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ERROR ANALYSIS OF FRACTIONAL COLLOCATION METHODS FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH NONCOMPACT OPERATORS: 《Journal of Computational Mathematics》2025年第3期690-707,共18页Zheng Ma Chengming Huang Anatoly A.Alikhanov; supported by the National Natural Science Foundation of China(Grant No.12171177);supported by the Russian Science Foundation(Grant No.23-41-00037).; This paper is concerned with the numerical solution of Volterra integro-differential equations with noncompact operators.The focus is on the problems with weakly singular solutions.To handle the initial weak singulari...; 关键词：Volterra integro-differential equation Noncompact operator Nonsmooth solution Collocation method Fractional polynomial hp-version error analysis

Intelligent Vehicle Lane-Changing Strategy through Polynomial and Game Theory: 《Computers, Materials & Continua》2025年第5期2003-2023,共21页Buwei Dang Huanming Chen Heng Zhang Jixian Wang Jian Zhou; supported by the Science and Technology Program of Shandong Higher Education Institutions(Grant J18KA048).; This paper introduces a lane-changing strategy aimed at trajectory planning and tracking control for intelligent vehicles navigating complex driving environments.A fifth-degree polynomial is employed to generate a set...; 关键词：Lane-changing strategy trajectory planning game theory tracking control automated driving

New exact traveling wave solutions of the coupled Boussinesq equations: 《Theoretical & Applied Mechanics Letters》2025年第2期108-114,共7页Mingyue Wang Youhe Zhou Jizeng Wang; supported by the National Natural Science Foundation of China(Grant No.11925204).; The Boussinesq equations,pivotal in the analysis of water wave dynamics,effectively model weakly nonlinear and long wave approximations.This study utilizes the complete discriminant system within a polynomial approach...; 关键词：Coupled Boussinesq equations Exact traveling wave solutions Complete discriminant system Polynomial method

Algorithms for Scheduling Problems with Rejection: 《Tsinghua Science and Technology》2025年第2期561-568,共8页Quanchang Zheng Fanyu Kong Jianfeng Ren Yuzhong Zhang; supported by the National Natural Science Foundation of China(Nos.12271295 and 12371319);Shandong Province Natural Science Foundation(Nos.ZR2019MA061 and ZR2022MA038).; We study scheduling problems with rejection on parallel-machine.Each job consists of a processing time,a rejection cost,and a release date.The goal is to minimize the makespan of the jobs accepted when the total rejec...; 关键词：approximation algorithm dynamic programming fully polynomial approximation scheme SCHEDULING REJECTION

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

Geometry of Numerical Range of Linear Operator Polynomial: 《Chinese Annals of Mathematics,Series B》2025年第1期151-162,共12页Deyu WU Alatancang CHEN; supported by the National Natural Science Foundation of China(No.11561048);the Natural Science Foundation of Inner Mongolia(No.2023MS01011)。; Let B(X)be the algebra of all bounded linear operators on a Hilbert space X.Consider an operator polynomial P(λ)=A_(m)λ^(m)+A_(m-1)λ^(m-1)+……-+A_(0),where Ai∈B(X),i=0,1,…,m.The numerical range of P(λ)is define...; 关键词：Linear operator polynomial Numerical range Connectedness CONVEXITY Block numerical range

ROITP:Road Obstacle-Involved Trajectory Planner for Autonomous Trucks: 《Chinese Journal of Mechanical Engineering》2025年第1期340-352,共13页Yechen Qin Yiwei Huang Wenhao Yu Hong Wang; Supported by National Natural Science Foundation of China (Grant Nos. 52072215, 52221005, 52272386);Beijing Municipal Natrual Science Foundation (Grant No. L243025);National Key R&D Program of China (Grant No. 2022YFB2503003);State Key Laboratory of Intelligent Green Vehicle and Mobility;fundamental Research Funds for the Central Universities; Autonomous trucks have the potential to enhance both safety and convenience in intelligent transportation.However,their maximum speed and ability to navigate a variety of driving conditions,particularly uneven roads,a...; 关键词：Autonomous truck Trajectory planning Obstacle avoiding Vehicle stability Polynomial curves

A polynomial resultant approach to algebraic constructions of extremal graphs: 《Science China Mathematics》2025年第2期485-506,共22页Tao Zhang Zixiang Xu Gennian Ge; supported by the Institute for Basic Science(IBS-R029-C4);supported by the National Key Research and Development Program of China(Grant No.2020YFA0712100);National Natural Science Foundation of China(Grant No.12231014);Beijing Scholars Program。; The Turán problem asks for the largest number of edges ex(n,H)in an n-vertex graph not containing a fixed forbidden subgraph H,which is one of the most important problems in extremal graph theory.However,the order of...; 关键词：Turan number RESULTANT algebraic construction SUBDIVISION Berge theta hypergraph

Integer wavelet transform-based secret image sharing using rook polynomial and hamming code with authentication: 《CAAI Transactions on Intelligence Technology》2024年第6期1435-1450,共16页Sara Charoghchi Zahra Saeidi Samaneh Mashhadi; Iran National Science Foundation,Grant/Award Number:99009224。; As an effective way to securely transfer secret images,secret image sharing(SIS)has been a noteworthy area of research.Basically in a SIS scheme,a secret image is shared via shadows and could be reconstructed by havin...; 关键词：hamming code homogeneous linear recursion IWT rook polynomial (t n)-secret image sharing

Analysis and Control of the Vehicle Roll Dynamics Using Sum of Squares Polynomial Approach: 《Journal of Systems Science & Complexity》2024年第6期2318-2346,共29页IBEN AMMAR Imen DOUMIATI Moustapha TALJ Reine CHOKOR Abbas MACHMOUM Mohamed; supported by Project ANR V3EA(Véhicule Electrique,Econome en Energie et Autonome)under Grant No.V3EA-ANR-21-CE22-0024。; The safety of vehicle travel relies on good stability performance,making vehicle motion control a vital technology in vehicles.This paper focuses on investigating the impact of roll control on vehicle performance,part...; 关键词：Active suspensions lateral stability polynomial control rollover avoidance SOS approach

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