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Volumn 218, Issue 2, 2008, Pages 307-316

Superconvergence of collocation methods for a class of weakly singular Volterra integral equations

Author keywords

Collocation methods; Singular kernel; Superconvergence; Volterra integral equation

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; PARAMETER ESTIMATION;

EID: 44649111253     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.01.023     Document Type: Article
Times cited : (60)

References (12)
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  • 4
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  • 5
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    • Brunner H., Pedas A., and Vainikko G. The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations. Math. Comp. 68 (1999) 1079-1095
    • (1999) Math. Comp. , vol.68 , pp. 1079-1095
    • Brunner, H.1    Pedas, A.2    Vainikko, G.3
  • 6
    • 44649100619 scopus 로고    scopus 로고
    • T. Diogo, On spline collocation methods for a singular Volterra integral equation, Departamento de Matemática, Instituto Superior Técnico, Lisbon, Preprint, 2006.
    • T. Diogo, On spline collocation methods for a singular Volterra integral equation, Departamento de Matemática, Instituto Superior Técnico, Lisbon, Preprint, 2006.
  • 7
    • 24944592037 scopus 로고    scopus 로고
    • High order product integration methods for a Volterra integral equation with logarithmic singular kernel
    • Diogo T., Franco N.B., and Lima P. High order product integration methods for a Volterra integral equation with logarithmic singular kernel. Commun. Pure Appl. Anal. 3 (2004) 217-235
    • (2004) Commun. Pure Appl. Anal. , vol.3 , pp. 217-235
    • Diogo, T.1    Franco, N.B.2    Lima, P.3
  • 8
    • 0008761221 scopus 로고
    • A Hermite-type collocation method for the solution of an integral equation with a certain weakly singular kernel
    • Diogo T., McKee S., and Tang T. A Hermite-type collocation method for the solution of an integral equation with a certain weakly singular kernel. IMA J. Numer. Anal. 11 (1991) 595-605
    • (1991) IMA J. Numer. Anal. , vol.11 , pp. 595-605
    • Diogo, T.1    McKee, S.2    Tang, T.3
  • 9
    • 0008770803 scopus 로고
    • uniqueness and smoothness results for second-kind Volterra equations with weakly singular kernels
    • Existence
    • Han W., and Existence. uniqueness and smoothness results for second-kind Volterra equations with weakly singular kernels. J. Integral Equations Appl. 6 (1994) 365-384
    • (1994) J. Integral Equations Appl. , vol.6 , pp. 365-384
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  • 10
    • 0031211649 scopus 로고    scopus 로고
    • An extrapolation method for a Volterra integral equation with weakly singular kernel
    • Lima P.M., and Diogo T. An extrapolation method for a Volterra integral equation with weakly singular kernel. Appl. Numer. Math. 24 (1997) 131-148
    • (1997) Appl. Numer. Math. , vol.24 , pp. 131-148
    • Lima, P.M.1    Diogo, T.2
  • 11
    • 0004408713 scopus 로고
    • Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations
    • Tang T. Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations. Numer. Math. 61 (1992) 373-382
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  • 12
    • 1542766225 scopus 로고
    • A note on collocation methods for Volterra integro-differential equations with weakly singular kernels
    • Tang T. A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. IMA J. Numer. Math. 13 (1993) 93-99
    • (1993) IMA J. Numer. Math. , vol.13 , pp. 93-99
    • Tang, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.