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Applications of Mathematics
Volumn 45, Issue 4, 2000, Pages 301-316
Order conditions for partitioned Runge-Kutta methods
Author keywords

Order conditions; Ordinary differential equation; Partitioned Runge Kutta method
Indexed keywords

EID: 0012148578     PISSN: 08627940     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022323529349     Document Type: Article
Times cited : (17)
References (11)
  • 1
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    • Abramowitz, M.1    Stegun, I.S.2
  • 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
    • 0009619039 scopus 로고    scopus 로고
    • The Runge-Kutta theory in a nutshell
    • P. Albrecht: The Runge-Kutta theory in a nutshell. SIAM J. Numer. Anal. 33 (1996), 1712-1735.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1712-1735
    • Albrecht, P.1
  • 4
    • 84966198465 scopus 로고
    • Runge-Kutta theory for Volterra integral equations of the second kind
    • H. Brunner, E. Hairer and S. P. Nørsett: Runge-Kutta theory for Volterra integral equations of the second kind. Math. Comp. 39 (1982), 147-163.
    • (1982) Math. Comp. , vol.39 , pp. 147-163
    • Brunner, H.1    Hairer, E.2    Nørsett, S.P.3
  • 5
    • 0040854929 scopus 로고
    • Gemischte Runge-Kutta-verfahren für steife systeme
    • Sekt. Math., Humboldt Univ. Berlin
    • E. Griepentrog: Gemischte Runge-Kutta-Verfahren für steife Systeme. In: Seminarbericht Nr. 11, Sekt. Math., Humboldt Univ. Berlin, 1978, pp. 19-29.
    • (1978) Seminarbericht Nr. 11 , vol.11 , pp. 19-29
    • Griepentrog, E.1
  • 6
    • 0001427533 scopus 로고
    • Order conditions for numerical methods for partitioned ordinary differential equations
    • E. Hairer: Order conditions for numerical methods for partitioned ordinary differential equations. Numer. Math. 36 (1981), 431-445.
    • (1981) Numer. Math. , vol.36 , pp. 431-445
    • Hairer, E.1
  • 8
    • 0001472260 scopus 로고    scopus 로고
    • General linear methods with external stages of different orders
    • Z. Jackiewicz, R. Vermiglio: General linear methods with external stages of different orders. BIT 36 (1996), 688-712.
    • (1996) BIT , vol.36 , pp. 688-712
    • Jackiewicz, Z.1    Vermiglio, R.2
  • 9
    • 0001164459 scopus 로고
    • A general class of two-step Runge-Kutta methods for ordinary differential equations
    • Z. Jackiewicz, 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
  • 10
    • 21344471075 scopus 로고    scopus 로고
    • Variable stepsize continuous two-step Runge-Kutta methods for ordinary differential equations
    • Z. Jackiewicz, S. Tracogna: Variable stepsize continuous two-step Runge-Kutta methods for ordinary differential equations. Numer. Algorithms 12 (1996), 347-368.
    • (1996) Numer. Algorithms , vol.12 , pp. 347-368
    • Jackiewicz, Z.1    Tracogna, S.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.