Open Access
MATEC Web of Conferences
Volume 42, 2016
2015 The 3rd International Conference on Control, Mechatronics and Automation (ICCMA 2015)
Article Number 05002
Number of page(s) 5
Section Applications of Computer and IT
Published online 17 February 2016
  1. Zhong Wanxie. On precise time-integration method for structural dynamics [j]. Journal of Dalian University of Technology, 2, (1994).
  2. Zhong Wanxie. Precise computation for transient analysis. Computational structural mechanics and applications, 12(1):1–6, (1995).
  3. Jiahao Lin, Weiping Shen, and FW Williams. A high precision direct integration scheme for structures subjected to transient dynamic loading. Computers & structures, 56(1):113–120, (1995). [CrossRef]
  4. Wang Y X Zhou G. A homogenized high precise direct integration based on taylor series. J Shanghai Jiaotong Univ, 35(1):1916–1919, (2001).
  5. Yuexian Wang, Xiaodong Tian, and Gang Zhou. Homogenized high precision direct integration scheme and its applications in engineering. Communications in numerical methods in engineering, 18(6):429–439, (2002). [CrossRef]
  6. Yuanxian Gu, Biaosong Chen, Hongwu Zhang, and Zhenqun Guan. Precise time-integration method with dimensional expanding for structural dynamic equations. AIAA journal, 39(12):2394–2399, (2001). [CrossRef]
  7. Gang Zhou Xiaohong Shi. A homogenized high precise direct integration based on legendre series. Chinese Journal of Computational Mechanics, 22(1):335–338, (2001).
  8. Gang Zhou Shaohua Fu. A homogenized high precise direct integration based on chebyshev series. Journal of Donghua University, 32(2):46–49, (2006).
  9. JH Argyris and DW Scharpf. Finite elements in time and space. Nuclear Engineering and Design, 10(4):456–464, (1969). [CrossRef]
  10. Wm H Reed and TR Hill. Triangularmesh methodsfor the neutrontransportequation. Los Alamos Report LA-UR-73–479, (1973).
  11. Bernardo Cockburn and Chi-Wang Shu. The local discontinuous galerkin method for timedependent convection-diffusion systems. SIAM Journal on Numerical Analysis, 35(6):2440–2463, (1998). [CrossRef] [MathSciNet]
  12. M Delfour, W Hager, and F Trochu. Discontinuous galerkin methods for ordinary differential equations. Mathematics of Computation, 36(154):455–473, (1981). [CrossRef]
  13. Shan Zhao and GW Wei. A unified discontinuous galerkin framework for time integration. Mathematical methods in the applied sciences, 37(7):1042–1071, (2014). [CrossRef]
  14. C-C Chien and T-Y Wu. An improved predictor/multi-corrector algorithm for a time-discontinuous galerkin finite element method in structural dynamics. Computational Mechanics, 25(5):430–437, (2000). [CrossRef]
  15. David Cohen, Ernst Hairer, and Ch Lubich. Numerical energy conservation for multi-frequency oscillatory differential equations. BIT Numerical Mathematics, 45(2):287–305, (2005). [CrossRef] [MathSciNet]
  16. Xiaomei Liu, Gang Zhou, Yonghong Wang, and Weirong Sun. Rectifying drifts of symplectic algorithm. Beijing University of Aeronautics and Astronautics, 39(1), (2013).
  17. Hans Van de Vyver. A symplectic runge–kutta–nystr¨om method with minimal phase-lag. Physics Letters A, 367(1):16–24, (2007). [CrossRef]
  18. Th Monovasilis, Z Kalogiratou, and Tom E Simos. Symplectic partitioned runge–kutta methods with minimal phase-lag. Computer Physics Communications, 181(7):1251–1254, (2010). [CrossRef]
  19. Qiong Tang, Chuan-miao Chen, and Luo-hua Liu. Energy conservation and symplectic properties of continuous finite element methods for hamiltonian systems. Applied mathematics and computation, 181(2):1357–1368, (2006). [CrossRef]
  20. Klaus-Jürgen Bathe and Gunwoo Noh. Insight into an implicit time integration scheme for structural dynamics. Computers & Structures, 98:1–6, (2012). [CrossRef]
  21. Nathan M Newmark. A method of computation for structural dynamics. Journal of the Engineering Mechanics Division, 85(3):67–94, (1959).
  22. Edward L Wilson. A computer program for the dynamic stress analysis of underground structures. Technical report, DTIC Document, (1968).