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Volumn 24, Issue 1, 1998, Pages 13-29

Generation of High-Order Interpolants for Explicit Runge-Kutta Pairs

Author keywords

Algorithms; Explicit; G.1.7 Numerical Analysis : Ordinary Differential Equations; Generation; High order; Interpolants; Pairs; Runge Kutta

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; INTERPOLATION;

EID: 0032010599     PISSN: 00983500     EISSN: None     Source Type: Journal    
DOI: 10.1145/285861.285863     Document Type: Article
Times cited : (5)

References (16)
  • 2
    • 0025208499 scopus 로고
    • A fifth-order interpolant for the Dornand and Prince Runge-Kutta method
    • Jan.
    • CALVO, M., MONTIJANO, J. I., AND RÁNDEZ, L. 1990. A fifth-order interpolant for the Dornand and Prince Runge-Kutta method. J. Comput. Appl. Math. 29, 1 (Jan.), 91-100.
    • (1990) J. Comput. Appl. Math. , vol.29 , Issue.1 , pp. 91-100
    • Calvo, M.1    Montijano, J.I.2    Rández, L.3
  • 5
    • 34250490894 scopus 로고
    • Klassische Runge-Kutta-formeln fünfter und siebenter ordnung mit schrittweiten-kontrolle
    • FEHLBERG, E. 1969. Klassische Runge-Kutta-formeln fünfter und siebenter ordnung mit schrittweiten-kontrolle. Computing 4, 93-106.
    • (1969) Computing , vol.4 , pp. 93-106
    • Fehlberg, E.1
  • 6
    • 0039638076 scopus 로고
    • Fourth and fifth-order, scaled Runge-Kutta algorithms for treating dense output
    • HORN, M. K. 1983. Fourth and fifth-order, scaled Runge-Kutta algorithms for treating dense output. SIAM J. Numer. Anal. 20, 558-568.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 558-568
    • Horn, M.K.1
  • 7
    • 84966199026 scopus 로고
    • Order barriers for continuous explicit Runge-Kutta methods
    • OWREN, B. AND ZENNARO, M. 1991. Order barriers for continuous explicit Runge-Kutta methods. Math. Comput. 56, 645-661.
    • (1991) Math. Comput. , vol.56 , pp. 645-661
    • Owren, B.1    Zennaro, M.2
  • 8
    • 0043242780 scopus 로고
    • Derivation of efficient, continuous, explicit Runge-Kutta methods
    • Nov.
    • OWREN, B. AND ZENNARO, M. 1992. Derivation of efficient, continuous, explicit Runge-Kutta methods. SIAM J. Sci. Stat. Comput. 13, 6 (Nov.), 1488-1501.
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , Issue.6 , pp. 1488-1501
    • Owren, B.1    Zennaro, M.2
  • 9
    • 49149135749 scopus 로고
    • High order embedded Runge-Kutta formulae
    • PRINCE, P. J. AND DORMAND, J. R. 1981. High order embedded Runge-Kutta formulae. J. Comput. Appl. Math. 7, 67-76.
    • (1981) J. Comput. Appl. Math. , vol.7 , pp. 67-76
    • Prince, P.J.1    Dorm, J.R.2
  • 10
    • 0022144651 scopus 로고
    • Interpolation for Runge-Kutta methods
    • SHAMPINE, L. F. 1985. Interpolation for Runge-Kutta methods. SIAM J. Numer. Anal. 22, 1014-1027.
    • (1985) SIAM J. Numer. Anal. , vol.22 , pp. 1014-1027
    • Shampine, L.F.1
  • 11
    • 84966237458 scopus 로고
    • Some practical Runge-Kutta formulas
    • Jan.
    • SHAMPINE, L. F. 1986. Some practical Runge-Kutta formulas. Math. Comput. 46, 173 (Jan.), 135-150.
    • (1986) Math. Comput. , vol.46 , Issue.173 , pp. 135-150
    • Shampine, L.F.1
  • 12
    • 0028483750 scopus 로고
    • Completely imbedded Runge-Kutta pairs. SIAM
    • Aug.
    • SHARP, P. W. AND VERNER, J. H. 1994. Completely imbedded Runge-Kutta pairs. SIAM J. Numer. Anal. 31, 4 (Aug.), 1169-1190.
    • (1994) J. Numer. Anal. , vol.31 , Issue.4 , pp. 1169-1190
    • Sharp, P.W.1    Verner, J.H.2
  • 13
    • 0000468784 scopus 로고
    • Explicit Runge-Kutta methods with estimates of the local truncation error
    • VERNER, J. H. 1978. Explicit Runge-Kutta methods with estimates of the local truncation error. SIAM J. Numer. Anal. 15, 772-790.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 772-790
    • Verner, J.H.1
  • 14
    • 0027683528 scopus 로고
    • Differentiable interpolants for high-order Runge-Kutta methods
    • Oct.
    • VERNER, J. H. 1993. Differentiable interpolants for high-order Runge-Kutta methods. SIAM J. Numer. Anal. 30, 5 (Oct.), 1446-1466.
    • (1993) SIAM J. Numer. Anal. , vol.30 , Issue.5 , pp. 1446-1466
    • Verner, J.H.1
  • 15
    • 0342616178 scopus 로고
    • Strategies for deriving new explicit Runge-Kutta pairs
    • VERNER, J. H. 1994. Strategies for deriving new explicit Runge-Kutta pairs. Ann. Num. Math. 1, 225-244.
    • (1994) Ann. Num. Math. , vol.1 , pp. 225-244
    • Verner, J.H.1
  • 16
    • 0030283684 scopus 로고    scopus 로고
    • High-order explicit Runge-Kutta pairs with low stage order
    • VERNER, J. H. 1996. High-order explicit Runge-Kutta pairs with low stage order. Appl. Numer. Math. 22, 345-357.
    • (1996) Appl. Numer. Math. , vol.22 , pp. 345-357
    • Verner, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.