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Volumn 31, Issue 2, 1999, Pages 159-171

Multilevel correction for discrete collocation solutions of Volterra integral equations with delay arguments

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; POLYNOMIALS; PROBLEM SOLVING;

EID: 0033208056     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(98)00127-5     Document Type: Article
Times cited : (20)

References (13)
  • 1
    • 0008499475 scopus 로고
    • Runge-Kutta formulae applied to Volterra functional equations with fixed delay
    • Halle-Wittenberg, 1987, Teubner-Texte zur Mathematik, . Leipzig, Teubner
    • H. Arndt and C.T.H. Baker, Runge-kutta formulae applied to Volterra functional equations with fixed delay, in: Proc. of Numerical Treatment of Differential Equations: 4th Internat. Seminar NUMDIFF, Halle-Wittenberg, 1987, Teubner-Texte zur Mathematik, Vol. 104 (Leipzig, Teubner, 1988) 19-30.
    • (1988) Proc. of Numerical Treatment of Differential Equations: 4th Internat. Seminar NUMDIFF , vol.104 , pp. 19-30
    • Arndt, H.1    Baker, C.T.H.2
  • 2
    • 21344482491 scopus 로고
    • Convergence and stability of quadrature methods applied to Volterra equations with delay
    • C.T.H. Baker and M.S. Derakhshan, Convergence and stability of quadrature methods applied to Volterra equations with delay, IMA J. Numer. Anal. 13 (1993) 67-91.
    • (1993) IMA J. Numer. Anal. , vol.13 , pp. 67-91
    • Baker, C.T.H.1    Derakhshan, M.S.2
  • 3
    • 84968494814 scopus 로고
    • Iterated collocation methods for Volterra integral equations with delay arguments
    • H. Brunner, Iterated collocation methods for Volterra integral equations with delay arguments, Math. Comp. 62 (1994) 581-599.
    • (1994) Math. Comp. , vol.62 , pp. 581-599
    • Brunner, H.1
  • 4
    • 0008526634 scopus 로고    scopus 로고
    • The iterative correction method for Volterra integral equations
    • H. Brunner, Q. Lin and N. Yan, The iterative correction method for Volterra integral equations, BIT 36(1996) 221-228.
    • (1996) BIT , vol.36 , pp. 221-228
    • Brunner, H.1    Lin, Q.2    Yan, N.3
  • 5
    • 38249017097 scopus 로고
    • On the numerical stability of Volterra integral equations with delay argument
    • B. Cahlon, On the numerical stability of Volterra integral equations with delay argument, J. Comput. Appl. Math. 33 (1990) 97-104.
    • (1990) J. Comput. Appl. Math. , vol.33 , pp. 97-104
    • Cahlon, B.1
  • 6
    • 0017120521 scopus 로고
    • An epidemic equation with immigration
    • K.L. Cooke, An epidemic equation with immigration, Math. Biosci. 29 (1976) 135-158.
    • (1976) Math. Biosci. , vol.29 , pp. 135-158
    • Cooke, K.L.1
  • 7
    • 0001031827 scopus 로고
    • An extrapolation method with stepsize control for nonlinear Volterra integral equations
    • W. Hock, An extrapolation method with stepsize control for nonlinear Volterra integral equations, Numer. Math. 38 (1981) 155-178.
    • (1981) Numer. Math. , vol.38 , pp. 155-178
    • Hock, W.1
  • 8
    • 0008478530 scopus 로고    scopus 로고
    • Extrapolation for collocation solutions of Volterra integro-differential equations
    • Q.Y. Hu, Extrapolation for collocation solutions of Volterra integro-differential equations, Chinese J. Numer. Math. Appl 18 (1996) 28-37.
    • (1996) Chinese J. Numer. Math. Appl , vol.18 , pp. 28-37
    • Hu, Q.Y.1
  • 10
    • 0000236091 scopus 로고
    • Asymptotic error expansions for numerical solutions of integral equations
    • W. McLean, Asymptotic error expansions for numerical solutions of integral equations, IMA J. Numer. Anal. 9 (1989) 373-384.
    • (1989) IMA J. Numer. Anal. , vol.9 , pp. 373-384
    • McLean, W.1
  • 12
    • 0001397336 scopus 로고
    • On the stability of Runge-Kutta methods for delay integral equations
    • R. Vermiglio, On the stability of Runge-Kutta methods for delay integral equations, Numer. Math. 61 (1992) 561-577.
    • (1992) Numer. Math. , vol.61 , pp. 561-577
    • Vermiglio, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.