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Volumn 90, Issue 2, 1998, Pages 239-261

Construction of starting algorithms for the RK-Gauss methods 1

Author keywords

Gauss methods; Hamiltonian systems; Implicit methods; Runge Kutta; Starting algorithms; Symplectic methods

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS;

EID: 0032046717     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00003-X     Document Type: Article
Times cited : (12)

References (16)
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  • 2
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    • Calvo, M.P.1    Sanz-Serna, J.M.2
  • 5
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    • The use of Butcher series in the analysis of Newton-like iterations in Runge-Kutta formulas
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    • (1994) Appl. Numer. Math. , vol.17 , pp. 341-356
    • Jackson, K.R.1    Kvaerno, A.2    Norsett, S.P.3
  • 6
    • 0000087072 scopus 로고    scopus 로고
    • An analysis of the order of Runge-Kutta methods that use an iterative scheme to compute their internal stage values
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    • (1996) BIT , vol.36 , pp. 713-765
    • Jackson, K.R.1    Kvaerno, A.2    Norsett, S.P.3
  • 7
    • 0031558498 scopus 로고    scopus 로고
    • Starting algorithms for IRK methods
    • to appear
    • [7] M.P. Laburta, Starting algorithms for IRK methods, J. Comput. Appl. Math., to appear.
    • J. Comput. Appl. Math.
    • Laburta, M.P.1
  • 8
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    • Explicit canonical methods for Hamiltonian systems
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    • (1992) Math. Comput. , vol.59 , pp. 439-455
    • Okunbor, D.1    Skeel, R.D.2
  • 9
    • 0001066735 scopus 로고
    • Canonical Runge-Kutta-Nyström methods of orders five and six
    • [9] D. Okunbor, R.D. Skeel, Canonical Runge-Kutta-Nyström methods of orders five and six, J. Comput. Appl. Math. 51 (1994) 375-382.
    • (1994) J. Comput. Appl. Math. , vol.51 , pp. 375-382
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  • 11
    • 0038976122 scopus 로고
    • Runge-Kutta schemes for Hamiltonian systems
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  • 12
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  • 14
    • 0001368461 scopus 로고
    • On the error committed by stopping the Newton iteration in implicit Runge-Kutta methods
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  • 16
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.