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Volumn 22, Issue 1-3 SPEC. ISS., 1996, Pages 51-62

Continuous approximation with embedded Runge-Kutta methods

Author keywords

Continuous extensions; Dense output; Global error; Ordinary differential equations; Runge Kutta pairs

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; ERROR ANALYSIS;

EID: 0030289789     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0168-9274(96)00025-6     Document Type: Article
Times cited : (17)

References (16)
  • 1
    • 0039179843 scopus 로고
    • Coefficients for the study of Runge-Kutta integration processes
    • J.C. Butcher, Coefficients for the study of Runge-Kutta integration processes, J. Austral. Math. Soc. 3 (1963) 185-201.
    • (1963) J. Austral. Math. Soc. , vol.3 , pp. 185-201
    • Butcher, J.C.1
  • 2
    • 0025208499 scopus 로고
    • A fifth-order interpolant for the Dormand and Prince Runge-Kutta method
    • M. Calvo, J.I. Montijano and L. Randez, A fifth-order interpolant for the Dormand and Prince Runge-Kutta method, J. Comput. Appl. Math. 29 (1990) 91-100.
    • (1990) J. Comput. Appl. Math. , vol.29 , pp. 91-100
    • Calvo, M.1    Montijano, J.I.2    Randez, L.3
  • 6
    • 0018991720 scopus 로고
    • A family of embedded Runge-Kutta formulae
    • J.R. Dormand and P.J. Prince, A family of embedded Runge-Kutta formulae, J. Comput. Appl. Math. 6 (1980) 19-26.
    • (1980) J. Comput. Appl. Math. , vol.6 , pp. 19-26
    • Dormand, J.R.1    Prince, P.J.2
  • 12
    • 84966199026 scopus 로고
    • Order barriers for continuous explicit Runge-Kutta methods
    • B. Owren and M. Zennaro, Order barriers for continuous explicit Runge-Kutta methods, Math. Comp. 56 (1991) 645-661.
    • (1991) Math. Comp. , vol.56 , pp. 645-661
    • Owren, B.1    Zennaro, M.2
  • 13
    • 0043242780 scopus 로고
    • Deriviation of efficient continuous explicit Runge-Kutta methods
    • B. Owren and M. Zennaro, Deriviation of efficient continuous explicit Runge-Kutta methods, SIAM J. Sd. Statist. Comput. 13 (1992) 1488-1501.
    • (1992) SIAM J. Sd. Statist. Comput. , vol.13 , pp. 1488-1501
    • Owren, B.1    Zennaro, M.2
  • 14
  • 15
    • 84966237458 scopus 로고
    • Some practical Runge-Kutta formulas
    • L.F. Shampine, Some practical Runge-Kutta formulas, Math. Comp. 46 (1986) 135-150.
    • (1986) Math. Comp. , vol.46 , pp. 135-150
    • Shampine, L.F.1
  • 16
    • 0027683528 scopus 로고
    • Differentiable interpolants for high-order Runge-Kutta methods
    • J.H. Verner, Differentiable interpolants for high-order Runge-Kutta methods, SIAM J. Numer. Anal. 30 (1993) 1446-1466.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 1446-1466
    • Verner, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.