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The Well and Box Types Initial Value Problems of the Defocusing mKdV Equation 认领 引用
1
作者 Yuhan Ye Juanjuan Wu 《Chinese Physics Letters》 SCIE EI CAS CSCD 2026年第4期1-6,共6页
We study the time evolution problems of special initial values with two discontinuities for the defocusing mKdV equation.Based on the finite-gap integral method,Whitham modulation system of the defocusing m Kd V equat... We study the time evolution problems of special initial values with two discontinuities for the defocusing mKdV equation.Based on the finite-gap integral method,Whitham modulation system of the defocusing m Kd V equation is derived in the form of Riemann invariants,and full-time evolution results for six types of initial values with two discontinuities are obtained in detail.The regions where rarefaction waves interact with dispersive shock waves are thoroughly analyzed.Two novel phenomena,namely soliton trains and linear wave packets,are identified and their intrinsic mechanisms are systematically illustrated.All the results are verified by numerical simulations. 展开更多
关键词 time evolution problems soliton trai box type initial value problems dispersive shock waves well type initial value problems rarefaction waves defocusing m kd v equation riemann invariantsand
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Introduction to the Special Issue on Scientific Computing and Its Application to Engineering Problems 认领 引用
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作者 Higinio Ramos M Chandru 《Computer Modeling in Engineering & Sciences》 SCIE EI 2026年第4期22-24,共3页
Scientific computing has become a cornerstone of modern scientific discovery and engineering innovation.With the rapid advancement of computational power and numerical algorithms,problems that were once analytically i... Scientific computing has become a cornerstone of modern scientific discovery and engineering innovation.With the rapid advancement of computational power and numerical algorithms,problems that were once analytically intractable can now be studied through accurate simulations and large-scale numerical experiments.Scientific computing provides a bridge between mathematical theory,computational algorithms,and real-world engineering applications,enabling researchers to model complex phenomena such as fluid flow,structural deformation,wave propagation,stochastic processes,and nonlinear dynamical systems.The special issue entitled“Scientific Computing and Its Application to Engineering Problems”was conceived to bring together high-quality research contributions that demonstrate the role of computational mathematics in solving challenging engineering problems.The issue highlights both theoretical advances in numerical methods and their practical deployment in real-world engineering scenarios,with emphasis on robustness,computational efficiency,stability,and scalability. 展开更多
关键词 scientific computing accurate simulations fluid flows numerical algorithmsproblems computational power numerical algorithms engineering problems model complex phenomena
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Mindfulness and internalizing/externalizing problems among adolescents:Ethnicity moderation and psychological capital mediation 认领 引用
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作者 Jia Wu Wei Luo +4 位作者 Qianguo Xiao Qinhong Xie Xiaodong Li Taiyong Bi Hui Kou 《Journal of Psychology in Africa》 2026年第1期97-106,共10页
This study examines the mediating role of positive psychological capital and the moderating role of ethnicity in the relationship between mindfulness and internalizing/externalizing problems among adolescents.The stud... This study examines the mediating role of positive psychological capital and the moderating role of ethnicity in the relationship between mindfulness and internalizing/externalizing problems among adolescents.The study sample comprized Chinese adolescents(N=637 ethnic minority;females=40.97%,meam age=12.68,SD=0.49 years;N=636 Han;females=49.06%,mean age=12.71,SD=0.47 years).The participants completed the Child and Adolescent Mindfulness Measure,the Positive Psycap Questionnaire,and the Youth Self-Report.Results from the moderated mediation analysis showed mindfulness was negatively associated with both internalizing and externalizing problems.Ethnicity moderated the relationship between mindfulness and internalizing problems to be stronger for Han adolescents compared to ethnic minority adolescents.Psychological capital mediated the relationship between mindfulness and internalizing problems in both groups,with a negative direction.Findings support the Conservation of Resources theory and highlight mindfulness as a personal resource fostering adolescent well-being in multicultural contexts. 展开更多
关键词 Ethnic minority adolescent mindfulness positive psychological capital internalizing problems externalizing problems
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A Cross-lagged Panel Analysis of Sleep and Behavioral Problems in Children and Adolescents with Overweight and Obesity 认领 引用
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作者 Dongmei Wang Wanling Zhang +5 位作者 Hui Xu Na Hu Xiao Leng Aihua Wang Di Wu Ying Li 《Biomedical and Environmental Sciences》 SCIE CAS CSCD 2026年第6期736-741,共6页
The global incidence of pediatric obesity has increased rapidly over the past few decades.Scientific evidence has repeatedly shown that behavioral and emotional challenges are frequently observed in children with over... The global incidence of pediatric obesity has increased rapidly over the past few decades.Scientific evidence has repeatedly shown that behavioral and emotional challenges are frequently observed in children with overweight or obesity[1-2],as evidenced by a landmark case-control design study revealing that obese children have 7.15 times higher odds of developing mental health disorders in adolescence than their normal-weight peers[1]. 展开更多
关键词 adolescents obesity sleep mental health disorders children behavioral emotional challenges behavioral problems overweight
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Cooperative Metaheuristics with Dynamic Dimension Reduction for High-Dimensional Optimization Problems 认领 引用
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作者 Junxiang Li Zhipeng Dong +2 位作者 Ben Han Jianqiao Chen Xinxin Zhang 《Computers, Materials & Continua》 SCIE EI 2026年第1期1484-1502,共19页
Owing to their global search capabilities and gradient-free operation,metaheuristic algorithms are widely applied to a wide range of optimization problems.However,their computational demands become prohibitive when ta... Owing to their global search capabilities and gradient-free operation,metaheuristic algorithms are widely applied to a wide range of optimization problems.However,their computational demands become prohibitive when tackling high-dimensional optimization challenges.To effectively address these challenges,this study introduces cooperative metaheuristics integrating dynamic dimension reduction(DR).Building upon particle swarm optimization(PSO)and differential evolution(DE),the proposed cooperative methods C-PSO and C-DE are developed.In the proposed methods,the modified principal components analysis(PCA)is utilized to reduce the dimension of design variables,thereby decreasing computational costs.The dynamic DR strategy implements periodic execution of modified PCA after a fixed number of iterations,resulting in the important dimensions being dynamically identified.Compared with the static one,the dynamic DR strategy can achieve precise identification of important dimensions,thereby enabling accelerated convergence toward optimal solutions.Furthermore,the influence of cumulative contribution rate thresholds on optimization problems with different dimensions is investigated.Metaheuristic algorithms(PSO,DE)and cooperative metaheuristics(C-PSO,C-DE)are examined by 15 benchmark functions and two engineering design problems(speed reducer and composite pressure vessel).Comparative results demonstrate that the cooperative methods achieve significantly superior performance compared to standard methods in both solution accuracy and computational efficiency.Compared to standard metaheuristic algorithms,cooperative metaheuristics achieve a reduction in computational cost of at least 40%.The cooperative metaheuristics can be effectively used to tackle both high-dimensional unconstrained and constrained optimization problems. 展开更多
关键词 Dimension reduction modified principal components analysis high-dimensional optimization problems cooperative metaheuristics metaheuristic algorithms
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Design and Validation of Zeroing Neural Network With Active Noise Rejection Capability for Time-Varying Problems Solving 认领 引用
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作者 Yilin Shang Wenbo Zhang +1 位作者 Dongsheng Guo Shan Xue 《CAAI Transactions on Intelligence Technology》 SCIE EI CSCD 2026年第1期256-266,共11页
Recently,the zeroing neural network(ZNN)has demonstrated remarkable effectiveness in tackling time-varying problems,delivering robust performance across both noise-free and noisy environments.However,existing ZNN mode... Recently,the zeroing neural network(ZNN)has demonstrated remarkable effectiveness in tackling time-varying problems,delivering robust performance across both noise-free and noisy environments.However,existing ZNN models are limited in their ability to actively suppress noise,which constrains their robustness and precision in solving time-varying problems.This paper introduces a novel active noise rejection ZNN(ANR-ZNN)design that enhances noise suppression by integrating computational error dynamics and harmonic behaviour.Through rigorous theoretical analysis,we demonstrate that the proposed ANR-ZNN maintains robust convergence in computational error performance under environmental noise.As a case study,the ANR-ZNN model is specifically applied to time-varying matrix inversion.Comprehensive computer simulations and robotic experiments further validate the ANR-ZNN's effectiveness,emphasising the proposed design's superiority and potential for solving time-varying problems. 展开更多
关键词 active noise rejection matrix inversion robot application time-varying problems zeroing neural network
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Somatization and Eating Problems in Adolescents in Residential Care: The Influence of Relational Trauma, Attachment, Gender, and Personal Resources 认领 引用
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作者 Laura Lacomba-Trejo Francisco González-Sala +1 位作者 Sandra Simó Florencia Talmón-Knuser 《International Journal of Mental Health Promotion》 2026年第3期38-58,共21页
Backgrounds:Somatization and eating-related problems in adolescents living in residential care may be shaped by the interplay of risk and protective factors,including gender,relational trauma,attachment patterns,emoti... Backgrounds:Somatization and eating-related problems in adolescents living in residential care may be shaped by the interplay of risk and protective factors,including gender,relational trauma,attachment patterns,emotional intelligence,and perceived social support.This study examined how gender,relational trauma,attachment dimensions,resilience,and emotional intelligence contribute to the presence of somatic and eating difficulties in this population.Methods:The sample included 46 adolescents(63%female;ages 12–17,Mean=14.85,Standard Deviation(SD)=1.49)residing in child protection institutions in Uruguay.Participants completed self-report measures assessing childhood relational trauma(CaMir),attachment dimensions(anxiety and avoidance),resilience,emotional intelligence(adaptability and stress management),social support(MOS),and psychosocial adjustment(SENA subscales of somatization and eating problems).Using a fuzzy-set Qualitative Comparative Analysis(fsQCA)approach,distinct configurations of risk and protective factors associated with elevated levels of somatization and eating problems were identified.Results:Relational trauma and attachment anxiety showed moderate associations with both somatization and eating problems(r=0.52–0.57,p<0.01),whereas stress management was negatively associated with both outcomes(r=−0.37 to−0.47,p<0.05).FsQCA revealed multiple configurations of risk and protective factors explaining 81–90%of cases,with solution consistencies ranging from 0.83 to 0.87.Results suggest that relational trauma and attachment anxiety are key risk conditions,whereas resilience,emotional regulation,and perceived social support function as protective factors.Conclusions:Findings highlight the importance of considering multifactorial patterns of vulnerability and protection rather than single predictors and underscore the need for tailored interventions that strengthen resilience and emotional skills while addressing the impact of early relational trauma. 展开更多
关键词 Residential care somatization eating problems relational trauma resilience emotional intelligence social support
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Embodied-Intelligence Power Industrial Control Systems:Architecture Design,Key Scientific Problems,and Research Recommendations 认领 引用
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作者 Tingjun Zhang Dong Yue 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2026年第2期239-242,共4页
THE power industrial control system(power ICS)is thecore infrastructure that ensures the safe,stable,and efficient operation of power systems.Its architecture typi-cally adopts a hierarchical and partitioned end-edge-... THE power industrial control system(power ICS)is thecore infrastructure that ensures the safe,stable,and efficient operation of power systems.Its architecture typi-cally adopts a hierarchical and partitioned end-edge-cloud collaborative design.However,the large-scale integration ofdistributed renewable energy resources,coupled with the extensivedeployment of sensing and communication devices,has resulted inthe new-type power system characterized by dynamic complexityand high uncertainty[1]-[4]. 展开更多
关键词 power system embodied intelligence power industrial control system power architecture design key scientific problems power industrial control systems sensing communication deviceshas renewable energy resourcescoupled
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The Curvilinear Relationship between Maternal-Parenting Stress and Adolescent Internalizing-Problems:Family Socioeconomic-Status and Adolescent Gender’s Moderating Roles 认领 引用
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作者 Xiaoting Hou Jingjing Zhao +2 位作者 Yuxin Shi Yuhua Li Shufen Xing 《International Journal of Mental Health Promotion》 2026年第3期26-37,共12页
Background:The growing parenting stress among Chinese mothers in recent years raises concerns about its impact on adolescent internalizing problems.The purpose of this study was to examine the curvilinear relationship... Background:The growing parenting stress among Chinese mothers in recent years raises concerns about its impact on adolescent internalizing problems.The purpose of this study was to examine the curvilinear relationship between maternal parenting stress and internalizing problems in adolescents,and further explore the moderating effects of family socioeconomic status(SES)and adolescent gender.Methods:Data were collected from 405 mothers and adolescents(203 boys,Meanage=12.23)across five cities(Beijing,Hebei,Shanxi,Shenzhen,and Shandong)in China,who completed self-report measures of maternal parenting stress and internalizing problems.Descriptive statistics and multiple regression analyses were conducted using SPSS 27.0.Results:Multiple regression analyses indicated that the association between maternal parenting stress2 and adolescents’internalizing problems was moderated by the interaction between gender and SES(b=−0.03,p<0.01).Specifically,a significant U-shaped relationship was observed among high-SES boys(b=0.12,t=3.89,p<0.001),with internalizing problems peaking at both low and high levels of maternal parenting stress,whereas the moderating effect of SES was not significant among girls.Conclusion:The study highlights that moderate maternal parenting stress is associated with lower internalizing problems among adolescents,particularly among high-SES boys,indicating that interventions should consider the optimal balance of parental stress and account for family socioeconomic and adolescent gender differences. 展开更多
关键词 Maternal parenting stress internalizing problems family socioeconomic status gender
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Physics-informed neural networks with Poincaré-Lighthill-Kuo method for singular perturbation problems 认领 引用
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作者 Qingyong Luo Lei Zhang Guowei He 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2026年第6期211-222,共12页
Physics-informed neural networks(PINNs)have recently emerged as a powerful tool to solve differential equations for nonlinear mechanics.However,PINNs struggle with singular perturbation problems due to their locally a... Physics-informed neural networks(PINNs)have recently emerged as a powerful tool to solve differential equations for nonlinear mechanics.However,PINNs struggle with singular perturbation problems due to their locally abrupt behavior and singularities.The Poincaré-Lighthill-Kuo(PLK)method has been efficiently used to address these problems by applying perturbation expansions to both dependent and independent variables.This paper proposes a combination of the PLK method and PINNs,termed PLK-PINNs.The PLK-PINNs employ a parametric expression through two neural networks:one representing the mapping from parametric variables to independent variables,and the other approximating the solution of dependent variables with respect to parametric variables.Moreover,an auxiliary loss term is proposed to constrain the Jacobian determinant of the mapping within a constant sign interval to ensure the bijectivity of the mapping.The effectiveness of the proposed method is demonstrated through tests on typical singularity-shift and secular-term problems,with conventional PINNs in comparison. 展开更多
关键词 Physics-informed neural networks Singular perturbation problems Poincaré-Lighthill-Kuo method Parametric expressions
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Crazy Rotating:The Linear or Curvilinear Relationship of Parental Overparenting and Adolescent Internalizing Problems in China 认领 引用
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作者 Qiaoer Li Xiaoting Hou +1 位作者 Jingjing Zhao Shufen Xing 《International Journal of Mental Health Promotion》 2026年第5期19-37,共19页
Background:Parental overparenting is highly prevalent in current Chinese families,and its psychological influences on adolescent mental health are of great academic and practical concern.However,limited research has e... Background:Parental overparenting is highly prevalent in current Chinese families,and its psychological influences on adolescent mental health are of great academic and practical concern.However,limited research has examined the potential curvilinear relationship between different dimensions of parental overparenting and adolescent internalizing problems,as well as the moderating roles of adolescent gender and age in these relationships.The purpose of this study was to examine the unique and potentially curvilinear effects of different dimensions of parental overparenting on adolescent internalizing problems in the context of contemporary Chinese families.Methods:Data were collected from 285 adolescents(147 male,Meanage=11.93)and their families across five cities in China at an initial assessment(Wave 1)and at a follow-up one year later(Wave 2).Hierarchical regression analyses were performed with SPSS 25.0 to examine the associations among the main variables.Results:The findings indicated that different dimensions of parental overparenting were differentially associated with adolescents’internalizing problems.Specifically,frequent comparisons of children’s achievements with peers positively and linearly predicted adolescents’internalizing problems at Wave 2(β=0.27,p<0.05).In addition,excessive affective involvement showed a U-shaped association with boys’internalizing problems(b=0.21,p<0.01),whereas excessive care exhibited a U-shaped association with adolescents’internalizing problems at Wave 2(b=0.19,p<0.05).Conclusions:These results suggest that different dimensions of overparenting impact adolescent development in various ways,highlighting the need for providing appropriate support and guidance without excessive control in family parenting practices. 展开更多
关键词 Parental overparenting internalizing problems adolescent curvilinear relationship
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Structural optimization of stress-bearing structures of nearly incompressible problems under design-dependent pressure loads 认领 引用 被引量：1
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作者 T.T.BANH N.T.Y.NGUYEN +1 位作者 H.P.BAN D.LEE 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2026年第4期905-926,共22页
An efficient and innovative method is presented for the stress-related structural topology optimization(TO)in coupled mechanical-pressure systems by leveraging flexible polygonal meshes.With a polytopal composite fini... An efficient and innovative method is presented for the stress-related structural topology optimization(TO)in coupled mechanical-pressure systems by leveraging flexible polygonal meshes.With a polytopal composite finite element approach,the volumetric locking in nearly incompressible materials is reduced.A fluid-flow-based model is built,in which a design-dependent pressure variable is introduced to capture the loading conditions within the system.The P-norm approach consolidates the stress metrics into a global measure,while the clustered regional scaling and adaptive techniques enhance the solutions for stress-limited cases.The primary contributions of this work include a novel framework for addressing the stress challenges in coupled mechanical-pressure systems via flow-based modeling,the adaptability to both compressible and nearly incompressible materials,and the compatibility with diverse mesh types,including triangular,quadrilateral,and polygonal elements.The numerical examples demonstrate,for the first time,optimized topologies for nearly incompressible materials under stress constraints in coupled mechanical-pressure environments,emphasizing the unique strength of this approach. 展开更多
关键词 topology optimization(TO) stress-related problem design-dependent load near incompressibility mechanical-pressure system polytopal composite finite element
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NONLINEAR RIEMANN AND HILBERT BOUNDARY VALUE PROBLEMS WITH SQUARE ROOTS IN VARIABLE EXPONENT SPACES 认领 引用
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作者 Yajun Hu Fuli He 《Acta Mathematica Scientia》 SCIE CSCD 2026年第1期1-18,共18页
In this paper,we study the nonlinear Riemann boundary value problem with square roots that is represented by a Cauchy-type integral with kernel density in variable exponent Lebesgue spaces.We discuss the odd-order zer... In this paper,we study the nonlinear Riemann boundary value problem with square roots that is represented by a Cauchy-type integral with kernel density in variable exponent Lebesgue spaces.We discuss the odd-order zero-points distribution of the solutions and separate the single valued analytic branch of the solutions with square roots,then convert the problem to a Riemann boundary value problem in variable exponent Lebesgue spaces and discuss the singularity of solutions at individual zeros belonging to curve.We consider two types of cases those where the coefficient is Hölder and those where it is piecewise Hölder.Then we solve the Hilbert boundary value problem with square roots in variable exponent Lebesgue spaces.By discussing the distribution of the odd-order zero-points for solutions and the method of symmetric extension,we convert the Hilbert problem to a Riemann boundary value problem.The equivalence of the transformation is discussed.Finally,we get the solvable conditions and the direct expressions of the solutions in variable exponent Lebesgue spaces. 展开更多
关键词 boundary value problem Cauchy-type integral variable exponent spaces non-linearity piecewise Lyapunov curve
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Data-Driven Algorithms for Finite-Horizon and Infinite-Horizon Indefinite Linear Quadratic Stochastic Optimal Control Problems 认领 引用
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作者 Guangchen Wang Heng Zhang 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2026年第6期1459-1469,共11页
This paper is devoted to devising data-driven algorithms for finite-horizon and infinite-horizon linear quadratic stochastic optimal control(LQSOC)problems.In our study,the diffusion terms of system dynamics are permi... This paper is devoted to devising data-driven algorithms for finite-horizon and infinite-horizon linear quadratic stochastic optimal control(LQSOC)problems.In our study,the diffusion terms of system dynamics are permitted to hinge upon both control and state variables,and the weighting matrices of cost functionals are allowed to be indefinite.It is acknowledged that the optimal controls of finite-horizon and infinite-horizon indefinite LQSOC problems are correlated with a generalized differential Riccati equation(GDRE)and a generalized algebraic Riccati equation(GARE).Herein,we propose two data-driven algorithms to approximate the solutions of these Riccati equations,and thereby determine optimal controls,without leveraging the information of all system parameters.Additionally,we prove the convergence of these algorithms and examine the impact of computational errors.Finally,we validate the performance of these data-driven algorithms via three simulation examples. 展开更多
关键词 Data-driven algorithm generalized algebraic Riccati equation (GARE) generalized differential Riccati equation (GDRE) indefinite problem linear quadratic stochastic optimal control (LQSOC)
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Research on the Problems and Countermeasures of Construction Materials Procurement Cost Control 认领 引用
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作者 Kaichen Xu 《Journal of World Architecture》 2026年第1期79-85,共7页
In the whole construction process of engineering projects,the procurement cost of construction materials accounts for a large proportion of the total project cost,and its control effect directly affects the economic b... In the whole construction process of engineering projects,the procurement cost of construction materials accounts for a large proportion of the total project cost,and its control effect directly affects the economic benefits and overall construction benefits of the project,making it one of the core links in the management of construction engineering projects.At present,the overall development of China’s construction industry is in a good state,but most construction enterprises still have many deficiencies in the control of material procurement costs,failing to form a scientific and complete control system.This leads to frequent problems such as high procurement costs and resource waste,which restricts the sustainable development of enterprises.Combining with the actual workflow of construction material procurement,this paper analyzes the common problems existing in the current material procurement cost control process,and puts forward targeted and feasible countermeasures.It aims to provide a reasonable reference for construction enterprises to optimize procurement cost control and enhance core competitiveness,so as to promote the healthy and orderly development of the construction industry. 展开更多
关键词 Construction engineering Material procurement Cost control Problems Countermeasures
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Problems and Solutions in the Training of Pediatric Clinical Skills for Undergraduate Medical Students 认领 引用
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作者 Changbo Zhao 《Journal of Clinical and Nursing Research》 2026年第4期360-366,共7页
Undergraduate students majoring in clinical medicine are one of the important reserve forces of clinical doctors in China,and their pediatric clinical skills are directly related to their future clinical practice qual... Undergraduate students majoring in clinical medicine are one of the important reserve forces of clinical doctors in China,and their pediatric clinical skills are directly related to their future clinical practice quality and the diagnosis and treatment safety of children.At present,there are still some deficiencies in the training of pediatric clinical skills for undergraduate medical students,which restrict the effect of skill training and are difficult to meet the needs of pediatric clinical diagnosis and treatment positions.Focusing on four dimensions-teaching model,teaching resources,student learning,and assessment and incentive-this paper analyzes the existing problems in the training of pediatric clinical skills for undergraduate medical students and puts forward targeted solutions,aiming to provide references for optimizing the pediatric clinical skill training system and improving the pediatric clinical practice ability of undergraduate medical students. 展开更多
关键词 Undergraduate medical students Pediatrics Clinical skill training Problems Solutions
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Research on the Problems of Environmental Trade Barriers in International Trade and Countermeasures 认领 引用
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作者 Wu Xiang Yang 《Proceedings of Business and Economic Studies》 2026年第3期203-208,共6页
With the wave of globalization is deepening,international trade is becoming more and more prosperous,and it has become a main driving force for the economic development of various countries.However,with the improvemen... With the wave of globalization is deepening,international trade is becoming more and more prosperous,and it has become a main driving force for the economic development of various countries.However,with the improvement of environmental protection awareness,environmental trade barriers have also become a difficult problem in international trade.These barriers are in the name of protecting the environment,but in fact they take trade liberalization and fairness as obstacles,bringing many barriers to international trade.Therefore,this study analyzes the problems of environmental trade barriers in international trade,with an aim to propose corresponding countermeasures and promote the healthy development of international trade. 展开更多
关键词 International trade Environmental trade barrier problems Countermeasure research
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Linear Spectral Turán Problems for Expansions of Graphs with Given Chromatic Number 认领 引用
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作者 Chuan-ming SHE Yi-zheng FAN +1 位作者 Li-ying KANG Yao-ping HOU 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2026年第3期933-941,共9页
An r-uniform hypergraph is linear if every two edges intersect in at most one vertex.The rexpansion Frof a graph F is the r-uniform hypergraph obtained from F by enlarging each edge of F with a vertex subset of size r... An r-uniform hypergraph is linear if every two edges intersect in at most one vertex.The rexpansion Frof a graph F is the r-uniform hypergraph obtained from F by enlarging each edge of F with a vertex subset of size r-2 disjoint from the vertex set of F such that distinct edges are enlarged by disjoint subsets.Let exrlin(n,Fr)and spexrlin(n,Fr)be the maximum number of edges and the maximum spectral radius of all Fr-free linear r-uniform hypergraphs with n vertices,respectively.In this paper,we present sharp(or asymptotic)bounds of exrlin(n,Fr)and spexrlin(n,Fr)by establishing a connection between the spectral radii of linear hypergraphs and those of their shadow graphs,where F is a(k+1)-color critical graph or a graph with chromatic number k. 展开更多
关键词 Linear hypergraph extreme problem adjacency tensor spectral radius expansion of graph
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BREGMAN PROJECTIONS AND PARALLEL LINESEARCH ALGORITHMS FOR MULTIPLE-SETS PROBLEMS 认领 引用
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作者 Fahimeh Akhavan GHASSABZADE Zeynab JOUYMANDI Fridoun MORADLOU 《Acta Mathematica Scientia》 SCIE CSCD 2026年第4期1979-1998,共20页
In this article,using Bregman projections,we present parallel linesearch algorithms for finding the solution of the split common null point problem,the multiple-sets split equilibrium problem and the solution of the m... In this article,using Bregman projections,we present parallel linesearch algorithms for finding the solution of the split common null point problem,the multiple-sets split equilibrium problem and the solution of the multiple-sets split variational inequality problem in uniformly smooth and p-uniformly convex Banach spaces.To prove the strong convergence of the iterates generated by our algorithms,we do not need any auxiliary equilibrium problem.To demonstrate the applicability of our results,we present some numerical examples.To solve the minimization subproblems in our algorithms,we use the fmincon optimization toolbox in MATLAB R2015a. 展开更多
关键词 Bregman projection multiple-sets split equilibrium problem parallel linesearch method split common null point problem
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Neural boundary shape functions in physics-informed neural networks for discontinuous and high-frequency problems 认领 引用
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作者 P.T.NGUYEN K.A.LUONG J.H.LEE 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2026年第2期423-442,共20页
Physics-informed neural networks(PINNs)have been shown as powerful tools for solving partial differential equations(PDEs)by embedding physical laws into the network training.Despite their remarkable results,complicate... Physics-informed neural networks(PINNs)have been shown as powerful tools for solving partial differential equations(PDEs)by embedding physical laws into the network training.Despite their remarkable results,complicated problems such as irregular boundary conditions(BCs)and discontinuous or high-frequency behaviors remain persistent challenges for PINNs.For these reasons,we propose a novel two-phase framework,where a neural network is first trained to represent shape functions that can capture the irregularity of BCs in the first phase,and then these neural network-based shape functions are used to construct boundary shape functions(BSFs)that exactly satisfy both essential and natural BCs in PINNs in the second phase.This scheme is integrated into both the strong-form and energy PINN approaches,thereby improving the quality of solution prediction in the cases of irregular BCs.In addition,this study examines the benefits and limitations of these approaches in handling discontinuous and high-frequency problems.Overall,our method offers a unified and flexible solution framework that addresses key limitations of existing PINN methods with higher accuracy and stability for general PDE problems in solid mechanics. 展开更多
关键词 physics-informed neural network(PINN) boundary shape function(BSF) strong-form approach energy approach discontinuity high-frequency problem
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