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Volumn 89, Issue 1, 1998, Pages 115-118

A two-stage fourth-order "almost" P-stable method for oscillatory problems

Author keywords

Oscillating solutions; P stability; Second order initial value problem; Simpson's rule; Trapezoidal rule

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL METHODS; ERROR ANALYSIS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 0032498770     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00232-X     Document Type: Article
Times cited : (55)

References (8)
  • 3
    • 0000932450 scopus 로고
    • Unconditionally stable methods for second order differential equations
    • [3] E. Hairer, Unconditionally stable methods for second order differential equations, Numer. Math. 32 (1979) 373-379.
    • (1979) Numer. Math. , vol.32 , pp. 373-379
    • Hairer, E.1
  • 4
    • 77958409581 scopus 로고
    • Symmetric multistep methods for periodic initial value problems
    • [4] J.D. Lambert, I.A. Watson, Symmetric multistep methods for periodic initial value problems, J. Inst. Math. Appl. 18 (1976) 189-202.
    • (1976) J. Inst. Math. Appl. , vol.18 , pp. 189-202
    • Lambert, J.D.1    Watson, I.A.2
  • 6
    • 0000656091 scopus 로고
    • Two-stage and three-stage diagonally implicit Runge-Kutta-Nystrom methods of orders three and four
    • [6] P.W. Sharp, J.M. Fine, K. Burrage, Two-stage and three-stage diagonally implicit Runge-Kutta-Nystrom methods of orders three and four, IMA J. Numer. Anal. 10 (1990) 489-504.
    • (1990) IMA J. Numer. Anal. , vol.10 , pp. 489-504
    • Sharp, P.W.1    Fine, J.M.2    Burrage, K.3
  • 7
    • 38249033341 scopus 로고
    • A note on a diagonally implicit Runge-Kutta-Nystrom method
    • [7] B.P. Sommeijer, A note on a diagonally implicit Runge-Kutta-Nystrom method, J. Comput. Appl. Math. 19 (1987) 395-399.
    • (1987) J. Comput. Appl. Math. , vol.19 , pp. 395-399
    • Sommeijer, B.P.1
  • 8
    • 0023366337 scopus 로고
    • Explicit Runge-Kutta-Nystrom methods with reduced phase errors for computing oscillating solutions
    • [8] P.J. Van der Houwen, B.P. Sommeijer, Explicit Runge-Kutta-Nystrom methods with reduced phase errors for computing oscillating solutions, SIAM J. Numer. Anal. 24 (1987) 595-617.
    • (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.