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PROBLEM: 作品数：2363被引量：2316H指数：16; 导出分析报告; 相关领域：自动化与计算机技术更多>>; 相关作者：程志光高桥则雄王建民胡启凡杜永更多>>; 相关机构：清华大学南京航空航天大学东南大学南京师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>

ILP-Based Heuristics for the Multi-Modal Stable Matching Problem: 《Tsinghua Science and Technology》2025年第2期479-487,共9页Yang Yang Rolf H.Möhring Junteng Song Yicheng Xu Yong Zhang; supported by the National Key R&D Program of China(No.2022YFE0196100);the Guangxi Key Laboratory of Cryptography and Information Security(No.GCIS202116);the Fundamental Research Project of Shenzhen City(No.JCYJ20210324102012033);the Shenzhen Science and Technology Program(No.CJGJZD20210408092806017);the National Natural Science Foundation of China(Nos.12371321 and 12071460).; In this paper,we investigate the stable matching problem with multiple preferences in bipartite graphs,where each agent has various preference lists for all available partners with respect to different criteria.The pr...; 关键词：stable matching MULTI-MODAL integer linear programming(ILP)

A MIXED FINITE ELEMENT AND UPWIND MIXED FINITE ELEMENT MULTI-STEP METHOD FOR THE THREE-DIMENSIONAL POSITIVE SEMI-DEFINITE DARCY-FORCHHEIMER MISCIBLE DISPLACEMENT PROBLEM: 《Acta Mathematica Scientia》2025年第2期715-736,共22页Yirang YUAN Changfeng LI Huailing SONG Tongjun SUN; supported by the Natural Science Foundation of Shandong Province(ZR2021MA019);the National Natural Science Foundation of China(11871312)。; In this paper,a composite numerical scheme is proposed to solve the threedimensional Darcy-Forchheimer miscible displacement problem with positive semi-definite assumptions.A mixed finite element is used for the fow e...; 关键词：Darcy-Forchheimer fow three-dimensional positive semi-definite problem upwind mixed finite element multi-step method conservation of mass convergence analysis

Two New Nonconforming Quadrilateral Finite Element Methods for the Brinkman Problem: 《Journal of Mathematical Research with Applications》2025年第2期243-259,共17页Hexin NIU Xinchen ZHOU; Supported by the National Natural Science Foundation of China(Grant No.12201254)。; In this paper, two new efficient fully nonconforming polynomial finite element methods on arbitrary convex quadrilaterals are constructed to solve the Brinkman problem. Both elements have 12 local degrees of freedom a...; 关键词：Nonconforming finite element polynomial shape functions quadrilateral meshes uniform convergence

Optimal control of a class of fully coupled forward-backward stochastic partial differential equations: 《Probability, Uncertainty and Quantitative Risk》2025年第1期67-102,共36页Suya Zhang Maozhong Xu Qingxin Meng; Qingxin Meng was supported by the Key Projects of Natural Science Foundation of Zhejiang Province(Grant No.LZ22A010005);the National Natural Science Foundation of China(Grant Nos.12271158 and 11871121).; This paper investigates the optimal control problem for a class of fully coupled forward-backward stochastic partial differential equations(FBSPDEs).Based on the existence of a unique solution to such equations,we for...; 关键词：Forward-backward stochastic partial differential equation Monotonicity condition Stochastic maximum principle Convex domain Linear quadratic problem

Harnessing Trend Theory to Enhance Distributed Proximal Point Algorithm Approaches for Multi-Area Economic Dispatch Optimization: 《Computers, Materials & Continua》2025年第3期4503-4533,共31页Yaming Ren Xing Deng; funded by Guangxi Science and Technology Base and Talent Special Project,grant number GuiKeAD20159077;Foundation of Guilin University of Technology,grant number GLUTQD2018001.; The exponential growth in the scale of power systems has led to a significant increase in the complexity of dispatch problem resolution,particularly within multi-area interconnected power grids.This complexity necessi...; 关键词：Multi-area economic dispatch problem proximal point algorithm trend theory

The Relationship Between Problem Features and Algorithm Evaluation Methods in Artificial Intelligence: 《教育技术与创新》2025年第1期30-38,共9页Hao Wu Tongbang Wang Xinguo Yu; funded by the General Program of the National Natural Science Foundation of China grant number[62277022].; Algorithms are the primary component of Artificial Intelligence(AI).The algorithm is the process in AI that imitates the human mind to solve problems.Currently evaluating the performance of AI is achieved by evaluatin...; 关键词：AI algorithm evaluation AI algorithm evaluation method intelligent research Problem Solving Capabilities

Asteroid mining: ACT&Friends’ results for the GTOC12 problem: 《Astrodynamics》2025年第1期19-40,共22页Dario Izzo Marcus Märtens Laurent Beauregard Max Bannach Giacomo Acciarini Emmanuel Blazquez Alexander Hadjiivanov Jai Grover Gernot Heißel Yuri Shimane Chit Hong Yam; In 2023, the 12th edition of Global Trajectory Competition was organized around the problem referred to as “Sustainable Asteroid Mining”. This paper reports the developments that led to the solution proposed by ESA...; 关键词：GTOC low thrust asteroid mining machine learning mixed-integer linear programming nonlinear programming

Quantum walks advantage on the dihedral group for uniform sampling problem: 《Communications in Theoretical Physics》2025年第2期87-98,共12页Shyam Dhamapurkar Yuhang Dang Saniya Wagh Xiu-Hao Deng; supported by the Key-Area Research and Development Program of Guang-Dong Province(Grant No.2018B030326001);the National Natural Science Foundation of China(U1801661);Shenzhen Science and Technology Program(KQTD20200820113010023)。; Random walk algorithms are crucial for sampling and approximation problems in statistical physics and theoretical computer science.The mixing property is necessary for Markov chains to approach stationary distribution...; 关键词：continuous time quantum walks Cayley graphs non-abelian groups mixing time

Mitigating Hotspot Problem Using Northern Goshawk Optimization Based Energy Aware Multi-Hop Communication for Wireless Sensor Networks: 《China Communications》2025年第2期283-298,共16页S.Leones Sherwin Vimalraj J.Lydia; Wireless Sensor Network(WSN)comprises a set of interconnected,compact,autonomous,and resource-constrained sensor nodes that are wirelessly linked to monitor and gather data from the physical environment.WSNs are commo...; 关键词：CLUSTERING energy efficiency metaheuristics multihop communication network lifetime wireless sensor networks

On the Divisor Problem with Congruence Conditions: 《数学进展》2025年第1期1-17,共17页JIA Lirui ZHAI Wenguang CAI Tianxin; supported by the Talent Fund of Beijing Jiaotong University(No.2020RC012);NSFC(No.11871295),supported by NSFC(No.11971476),supported by NSFC(No.12071421)。; Let d(n;r_(1),q_(1),r_(2),q_(2))be the number of factorization n=n_(1)n_(2)satisfying n_i≡r_i(mod q_i)(i=1,2)andΔ(x;r_(1),q_(1),r_(2),q_(2))be the error term of the summatory function of d(n;r_(1),q_(1),r_(2),q_(2))...; 关键词：divisor problem sign change congruence condition

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