вредными и опасными факторами. Также данные машины могут быть использованы для выполнения поисково-спасательных работ, доставки грузов в труднодоступные районы и иных подобных задач. Поэтому к таким БТТС предъявляются повышенные требования к ...
Added: April 16, 2026
Mikolaenko V., Конюшенко М. Н., Стулков Л. Д., Механическое оборудование металлургических заводов 2025 № 2(25) С. 23–30
Uniaxial tensile testing of flat specimens under superplastic conditions is widely used to determine the deformation behavior of materials. However, the standard interpretation of the results relies on the hypothesis of an ideal uniaxial stress state and often fails to account for the influence of specimen geometry and material flow from the gripping zones to ...
Added: March 5, 2026
Shishkina E., Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria 2025
This article investigates the problem of approximating the generalized
Erdélyi-Kober fractional operator (often referred to as the Lowndes operator)
using cubic splines. A method based on cubic spline interpolation
is proposed for approximating the operator on a non-uniform grid. The
convergence rate of the proposed method is proven, and its stability is
analyzed. Error bounds are established for functions in ...
Added: March 2, 2026
Maltseva S. V., Голубцов П. В., Барахнин В. Б., Вычислительные технологии 2026 Т. 31 № 1 С. 5–22
The issues of macro-level monitoring of the manufacturing system in the implementation of the concepts of Industry 4.0 and 5.0 based on the study of information flows in manufacturing network structures are considered. The numerical models of three types of network interaction, that taking into account the influence of the number of objects, external influences, ...
Added: February 26, 2026
Мартынова И. А., Дакашева Т. М., В кн.: XLVIII Самарская областная студенческая научная конференция: тезисы докладовТ. 2.: Эко-Вектор, 2022. С. 176–177.
В процессе научно-технического прогресса, а также в связи с последними событиями на мировом пространстве, связанными с пандемией короновируса и другими непредвиденными изменениями, все интенсивнее возрастает потребность специалистов дать названия новым реалиям в своих исследованиях. ...
Added: February 4, 2026
Мартынова И. А., , in: The European Proceedings of Social and Behavioural Sciences: Global Challenges and Prospects of the Modern Economic DevelopmentVol. 106.: European Publisher, 2021. P. 2357–1330.
In the new challenging time, corporate social responsibility has become a central issue for universities to get through the crisis caused by COVID-19. Under the crisis success of universities is directly dependent on their students’ level of satisfaction. The higher their rate of satisfaction is the greater are the chances to succeed. Thus, one of ...
Added: February 4, 2026
Арженовский И. В., Региональная экономика и управление: электронный научный журнал 2021 № 3 (67) Статья 11
At the present stage, regional specializations are being formed in the framework of the next technological wave, which is characterized by digitalization, “green” economy, bio- and nanotechnology, knowledge-based economy, and growing attention to human capital. The changes resulting from the Covid-19 pandemic belong to these characteristics as well. The article analyzes the influence of these ...
Added: January 21, 2026
Konstantin Polyakov, Marina Polyakova, Polyakov A., Procedia Computer Science 2025 Vol. 266 P. 205–212
This study is devoted to the analysis of the relationship between the solution of two different tasks facing the management of a commercial organization - ensuring the efficiency and sustainability of the business. An analysis of publications on this topic shows the existence of contradictory conclusions. The authors hypothesize that there is a strong statistical ...
Added: October 8, 2025
Sorbale A., Stremoukhov D., Shevtsova I., Политическая наука 2025 № 3 С. 36–62
External shocks have a significant impact on the quality of governance and the stability of political systems around the world. The concept of resilience, which until recently was only actively used in natural science research, has become a key focus for political scientists studying the impact of crises on political institutions in various country contexts. ...
Added: September 4, 2025
Perfluorosulfonic acid polymer membrane with increased chemical stability for hydrogen-air fuel cell
Safronova E. Y., A. O. Bedarkova, Novikova S. et al., Polymer Degradation and Stability 2025 Vol. 240 Article 111477
One of the key tasks of hydrogen energy development is to obtain chemically stable proton exchange polymer membranes with high proton conductivity. This article presents the results on the investigation of the stabilization of proton-conducting membranes with a Nafion®-type structure using modification by fluorine. The membranes examined in this study exhibited high thermal stability and ...
Added: August 26, 2025
Котельников А. В., Laboratorium. Журнал социальных исследований (США) 2024 Т. 16 № 2 С. 4–23
The article presents an ethnographic study of the commune Dom (Home), one of about a dozen currently existing communes (“homes”) in Saint Petersburg, Russia, based on cohabitation and management of common household by people who are not related to each other, in large apartments (once communal apartments or dormitories). The residents of the Dom postulate ...
Added: May 20, 2025