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Volumn 56, Issue 13, 2003, Pages 1883-1912

A methodology for the generation of low-cost higher-order methods for linear dynamics

Author keywords

Collocation methods; Controllable dissipation; Higher order methods; Norsett approximants; Pad approximants; Structural dynamics

Indexed keywords

ALGORITHMS; ITERATIVE METHODS; NUMERICAL METHODS;

EID: 0037424950     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.637     Document Type: Article
Times cited : (21)

References (18)
  • 2
    • 0027610365 scopus 로고
    • High-order integration of smooth dynamical systems: Theory and numerical experiments
    • Austin M. High-order integration of smooth dynamical systems: theory and numerical experiments. International Journal for Numerical Methods in Engineering 1993; 36:2107-2122.
    • (1993) International Journal for Numerical Methods in Engineering , vol.36 , pp. 2107-2122
    • Austin, M.1
  • 7
    • 0027610910 scopus 로고
    • A time integration algorithm for structural dynamics with improved numerical dissipation: The generalized-x method
    • ASME
    • Chung J. Hulbert GM. A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-x method. Journal of Applied Mechanics (ASME) 1993: 60:371-375.
    • (1993) Journal of Applied Mechanics , vol.60 , pp. 371-375
    • Chung, J.1    Hulbert, G.M.2
  • 8
    • 0001521109 scopus 로고    scopus 로고
    • Weighting parameters for unconditionally stable higher-order accurate time step integration algorithms. Part 1 - First-order equations
    • Fung TC. Weighting parameters for unconditionally stable higher-order accurate time step integration algorithms. Part 1-first-order equations. International Journal for Numerical Methods in Engineering 1999: 45:941-970.
    • (1999) International Journal for Numerical Methods in Engineering , vol.45 , pp. 941-970
    • Fung, T.C.1
  • 9
    • 0001521105 scopus 로고    scopus 로고
    • Weighting parameters for unconditionally stable higher-order accurate time step integration algorithms. Part 2 - Second-order equations
    • Fung TC. Weighting parameters for unconditionally stable higher-order accurate time step integration algorithms. Part 2-second-order equations. International Journal for Numerical Methods in Engineering 1999: 45: 971-1006.
    • (1999) International Journal for Numerical Methods in Engineering , vol.45 , pp. 971-1006
    • Fung, T.C.1
  • 17
    • 84952130600 scopus 로고
    • Collocation, dissipation and 'overshoot' for time integration schemes in structural dynamics
    • Hilber HM, Hughes TJR. Collocation, dissipation and 'overshoot' for time integration schemes in structural dynamics. Earthquake Engineering and Structural Dynamics 1978; 6:99-117.
    • (1978) Earthquake Engineering and Structural Dynamics , vol.6 , pp. 99-117
    • Hilber, H.M.1    Hughes, T.J.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.