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Volumn 41, Issue 2, 2001, Pages 322-344

Convergence of Runge-Kutta methods for delay differential equations

Author keywords

Convergence; Delay differential equations; Equistage interpolation; Initial value problems; Numerical solution; Order conditions; Runge Kutta methods

Indexed keywords


EID: 0012917682     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021994523890     Document Type: Article
Times cited : (10)

References (13)
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  • 2
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  • 4
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  • 8
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    • A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations
    • K. J. in 't Hout, A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations. BIT, 32 (1992), pp. 634-649.
    • (1992) BIT , vol.32 , pp. 634-649
    • In 'T Hout, K.J.1
  • 9
    • 0031506225 scopus 로고    scopus 로고
    • Stability analysis of Runge-Kutta methods for systems of delay differential equations
    • K. J. in 't Hout, Stability analysis of Runge-Kutta methods for systems of delay differential equations. IMA J. Numer. Anal., 17 (1997), pp. 17-27.
    • (1997) IMA J. Numer. Anal. , vol.17 , pp. 17-27
    • In 'T Hout, K.J.1
  • 10
    • 0000810581 scopus 로고
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    • Oberle, H.J.1    Pesch, H.J.2
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    • Stetter, H.J.1
  • 12
    • 0034229834 scopus 로고    scopus 로고
    • New stability results for Runge-Kutta methods adapted to delay differential equations
    • E. G. van den Heuvel, New stability results for Runge-Kutta methods adapted to delay differential equations, Appl. Numer. Math., 34 (2000), pp. 293-308.
    • (2000) Appl. Numer. Math. , vol.34 , pp. 293-308
    • Van Den Heuvel, E.G.1
  • 13
    • 84966233444 scopus 로고
    • Natural continuous extensions of Runge-Kutta methods
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    • (1986) Math. Comp. , vol.46 , pp. 119-133
    • Zennaro, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.