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Volumn 26, Issue 4, 2001, Pages 347-363

Four-stage symplectic and P-stable SDIRKN methods with dispersion of high order

Author keywords

Dispersion error; P stability and symplectic methods; Periodic stiff problems; SDIRKN methods

Indexed keywords


EID: 0035611605     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1016629706668     Document Type: Article
Times cited : (27)

References (11)
  • 1
    • 0019010803 scopus 로고
    • A one-step method for direct integration of structural dynamic equations
    • L. Brusa and L. Nigro, A one-step method for direct integration of structural dynamic equations, Internat. J. Numer. Methods Engrg. 15 (1980) 685-699.
    • (1980) Internat. J. Numer. Methods Engrg. , vol.15 , pp. 685-699
    • Brusa, L.1    Nigro, L.2
  • 2
    • 0008754013 scopus 로고
    • High order, P-stable formulae for the numerical integration of periodic initial value problems
    • J.R. Cash, High order, P-stable formulae for the numerical integration of periodic initial value problems, Numer. Math. 37 (1981) 355-370.
    • (1981) Numer. Math. , vol.37 , pp. 355-370
    • Cash, J.R.1
  • 3
    • 0022789944 scopus 로고
    • Two-step fourth order P-stable methods with phase-lag of order six for y″ = f(t, y)
    • M.M. Chawla, P.S. Rao and B. Neta, Two-step fourth order P-stable methods with phase-lag of order six for y″ = f(t, y), J. Comput. Appl. Math. 16 (1986) 233-236.
    • (1986) J. Comput. Appl. Math. , vol.16 , pp. 233-236
    • Chawla, M.M.1    Rao, P.S.2    Neta, B.3
  • 4
    • 0031559378 scopus 로고    scopus 로고
    • SDIRK methods for stiff ODEs with oscillating solutions
    • J.M. Franco, I. Gómez and L. Rández, SDIRK methods for stiff ODEs with oscillating solutions, J. Comput. Appl. Math. 81 (1997) 197-209.
    • (1997) J. Comput. Appl. Math. , vol.81 , pp. 197-209
    • Franco, J.M.1    Gómez, I.2    Rández, L.3
  • 5
    • 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. Appl. 18 (1976) 189-202.
    • (1976) J. Inst. Math. Appl. , vol.18 , pp. 189-202
    • Lambert, J.D.1    Watson, I.A.2
  • 7
    • 0000656091 scopus 로고
    • Two-stage and three-stage diagonally implicit Runge-Kutta-Nyström methods of orders three and four
    • P.W. Sharp, J.M. Fine and K. Burrage, Two-stage and three-stage diagonally implicit Runge-Kutta-Nyström 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
  • 8
    • 0021316047 scopus 로고
    • Phase properties of high-order, almost P-stable formulae
    • R.M. Thomas, Phase properties of high-order, almost P-stable formulae, BIT 24 (1984) 225-238.
    • (1984) BIT , vol.24 , pp. 225-238
    • Thomas, R.M.1
  • 9
    • 0023366337 scopus 로고
    • Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions
    • P.J. Van der Houwen and B.P. Sommeijer, Explicit Runge-Kutta (-Nyström) 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
  • 10
    • 0001076672 scopus 로고
    • Phase-lag analysis of implicit Runge-Kutta methods
    • P.J. Van der Houwen and B.P. Sommeijer, Phase-lag analysis of implicit Runge-Kutta methods, SIAM J. Numer. Anal. 26 (1989) 214-229.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 214-229
    • Van Der Houwen, P.J.1    Sommeijer, B.P.2
  • 11
    • 0000688555 scopus 로고
    • Diagonally implicit Runge-Kutta-Nyström methods for oscillatory problems
    • P.J. Van der Houwen and B.P. Sommeijer, Diagonally implicit Runge-Kutta-Nyström methods for oscillatory problems, SIAM J. Numer. Anal. 26 (1989) 414-429.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 414-429
    • Van Der Houwen, P.J.1    Sommeijer, B.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.