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Volumn 38, Issue 2, 2001, Pages 347-359

Some extended explicit Bel'tyukov pairs for volterra integral equations of the second kind

Author keywords

Bel'tyukov; Runge Kutta explicit pairs; Second kind; Volterra integral equations

Indexed keywords


EID: 0034447333     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S003614299631280X     Document Type: Article
Times cited : (7)

References (10)
  • 1
    • 0023329035 scopus 로고
    • A new theoretical approach to Runge-Kutta methods
    • P. ALBRECHT, A new theoretical approach to Runge-Kutta methods, SIAM J. Numer. Anal., 24 (1987), pp. 391-406.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 391-406
    • Albrecht, P.1
  • 2
    • 0041953002 scopus 로고
    • On Step Size Control for Volterra Integral Equations, Internat
    • Birkhäuser, Basel
    • H. ARNDT, On Step Size Control for Volterra Integral Equations, Internat. Schriflenreihe Numer. Math. 73, Birkhäuser, Basel, 1983.
    • (1983) Schriflenreihe Numer. Math. , vol.73
    • Arndt, H.1
  • 3
    • 0001178161 scopus 로고
    • The numerical solution of nonlinear Volterra integral equations of the second kind by collocation and iterated collocation methods
    • J. G. BLOM AND H. BRUNNER, The numerical solution of nonlinear Volterra integral equations of the second kind by collocation and iterated collocation methods, SIAM J. Sci. Statist. Comput., 8 (1987), pp. 806-830.
    • (1987) SIAM J. Sci. Statist. Comput. , vol.8 , pp. 806-830
    • Blom, J.G.1    Brunner, H.2
  • 4
    • 84966198465 scopus 로고
    • Runge-Kutta theory for Volterra integral equations of the second kind
    • H. BRUNNER, E. HAIRER, AND S. P. NØRSETT, Runge-Kutta theory for Volterra integral equations of the second kind, Math. Comp., 39 (1982), pp. 147-163.
    • (1982) Math. Comp. , vol.39 , pp. 147-163
    • Brunner, H.1    Hairer, E.2    NØrsett, S.P.3
  • 5
    • 0003213842 scopus 로고
    • The Numerical Solution of Volterra Equations
    • North-Holland, Amsterdam
    • H. BRUNNER AND P. J. VAN DER HOUWEN, The Numerical Solution of Volterra Equations, CWI Monograph 3, North-Holland, Amsterdam, 1986.
    • (1986) CWI Monograph , vol.3
    • Brunner, H.1    Van Der Houwen, P.J.2
  • 6
    • 0042453606 scopus 로고
    • 0-Stability of Numerical Methods for Volterra Integral Equations of the Second Kind
    • The Mathematical Centre, Amsterdam
    • 0-Stability of Numerical Methods for Volterra Integral Equations of the Second Kind, Technical Report NW 84/80, The Mathematical Centre, Amsterdam, 1980.
    • (1980) Technical Report NW 84/80
    • Brunner, H.1    NØrsett, S.P.2    Wolkenfelt, P.H.M.3
  • 7
    • 0042453611 scopus 로고
    • Error estimates for general linear methods for ordinary differential equations
    • G. J. COOPER, Error estimates for general linear methods for ordinary differential equations, SIAM J. Numer. Anal., 18 (1981), pp. 65-82.
    • (1981) SIAM J. Numer. Anal. , vol.18 , pp. 65-82
    • Cooper, G.J.1
  • 8
    • 0007139297 scopus 로고
    • Extended Volterra-Runge-Kutta methods
    • C. T. H. Baker and C. F. Miller, eds., Academic Press, London
    • E. HAIRER, Extended Volterra-Runge-Kutta methods, in Treatment of Integral Equations by Numerical Methods, C. T. H. Baker and C. F. Miller, eds., Academic Press, London, 1982, pp. 221-231.
    • (1982) Treatment of Integral Equations by Numerical Methods , pp. 221-231
    • Hairer, E.1
  • 10
    • 0034228946 scopus 로고    scopus 로고
    • Extended explicit Bel'tyukov pairs of orders 4 and 5 for Volterra integral equations of the second kind
    • to appear
    • P. W. SHARP AND J. H. VERNER, Extended explicit Bel'tyukov pairs of orders 4 and 5 for Volterra integral equations of the second kind, Appl. Numer. Math., to appear.
    • Appl. Numer. Math.
    • Sharp, P.W.1    Verner, J.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.