Beam Shaping by Mode Superposition With Coefficient Optimization by Guowen Zhang, Hang Sun, Ziyang Chen, Yanli Zhang, Jixiong Pu, Jianqiang Zhu

“…One conventional approach for beam shaping is using the superposition of eigenmodes, such as the Hermite-Gaussian (HG) modes. However, despite the generation of a flat-top beam by HG modes with identical coefficients, it is challenging to achieve other specific intensity distributions by this method. …”
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Quantum computing for extracting nuclear resonances by Hantao Zhang, Dong Bai, Zhongzhou Ren

“…In this work, we combine quantum computing with the complex scaling method to address the resonance problem. Due to the non-Hermiticity introduced by complex scaling, standard quantum computing cannot solve for complex eigenvalues directly. …”
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The Computational Solution of Generalized Inverse Eigenvalue Problem for Pseudo-Jacobi Matrix by Fuxia Yi, Enhua Li

“…This paper is concerned with two generalized inverse eigenvalue problems for a kind of pseudo-Jacobi matrix. From a non-Hermite matrix, an r×r Jacobi matrix, two distinct real eigenvalues, and part of the corresponding eigenvectors, an n×n pseudo-Jacobi matrix is constructed. …”
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Computational Modelling of Thermal Stability in a Reactive Slab with Reactant Consumption by O. D. Makinde

“…The steady-state problem is solved using a perturbation technique together with a special type of the Hermite-Padé approximants. Graphical results are presented and discussed quantitatively with respect to various embedded parameters controlling the systems. …”
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A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomials by Waseem Ahmad Khan, Divesh Srivastava, Kottakkaran Sooppy Nisar

“…As obvious special cases of the newly introduced polynomials, we also called power sum-Laguerre-Hermite polynomials and generalized Laguerre and poly-Bernoulli polynomials and present some of their involved identities and formulas. …”
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Downlink outage probability analysis of distributed MIMO systems over a composite fading channel by Wen-jie PENG, Yue-heng LI, Mei-yan JU, Ping HUANG, Guo-ping TAN

“…Next, an approxi-mate analytical expression of average downlink outage probability of the system with arbitrary MS distribution was de-rived through using mathematical methods such as moment generating function, Gauss-Hermite integral, composite Simpson's rule and so on. …”
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Dynamical Techniques for Analyzing Iterative Schemes with Memory by Neha Choubey, A. Cordero, J. P. Jaiswal, J. R. Torregrosa

“…The parameters have been defined by Hermite interpolating polynomial that allows the accelerating effect. …”
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Quartic Rational Said-Ball-Like Basis with Tension Shape Parameters and Its Application by Yuanpeng Zhu, Xuli Han, Shengjun Liu

“…The new basis is applied to generate a class of C1 continuous quartic rational Hermite interpolation splines with local tension shape parameters. …”
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Fault Diagnosis Method for the Bearing of Reciprocating Compressor based on LMD Multiscale Entropy and SVM by Yang Songshan, Zhou Hao, Zhao Haiyang, Wang Jindong

“…Aiming at the non-stationary and nonlinearity characteristics of reciprocating compressor vibration signal,a fault diagnosis method for bearing fault of reciprocating compressor based on LMD multiscale entropy and SVM is proposed.To improve the envelope approximation accuracy of local mean and envelope estimation,cubic Hermite interpolation method is used to construct envelope curves between extreme points according to the excellent characteristic of shape preservation.The vibration signals in each state are decomposed into a series of PF components with the improved LMD method,and the PF components which contain the main information of fault state are chosen according to the relative coefficient.By using the multiscale entropy,the quantitative description of the PF components is carried out,and the optimized scale factor is selected based on the maximum of average distances between different states,so the eigenvectors which have the best divisibility are extracted.The SVM is taken as pattern classifier,the type of bearing clearance fault is diagnosed,and the superiority of this method is verified by comparing the eigenvectors extracted by LMD and sample entropy and LMD and approximate entropy method.…”
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Circular thin plates buckling analysis with HRPIM method by Baid Sokayna, Hilali Youssef, Mesmoudi Saïd, Bourihane Oussama

“…The algorithm integrates high-order continuation (HOC) solver and the Hermite-type radial point interpolation method (HRPIM). …”
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On generalizations of the series of Taylor, Lagrange, Laurent and Teixeira by L. M. B. C. Campos

“…As an application, these generalized series can be used to generate special functions with complex parameters (Campos 1986), e.g., the Hermite and Bessel types.…”
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Connectivity, Information Jumps, and Market Stability: An Agent-Based Approach by Khaldoun Khashanah, Talal Alsulaiman

“…Three experiments examine the role of hubs, normal agents, and hermits in the network when intermediate combinations of agent types have information awareness. …”
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Generating Solar Sail Trajectories in the Earth-Moon System Using Augmented Finite-Difference Methods by Geoffrey G. Wawrzyniak, Kathleen C. Howell

“…Two augmented finite-difference methods (FDMs) are developed and compared to a Hermite-Simpson collocation scheme. With 101 evenly spaced nodes, solutions from the FDM are locally accurate to within 1740 km. …”
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Linear Bending Wave Propagation in Laminar and Turbulent Disks by Callum W. Fairbairn

“…We clearly elucidate the theory from first principles, wherein the general Fourier–Hermite formalism can be simplified to a reduced framework which extends previous results toward locally isothermal disks. …”
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Some Novel Estimates of Integral Inequalities for a Generalized Class of Harmonical Convex Mappings by Means of Center-Radius Order Relation by Waqar Afzal, Khurram Shabbir, Mubashar Arshad, Joshua Kiddy K. Asamoah, Ahmed M. Galal

“…Our first step was to establish the Hermite−Hadamard H.H inequality and then to establish Jensen inequality using these notions. …”
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Bayesian Approach for Sequential Probabilistic Back Analysis of Uncertain Geomechanical Parameters and Reliability Updating of Tunneling-Induced Ground Settlements by Cong Li, Shui-Hua Jiang, Jinhui Li, Jinsong Huang

“…Within the framework of the proposed approach, a complex Bayesian back analysis problem is transformed into an equivalent structural reliability problem based on subset simulation. Hermite polynomial chaos expansion-based surrogate models are constructed to improve the computational efficiency of probabilistic back analysis. …”
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A New Spectral Mittag-Leffler Weighted Method to Solve Variable Order Fractional Differential Equations by Abdulrazzaq T. Abed, Ekhlass S. Al-Rawi

“…In addition, the effect of polynomials (such as Chebyshev, Jacobi, Legendre, Gegenbauer, Hermite, Taylor, Mittag-Leffler, and Bernstein polynomials) on the accuracy of the approximate solution is studied, and their effect was found to be minimal in most tests. …”
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Irreversibility and Sensitivity analysis of MHD squeezing various shaped nanofluid flow between parallel permeable disks by Abdul Awal, Md. Sarwar Alam

“…Then these non-dimension equations are solved via power series and the solutions are analyzed using Hermite- Padé approximation scheme. The effects of the physical flow parameters on entropy generation rate and Bejan number are inspected graphically. …”
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Omnidirectional Motion Trajectory Tracking Control Method for AUVs by Jiangpeng XU, Junlei WANG, Yi TANG

“…Using the Bluefin series AUV as an example, the paper designed and modified the omnidirectional motion structure and developed a trajectory generation algorithm based on the Hermite algorithm, a trajectory guidance algorithm based on the scaling factor, and a sailing-heading hybrid control algorithm. …”
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An All-Time-Domain Moving Object Data Model, Location Updating Strategy, and Position Estimation by Qunyong Wu, Junyi Huang, Jianping Luo, Jianjun Yang

“…Thirdly, we presented several different position estimation methods to estimate the historical location and future location. The cubic Hermite interpolation function is used to estimate the historical location. …”
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