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《计算结构力学及其应用》 1995-03
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Subdomain Precise integration method and numerical solution of partial differential equations

Zhong Wanxie(Dalian University of Technology,Dalian,116023,P.R. China)  
For the semi-analytical method derived equations from the PDEs,the precise integrationmethod can find the highly precise solution,however,it is troublesome when the matrix sizebecomes larger,The usual finite difference method can be executed with a narrow band-width,but faces the problems of numerical stability and precision,Therefore the subdomainprecise integration method is proposed in this paper,it takes both the merits of numericalhigh precision in the subdomain and narrow bandwidth of the matrix. Numerical results showthe benefit of the present methodology.
【Fund】: 国家自然科学基金与英国皇家学会联合资助项目
【CateGory Index】: O241.82
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Chinese Journal Full-text Database 9 Hits
1 GAO Qiang;TAN ShuJun;ZHONG WanXie;State Key Laboratory of Structural Analysis for Industrial Equipment;Department of Engineering Mechanics,Dalian University of Technology;School of Aeronautics and Astronautics,Dalian University of Technology;;A survey of the precise integration method[J];中国科学:技术科学;2016-12
2 Gao Shuai;Yin Yong;Sun Xiaofeng;Shen Helong;Navigation College, Dalian Maritime University;;Precise Integration Method Application in Dynamic Simulation of Wrap[J];系统仿真学报;2015-10
3 WU Feng;XU Xiao-ming;ZHONG Wan-xie;State Key Laboratory of Structural Analysis of Industrial Equipment,Department of Engineering Mechanics,Dalian University of Technology;;Fast Fourier transform method for generalized eigenvalue problems[J];振动与冲击;2014-22
4 DU Xian-ting;XIA He;LI Hui-le;CUI Kun-peng;School of Civil Engineering,Beijing Jiaotong University;;DYNAMIC ANALYSIS FRAMEWORK OF TRAIN-BRIDGE SYSTEM BASED ON IMPROVED GAUSS PRECISE INTEGRATION METHOD[J];工程力学;2013-09
5 GU Bin;WEN Wei-bin;JIAN Kai-lin;School of Architecture and Civil Engineering ,Xihua University;College of Resources and Environmental Science,Chongqing University;;A New Step-by-step Integration Method Based ON Uniform Qunitic B-spline Interpolation for Dynamic Response[J];西华大学学报(自然科学版);2013-05
6 LI Wei-hua,WANG Yu,LUO En(Department of Applied Mechanics and Engineering,Sun Yat-sen University,Guangzhou 510275,China);Cubic spline symplectic algorithm for dynamic analysis of space truss structure[J];振动与冲击;2013-15
7 DU Xian-ting,XIA He,ZHANG Tian,TIAN Yuan,CAO Yan-mei(School of Civil Engineering,Beijing Jiaotong University,Beijing 100044,China);Non-iterative solving algorithm for coupled vibration of a train-bridge system based on precise Runge-Kutta hybrid integration method[J];振动与冲击;2013-13
8 ZHANG Xiaozhi,CAO Ling,LIU Longjiang(School of Architecture Engineering,Northeast Dianli University,Jilin 132012,China);Research on behavior of an explicit integration method by numerical simulation[J];地震工程与工程振动;2012-05
9 Lei Qingguan1,2 Chen Dong2 Wang Jianguo1 Zhang Hongya1,2(1.Hefei University of Technology,Hefei,Anhui 230009,China; 2.Anhui University of Architecture,Hefei,Anhui 230022,China);ANALYSIS OF TIME HISTORY RESPONSES OF STRUCTURES DURING EARTHQUAKES BASED ON WILSON-θ PRECISE INTEGRATION METHOD[J];工业建筑;2012-07
Chinese Journal Full-text Database 10 Hits
1 TAN Shu-jun;ZHOU Wen-ya;WU Zhi-gang;School of Aeronautics and Astronautics,Dalian University of Technology;State Key Laboratory of Structural Analysis for Industrial Equipment(Dalian University of Technology);;An Extended Precise Integration Method for Solving Inhomogeneous Two-Point Boundary Value Problems of Linear Time-Invariant Systems[J];应用数学和力学;2015-11
2 Zhang Jifeng;Deng Zichen;Xu Fangnuan;Zhang Kai;School of Mechanics,Civil Engineering & Architecture,Northwestern Polytechnical University;State Key Laboratory of Structural Analysis of Industrial Equipment,Dalian University of Technology;;ANEW IMPROVED PRECISE DIRECT INTEGRATION METHOD[J];动力学与控制学报;2015-04
3 ZHANG Guang-fa;ZHANG Ya;ZHAO Xue-wei;LU Cong-hong;College of Navigation and Ship Engineering,Dalian Ocean University;Zhangzidao Group Co.Ltd.;School of Naval Architecture Engineering,Dalian University of Technology;;Technical and economical evaluation and optimization of ship form for large middle-water layer trawlers[J];大连海洋大学学报;2014-03
4 WU Ze-yan;WANG Li-feng;WU Zhe;School of Aerospace,Tsinghua University;School of Aeronautic Science and Technology,Beihang University;;Fast algorithm for precise integration with high accuracy dimension expanding method with for large- scale dynamic systems[J];振动与冲击;2014-02
5 ZHANG Jing-shu;YU Hong-jie;HONG Jia-zhen;Department of Engineering Mechanics,Shanghai Jiaotong University;;Nonlinear Interpolation Precise Integration Method in Rigid-Flexible Coupling Spring Pendulum[J];力学季刊;2013-03
6 Feng WU , Qiang GAO , Wan-xie ZHONG (State Key Laboratory of Structural Analysis of Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116023, Liaoning Province, P. R. China);Fast precise integration method for hyperbolic heat conduction problems[J];Applied Mathematics and Mechanics(English Edition);2013-07
7 LI Xiu-mei1,WU Feng2,ZHANG Ke-shi1(1.School of Civil and Architecture Engineering,Guangxi University,Nanning 530004,China;2.Department of Engineering Mechanics,Dalian University of Technology,Dalian 116023,China);A HIGH-PRECISION PERTURBATION SOLUTION FOR STRUCTURAL DYNAMIC DIFFERENTIAL EQUATIONS[J];工程力学;2013-05
8 MIAO Haochun 1,2,MA Qinghua 2,DONG Guocai 2,CHENG Dong 2(1.School of Astronautics,Northwestern Polytechnical University,Xi'an 710072,China;2.No.203 Research Institute of China Ordnance Industries,Xi'an 710065,China);Optimal Integrated Guidance and Control of Anti-tank Missiles[J];系统仿真技术;2013-01
9 Qiang GAO 1,Shu-jun TAN 2,Wan-xie ZHONG 1,Hong-wu ZHANG 1(1.State Key Laboratory of Structural Analysis for Industrial Equipment,Department of Engineering Mechanics,Faculty of Vehicle Engineering and Mechanics,Dalian University of Technology,Dalian 116024,Liaoning Province,P.R.China;2.School of Aeronautics and Astronautics,Dalian University of Technology,Dalian 116024,Liaoning Province,P.R.China);Improved precise integration method for differential Riccati equation[J];Applied Mathematics and Mechanics(English Edition);2013-01
10 FANG Hong-yuan1,2,LIN Gao1,2,ZHANG Bei3 1.School of Civil Engineering,Faculty of Infrastructure Engineering,Dalian University of Technology,Dalian 116024,China; 2.State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian 116024,China; 3.School of Hydraulic and Environment,Zhengzhou University,Zhengzhou 450002,China;Precise integration method for calculation of reflection and transmission of electromagnetic waves in layered lossy medium[J];大连理工大学学报;2012-05
【Secondary References】
Chinese Journal Full-text Database 9 Hits
1 GUI Shuirong;WAN Shui;CHEN Shuisheng;School of Transportation,Southeast University;Department of Civil Engineering,East China Jiaotong University;;Selection of Duhamel Term′s Iterative Algorithm for Vehicle Bridge Coupling Vibration Model Based on Precise Intergration Method[J];振动.测试与诊断;2017-05
3 WEI Kai;ZHANG Pan;WANG Ping;Key Laboratory of High-speed Railway Engineering,Ministry of Education;School of Civil Engineering,Southwest Jiaotong University;;INFLUENCE OF AMPLITUDE-AND FREQUENCY-DEPENDENT STIFFNESS OF RAIL PADS ON THE FREQUENCY-DOMAIN RANDOM VIBRATION OF VEHICLE-TRACK COUPLED SYSTEM[J];工程力学;2017-04
4 DU Xianting;QIAO Hong;XIA He;WANG Shaoqin;School of Civil Engineering,Beijing Jiaotong University;School of Science,Beijing University of Civil Engineering and Architecture;;Analytical solution to a sdof system and its application in dynamic analysis of a train-bridge system[J];振动与冲击;2017-07
5 Hei Di;Zheng Meiru;Department of Mechanical and Electrical Engineering,Shanxi Railway Institute;;Dynamics Analysis of Bearing-Rod Fastening Rotor System Based on Precise Integration Method[J];轴承;2017-04
6 ZHU Zhi-hui;WANG Li-dong;GONG Wei;YU Zhi-wu;CAI Cheng-biao;School of Civil Engineering,Central South Univ;National Engineering Laboratory for High Speed Railway Construction,Central South Univ;State Key Laboratory of Traction Power,Southwest Jiaotong Univ;;Study on Vertical Random Vibration of Train-bridge Coupled System Based on Improved Iteration Model[J];湖南大学学报(自然科学版);2016-11
7 ZHU Zhihui;GONG Wei;WANG Lidong;CAI Chengbiao;YU Zhiwu;School of Civil Engineering,Central South University;National Engineering Laboratory for High Speed Railway Construction;State Key Laboratory of Traction Power,Southwest Jiaotong University;;Influence of Solution Method for Dynamics Equation of Train-Track-Bridge Coupled System on Calculation Precision and Efficiency[J];中国铁道科学;2016-05
8 GUI Shui-rong;WAN Shui;CHEN Shui-sheng;School of Transportation,Southeast University;School of Civil Engineering and Architecture,East China Jiaotong University;;Precise Integration Method for Bridge Subjected to Moving Vehicle Load[J];建筑科学与工程学报;2016-02
9 GAO Mang-mang;ZANG Xiao-qiu;XIONG Jian-zhen;China Academy of Railway Sciences;;Study of Dynamic Performance of Large Movement Girder End Expansion Devices of Hutong Changjiang River Bridge[J];桥梁建设;2015-06
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