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Volumn 56, Issue 3-4 SPEC. ISS., 2006, Pages 388-396

Improved starting methods for two-step Runge-Kutta methods of stage-order p - 3

Author keywords

Implementation; Local error estimation; Order conditions; Starting methods; Two step Runge Kutta methods

Indexed keywords

ERROR ANALYSIS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; NUMERICAL METHODS; POLYNOMIALS; PROBLEM SOLVING;

EID: 33644619168     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2005.04.028     Document Type: Article
Times cited : (7)

References (7)
  • 1
    • 0003019535 scopus 로고
    • The effective order of Runge-Kutta methods
    • Conf. on the Numerical Solution of Differential Equations, Dundee, 1969, Springer Berlin
    • J.C. Butcher The effective order of Runge-Kutta methods Conf. on the Numerical Solution of Differential Equations, Dundee, 1969 Lecture Notes in Mathematics vol. 109 1969 Springer Berlin 133 139
    • (1969) Lecture Notes in Mathematics , vol.109 , pp. 133-139
    • Butcher, J.C.1
  • 2
    • 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
  • 4
    • 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
  • 5
    • 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
  • 6
    • 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
  • 7
    • 25144507510 scopus 로고    scopus 로고
    • Starting methods for two-step Runge-Kutta methods of stage-order 3 and order 6
    • in press
    • J.H. Verner, Starting methods for two-step Runge-Kutta methods of stage-order 3 and order 6, J. Comput. Appl. Math., in press
    • J. Comput. Appl. Math.
    • Verner, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.