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1

Belov, Aleksandr A., Maxim A. Tintul, and Valentin S. Khokhlachev. "Quadratures with super power convergence." Discrete and Continuous Models and Applied Computational Science 31, no. 2 (2023): 128–38. http://dx.doi.org/10.22363/2658-4670-2023-31-2-128-138.

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The calculation of quadratures arises in many physical and technical applications. The replacement of integration variables is proposed, which dramatically increases the accuracy of the formula of averages. For infinitely smooth integrand functions, the convergence law becomes super power. It is significantly faster than the power law and is close to exponential one. For integrals with bounded smoothness, power convergence is realized with the maximum achievable order of accuracy.
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2

Leng, Yu, Xiaochuan Tian, and John T. Foster. "Super-convergence of reproducing kernel approximation." Computer Methods in Applied Mechanics and Engineering 352 (August 2019): 488–507. http://dx.doi.org/10.1016/j.cma.2019.04.038.

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3

Belov, A. A., and M. A. Tintul. "MULTIDIMENSIONAL CUBATURES WITH SUPER-POWER CONVERGENCE." Доклады Российской академии наук. Математика, информатика, процессы управления 514, no. 1 (2023): 107–11. http://dx.doi.org/10.31857/s2686954323600118.

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In many applications, multidimensional integrals over the unit hypercube arise, which are calculated using Monte Carlo methods. The convergence of the best of them turns out to be quite slow. In this paper, fundamentally new cubatures with super-power convergence based on the improved Korobov grids and special variable substitution are proposed. A posteriori error estimates are constructed, which are practically indistinguishable from the actual accuracy. Examples of calculations illustrating the advantages of the proposed methods are given.
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4

Li, Angsheng, and Xi Yong. "Dynamics, morphogenesis and convergence of evolutionary quantum Prisoner's Dilemma games on networks." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2186 (2016): 20150280. http://dx.doi.org/10.1098/rspa.2015.0280.

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The authors proposed a quantum Prisoner's Dilemma (PD) game as a natural extension of the classic PD game to resolve the dilemma. Here, we establish a new Nash equilibrium principle of the game, propose the notion of convergence and discover the convergence and phase-transition phenomena of the evolutionary games on networks. We investigate the many-body extension of the game or evolutionary games in networks. For homogeneous networks, we show that entanglement guarantees a quick convergence of super cooperation, that there is a phase transition from the convergence of defection to the converg
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5

Prashanth, M., D. K. Gupta, and S. Singh. "Semilocal convergence for the Super-Halley’s method." Numerical Analysis and Applications 7, no. 1 (2014): 70–84. http://dx.doi.org/10.1134/s1995423914010078.

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6

Ozawa, Kazufumi. "Super-quadratic convergence in Aitken Δ2 process". Japan Journal of Industrial and Applied Mathematics 21, № 3 (2004): 289–98. http://dx.doi.org/10.1007/bf03167584.

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7

Das, Suddhasattwa, and James A. Yorke. "Super convergence of ergodic averages for quasiperiodic orbits." Nonlinearity 31, no. 2 (2018): 491–501. http://dx.doi.org/10.1088/1361-6544/aa99a0.

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8

Wu, Jinming, and Xiaolei Zhang. "Integro sextic spline interpolation and its super convergence." Applied Mathematics and Computation 219, no. 12 (2013): 6431–36. http://dx.doi.org/10.1016/j.amc.2012.12.062.

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9

Pomian, Raluca Anamaria. "General convergence of the methods from Chebyshev-Halley family." Journal of Numerical Analysis and Approximation Theory 37, no. 1 (2008): 87–97. http://dx.doi.org/10.33993/jnaat371-879.

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In this paper we study the Chebyshev-Halley family (which contains, as particular cases, the Chebyshev method, Halley method, super-Halley method and the C-method). For Chebyshev and super-Halley methods we give a global theorem of convergence. In the end of the paper we study the basins of attraction of the roots of a polynomial with real coefficients. They are obtained when we apply to that polynomial the methods from the Chebyshev-Halley family methods.
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10

Guo, Ye Cai, Wei Huan, Li Fu Wu, and Ke Cheng Leng. "Super Exponential Iteration Adaptive Minimum Entropy Blind Equalization Algorithm Based on Quantum Artificial Fish Swarm Optimization." Advanced Materials Research 779-780 (September 2013): 1793–96. http://dx.doi.org/10.4028/www.scientific.net/amr.779-780.1793.

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In order to improve equalization performance of higher-order non-constant modulus signals, adaptive minimum entropy super-exponential iteration blind equalization algorithm based on quantum artificial fish swarm optimization was proposed. The proposed algorithm can accelerate convergence rate via super-exponential iteration algorithm and decease mean square error (MSE) further via quantum artificial fish swarm algorithm. The simulation results demonstrate that the proposed algorithm has different equalization performance to the different modulation systems and can speed up convergence rate and
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11

Chen, Dechao, Shuai Li, and Qing Wu. "Rejecting Chaotic Disturbances Using a Super-Exponential-Zeroing Neurodynamic Approach for Synchronization of Chaotic Sensor Systems." Sensors 19, no. 1 (2018): 74. http://dx.doi.org/10.3390/s19010074.

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Due to the existence of time-varying chaotic disturbances in complex applications, the chaotic synchronization of sensor systems becomes a tough issue in industry electronics fields. To accelerate the synchronization process of chaotic sensor systems, this paper proposes a super-exponential-zeroing neurodynamic (SEZN) approach and its associated controller. Unlike the conventional zeroing neurodynamic (CZN) approach with exponential convergence property, the controller designed by the proposed SEZN approach inherently possesses the advantage of super-exponential convergence property, which mak
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12

Zhang, Wenhui, Peixin Ye, Shuo Xing, and Xu Xu. "Optimality of the Approximation and Learning by the Rescaled Pure Super Greedy Algorithms." Axioms 11, no. 9 (2022): 437. http://dx.doi.org/10.3390/axioms11090437.

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We propose the Weak Rescaled Pure Super Greedy Algorithm (WRPSGA) for approximation with respect to a dictionary D in Hilbert space. The WRPSGA is simpler than some popular greedy algorithms. We show that the convergence rate of the RPSGA on the closure of the convex hull of the μ-coherent dictionary D is optimal. Then, we design the Rescaled Pure Super Greedy Learning Algorithm (RPSGLA) for kernel-based supervised learning. We prove that the convergence rate of the RPSGLA can be arbitrarily close to the best rate O(m−1) under some mild assumptions.
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13

Argyros, Ioannis K., та Santhosh George. "Extending the Applicability of the Super-Halley-Like Method Using ω-Continuous Derivatives and Restricted Convergence Domains". Annales Mathematicae Silesianae 33, № 1 (2019): 21–40. http://dx.doi.org/10.2478/amsil-2018-0008.

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AbstractWe present a local convergence analysis of the super-Halley-like method in order to approximate a locally unique solution of an equation in a Banach space setting. The convergence analysis in earlier studies was based on hypotheses reaching up to the third derivative of the operator. In the present study we expand the applicability of the super-Halley-like method by using hypotheses up to the second derivative. We also provide: a computable error on the distances involved and a uniqueness result based on Lipschitz constants. Numerical examples are also presented in this study.
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14

Hu, Mingyuan, Hyeongki Ahn, Yoonuh Chung, and Kwanho You. "Sensorless Speed Control for SPMSM Using a Nonlinear Observer and Enhanced Super-Twisting ADRC." Mathematics 11, no. 15 (2023): 3382. http://dx.doi.org/10.3390/math11153382.

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In this article, a novel strategy called enhanced super-twisting active disturbance rejection control (ESTADRC), as well as a nonlinear observer (NOB), is used to implement a speed control scheme for permanent-magnet synchronous motors with intricate internal dynamics, and it exhibits nonlinearity and variable parameters. A new reaching law is formulated within a super-twisting sliding mode control (STSMC) framework, and a comprehensive procedure for finite convergence time analysis is provided. The convergence region of the state variables of the system is obtained using a Lyapunov function.
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15

Zhang, Qiming, Xiangping Li, and Min Gu. "Super-resolution focal area induced by super-convergence in a photonic crystal immersion lens." Journal of Optics 15, no. 7 (2013): 075102. http://dx.doi.org/10.1088/2040-8978/15/7/075102.

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16

Krupa, G. "Convergence of multivalued mils and pramarts in spaces without the RNP." Studia Scientiarum Mathematicarum Hungarica 40, no. 1-2 (2003): 13–31. http://dx.doi.org/10.1556/sscmath.40.2003.1-2.2.

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New convergence results for multivalued martingales in the limit and super- and subpramarts whose values are weakly or strongly compact convex subsets of a separable Banach space are presented. In contrast to the previous results the underlying Banach space does not have the Radon-Nikodym property. A connection between multivalued and single-valued subpramarts is established. New onvergence results for single-valued mils and super- and subpramarts follow from the multivalued results presented here.
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17

Wang, Xiuhua, Dongyang Shi, and Jisheng Kou. "Convergence analysis for a family of improved super-Halley methods under general convergence condition." Numerical Algorithms 65, no. 2 (2013): 339–54. http://dx.doi.org/10.1007/s11075-013-9708-9.

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18

Ivanov, Stoil I. "General Local Convergence Theorems about the Picard Iteration in Arbitrary Normed Fields with Applications to Super–Halley Method for Multiple Polynomial Zeros." Mathematics 8, no. 9 (2020): 1599. http://dx.doi.org/10.3390/math8091599.

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In this paper, we prove two general convergence theorems with error estimates that give sufficient conditions to guarantee the local convergence of the Picard iteration in arbitrary normed fields. Thus, we provide a unified approach for investigating the local convergence of Picard-type iterative methods for simple and multiple roots of nonlinear equations. As an application, we prove two new convergence theorems with a priori and a posteriori error estimates about the Super-Halley method for multiple polynomial zeros.
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19

Yan, Yongcan, Jian Li, and Yi Xu. "Research on Industry Difference and Convergence of Green Innovation Efficiency of Manufacturing Industry in China Based on Super-SBM and Convergence Models." Mathematical Problems in Engineering 2021 (November 26, 2021): 1–12. http://dx.doi.org/10.1155/2021/4013468.

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To accurately grasp the current situation of green innovation efficiency in the manufacturing industry in China, this paper analyzes the differences and convergence characteristics of green innovation efficiency in various industries. Based on the panel data of 29 manufacturing industries in China from 2010 to 2019, the super-slack-based measure (Super-SBM) model measures the green innovation efficiency of manufacturing industries whose evolution characteristics are classified and analyzed from the perspective of technical demand. The Dagum Gini coefficient decomposition method indicates the s
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20

Oymak, Samet. "Provable Super-Convergence With a Large Cyclical Learning Rate." IEEE Signal Processing Letters 28 (2021): 1645–49. http://dx.doi.org/10.1109/lsp.2021.3101131.

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21

Dong, Xinyang, Dominika Zgid, Emanuel Gull, and Hugo U. R. Strand. "Legendre-spectral Dyson equation solver with super-exponential convergence." Journal of Chemical Physics 152, no. 13 (2020): 134107. http://dx.doi.org/10.1063/5.0003145.

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22

Li, Xiao Qin, Kang Ling Fang, and Can Jin. "Super-Resolution Restoration for Image Based on Entropy Constraint and Projection onto Convex Set." Advanced Materials Research 468-471 (February 2012): 1041–48. http://dx.doi.org/10.4028/www.scientific.net/amr.468-471.1041.

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Super-resolution reconstruction for image breaks through the resolution limit of imaging systems without hardware change. The algorithm of projection onto convex set (POCS) is a typical super-resolution reconstruction algorithm in spatial domain. The classical algorithm of POCS lacks the overall constraint for the image, and the convergence rate for iteration is incontrollable. A new super-resolution restoration algorithm for image based on entropy constraint and POCS is proposed in this paper, and experiments with optical and millimeter wave images demonstrate that the new algorithm is effect
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23

Feng, Shan, Yawen Kong, Shuguang Liu, and Hongwei Zhou. "Spatiotemporal Pattern and Convergence Test of Energy Eco-Efficiency in the Yellow River Basin." International Journal of Environmental Research and Public Health 20, no. 3 (2023): 1888. http://dx.doi.org/10.3390/ijerph20031888.

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Examining the convergence characteristics of energy eco-efficiency in the Yellow River Basin (YRB) is of great significance for the sustainable development of China. It fulfills the international commitment to carbon peak and carbon neutrality. Based on the Super-EBM model and ML index, this paper measures the energy eco-efficiency of 60 cities in the YRB during 2006–2018, and then spatial and temporal patterns are both analyzed before the final investigation of the convergence in the YRB. The results show the following: (1) From 2006 to 2018, the energy eco-efficiency of the YRB showed a sign
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24

Halbe, Omkar, and Manfred Hajek. "A Continuous Multivariable Finite-Time Super-Twisting Attitude and Rate Controller for Improved Rotorcraft Handling." Aerospace 9, no. 1 (2021): 6. http://dx.doi.org/10.3390/aerospace9010006.

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This paper synthesizes a continuous, multivariable, finite-time-convergent, super-twisting attitude and rate controller for rotorcraft with the objective of providing desired handling qualities and robustness characteristics. A sliding manifold is defined in the system state space to represent ideal attitude and rate command response dynamics of relative degree one with respect to the command input. Subsequently, robust command tracking is achieved via the synthesis of a multivariable super-twisting flight controller, which renders the plant states convergent on to the defined sliding manifold
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25

Wang, Yong-Kun, Na Lu, and Peng Wang. "Spatial-temporal differences and convergence analysis of residential building carbon emission efficiency in China." PLOS ONE 19, no. 9 (2024): e0311097. http://dx.doi.org/10.1371/journal.pone.0311097.

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Data indicate that carbon dioxide emissions from residential buildings in China constitute 60% of the country’s total, making carbon reduction efforts in residential construction crucial for achieving dual carbon goals. From the perspective of eight major economic regions, this paper selects energy consumption, per capita residential area, and residential population as input indicators, per capita disposable income as the output indicator, and carbon dioxide emissions as the undesired output indicator. It employs the super-efficiency model based on the directional distance (super-DDF) function
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26

Hou, Lei, Pan Sun, Jun Jie Zhao, Lin Qiu, and Han Lin Li. "Evaluation of Coupled Rheological Equations." Applied Mechanics and Materials 433-435 (October 2013): 1943–46. http://dx.doi.org/10.4028/www.scientific.net/amm.433-435.1943.

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Apart from the convergence of the first-order hyperbolic partial differential equations in rheological flow,this paper estimate the general behavior of the solution. By analyzing the coupled partial differential equations on a macroscopic scale the solution of free surface flow has been obtained. Its asymptotic estimate of the solution and super convergence are proposed in the internal boundary layer.
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27

Li, Xiaojing, Jianwei Ma, Jiwei Gao, and Shaofei Zang. "Adaptive Super-Twisting Cooperative Guidance Law with Fixed-Time Convergence." International Journal of Aerospace Engineering 2022 (August 27, 2022): 1–17. http://dx.doi.org/10.1155/2022/8650592.

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For the guidance problem of multiple missiles cooperatively intercepting a maneuvering target, fixed-time cooperative guidance law is proposed with impact angle constraints. First, fixed-time consensus, integral sliding mode technique, and adaptive super-twisting algorithm are implemented to construct cooperative guidance law along the line-of-sight (LOS) direction. Second, based on fixed-time convergence observer and terminal sliding mode control, one fixed-time guidance law along the normal direction of LOS is designed to ensure that the missiles attack the target with expected angles. Final
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28

Utkin, Vadim. "On Convergence Time and Disturbance Rejection of Super-Twisting Control." IEEE Transactions on Automatic Control 58, no. 8 (2013): 2013–17. http://dx.doi.org/10.1109/tac.2013.2251812.

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29

Fleischmann, Klaus, Achim Klenke, and Jie Xiong. "Pathwise Convergence of a Rescaled Super-Brownian Catalyst Reactant Process." Journal of Theoretical Probability 19, no. 3 (2006): 557–88. http://dx.doi.org/10.1007/s10959-006-0025-2.

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30

Zhang, Mei. "On the weak convergence of super-Brownian motion with immigration." Science in China Series A: Mathematics 52, no. 9 (2009): 1875–86. http://dx.doi.org/10.1007/s11425-009-0110-y.

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31

Chen, S. X., T. S. Low, Y. A. Mah, and M. A. Jabbar. "Super convergence theory and its application to precision force calculation." IEEE Transactions on Magnetics 32, no. 5 (1996): 4275–77. http://dx.doi.org/10.1109/20.538841.

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32

Palatucci, Giampiero, та Yannick Sire. "Γ-Convergence of some super quadratic functionals with singular weights". Mathematische Zeitschrift 266, № 3 (2009): 533–60. http://dx.doi.org/10.1007/s00209-009-0584-x.

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33

Khan, Haider A. "The Future of Bangladesh: ICT Strategy and Technological Super-Convergence." Journal of Bangladesh Studies 18, no. 1-2 (2016): 1–12. https://doi.org/10.1163/27715086-0180102002.

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The main purpose of this paper is to find the ICT sector strategy as an integral part of an optimal strategy for Bangladesh to become first a middle income country by 2030 and then a high income country by 2041. Formally, I argue for a Social Capabilities Enhancing National Innovation System (SCENIS) for Bangladesh to be built in the next few decades. The transition---indeed transformation--- can be realized through a process of rapid inclusive growth leading to elimination of poverty while increasing the productive capacity and building an innovating learning economy. Since ICT globally is a
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34

Xing, Jinhui, Fangxing Yang, Wei Zhao, and Changcheng Hu. "A study of fast implementation methods for radar super-resolution imaging." Advances in Engineering Technology Research 14, no. 1 (2025): 279. https://doi.org/10.56028/aetr.14.1.279.2025.

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In this paper, the radar forward-looking imaging are firstly established spatial geometry model and echo model and then the signal processing method is adopted to achieve azimuth super-resolution, and the regularization based inverse convolution method is used to construct the imaging objective function equation. In solving the regularization equation, an adaptive thresholding shrinkage algorithm with good convergence and noise resistance is used. In addition, an adaptive iterative extrapolation algorithm has been studied, which can effectively improve the convergence speed of the adaptive thr
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35

Siricharuanun, P., and C. Pukdeboon. "Finite-Time Synchronization for Uncertain Master-Slave Chaotic System via Adaptive Super Twisting Algorithm." Journal of Nonlinear Dynamics 2016 (July 3, 2016): 1–9. http://dx.doi.org/10.1155/2016/3512917.

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A second-order sliding mode control for chaotic synchronization with bounded disturbance is studied. A robust finite-time controller is designed based on super twisting algorithm which is a popular second-order sliding mode control technique. The proposed controller is designed by combining an adaptive law with super twisting algorithm. New results based on adaptive super twisting control for the synchronization of identical Qi three-dimensional four-wing chaotic system are presented. The finite-time convergence of synchronization is ensured by using Lyapunov stability theory. The simulations
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36

Yu, Yuncai, Xinsheng Liu, Ling Liu, and Weisi Liu. "On adaptivity of wavelet thresholding estimators with negatively super-additive dependent noise." Mathematica Slovaca 69, no. 6 (2019): 1485–500. http://dx.doi.org/10.1515/ms-2017-0324.

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Abstract This paper considers the nonparametric regression model with negatively super-additive dependent (NSD) noise and investigates the convergence rates of thresholding estimators. It is shown that the term-by-term thresholding estimator achieves nearly optimal and the block thresholding estimator attains optimal (or nearly optimal) convergence rates over Besov spaces. Additionally, some numerical simulations are implemented to substantiate the validity and adaptivity of the thresholding estimators with the presence of NSD noise.
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37

Yang, Fang, Kuanqiao Zhang, and Lei Yu. "Adaptive Super-Twisting Algorithm-Based Nonsingular Terminal Sliding Mode Guidance Law." Journal of Control Science and Engineering 2020 (July 4, 2020): 1–11. http://dx.doi.org/10.1155/2020/1058347.

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A nonsingular fast terminal sliding mode guidance law with an impact angle constraint is proposed to solve the problem of missile guidance accuracy and impact angle constraint for maneuvering targets. Aiming at the singularity problem of the terminal sliding mode, a fast terminal sliding mode surface with finite-time convergence and impact angle constraint is designed based on fixed-time convergence and piecewise sliding mode theory. To weaken chattering and suppress interference, a second-order sliding mode supertwisting algorithm is improved. By designing the parameter adaptive law, an adapt
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38

Liu, Rui Hua, Li Yun Su, and Fang Li. "Image Reconstruction Based on the TV and Mumford-Shah-Euler Model." Advanced Materials Research 186 (January 2011): 198–202. http://dx.doi.org/10.4028/www.scientific.net/amr.186.198.

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In this paper, we firstly analyze some previous super-resolution models based on the TV model. Secondly, we propose two novel super-resolution models. One combines the TV model with the Mumford-Shah model, the other combines the TV model with the Mumford-Shah-Euler image model. Finally, we show some numerical experiments of our models based on convergence approximation. The results show that the TV-MSE model gives a well effect.
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39

Jing, Chenghu, Hui Zhang, Yafeng Liu, and Jing Zhang. "Adaptive Super-Twisting Sliding Mode Control for Robot Manipulators with Input Saturation." Sensors 24, no. 9 (2024): 2783. http://dx.doi.org/10.3390/s24092783.

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The paper investigates a modified adaptive super-twisting sliding mode control (ASTSMC) for robotic manipulators with input saturation. To avoid singular perturbation while increasing the convergence rate, a modified sliding mode surface (SMS) is developed in this method. Using the proposed SMS, an ASTSMC is developed for robot manipulators, which not only achieves strong robustness but also ensures finite-time convergence. The boundary of lumped uncertainties cannot be easily obtained. A modified adaptive law is developed such that the boundaries of time-varying disturbance and its derivative
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40

Mountford, T. S. "A Complete Convergence Theorem for Attractive Reversible Nearest Particle Systems." Canadian Journal of Mathematics 49, no. 2 (1997): 321–37. http://dx.doi.org/10.4153/cjm-1997-016-7.

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AbstractIn this paper we prove a complete convergence theorem for attractive, reversible, super-critical nearest particle systems satisfying a natural regularity condition. In particular this implies that under these conditions there exist precisely two extremal invariant measures. The result we prove is relevant to question seven of Liggett (1985), Chapter VII.
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41

Ivanov, Stoil I. "Unified Convergence Analysis of Chebyshev–Halley Methods for Multiple Polynomial Zeros." Mathematics 10, no. 1 (2022): 135. http://dx.doi.org/10.3390/math10010135.

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In this paper, we establish two local convergence theorems that provide initial conditions and error estimates to guarantee the Q-convergence of an extended version of Chebyshev–Halley family of iterative methods for multiple polynomial zeros due to Osada (J. Comput. Appl. Math. 2008, 216, 585–599). Our results unify and complement earlier local convergence results about Halley, Chebyshev and Super–Halley methods for multiple polynomial zeros. To the best of our knowledge, the results about the Osada’s method for multiple polynomial zeros are the first of their kind in the literature. Moreover
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42

Song, Pan. "A Topology Structure Control Algorithm of Wireless Sensor Network by Using Small World Model." Applied Mechanics and Materials 325-326 (June 2013): 1023–27. http://dx.doi.org/10.4028/www.scientific.net/amm.325-326.1023.

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The small world network has higher convergence coefficient and shorter average path length. This paper introduce small world theory to the wireless sensor network, and propose a topology control algorithm of wireless sensor network based on NW small world network model. The design of algorithm is hierarchical, which include formation of super node ring, common node join clusters, maintenance the load balance of common node in cluster, and maintenance the super node ring when super node is failure. The experiment shows that the topology control algorithm has the characteristics of small world n
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43

Hou, Lei, Jun Jie Zhao, and Han Ling Li. "Finite Element Convergence Analysis of Two-Scale Non-Newtonian Flow Problems." Advanced Materials Research 718-720 (July 2013): 1723–28. http://dx.doi.org/10.4028/www.scientific.net/amr.718-720.1723.

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The convergence of the first-order hyperbolic partial differential equations in non-Newton fluid is analyzed. This paper uses coupled partial differential equations (Cauchy fluid equations, P-T/T stress equation) on a macroscopic scale to simulate the free surface elements. It generates watershed by excessive tensile elements. The semi-discrete finite element method is used to solve these equations. These coupled nonlinear equations are approximated by linear equations. Its super convergence is proposed.
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44

Zhang, Ying, Bo Qin Liu, and Han Rong Chen. "Super-High Dimension Complex Functions Optimization Using Adaptive Particle Swarm Optimizer." Advanced Materials Research 532-533 (June 2012): 1830–35. http://dx.doi.org/10.4028/www.scientific.net/amr.532-533.1830.

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Due to the existence of large numbers of local and global optima of super-high dimension complex functions, general Particle Swarm Optimizer (PSO) methods are slow speed on convergence and easy to be trapped in local optima. In this paper, an Adaptive Particle Swarm Optimizer(APSO) is proposed, which employ an adaptive inertia factor and dynamic changes strategy of search space and velocity in each cycle to plan large-scale space global search and refined local search as a whole according to the fitness change of swarm in optimization process of the functions, and to quicken convergence speed,
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45

Santugini-Repiquet, Kévin. "Modelization of a split in a ferromagnetic body by an equivalent boundary condition: Part II." Asymptotic Analysis 47, no. 3-4 (2006): 261–90. https://doi.org/10.3233/asy-2006-749.

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We continue the study of equivalent boundary conditions in ferromagnetic domains crossed by a thin split. In this second part, we add nonhomogeneous boundary conditions arising from interactions such as surface anisotropy and super-exchange. We expand the problem up to the first order and establish equivalent boundary conditions in presence of surface anisotropy and super-exchange. In particular, the well-posedness of the expansion problem with equivalent boundary condition and the convergence in some meaning of the expansion are proven.
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46

Zhang, Tong, Pengzhan Huang, and Shunwei Xu. "ANALYSIS OF STABILIZED FINITE VOLUME METHOD FOR POISSON EQUATION." Mathematical Modelling and Analysis 18, no. 3 (2013): 415–31. http://dx.doi.org/10.3846/13926292.2013.805172.

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In this work, we systematically analyze a stabilized finite volume method for the Poisson equation. On stating the convergence of this method, optimal error estimates in different norms are obtained by establishing the adequate connections between the finite element and finite volume methods. Furthermore, some super-convergence results are established by using L 2 -projection method on a coarse mesh based on some regularity assumptions for Poisson equation. Finally, some numerical experiments are presented to confirm the theoretical findings.
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47

Huang, Wan-Chun. "The Voice of a New China: Democratic Behaviours in the Chinese Reality Shows Super Girl and Happy Girls." Asiascape: Digital Asia 5, no. 3 (2018): 225–53. http://dx.doi.org/10.1163/22142312-12340093.

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AbstractOne of China’s reality shows,Super Girl, showed too much of a ‘democratic’ idea for the taste of the Chinese Communist Party, which suspended it in 2006. Nevertheless,Super Girlsucceeded in introducing a participatory audience and welcoming a new form of ‘affective economy’ that helped Chinese audiences actively engage in a given show. Today’s new media technologies and their convergence empower the participatory audience and spur democratic ideas in Chinese society. Because of these empowered audiences, China’s reality shows have become an influential platform. I examine four aspects
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48

Yun, Qinsheng, Xiangjun Wang, Chen Yao, Wei Zhuang, Menglin Shao, and Haibo Gao. "A Second-Order Sliding Mode Voltage Controller with Fast Convergence for a Permanent Magnet Synchronous Generator System." Processes 12, no. 1 (2023): 71. http://dx.doi.org/10.3390/pr12010071.

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This paper studies an improved super-twisting sliding mode controller (IST-SMC) for the permanent magnet synchronous generator (PMSG) voltage loop to improve the anti-disturbance capability of the system. Compared to conventional voltage controllers, the control algorithm provides advantages in terms of system resistance to load disturbances. Conventional voltage controllers have significant voltage fluctuations and long recovery times during sudden load changes. To solve this problem, a voltage loop controller based on a super-twisting sliding mode (ST-SMC) is designed to enhance the immunity
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49

Guo, Liwei, Weidong Liu, Le Li, Jingming Xu, Kang Zhang, and Yuang Zhang. "Fast Finite-Time Super-Twisting Sliding Mode Control with an Extended State Higher-Order Sliding Mode Observer for UUV Trajectory Tracking." Drones 8, no. 2 (2024): 41. http://dx.doi.org/10.3390/drones8020041.

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This paper proposes a trajectory tracking control scheme consisting of a fast finite-time super-twisting sliding mode control (FSTSMC) approach and an extended state higher-order sliding mode observer (ESHSMO) for unmanned underwater vehicles (UUVs) with external disturbances and model uncertainties. Firstly, an extended state higher-order sliding mode observer with the finite-time convergence is designed based on the higher-order sliding mode technique and the extended state observer technique. Next, on the basis of disturbances and model uncertainties observation, a fast finite-time super-tw
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Lee, Byungjoon, Jeongho Kim, and Chohong Min. "Super-convergence analysis on two symmetric Poisson solvers in octree grids." Journal of Computational Physics 464 (September 2022): 111324. http://dx.doi.org/10.1016/j.jcp.2022.111324.

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