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3,393 Result(s)
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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...
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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...
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Article
Open AccessStructural 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...
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Partitions into Segal–Piatetski–Shapiro sequences
Let \(\kappa \) κ be any positive real number and
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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...
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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...
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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...
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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...
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Open AccessGlobal 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 ...
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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...
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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
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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...
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Article
Extriangulated ideal quotients and Gabriel-Zisman localizations
Let \((\cal{B},\mathbb{E},\mathfrak{s})\) ( B , ...
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Article
Gromov hyperbolicity and unbounded uniform domains
This paper focuses on Gromov hyperbolic characterizations of unbounded uniform domains. Let \(G\subsetneq \mathbb {R}^n\) ...
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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...
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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 ...
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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...
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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 \(\mathscr{C}\) ...
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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...
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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...