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Volumn 15, Issue 8, 2005, Pages 1203-1251

Runge-Kutta methods for retarded functional differential equations

Author keywords

Explicit methods; Order conditions; Retarded functional differential equations; Runge Kutta methods

Indexed keywords


EID: 31144463579     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202505000716     Document Type: Article
Times cited : (21)

References (12)
  • 1
    • 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
  • 4
    • 0003399571 scopus 로고
    • A Series of Comprensive Studies in Mathematics, Springer-Verlag
    • S.-N. Chowm and J. K. Hale, Methods of Bifurcation Theory, A Series of Comprensive Studies in Mathematics, Vol. 251 (Springer-Verlag, 1982).
    • (1982) Methods of Bifurcation Theory , vol.251
    • Chowm, S.-N.1    Hale, J.K.2
  • 5
    • 0015315774 scopus 로고
    • The numerical solution of Volterra functional differential equations by Euler's method
    • C. Cryer and L. Tavernini, The numerical solution of Volterra functional differential equations by Euler's method, SIAM J. Numer. Anal. 9 (1972) 105-129.
    • (1972) SIAM J. Numer. Anal. , vol.9 , pp. 105-129
    • Cryer, C.1    Tavernini, L.2
  • 6
    • 31144444316 scopus 로고    scopus 로고
    • For every s there continuously exists a δ
    • G. De Marco, For every s there continuously exists a δ, Math. Assoc. Amer. Mon. 108 (2001) 443-444.
    • (2001) Math. Assoc. Amer. Mon. , vol.108 , pp. 443-444
    • De Marco, G.1
  • 9
    • 0035592535 scopus 로고    scopus 로고
    • General Linear methods for the numerical solution of functional- differential equations
    • V. G. Pimenov, General Linear methods for the numerical solution of functional-differential equations, Differential Eqs. 37 (2001) 116-117.
    • (2001) Differential Eqs. , vol.37 , pp. 116-117
    • Pimenov, V.G.1
  • 10
    • 31144445627 scopus 로고    scopus 로고
    • Translated from Diff. Ura. 37 (2001) 105-114.
    • (2001) Diff. Ura. , vol.37 , pp. 105-114
  • 11
    • 0015206438 scopus 로고
    • One-step method for the numerical solution of Volterra functional differential equations
    • L. Tavernini, One-step method for the numerical solution of Volterra functional differential equations, SIAM J. Numer. Anal. 8 (1971) 786-795.
    • (1971) SIAM J. Numer. Anal. , vol.8 , pp. 786-795
    • Tavernini, L.1
  • 12
    • 0015758180 scopus 로고
    • Linear multistep method for the numerical solution of Volterra functional differential equations
    • L. Tavernini, Linear multistep method for the numerical solution of Volterra functional differential equations, Appl. Anal. 3 (1973) 169-185.
    • (1973) Appl. Anal. , vol.3 , pp. 169-185
    • Tavernini, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.