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Volumn 163, Issue 2, 2004, Pages 401-418

A new approach to the numerical solution of weakly singular Volterra integral equations

Author keywords

Product integration; Weakly singular Volterra integral equation

Indexed keywords

INTEGRAL EQUATIONS; INTEGRATION; PROBLEM SOLVING;

EID: 1142305190     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.08.047     Document Type: Article
Times cited : (109)

References (12)
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  • 2
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    • Cameron R.F. McKee S. Product integration methods for second kind Abel integral equations J. Comput. Appl. Math. 11 1984 1-10
    • (1984) J. Comput. Appl. Math. , vol.11 , pp. 1-10
    • Cameron, R.F.1    McKee, S.2
  • 6
    • 0016315517 scopus 로고
    • High order methods for a class of Volterra integral equations with weakly singular kernels
    • de Hoog F.R. Weiss R. High order methods for a class of Volterra integral equations with weakly singular kernels SIAM J. Numer. Anal. 11 1974 1166-1180
    • (1974) SIAM J. Numer. Anal. , vol.11 , pp. 1166-1180
    • de Hoog, F.R.1    Weiss, R.2
  • 7
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    • On the order of the error in discretization methods for weakly singular second kind Volterra integral equations with non-smooth solutions
    • Dixon J. On the order of the error in discretization methods for weakly singular second kind Volterra integral equations with non-smooth solutions BIT 25 1985 624-634
    • (1985) BIT , vol.25 , pp. 624-634
    • Dixon, J.1
  • 9
    • 84966227123 scopus 로고
    • Fractional linear multistep methods for Abel-Volterra integral equations of the second kind
    • Lubich Ch. Fractional linear multistep methods for Abel-Volterra integral equations of the second kind Math. Comput. 45 1985 463-469
    • (1985) Math. Comput. , vol.45 , pp. 463-469
    • Lubich, Ch.1
  • 10
    • 0040891781 scopus 로고
    • Smoothness of solutions of Volterra integral equations with weakly singular kernels
    • Miller R.K. Feldstein A. Smoothness of solutions of Volterra integral equations with weakly singular kernels SIAM J. Math. Anal. 2 1971 242-258
    • (1971) SIAM J. Math. Anal. , vol.2 , pp. 242-258
    • Miller, R.K.1    Feldstein, A.2
  • 11
    • 0032381034 scopus 로고    scopus 로고
    • High order methods for weakly singular integral equations with nonsmooth input functions
    • Monegato G. Scuderi L. High order methods for weakly singular integral equations with nonsmooth input functions Math. Comput. 67 1998 1493-1515
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  • 12
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    • Product integration for Volterra integral equations of the second kind with weakly singular kernels
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    • Palamara Orsi, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.