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Volumn 66, Issue 220, 1997, Pages 1441-1459

Continuous collocation approximations to solutions of first kind Volterra equations

Author keywords

Collocation method; Integral equation; Range Kutta method

Indexed keywords


EID: 0039329165     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0025-5718-97-00905-8     Document Type: Article
Times cited : (30)

References (12)
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  • 2
    • 0039645138 scopus 로고
    • Discretization of Volterra integral equations of the first kind (II)
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    • H. Brunner, Discretization of Volterra integral equations of the first kind (II), Numer. Math., 30 (1978), 117-136. MR 58:3578
    • (1978) Numer. Math. , vol.30 , pp. 117-136
    • Brunner, H.1
  • 3
    • 0039645146 scopus 로고
    • Superconvergence of collocation methods for Volterra integral equations of the first kind
    • MR 83a:65125
    • H. Brunner, Superconvergence of collocation methods for Volterra integral equations of the first kind, Computing, 21 (1979), 151-157. MR 83a:65125
    • (1979) Computing , vol.21 , pp. 151-157
    • Brunner, H.1
  • 5
    • 0039052950 scopus 로고
    • Collocation for Volterra integral equations of the first kind with iterated kernel
    • MR 85i:65170
    • P.P.B. Eggermont, Collocation for Volterra integral equations of the first kind with iterated kernel, SIAM J. Numer. Anal., 20 (1983), 1032-1048. MR 85i:65170
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 1032-1048
    • Eggermont, P.P.B.1
  • 6
    • 0004290782 scopus 로고
    • Springer-Verlag, New York Heidelberg Berlin, MR 51:5615
    • W. Greub, Linear Algebra, Fourth Edition, Springer-Verlag, New York Heidelberg Berlin, 1975. MR 51:5615
    • (1975) Linear Algebra, Fourth Edition
    • Greub, W.1
  • 7
    • 0039052954 scopus 로고
    • Order of convergence of one-step methods for Volterra integral equations of the second kind
    • MR 84g:65163
    • E. Hairer, Ch. Lubich and S.P. Nørsett, Order of convergence of one-step methods for Volterra integral equations of the second kind, SIAM J. Numer. Anal., 20 (1983), 569-579. MR 84g:65163
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 569-579
    • Hairer, E.1    Lubich, Ch.2    Nørsett, S.P.3
  • 10
    • 0040831507 scopus 로고
    • On the solution of Volterra integral equations of the first kind
    • MR 51:7335
    • F. de Hoog and R. Weiss, On the solution of Volterra integral equations of the first kind, Numer. Math., 21 (1973), 22-32. MR 51:7335
    • (1973) Numer. Math. , vol.21 , pp. 22-32
    • De Hoog, F.1    Weiss, R.2
  • 11
    • 0039645150 scopus 로고
    • High order methods for Volterra integral equations of the first kind
    • MR 51:9554
    • F. de Hoog and R. Weiss, High order methods for Volterra integral equations of the first kind, SIAM J. Numer. Anal., 10 (1973), 647-664. MR 51:9554
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 647-664
    • De Hoog, F.1    Weiss, R.2
  • 12
    • 0012624018 scopus 로고
    • The numerical solution of differential and integral equations by spline functions
    • Mathematics Research Center, University of Wisconsin, Madison
    • H.S. Hung, The numerical solution of differential and integral equations by spline functions, MRC Tech. Summary Rep. 1053, Mathematics Research Center, University of Wisconsin, Madison, 1970.
    • (1970) MRC Tech. Summary Rep. , vol.1053
    • Hung, H.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.