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Volumn 12, Issue 2, 1996, Pages 347-368

Variable stepsize continuous two-step Runge-Kutta methods for ordinary differential equations

Author keywords

Continuous two step Runge Kutta method; Convergence; Order and stage order

Indexed keywords


EID: 21344471075     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02142812     Document Type: Article
Times cited : (39)

References (10)
  • 1
    • 1542639631 scopus 로고
    • Numerical treatment of ODEs: The theory of A-methods
    • P. Albrecht, Numerical treatment of ODEs: the theory of A-methods, Numer. Math. 47 (1985) 59-87.
    • (1985) Numer. Math. , vol.47 , pp. 59-87
    • Albrecht, P.1
  • 2
    • 0023329035 scopus 로고
    • A new theoretical approach to Runge-Kutta methods
    • P. Albrecht, A new theoretical approach to Runge-Kutta methods, SIAM J. Numer. Anal. 24 (1987) 391-406.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 391-406
    • Albrecht, P.1
  • 3
    • 38249022137 scopus 로고
    • Elements of a general theory of composite integration methods
    • P. Albrecht, Elements of a general theory of composite integration methods, Appl. Math. Comp. 31 (1989) 1-17.
    • (1989) Appl. Math. Comp. , vol.31 , pp. 1-17
    • Albrecht, P.1
  • 4
    • 38249003919 scopus 로고
    • Diagonally implicit multi-stage integration methods
    • J.C. Butcher, Diagonally implicit multi-stage integration methods, Appl. Numer. Math. 11 (1993) 347-363.
    • (1993) Appl. Numer. Math. , vol.11 , pp. 347-363
    • Butcher, J.C.1
  • 5
    • 0016116502 scopus 로고
    • The effect of variable mesh size on the stability of multistep methods
    • C.W. Gear, The effect of variable mesh size on the stability of multistep methods, SIAM J. Numer. Anal. 11 (1974) 1025-1043.
    • (1974) SIAM J. Numer. Anal. , vol.11 , pp. 1025-1043
    • Gear, C.W.1
  • 7
    • 0005340479 scopus 로고
    • Explicit two-step Runge-Kutta methods
    • Z. Jackiewicz, R. Renaut and M. Zennaro, Explicit two-step Runge-Kutta methods, Appl. Math. 40 (1995) 433-456.
    • (1995) Appl. Math. , vol.40 , pp. 433-456
    • Jackiewicz, Z.1    Renaut, R.2    Zennaro, M.3
  • 8
    • 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
  • 9
    • 84968518141 scopus 로고
    • Variable-stepsize explicit two-step Runge-Kutta methods
    • Z. Jackiewicz and M. Zennaro, Variable-stepsize explicit two-step Runge-Kutta methods, Math. Comp. 59 (1992) 421-438.
    • (1992) Math. Comp. , vol.59 , pp. 421-438
    • Jackiewicz, Z.1    Zennaro, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.