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    Article

    Adaptive PI Control Based Stability Margin Configuration of Aircraft Control Systems with Unknown System Parameters and Time Delay

    The stability margin is a vital indicator for assessing the safety level of aircraft control systems. It should maintain sufficient stability margin to ensure safety during flight, especially in the process of...

    Zhibing Zhang, Dapeng Zhou, Yeguang Wang in Journal of Systems Science and Complexity (2024)

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    Article

    On Penalized Goal-Reaching Probability Minimization with a Common Shock for an AAI

    The authors consider a robust optimal reinsurance and investment problem in a risk model with two dependent classes of insurance business for an Ambiguity-Averse insurer (AAI). The insurer aims to minimize the...

    Ying Huang, Ya Huang, Jieming Zhou in Journal of Systems Science and Complexity (2024)

  3. Article

    Open Access

    Structural iterative rounding for generalized k-median problems

    This paper considers approximation algorithms for generalized k-median problems. These problems can be informally described as k-median with a constant number of extra constraints, and includes k-median with outl...

    Anupam Gupta, Benjamin Moseley, Rudy Zhou in Mathematical Programming (2024)

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    Article

    Partitions into Segal–Piatetski–Shapiro sequences

    Let \(\kappa \) κ be any positive real number and

    Ya-Li Li, Nian Hong Zhou in The Ramanujan Journal (2024)

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    Article

    The rotation number for the Schrödinger operator with \(\alpha \) -norm almost periodic measures

    We introduce a new class of almost periodic measures, and consider one-dimensional almost periodic Schrödinger operators with measure-valued potentials. For operators of this kind we introduce a rotation numbe...

    David Damanik, Gang Meng, Meirong Zhang, Zhe Zhou in Mathematische Zeitschrift (2024)

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    Article

    Conditional Regularity for the 3D Damped Boussinesq Equations with Zero Thermal Diffusion

    The main purpose of this paper is to establish regularity criteria of the 3D damped Boussinesq equations with zero thermal diffusion. It is shown that if two components of the velocity or the gradient of veloc...

    Zhouyu Li, Wenjuan Liu, Qi Zhou in Bulletin of the Brazilian Mathematical Soc… (2024)

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    Article

    Error Analysis of Serendipity Virtual Element Methods for Semilinear Parabolic Integro-Differential Equations

    The main objective of this study is to evaluate the performance of serendipity virtual element methods in solving semilinear parabolic integro-differential equations with variable coefficients. The primary adv...

    Yang Xu, Zhenguo Zhou, **gjun Zhao in Journal of Scientific Computing (2024)

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    Article

    An adaptive time-step** Fourier pseudo-spectral method for the Zakharov-Rubenchik equation

    An adaptive time-step** scheme is developed for the Zakharov-Rubenchik system to resolve the multiple time scales accurately and to improve the computational efficiency during long-time simulations. The Cran...

    Bingquan Ji, Xuanxuan Zhou in Advances in Computational Mathematics (2024)

  9. Article

    Open Access

    Global dynamics of a diffusive competitive Lotka–Volterra model with advection term and more general nonlinear boundary condition

    We investigate a competitive diffusion–advection Lotka–Volterra model with more general nonlinear boundary condition. Based on some new ideas, techniques, and the theory of the principal spectral and monotone ...

    Genjiao Zhou, Li Ma in Advances in Continuous and Discrete Models (2024)

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    Article

    An Augmented Two-Scale Finite Element Method for Eigenvalue Problems

    In this paper, an augmented two-scale finite element method is proposed for a class of linear and nonlinear eigenvalue problems on tensor-product domains. Through a correction step, the augmented two-scale fin...

    **aoying Dai, Yunyun Du, Fang Liu in Communications on Applied Mathematics and … (2024)

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    Article

    Well-Posedness of Mild Solutions for Superdiffusion Equations with Spatial Nonlocal Operators

    In this paper, we study the well-posedness for a class of semilinear superdiffusion equations with spatial nonlocal operators. We first establish the Gagliardo–Nirenberg inequality in

    Xuan-Xuan **, Yong Zhou, Mimi Hou in Qualitative Theory of Dynamical Systems (2024)

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    Article

    Optimal Timing of Business Conversion for Solvency Improvement

    In this paper, we study the optimal timing to convert the risk of business for an insurance company in order to improve its solvency. The cash flow of company evolves according to a jump-diffusion process. Bus...

    Peng Li, Ming Zhou in Acta Mathematicae Applicatae Sinica, English Series (2024)

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    Article

    Extriangulated ideal quotients and Gabriel-Zisman localizations

    Let \((\cal{B},\mathbb{E},\mathfrak{s})\) ( B , ...

    Yu Liu, Panyue Zhou in Science China Mathematics (2024)

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    Article

    Gromov hyperbolicity and unbounded uniform domains

    This paper focuses on Gromov hyperbolic characterizations of unbounded uniform domains. Let \(G\subsetneq \mathbb {R}^n\) ...

    Qingshan Zhou, Yuehui He, Antti Rasila, Tiantian Guan in manuscripta mathematica (2024)

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    Article

    A generalized alternating direction method of multipliers for tensor complementarity problems

    In this paper, we consider the tensor complementarity problem (TCP). From the perspective of non-coupled equality constraint minimization problem for the symmetric TCP, we propose a generalized alternating dir...

    Kun Liu, Anwa Zhou, **yan Fan in Computational Optimization and Applications (2024)

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    Article

    Clustering for Bivariate Functional Data

    In this paper, we consider the clustering of bivariate functional data where each random surface consists of a set of curves recorded repeatedly for each subject. The k-centres surface clustering method based on ...

    Shi-yun Cao, Yan-qiu Zhou, Yan-ling Wan in Acta Mathematicae Applicatae Sinica, Engli… (2024)

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    Article

    The Splitting Characteristic Finite Difference Domain Decomposition Scheme for Solving Time-Fractional MIM Nonlinear Advection–Diffusion Equations

    In this paper, we develop a new splitting characteristic finite difference scheme for solving the time-fractional mobile-immobile nonlinear advection–diffusion equation by combining non-overlap** block-divid...

    Zhongguo Zhou, Sihan Zhang, Wanshan Li in Journal of Scientific Computing (2024)

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    Article

    From Right (n + 2)-angulated Categories to n-exangulated Categories

    In this paper, we introduce the notion of a right semi-equivalence for right (n + 2)-angulated categories. Let \(\mathscr{C}\) ...

    Jian He, **g He, Panyue Zhou in Frontiers of Mathematics (2024)

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    Article

    Large Deviations Principle for Stochastic Delay Differential Equations with Super-linearly Growing Coefficients

    We utilize the weak convergence method to establish the Freidlin–Wentzell large deviations principle (LDP) for stochastic delay differential equations (SDDEs) with super-linearly growing coefficients, which co...

    Diancong **, Ziheng Chen, Tau Zhou in Frontiers of Mathematics (2024)

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    Article

    Complex Symmetric Composition Operators on the Hardy Space of the Unit Ball

    In this paper, we introduce a new conjugation induced by a sequence of symmetric unitary n × n matrices on ℂn. And we completely characterize the complex symmetric composition operator Cϕ on the Hardy space of th...

    **ngtang Dong, Yanqiong Guo, Zehua Zhou in Frontiers of Mathematics (2024)

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