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Volumn 185, Issue 2, 2006, Pages 292-307

Starting methods for two-step Runge-Kutta methods of stage-order 3 and order 6

Author keywords

Implementation; Order conditions; Order reduction; Starting methods; Two step Runge Kutta methods

Indexed keywords

PERTURBATION TECHNIQUES; PRODUCTION;

EID: 25144507510     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.03.012     Document Type: Conference Paper
Times cited : (8)

References (10)
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    • Albrecht, P.1
  • 2
    • 0003019535 scopus 로고
    • The effective order of Runge-Kutta methods
    • Conference on the Numerical Solution of Differential Equations, Dundee Springer, Berlin
    • J. Butcher, The effective order of Runge-Kutta methods, Conference on the Numerical Solution of Differential Equations, Dundee, Lecture Notes in Mathematics, vol. 109, Springer, Berlin, 1969, pp. 133-139.
    • (1969) Lecture Notes in Mathematics , vol.109 , pp. 133-139
    • Butcher, J.1
  • 3
    • 0005297545 scopus 로고    scopus 로고
    • Order conditions for general two-step Runge-Kutta methods
    • E. Hairer, and G. Wanner Order conditions for general two-step Runge-Kutta methods SIAM J. Numer. Anal. 34 1997 2087 2089
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 2087-2089
    • Hairer, E.1    Wanner, G.2
  • 5
    • 0001164459 scopus 로고
    • A general class of two-step Runge-Kutta methods for ordinary differential equations
    • Z. Jackiewicz, and S. Tracogna A general class of two-step Runge-Kutta methods for ordinary differential equations SIAM J. Numer. Anal. 32 1995 1390 1427
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 1390-1427
    • Jackiewicz, Z.1    Tracogna, S.2
  • 6
    • 0042840802 scopus 로고    scopus 로고
    • Derivation and implementation of two-step Runge-Kutta pairs
    • Z. Jackiewicz, and J.H. Verner Derivation and implementation of two-step Runge-Kutta pairs Japan JIAM 19 2002 227 248
    • (2002) Japan JIAM , vol.19 , pp. 227-248
    • Jackiewicz, Z.1    Verner, J.H.2
  • 7
    • 49149135749 scopus 로고
    • High order embedded Runge-Kutta formulae
    • P.J. Prince, and J.R. Dormand High order embedded Runge-Kutta formulae J. Comp. Appl. Math. 7 1981 67 75
    • (1981) J. Comp. Appl. Math. , vol.7 , pp. 67-75
    • Prince, P.J.1    Dormand, J.R.2
  • 8
    • 0028483750 scopus 로고
    • Completely imbedded Runge-Kutta pairs
    • P.W. Sharp, and J.H. Verner Completely imbedded Runge-Kutta pairs SIAM J. Numer. Anal. 31 1994 1169 1190
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1169-1190
    • Sharp, P.W.1    Verner, J.H.2
  • 9
    • 0005292548 scopus 로고    scopus 로고
    • Two-step Runge-Kutta methods. Theory and practice
    • S. Tracogna, and B. Welfert Two-step Runge-Kutta methods. Theory and practice BIT 40 2000 775 799
    • (2000) BIT , vol.40 , pp. 775-799
    • Tracogna, S.1    Welfert, B.2
  • 10
    • 0000468784 scopus 로고
    • Explicit Runge-Kutta methods with estimates of the local truncation error
    • J.H. Verner Explicit Runge-Kutta methods with estimates of the local truncation error SIAM J. Numer. Anal. 15 1978 772 790
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 772-790
    • Verner, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.