메뉴 건너뛰기




Volumn 29, Issue 2, 1999, Pages 63-72

Singly-implicit stabilized extended one-step methods for second-order initial-value problems with oscillating solutions

Author keywords

Extended one step methods; Newmark method; Oscillating solutions; P stability; Second order initial value problems; Singly implicit

Indexed keywords


EID: 0033037681     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(99)00019-9     Document Type: Article
Times cited : (53)

References (8)
  • 2
    • 0000932450 scopus 로고
    • Unconditionally stable methods for second-order differential equations
    • E. Hairer, Unconditionally stable methods for second-order differential equations, Numer. Math. 32, 373-379, (1979).
    • (1979) Numer. Math. , vol.32 , pp. 373-379
    • Hairer, E.1
  • 3
    • 0000656091 scopus 로고
    • Two-stage and three-stage diagonally implicit Runge-Kutta Nystrom methods of orders three and four
    • P.W. Sharp, J.M. Fine and K. Burrage, Two-stage and three-stage diagonally implicit Runge-Kutta Nystrom methods of orders three and four, IMA J. Numer. Anal. 10, 489-504, (1990).
    • (1990) IMA J. Numer. Anal. , vol.10 , pp. 489-504
    • Sharp, P.W.1    Fine, J.M.2    Burrage, K.3
  • 4
    • 0022247743 scopus 로고
    • An a-stable extended trapezoidal rule for the numerical integration of ordinary differential equations
    • R.A. Usmani and R.P. Agarwal, An a-stable extended trapezoidal rule for the numerical integration of ordinary differential equations, Computers Math. Applic. 11 (12), 1183-1191, (1985).
    • (1985) Computers Math. Applic. , vol.11 , Issue.12 , pp. 1183-1191
    • Usmani, R.A.1    Agarwal, R.P.2
  • 5
    • 0029309851 scopus 로고
    • A class of stabilized extended one-step methods for the numerical solution of ODEs
    • M.M. Chawla, M.A. Al-Zanaidi and M.S. Al-Sahhar, A class of stabilized extended one-step methods for the numerical solution of ODEs, Computers Math. Applic. 29 (10), 79-84, (1995).
    • (1995) Computers Math. Applic. , vol.29 , Issue.10 , pp. 79-84
    • Chawla, M.M.1    Al-Zanaidi, M.A.2    Al-Sahhar, M.S.3
  • 6
    • 77958409581 scopus 로고
    • Symmetric multistep methods for periodic initial value problems
    • J.D. Lambert and I.A. Watson, Symmetric multistep methods for periodic initial value problems, J. Inst. Math. Applic. 18, 189-202, (1976).
    • (1976) J. Inst. Math. Applic. , vol.18 , pp. 189-202
    • Lambert, J.D.1    Watson, I.A.2
  • 7
    • 0023366337 scopus 로고
    • Explicit Runge-Kutta(-Nystrom) methods with reduced phase errors for computing oscillating solutions
    • P.J. Van der Houwen and B.P. Sommeijer, Explicit Runge-Kutta(-Nystrom) methods with reduced phase errors for computing oscillating solutions, SIAM J. Numer. Anal. 24, 595-617, (1987).
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 595-617
    • Van der Houwen, P.J.1    Sommeijer, B.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.