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Synchronization Control Based on Sequential Convergence 认领 引用
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作者 Huan Li Shuangsi Xue +1 位作者 Hui Cao Dongyu Li 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2026年第3期743-745,共3页
Dear Editor,This letter focuses on the synchronization of system state components under the constraint of convergence sequence.Firstly,we introduce the predefined-sequence-synchronized control problem,a unique synchro... Dear Editor,This letter focuses on the synchronization of system state components under the constraint of convergence sequence.Firstly,we introduce the predefined-sequence-synchronized control problem,a unique synchronization challenge where all state components must be synchronized to the origin following a predefined convergence sequence.A controller is proposed to solve the predefined-sequencesynchronized control problem in first-order affine systems,and the proposed controller can regulate the convergence sequence of state components by adjusting their ratios. 展开更多
关键词 system state components regulate convergence first order affine systems controller state components synchronization predefined sequence synchronization convergence sequence
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Agricultural carbon emission intensity(ACEI)in China from 1997 to 2022:Spatiotemporal differences,convergence,and its influence factors 认领 引用
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作者 ZOU Lilin LI Shulin WANG Yongsheng 《Regional Sustainability》 CAS CSCD 2026年第4期1-19,共19页
Exploring the spatiotemporal differences and convergence mechanisms of agricultural carbon emissions in China can contribute to global agricultural carbon emission reduction.Taking 31 provinces, municipalities, and au... Exploring the spatiotemporal differences and convergence mechanisms of agricultural carbon emissions in China can contribute to global agricultural carbon emission reduction.Taking 31 provinces, municipalities, and autonomous regions of China (excluding Hong Kong, Macao, and Taiwan due to data unavailability) as the study area, this paper estimated the agricultural carbon emission intensity (ACEI) during 1997-2022 and analyzed its spatiotemporal characteristics, decomposed its regional differences by using the Dagum Gini coefficient, and explored its convergence mechanism by adopting the spatial β-convergence and the Spatial Durbin Model (SDM). The result showed that China's ACEI has shown a downward trend during 1997-2022,with an average annual reduction rate of 4.71%, and the inter-regional difference continued to widen, with the inter-regional difference of 66.17%. The absolute β-convergence speed was lower than the conditional β-convergence speed, indicating that regional heterogeneity in agricultural production significantly accelerates spatial convergence. This effect was particularly pronounced in the central region, where favorable agricultural conditions contribute to the fastest convergence rate. In this process, social support and environmental regulation,application and innovation of agricultural technologies, as well as agricultural structure and development potential in different regions (eastern, central, and western regions)exhibited distinct spatiotemporal effects. These findings suggest that the hierarchical spatial pattern of ACEI in China results from the interaction of multiple systems,including the environmental, social, economic, and governmental dimensions. 展开更多
关键词 Agricultural carbon emission intensity(ACEI) Dagum Gini coefficient Absolute and conditionalβ-convergence Spatial Durbin Model(SDM) Spatial convergence
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Learning Laws for Deep Convolutional Neural Networks With Guaranteed Convergence 认领 引用 被引量：1
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作者 Sitan Li Chien Chern Cheah 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2026年第1期170-185,共16页
Convolutional neural networks(CNNs)have shown remarkable success across numerous tasks such as image classification,yet the theoretical understanding of their convergence remains underdeveloped compared to their empir... Convolutional neural networks(CNNs)have shown remarkable success across numerous tasks such as image classification,yet the theoretical understanding of their convergence remains underdeveloped compared to their empirical achievements.In this paper,the first filter learning framework with convergence-guaranteed learning laws for end-to-end learning of deep CNNs is proposed.Novel update laws with convergence analysis are formulated based on the mathematical representation of each layer in convolutional neural networks.The proposed learning laws enable concurrent updates of weights across all layers of the deep convolutional neural network and the analysis shows that the training errors converge to certain bounds which are dependent on the approximation errors.Case studies are conducted on benchmark datasets and the results show that the proposed concurrent filter learning framework guarantees the convergence and offers more consistent and reliable results during training with a trade-off in performance compared to stochastic gradient descent methods.This framework represents a significant step towards enhancing the reliability and effectiveness of deep convolutional neural network by developing a theoretical analysis which allows practical implementation of the learning laws with automatic tuning of the learning rate to guarantee the convergence during training. 展开更多
关键词 Convergence convolution neural networks(CNNs) end-to-end learning online learning
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Revealing the potential geographic convergence of global water scarcity risk and virtual water trade inequality:A three-module integrated analytical approach 认领 引用
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作者 Qiting Zuo Zhizhuo Zhang +2 位作者 Junxia Ma Qingsong Wu Yihu Ji 《Geography and Sustainability》 CSCD 2026年第1期141-154,共14页
Unequal virtual water transfer may aggravate local water scarcity risk.However,the quantitative confirmation of a clear geographic convergence between virtual water transfer and water scarcity risk remains undetermine... Unequal virtual water transfer may aggravate local water scarcity risk.However,the quantitative confirmation of a clear geographic convergence between virtual water transfer and water scarcity risk remains undetermined.We present an analytical framework that reveals the spatial matching between global water scarcity risk and virtual water trade inequality.This framework integrates a three-dimensional water scarcity risk assessment,hybrid input-output analysis,pollution trade term construction,and geographic convergence identification.The framework is applied to 123 countries for long-term validation from 1991 to 2021.We show that despite global improvements in water efficiency and security,countries exceeding the maximum water vulnerability threshold have increased by 50%.South Asia is the largest net exporter of virtual water.Central Asia exhibits the most pronounced virtual water trade inequality.To achieve the same economic growth,Central Asia needs to pay several times the local water consumption costs of developed regions(15.9−83.6 times,2021).In the past 30 years,the average geographic convergence index exceeded 0.8.Countries facing severe water scarcity also exhibit pronounced inequalities in virtual water trade,indicating that a significant geographic convergence relationship exists.Effectively responding to this unsustainable relationship necessitates balancing both domestic resource risk management and global virtual water trade regulation. 展开更多
关键词 Water scarcity risk Virtual water transfer Global inequity Geographic convergence Water resources management
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Neurodynamic Optimization Approaches With Fixed-Time Convergence for Nash Equilibrium Seeking:Theory and Hardware Experiment 认领 引用
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作者 Xingxing Ju Xinsong Yang +2 位作者 Chuandong Li Gang Feng Daniel W.C.Ho 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2026年第3期704-714,共11页
The convergence rate is one of the key performance measures for Nash equilibrium(NE)seeking strategies.In this work,we present several novel fast decoupled/coupled time-varying neurodynamic optimization approaches wit... The convergence rate is one of the key performance measures for Nash equilibrium(NE)seeking strategies.In this work,we present several novel fast decoupled/coupled time-varying neurodynamic optimization approaches with fixed-time(FT)convergence to Nash equilibrium seeking in non-cooperative games.The dynamics trajectories are demonstrated to converge to the NE solution within a fixed time from any initial states.The proposed neurodynamic networks exhibit a faster convergence rate with appropriately selected time-varying coefficients.Additionally,the upper bounds of the convergence time of the proposed NE seeking networks are smaller than those for strategies with constant coefficients.The robustness of the proposed NE seeking neurodynamic approaches under bounded perturbations is further studied.The efficacy and practicality of the proposed NE seeking approaches are validated through simulations and field-programmable gate array(FPGA)experiments on duopoly market games. 展开更多
关键词 Fixed-time(FT)convergence hardware implementation Nash equilibrium(NE) neurodynamic optimization approaches
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Field-Validated 6G Convergence:A Broadcast-Cellular Fusion Architecture for Perception-Driven Media Delivery 认领 引用
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作者 Liu Zhixin Zhang Yu +4 位作者 Zhang Wenjun He Dazhi Xu Yin Lin Tao Li Haojiang 《China Communications》 SCIE EI CSCD 2026年第4期53-75,共23页
Escalating demands for HD linear streaming and seamless mobility challenge 6G cellular networks,where 5G-optimized resource strategies approach saturation.Broadcast networks,with inherent spectral efficiency and cover... Escalating demands for HD linear streaming and seamless mobility challenge 6G cellular networks,where 5G-optimized resource strategies approach saturation.Broadcast networks,with inherent spectral efficiency and coverage advantages,offer complementary capacity.We propose a converged cellular-broadcast architecture integrating a novel 6G broadcast core,enabling dynamic cellular traffic offloading to broadcast networks while enhancing broadcast reception via cellular links.A User-perception optimization framework jointly addressing broadcast directionality,resource allocation,and power control is established and solved by an efficient multi-stage heuristic algorithm.Simulations confirm that the proposed broadcast core significantly alleviates cellular congestion and improves broadcast resource utilization by comparing with existing literature.Field trials in campus environments demonstrate consistent operational efficacy,validating the architecture’s practical feasibility for 6G media delivery. 展开更多
关键词 6G core network convergence architecture resource management
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Biodiversity and biogeographic patterns of Nereididae(Annelida)across the Indo-Pacific Convergence Zone 认领 引用
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作者 Jieyang WENG Xuwen WU +2 位作者 Tiantian WANG Chenrui LI Linlin ZHANG 《Journal of Oceanology and Limnology》 SCIE CAS CSCD 2026年第1期322-339,共18页
Nereididae is a prolific annelid family widely distributed in the world oceans,especially in the Indo-Pacific Convergence Zone(IPCZ).However,its biogeographic pattern remains unexplored in IPCZ.To contribute to the un... Nereididae is a prolific annelid family widely distributed in the world oceans,especially in the Indo-Pacific Convergence Zone(IPCZ).However,its biogeographic pattern remains unexplored in IPCZ.To contribute to the understanding of biodiversity and biogeography of Nereididae in the IPCZ,we integrated historical data of species distributions with those of model-predicted ones to determine the biogeographic patterns of nereid species,from which we projected to its future distribution patterns for 2090-2100 under different climate scenarios(SSP1-1.9 and SSP5-8.5).Functional diversity within IPCZ was assessed using functional richness,functional evenness,and functional disparity.Divergence times within Nereididae were estimated using three DNA marker genes(COI,16S,and 18S rRNA),and a time tree was constructed based on a strict molecular clock model.The IPCZ was established as a key Nereididae biodiversity hotspot through distribution modelling of 256 species(44 genera),and temperature emerging as the predominant climatic driver of species distribution patterns.The distribution of species and functional diversity is notable for its non-centralized pattern.We projected that by the end of the century,areas of medium-to-high species richness will expand significantly under the low-emission SSP1-1.9 climate scenario.However,under the high-emission SSP5-8.5 scenario,the suitability of these regions significantly declines,posing an increasingly severe threat to biodiversity.In addition,by molecular clock analysis,we revealed that the evolutionary divergence of extant nereidid species occurred mainly in the Cretaceous and Jurassic,suggesting that paleogeographical and environmental events,such as oceanic anoxic events,might have played a pivotal role in shaping the evolutionary trajectory and ecological adaptations of marine annelids.These findings highlight the importance of considering both current biodiversity patterns and historical contexts in conservation planning,and provided insights into the potential factors on the biogeographic distribution and evolutionary processes of Nereididae. 展开更多
关键词 Nereididae species distribution model(SDM) climate change biodiversity Indo-Pacific Convergence Zone(IPCZ)
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Achieving just transition through convergence in the Carbon Efficiency of Social Progress 认领 引用
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作者 Mohamed Htitich Jaromír Harmáček Petra Krylova 《Geography and Sustainability》 CSCD 2026年第2期129-140,共12页
Improvements in societal well-being are associated with varying levels of environmental impact across countries,posing amajor challenge for global sustainability.As climate and development agendas converge,there is gr... Improvements in societal well-being are associated with varying levels of environmental impact across countries,posing amajor challenge for global sustainability.As climate and development agendas converge,there is growing urgency to understand how countries can advance social progress while minimizing environmental harm.This study is motivated by the hypothesis that a just transition-defined as the shift toward low-carbon societies in which no one is left behind-requires convergence in countries’ability to decouple social progress from carbon emissions.We introduce the Carbon Efficiency of Social Progress(CESP),a composite indicator constructed as the ratio of per capita carbon footprint to the Social Progress Index(SPI),and analyze its dynamics across 160 countries from 1990 to 2020.Using time-varying factor models based on the Phillips and Sul methodology,we assess whether countries converge in their CESP performance globally and within emission-based subgroups.Our results reveal distinct patterns.Low-emitting countries(below 1.9 tCO2e per capita)exhibit signs of rapid convergence(β=0.50;SE=0.047).High-emitting countries(above 10 tCO2e per capita)also converge,though at a much slower rate(β=0.13;SE=0.179).By contrast,middle-emitting countries(1.9-10 tCO2e per capita)exhibit significant divergence(β=−0.58;SE=0.120).These findings indicate that while low-emitting nations follow relatively promising paths,middle-and high-emitting countries face structural barriers that hinder progress toward just transition.Our study contributes to the literature on sustainability convergence and offers insights into how countries can align social development with climate goals under the global just transition framework. 展开更多
关键词 Social progress Just transition Carbon efficiency Convergence
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A CLASS OF NONLINEAR THERMO-PIEZOELECTRIC CONTACT PROBLEM WITH COULOMB'S LAW:EXISTENCE,UNIQUENESS AND CONVERGENCE 认领 引用
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作者 Jinxia CEN Abdelhadi HACHLAF 《Acta Mathematica Scientia》 SCIE CSCD 2026年第1期255-274,共20页
In this paper,we study a comprehensive mathematical model describing the problem of frictional contact between a nonlinear thermo-piezoelectric body and a rigid foundation with electrically conductive effect,in which ... In this paper,we study a comprehensive mathematical model describing the problem of frictional contact between a nonlinear thermo-piezoelectric body and a rigid foundation with electrically conductive effect,in which the contact conditions are described by a Signorini’s condition and Coulomb’s friction law.We derive the variational form of the contact problem which is a mixed system formulated by variational inequalities and equalities.Then,we use standard results on mixed problems and the Banach fixed-point theorem to prove the existence and uniqueness of the solution to the contact problem.Moreover,we demonstrate the convergence of a penalty method for this contact problem under consideration.Finally,finite element method is applied to the penalty contact problem and a strong convergence theorem is obtained. 展开更多
关键词 thermo-piezoelectric material Signorini’s condition mixed formulation existence and convergence penality method finite element method
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ON CONVERGENCE PROPERTIES FOR GENERALIZED SCHRODINGER OPERATORS ALONG TANGENTIAL CURVES 认领 引用
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作者 Huiju WANG Wenjuan LI 《Acta Mathematica Scientia》 SCIE CSCD 2026年第2期730-751,共22页
In this paper,we consider convergence properties for generalized Schrödinger operators along tangential curves in ℝn×ℝ with less smoothness comparing with Lipschitz condition.Firstly,we obtain sharp converge... In this paper,we consider convergence properties for generalized Schrödinger operators along tangential curves in ℝn×ℝ with less smoothness comparing with Lipschitz condition.Firstly,we obtain sharp convergence rate for generalized Schrödinger operators with polynomial growth along tangential curves in ℝn×ℝ,n≥1.Secondly,we get the convergence result along a family of restricted tangential curves in ℝ×ℝ.As a corollary,we obtain the sharp Lp-Schrödinger maximal estimates along tangential curves in ℝ×ℝ. 展开更多
关键词 convergence rate tangential curve maximal estimates
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Lyapunov-Based Stability and Numerical Convergence in a Nonlinear Cardiac Oscillator Model 认领 引用
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作者 Ifeoma Deborah Omoko Philip Danso +2 位作者 Clement Tayie Samuel Mensah Michael Fosu 《Journal of Applied Mathematics and Physics》 2026年第1期333-349,共17页
A precise understanding of cardiac rhythm dynamics is fundamental for uncovering the mechanisms underlying arrhythmias and for guiding effective therapeutic strategies.In this study,we introduce a nonlinear coupled os... A precise understanding of cardiac rhythm dynamics is fundamental for uncovering the mechanisms underlying arrhythmias and for guiding effective therapeutic strategies.In this study,we introduce a nonlinear coupled oscillator model that captures the physiological interactions among the sinoatrial(SA)node,atrioventricular(AV)node,and Purkinje fibers.The model is formulated as a system of second-order differential equations incorporating inertial effects,damping,inter-nodal coupling,and a nonlinear perturbation term to represent pathological deviations.To uphold analytical precision,global stability and boundedness are examined using Lyapunov’s direct method.In parallel,the numerical performance of the system is assessed through the classical fourth-order Runge-Kutta(RK4)scheme,with convergence and stability analyzed under varying parameter regimes.Simulation results demonstrate that adjustments in damping coefficients,coupling strengths,and nonlinear contributions can induce transitions between normal cardiac rhythms and arrhythmic states,including conduction blocks and chaotic oscillations.All computational experiments were performed in both MATLAB and Wolfram Mathematica to ensure reproducibility and cross-validation.By integrating physiological relevance with analytical precision,the proposed framework provides a robust foundation for investigating rhythm disorders,supporting predictive diagnostics,and informing the development of control-oriented therapeutic interventions. 展开更多
关键词 Coupled Oscillator Model Cardiac Rhythms Nonlinear Differential Equations Stability Ultimate Boundedness Lyapunov’s Direct Method Convergence Runge-Kutta Method
Dynamic Memristor-Inspired Zeroing Neural Network with Hybrid Activation for Finite-Time Convergence and Remote Sensing Image Fusion 认领 引用
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作者 Jiaqi He Mu Li 《Journal of Electronic Research and Application》 2026年第1期139-146,共8页
Solving time-varying nonlinear equations in real time is a significant challenge in modern computing.Dynamic Memristor-Inspired Zeroing Neural Networks(DMZNN)have shown strong performance in this field,but their conve... Solving time-varying nonlinear equations in real time is a significant challenge in modern computing.Dynamic Memristor-Inspired Zeroing Neural Networks(DMZNN)have shown strong performance in this field,but their convergence speed and robustness heavily rely on the design of the activation function.This paper proposes a novel hybrid activation function inspired by the nonlinear characteristics of memristors.By integrating cubic and sublinear terms,the proposed function facilitates multi-stage error decay,effectively addressing the slow convergence and poor noise resistance of traditional activation functions.Theoretical analysis shows that the DMZNN model,built upon this activation function,can converge in finite time.Robustness under parameter perturbations and additive noise is rigorously proven using Lyapunov theory.Simulation results demonstrate that the convergence speed of the DMZNN model is obviously faster than that of traditional ZNN models when solving second-order,third-order,and fourth-order time-varying nonlinear equations.Additionally,in the application of remote sensing image fusion,DMZNN outperforms traditional gradient-based methods in both fusion quality and processing speed,demonstrating its practical effectiveness and superiority in real-world applications. 展开更多
关键词 Zeroing neural network Finite-time convergence Memristor Time-varying nonlinear equations Remote sensing image fusion
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A Mixed Primal-Dual Dynamical System with Hessian-driven Damping and Its Convergence Analysis 认领 引用
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作者 Zhang Xiqiao Liu Lingling Ding Kewei 《数学理论与应用》 2026年第1期18-36,共19页
This paper proposes a mixed primal-dual dynamical system with constant damping and Hessian-driven damping for solving linearly constrained optimization problems.The system consists of a second-order ordinary different... This paper proposes a mixed primal-dual dynamical system with constant damping and Hessian-driven damping for solving linearly constrained optimization problems.The system consists of a second-order ordinary differential equation(ODE)with Hessian-driven damping for the primal variable and a first-order ordinary differential equation for the dual variable.By constructing an appropriate Lyapunov function,we analyze the convergence properties of the primal-dual gap,the feasibility measure and the objective function value,and establish exponential convergence rates under suitable scaling coefficients.Based on a time discretization of the continuous-time system,we derive an inertial primal-dual algorithm and validate the theoretical findings through numerical experiments,demonstrating the effectiveness and robustness of the proposed method. 展开更多
关键词 Mixed primal-dual dynamical system;Hessian-driven damping;Lyapunov function;Convergence rate;Linearly constrained optimization
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Impact of convergence rate and slab dip angle on island-arc magma generation 认领 引用
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作者 Yongliang BAI Wenzhao ZHANG +4 位作者 Shiguo WU Dongdong DONG Xuan MU Jiahao TIAN Yuanpeng LIU 《Journal of Oceanology and Limnology》 SCIE CAS CSCD 2025年第5期1425-1440,共16页
Island-arc magmatism is a crucial process in the Earth’s crustal growth.However,how the island-arc magma production rate(MPR)changes and the key influencing factors remains unclear.This study employs numerical models... Island-arc magmatism is a crucial process in the Earth’s crustal growth.However,how the island-arc magma production rate(MPR)changes and the key influencing factors remains unclear.This study employs numerical models to simulate island-arc growth,incorporating slab dehydration,mantle hydration and melting,and melt extraction.In addition,the impacts of convergence rate and slab dip angle on island-arc magma production were studied.Results suggest that,(1)MPR increases with higher convergence rates;high convergence rates enhance slab water transport efficiency and mantle wedge convection,thereby promoting water fraction and temperature in potential molten regions;(2)MPR initially rises and then falls as the slab dip angle varies from 30°to 45°,and to 60°.This variation is closely tied to water content in the wedge rather than mantle temperature.However,a higher slab dip promotes dehydration towards the potential-melting mantle wedge,which causes water to ascend to shallow areas and reduces the area of the potential molten region.Ultimately,a dip angle of 45°is optimal for retaining the most suitable water fraction and mantle wedge area,thereby maintaining the largest MPR;(3)convergence rate variation has a much larger influence on magma production rate than dip angle variation.When the convergence rate varies from 2 to 10 cm/a,the largest time-averaged MPR is 64.0 times the smallest one,whereas when the slab dip varies from 30°to 60°,the largest time-averaged MPR is only 3.5 times the smallest one.These findings align with numerous instances observed in modern-day subduction zones. 展开更多
关键词 island-arc magmatism production rate(MPR) convergence rate slab dip angle mantle wedge temperature hydration fraction mantle melting
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High-entropy strategy in designing La2Bi4Cu2O6Se4superlattice thermoelectric material with band convergence and low thermal conductivity 认领 引用
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作者 Peng Ai Shuwei Tang +6 位作者 Shulin Bai Da Wan Wanrong Guo Pengfei Zhang Tuo Zheng Hao Wang Tengyue Yan 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2025年第8期376-385,共10页
Designing novel van der Waals layered materials with low thermal conductivity and large power factor is important for the development of layered thermoelectric materials.Therefore,the novel van der Waals intercalated ... Designing novel van der Waals layered materials with low thermal conductivity and large power factor is important for the development of layered thermoelectric materials.Therefore,the novel van der Waals intercalated compound La2Bi4Cu2O6Se4,which is constructed by alternately stacking LaCuSeO and Bi2O2Se units along the c-axis in a 1:2 ratio,has designed for thermoelectric materials.The unique intercalated strategy leads to the four-band convergence at the valence band maximum,and the combination of multiple heavy band and light band,which significantly enhances the p-type doping power factor.The lattice thermal conductivities in La2Bi4Cu2O6Se4and LaCuSeO compounds are accurately calculated by considering the coherence contributions of the anharmonic phonon reformulations and the off-diagonal term of the heat flux operator.The weak bond property of the Cu d-Se p bonding causes phonon softening,reducing the lattice thermal conductivity.The intercalated Bi atom has stereochemically active lone-pair electrons,which causes acoustic-optical coupling and produces strong fourth acoustic-optical phonon scattering,suppressing low-frequency phonon transport.The carrier relaxation time is rationalized by considering multiple carrier scattering mechanisms.The p-type doping La2Bi4Cu2O6Se4achieves an average ZT of 2.3 at 700 K,and an optimal ZT of 2.7 along the in-plane direction.Our current work not only reveals the origin of the strong phonon scattering and large power factor of La2Bi4Cu2O6Se4compound,but also provides theoretical guidance for the design of La-based layered oxides for thermoelectric applications. 展开更多
关键词 Superlattice material High-entropy strategy Band convergence Lone-pair electrons Acoustic-optical(A-O)phonon scattering
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A variationally consistent nodal integration for cubic serendipity finite elements with optimal convergence in explicit transient heat conduction analysis 认领 引用
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作者 Songyang Hou Zhiwei Lin +1 位作者 Zhenyu Wu Dongdong Wang 《Theoretical & Applied Mechanics Letters》 EI CAS CSCD 2025年第6期597-609,共13页
The 13-node quadrilateral and 39-node hexahedral cubic serendipity elements produce nodally integrated positive-definite lumped heat capacity matrices in higher-order finite element analysis.However,these elements dis... The 13-node quadrilateral and 39-node hexahedral cubic serendipity elements produce nodally integrated positive-definite lumped heat capacity matrices in higher-order finite element analysis.However,these elements display severe convergence deterioration in explicit transient heat conduction analysis with lumped heat ca-pacity matrices.This convergence decay is due to the violation of variational integration consistency by the standard Galerkin formulation with lumped heat capacity matrices.This issue is resolved by introducing the boundary-enhanced Galerkin weak form that incorporates the elemental boundary contribution in the discrete finite element formulation.Subsequently,it is theoretically proven that a direct nodal integration identically fulfills the variational integration consistency in the context of the boundary-enhanced Galerkin weak form.The proposed variationally consistent nodal integration therefore enables optimal convergence for explicit transient heat conduction analysis with lumped heat capacity matrices.The efficacy of the proposed variationally con-sistent nodal integration formulation for the 13-node quadrilateral and 39-node hexahedral cubic elements is thoroughly demonstrated via numerical examples. 展开更多
关键词 Cubic serendipity element Heat conduction analysis Nodal integration Lumped heat capacity matrix Variational integration consistency Optimal convergence
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Enriching harmonic balance with non‐smooth Bernoulli bases for accelerated convergence of non-smooth periodic systems 认领 引用
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作者 Yu Zhou Jianliang Huang Li Wang 《Theoretical & Applied Mechanics Letters》 EI CAS CSCD 2025年第1期57-68,共12页
The harmonic balance method(HBM)has been widely applied to get the periodic solution of nonlinear systems,however,its convergence rate as well as computation efficiency is dramatically degraded when the system is high... The harmonic balance method(HBM)has been widely applied to get the periodic solution of nonlinear systems,however,its convergence rate as well as computation efficiency is dramatically degraded when the system is highly non-smooth,e.g.,discontinuous.In order to accelerate the convergence,an enriched HBM is developed in this paper where the non-smooth Bernoulli bases are additionally introduced to enrich the conventional Fourier bases.The basic idea behind is that the convergence rate of the HB solution,as a truncated Fourier series,can be improved if the smoothness of the solution becomes finer.Along this line,using non-smooth Bernoulli bases can compensate the highly non-smooth part of the solution and then,the smoothness of the residual part for Fourier approximation is improved so as to achieve accelerated convergence.Numerical examples are conducted on systems with non-smooth restoring and/or external forces.The results confirm that the proposed enriched HBM indeed increases the convergence rate and the increase becomes more significant if more non-smooth bases are used. 展开更多
关键词 Harmonic balancemethod Non-smooth Bernoullibases Event-driven Gaussquadrature Non-smooth systems Accelerated convergence
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Complete Convergence for the Maximum Partial Sums of m-Widely Orthant Dependent Random Variables Sequences 认领 引用
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作者 SONG Mingzhu 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2025年第6期549-557,共9页
In this paper,the author obtains complete convergence for the maximum partial sums of m-widely orthant dependent(m-WOD)random variables sequences under some general conditions.The results extend the complete convergen... In this paper,the author obtains complete convergence for the maximum partial sums of m-widely orthant dependent(m-WOD)random variables sequences under some general conditions.The results extend the complete convergence for m-WOD random variables to a much more general type complete convergence.As the sequences of m-WOD random variables represent a very broad class of dependent sequences,the results improve and generalize the corresponding ones in the literature. 展开更多
关键词 m-WOD random variables complete convergence Spitzer’s law of large numbers
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Exploring Economic Convergence Within the Silk Road Sphere:An Analysis of Central Asian Turkic Republics,China,Pakistan,and Key Diplomatic Allies 认领 引用
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作者 Abdul Wajid 《Management Studies》 2025年第3期135-146,共12页
This study looks at how the Belt and Road Initiative(BRI)has affected the economic convergence of the Central Asian Turkic Republics,China,Pakistan,and their major diplomatic partners in the Silk Road region.Using bet... This study looks at how the Belt and Road Initiative(BRI)has affected the economic convergence of the Central Asian Turkic Republics,China,Pakistan,and their major diplomatic partners in the Silk Road region.Using beta and sigma convergence models over a predetermined time frame,the research evaluates economic alignment trends statistically and looks into how trade openness,FDI,and human capital affect the convergence process.The research attempts to discover larger causes of convergence,such as institutional quality and geopolitical closeness,by combining econometric analysis with regional economic dynamics.The purpose of the results is to provide policy suggestions that will improve equitable and sustainable economic convergence inside the Silk Road circle,promoting international cooperation and growth. 展开更多
关键词 economic convergence Silk Road beta and sigma convergence models foreign direct investment(FDI) trade transparency human capital development
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Regional Disparity and Convergence of China's Inbound Tourism Economy 认领 引用 被引量：42
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作者 WANG Shuxin HE Yuanqing +2 位作者 WANG Xueding ZHU Guofeng CAO Weihong 《Chinese Geographical Science》 SCIE CSCD 2011年第6期715-722,共8页
Comprehending regional characteristics and influencing factors of China＇s inbound tourism economy is im- portant to make effective policies that will help inbound tourism develop harmoniously and shrink regional disp... Comprehending regional characteristics and influencing factors of China＇s inbound tourism economy is im- portant to make effective policies that will help inbound tourism develop harmoniously and shrink regional disparity. This paper studied the regional disparity and convergence of China＇s inbound tourism economy during 1996-2008 with the methods of a-convergence, club convergence and r-convergence. The results indicate that 1） inbound tourism receipts per capita （ITRPC） of the whole country, the eastern, central and western regions presented the rapid increasing trend; 2） ITRPC of the whole country was characterized by convergence; 3） the eastern region presented club con- vergence, but the central and western regions did not show this trend; 4） the star-hotel levels and investment in fixed assets for the tourism industry per capita had a same trend to growth rates of ITRPC, promoting inbound tourism de- velopment, and there was no difference among the 31 provinces （municipalities） in the mainland of China; 5） but the proportion of employed persons in the tourism industry accounting for total population and the proportion of the terti- ary industry accounting for GDP had a reversal trend to growth rates of ITRPC, shrinking the provincial disparity in inbound tourism economy, and there were differences between the developed provinces and the developing provinces. Based on these analyses, we put forward some suggestions for the developing provinces to speed up inbound tourism economy. 展开更多
关键词 inbound tourism receipts regional disparity a-convergence club convergence fl-convergence China
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