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Volumn 69, Issue 4, 2002, Pages 319-337

Cubic spline collocation for volterra integral equations

Author keywords

Cubic spline collocation; Spline projections; Stability and convergence of spline collocation method; Volterra integral equations

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; INTERPOLATION;

EID: 0036963113     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00607-002-1463-z     Document Type: Article
Times cited : (21)

References (14)
  • 4
    • 0040575075 scopus 로고    scopus 로고
    • The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
    • Brunner, H., Pedas, A., Vainikko, G.: The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations. Math. Comp., 68, 1079-1095 (1999).
    • (1999) Math. Comp. , vol.68 , pp. 1079-1095
    • Brunner, H.1    Pedas, A.2    Vainikko, G.3
  • 5
    • 0012624937 scopus 로고
    • On the numerical stability of spline function approximations to solutions of Volterra integral equations of the second kind
    • El Tom, M. A. E.: On the numerical stability of spline function approximations to solutions of Volterra integral equations of the second kind. BIT 14, 136-143 (1974).
    • (1974) BIT , vol.14 , pp. 136-143
    • El Tom, M.A.E.1
  • 8
    • 0012624018 scopus 로고
    • The numerical solution of differential and integral equations by spline functions
    • University of Wisconcin, Madison
    • Hung, H.-S.: The numerical solution of differential and integral equations by spline functions, MRC Tech. Report No 1053, University of Wisconcin, Madison, 1970.
    • (1970) MRC Tech. Report , vol.1053
    • Hung, H.-S.1
  • 10
    • 0012624938 scopus 로고    scopus 로고
    • Stability of the spline collocation method for Volterra integral equations
    • Oja, P.: Stability of the spline collocation method for Volterra integral equations. J. Integral Equations Appl., 13, 141-155 (2001).
    • (2001) J. Integral Equations Appl. , vol.13 , pp. 141-155
    • Oja, P.1
  • 11
    • 0012624383 scopus 로고    scopus 로고
    • Stability of collocation by smooth splines for Volterra integral equations
    • Oslo 2000
    • Oja, P.: Stability of collocation by smooth splines for Volterra integral equations, Mathematical methods for curves and surfaces, Oslo 2000, 405-412 (2001).
    • (2001) Mathematical Methods for Curves and Surfaces , pp. 405-412
    • Oja, P.1
  • 12
    • 0012709824 scopus 로고
    • On knots and nodes for spline interpolation
    • Shrivenham 1988, Chapman and Hall, London
    • Smith, P. W.: On knots and nodes for spline interpolation, Algorithms for Approximation II, Shrivenham 1988, 72-77, Chapman and Hall, London (1990).
    • (1990) Algorithms for Approximation II , pp. 72-77
    • Smith, P.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.