Optimization, Simulation, and Control

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Optimization, Simulation, and Control

Issue 76. NY : Springer, 2013.

Under the general editorship: Chinchuluun A., Pardalos P. M., Rentsen E., Pistikopoulos E.

Optimization, simulation and control are very powerful tools in engineering and mathematics, and play an increasingly important role. Because of their various real-world applications in industries such as finance, economics, and telecommunications, research in these fields is accelerating at a rapid pace, and there have been major algorithmic and theoretical developments in these fields in the last decade.

This volume brings together the latest developments in these areas of research and presents applications of these results to a wide range of real-world problems.

- Collection of selected contributions giving a state-of-the-art account of recent developments in the field
- Covers a broad range of topics in optimization and optimal control, including unique applications
- Written by an international group of experts in their respective disciplines
- Broad audience of researchers, practitioners, and advanced graduate students in applied mathematics and engineering

Research target: Mathematics Computer Science

Priority areas: management mathematics engineering science

Language: English

Sample Chapter

Keywords: оптимальные системы numerical analysis applied optimization control theory mathematical modeling and simulation nonlinear optimization variational inequalities математическая теория управления оптимальное управление

Относительные аналитические законы взаимности

Осипов Д.В., Математический сборник 2026 Т. 217 № 9 С. 130–146

Изучаются законы взаимности, связанные с комплексными линейными расслоениями на расслоениях на ориентируемые окружности. В частности, доказывается следующий закон взаимности. Пусть B – комплексное многообразие и πi:Mi→B – расслоение на ориентируемые окружности, где индекс i пробегает конечное множество. Пусть Li и Ni – комплексные линейные расслоения на каждом многообразии Mi. Закон взаимности утверждает, что сумма всех элементов (πi)∗(c1(Li)∪c1(Ni)), где (πi)∗ – ...

Added: September 3, 2026

A unified frequency-domain framework for tilted slice localization and ischemic stroke detection

Khodadoust J., Kulikova S., Khodadoust F., Biomedical Signal Processing and Control 2027 Vol. 129 P. 111284–111284

Acute ischemic stroke (AIS) analysis from two-dimensional (2D) clinical imaging is hindered by uncontrolled slice tilt and geometric inconsistencies that violate the assumptions of pose-agnostic deep learning (DL) models. This paper proposes a unified geometry-aware, frequency-domain framework for tilted slice localization and ischemic stroke segmentation that explicitly decouples pose estimation from lesion analysis. The method ...

Added: September 2, 2026

Proceedings of the 2026 Fourth International Conference on Distributed Computing and High Performance Computing (DCHPC)

IEEE, 2026.

On behalf of the Organizing Committee, it is my great pleasure to extend a warm welcome to all participants of the Fourth International IEEE Conference on Distributed Computing and High-Performance Computing (DCHPC 2026), held in Tehran from May 10–11, 2026. This conference is jointly organized by the School of Computer Science at the Institute for Research in Fundamental Sciences (IPM) ...

Added: September 2, 2026

Orbifold Saito theory of A and D type singularities

Basalaev A., Rarovskii A., Journal of Singularities 2026 Vol. 30 P. 61–80

Saito theory associates to an isolated singularity rich structure that plays an important role in mirror symmetry. In this note we construct Saito theory for A and D type Landau-Ginzburg orbifolds. Namely, for the pairs (f,G), where f defines an isolated singularity of A and D type and G is a group of symmetries of ...

Added: September 1, 2026

Non-axiomatizability of modal predicate logics of Dedekind-complete linear orders with constant domains

Rybakov M., Shkatov D., Journal of Logic and Computation 2026 Vol. 36 No. 6 Article exag026

We prove Pi-1-1-hardness, and thus lack of recursive axiomatizability, of constant-domain modal predicate logics defined by a class of Dedekind complete linear Kripke frames containing a frame with an infinitely increasing chain of worlds. The result holds even for the language with one unary predicate letter, one propositional letter, and two individual variables. ...

Added: September 1, 2026

Semi-Interlaced Polytopes

Селянин Ф. И., Moscow Mathematical Journal 2026 Vol. 26 No. 2 P. 167–187

Minkowski mixed volume of n subpolytopes D1,…,Dn of a polytope P⊂Rn clearly does not exceed the normalized volume n!Vol(P). Equality holds if and only if the subpolytopes are interlaced, i.e., each proper face F⊊P intersects at least dim(F)+1 of the polytopes Di. Efficiently computing mixed volumes for more general collections of subpolytopes is crucial for estimating the complexity of numerically solving polynomial systems. Motivated by relaxing the bound dim(F)+1 to dim(F), we ...

Added: August 31, 2026

A new spin on polynomial relations among kappa classes

Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., International Mathematics Research Notices 2026 Vol. 14 Article rnag146

We prove a recent conjecture of the fourth named author with P. Norbury that states a system of universal polynomial relations among the kappa classes on the moduli spaces of algebraic curves. The proof involves localization and materialization analysis of the spin Gromov–Witten theory of the projective line and is dictated by Z 2 -equivariant ...

Added: August 31, 2026

Any Topological Recursion on a Rational Spectral Curveis KP Integrable

Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., Communications in Mathematical Physics 2026 Vol. 407 No. 69

We prove that for any initial data on a genus zero spectral curve the cor responding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type formulas to the r-th roots of the twisted powers of the log canonical bundles ...

Added: August 31, 2026

Сплетенный мир: кошка перевернулась. Доклад Римскому клубу

Gromov V., Переслегин С. Б., Переслегина Е. Б. et al., СПб.: Полакс, 2026.

Механизм происходящих в мире изменений носит эволюционный, а не экологический характер. Иначе говоря, Человечество столкнулось с кризисом развития, который имеет три независимые составляющие: кризис индустриального общества (фазовый кризис), кризис научного мышления (эпистемный кризис) и кризис формата существования разума (социосистемный кризис). Доклад посвящён аспектам этого триединого кризиса и возможным путям его преодоления, не сводящимся к первичному ...

Added: August 31, 2026

Infinitely many graph manifolds with unique geometrical piece that admit arbitrarily many Anosov flows

Pochinka O., Shmukler V., / Series math.RT "arXiv:1808.06395 [math.RT]". 2026.

Anosov flows have a long and rich history, firstly motivated by the study of geodesic flows in negative curvature surface by Anosov and Sinai. Not every closed manifold admits an Anosov flow for well-known reasons: the fundamental group of a 3-manifold M admitting an Anosov flow must have exponential growth, and M must be universally covered by R3. Nevertheless, there ...

Added: August 31, 2026

Multiplicity-free products of Schubert divisors

Devyatov R. A., Mathematical notes 2026 Vol. 119 No. 3 P. 782–786

Let G/B be a flag variety over ℂ, where G is a simple algebraic group with a simply laced Dynkin diagram, and B is a Borel subgroup. We say that the product of classes of Schubert divisors in the Chow ring is multiplicity free if it is possible to multiply it by a Schubert class ...

Added: August 30, 2026

Mukai models of Fano varieties

Bayer A., Kuznetsov A., Macrì E., Journal fuer die reine und angewandte Mathematik 2026 Vol. 2026 No. 836 P. 111–162

We give a self-contained and simplified proof of Mukai’s classification of prime Fano threefolds of index 1 and genus g ≥ 6 with at most factorial terminal singularities, and of its extension to higher dimension. ...

Added: August 30, 2026

Mukai bundles on Fano threefolds

Bayer A., Kuznetsov A., Macrì E., Compositio Mathematica 2026 Vol. 162 No. 1 P. 59–99

We give a proof of Mukai’s theorem on the existence of certain exceptional vector bundles on prime Fano threefolds. To our knowledge this is the first complete proof in the literature. The result is essential for Mukai’s biregular classification of prime Fano threefolds, and for the existence of semiorthogonal decompositions in their derived categories. Our ...

Added: August 30, 2026

Full exceptional collections on the symplectic isotropic Grassmannians

Guseva L., Novikov A., Advances in Mathematics 2026 Vol. 503 Article 111211

We prove that the Kuznetsov–Polishchuk exceptional collections on rational homogeneous spaces of the symplectic groups Sp(2n,C) are full and consist of vector bundles. To achieve this, we construct several classes of complexes, which we call generalized staircase complexes, symplectic staircase complexes and secondary staircase complexes — each of which may be of independent interest. ...

Added: August 30, 2026

Exceptional pairs on del Pezzo surfaces and spaces of compatible Feigin-Odesskii brackets

Polishchuk A., Rains E., Journal of the Institute of Mathematics of Jussieu 2026 Vol. 25 No. 1 P. 339–373

We prove that for every relatively prime pair of integers (d,r) with r>0, there exists an exceptional pair (O,V) on any del Pezzo surface of degree 4, such that V is a bundle of rank r and degree d. As an application, we prove that every Feigin-Odesskii Poisson bracket on a projective space can be ...

Added: August 30, 2026

Analog of theta-lifting for a curve over dual numbers over a finite field

Kazhdan D., Polishchuk A., Pure and Applied Mathematics Quarterly 2026 Vol. 22 No. 3 P. 1115–1166

We continue the study of automorphic functions associated with a curve C over the ring k[ε]/(ε²), where k is a finite field, begun in arXiv:2303.16259. Namely, we study an example of theta-lifting in this framework and show that it can be understood in terms of the orbit decomposition of the space of automorphic functions S(SL₂(F)\SL₂(A_C)) ...

Added: August 30, 2026

Defining the Right Level of Risk in Organizational Innovation:Factors, Criteria, and Strategic Balance

Alena Bernyukevich, / Series WP BRP "Basic research program". 2025.

This essay explores the complex issue of determining the appropriate level of risk when implementing innovations within organizations. While innovation is widely recognized as a cornerstone of competitiveness, growth, and sustainability, excessive or poorly managed risk can lead to significant challenges. The discussion highlights key factors influencing acceptable risk levels, including alignment with corporate goals, ...

Added: August 17, 2026

New bound on S1× S2-setting Bell locality of a nonseparable Werner state

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

On functional equations for Chow polylogarithms

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

On Goncharov’s conjecture in next to Milnor degree

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

Statistical inference based on band-limited kernels: Rational-infinitely divisible distributions and beyond

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

Strong Approximations for Markov Chains Weakly Converging to Diffusions

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

Assessing the impact of economic sanctions on the socio-economic development of a sanctioned country -testing a new research approach using the data on the socio-economic development of Russia in 2022-2025

Gurkov I. B., Kossov V. V., Filinov N. et al., / NRU Higher School of Economics. Series MAN "Management". 2026. No. N/A.

This research note is devoted to assessing the socioeconomic impact of sanctions of sanctioned countries and uses the data on Russia in 2022-2024. We use for the analysis four fundamental socioeconomic parameters-the expected length of life of males at birth, the misery index (Okun's index), the level of Gross Domestic Product at purchasing parity prices, ...

Added: June 11, 2026

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