메뉴 건너뛰기




Volumn 191, Issue 13-14, 2002, Pages 1311-1331

Stability and accuracy of differential quadrature method in solving dynamic problems

Author keywords

Higher order algorithms; Influence of sampling grid points; Modified differential quadrature rules; Stability of time step integration algorithms; Unconditionally stable time step integration algorithms

Indexed keywords

ALGORITHMS; NUMERICAL ANALYSIS; ORDINARY DIFFERENTIAL EQUATIONS; SAMPLING;

EID: 0037127131     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(01)00324-3     Document Type: Article
Times cited : (70)

References (36)
  • 6
    • 0033317747 scopus 로고    scopus 로고
    • A differential quadrature as a numerical method to solve differential equations
    • (1999) Comput. Mech , vol.24 , pp. 197-205
    • Wu, T.Y.1    Liu, G.R.2
  • 7
    • 0033704742 scopus 로고    scopus 로고
    • The generalized differential quadrature rule for initial-value differential equations
    • (2000) J. Sound Vib , vol.233 , pp. 195-213
    • Wu, T.Y.1    Liu, G.R.2
  • 8
    • 0035961280 scopus 로고    scopus 로고
    • Solving initial value problems by differential quadrature method - Part 2: Second- and higher-order algorithms
    • (2001) Int. J. Numer. Meth. Engrg , vol.50 , pp. 1429-1454
    • Fung, T.C.1
  • 9
    • 0027576566 scopus 로고
    • A new approach in applying differential quadrature to static and free vibrational analysis of beams and plates
    • (1993) J. Sound Vib , vol.162 , pp. 566-572
    • Wang, X.1    Bert, C.W.2
  • 12
    • 0031104540 scopus 로고    scopus 로고
    • Generalized approach for implementing general boundary conditions in the GDQ free vibration analysis of plates
    • (1997) Int. J. Solids Struct , vol.34 , pp. 837-846
    • Shu, C.1    Du, H.2
  • 20
    • 0034316245 scopus 로고    scopus 로고
    • Numerical solution for differential equations of Duffing-type nonlinearity using the generalized differential quadrature rule
    • (2000) J. Sound Vib , vol.237 , pp. 805-817
    • Liu, G.R.1    Wu, T.Y.2
  • 28
    • 0031208868 scopus 로고    scopus 로고
    • Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods
    • (1997) Math. Comput. Modelling , vol.26 , pp. 13-34
    • Bellomo, N.1
  • 32
    • 0035909368 scopus 로고    scopus 로고
    • Unconditionally stable collocation algorithms for second-order initial value problems
    • to appear
    • J. Sound Vib
    • Fung, T.C.1
  • 36
    • 0001657536 scopus 로고    scopus 로고
    • On the A-stability of Runge-Kutta collocation methods based on orthogonal polynomials
    • (1999) SIAM J. Numer. Anal , vol.36 , pp. 1291-1303
    • Barrio, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.