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Volumn 12, Issue 4, 2000, Pages 449-465

Boundedness of the global error of some linear and nonlinear methods for Volterra integral equations

Author keywords

Direct quadrature; Global error; Runge Kutta; Volterra integral equations

Indexed keywords


EID: 0039233990     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/jiea/1020282238     Document Type: Article
Times cited : (6)

References (13)
  • 6
    • 84875284210 scopus 로고
    • Global stability of difference equations
    • San Antonio, Texas, No. 8, Trinity Univ.,
    • S.N. Elaydi, Global stability of difference equations, Tech. Rep. No. 8, Trinity Univ., Dept. of Math., San Antonio, Texas, 1992.
    • (1992) Tech. Rep. Dept. of Math.
    • Elaydi, S.N.1
  • 7
    • 84875320809 scopus 로고
    • Preserving transience in numerical solutions of Volterra integral equations of convolution type
    • Univ. of Manchester, Reports No. 284
    • N.J. Ford and C.T.H. Baker, Preserving transience in numerical solutions of Volterra integral equations of convolution type, Numerical Anal. Reports No. 284, Dept. Math., Univ. of Manchester, 1995.
    • (1995) Numerical Anal.Dept. Math.
    • Ford, N.J.1    Baker, C.T.H.2
  • 8
    • 0029721044 scopus 로고    scopus 로고
    • Qualitative behavior and stability of solutions of discretised nonlinear Volterra integral equations of convolution type
    • N.J. Ford and C.T.H. Baker, Qualitative behavior and stability of solutions of discretised nonlinear Volterra integral equations of convolution type, J. Comp. Appl. Math. 66 (1996), 213-225.
    • (1996) J. Comp. Appl. Math. , vol.66 , pp. 213-225
    • Ford, N.J.1    Baker, C.T.H.2
  • 9
    • 84875305062 scopus 로고    scopus 로고
    • Qualitative behavior of approximate solutions of some Volterra integral equations with non-Lipschitz nonlinearity
    • Univ. of Manchester, Reports No. 310
    • N.J. Ford, J.T. Edwards and K. Frischmuth, Qualitative behavior of approximate solutions of some Volterra integral equations with non-Lipschitz nonlinearity, Numerical Anal. Reports No. 310, Dept. Math., Univ. of Manchester, 1997.
    • (1997) Numerical Anal. Dept. Math.
    • Ford, N.J.1    Edwards, J.T.2    Frischmuth, K.3
  • 10
    • 0021382198 scopus 로고
    • On the stability of Volterra-Runge-Kutta methods
    • E. Hairer and Ch. Lubich, On the stability of Volterra-Runge-Kutta methods, SIAM J. Numer. Anal. 21 (1984), 123-135.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 123-135
    • Hairer, E.1    Lubich, C.2
  • 12
    • 0000449295 scopus 로고
    • On the stability of linear multistep methods for Volterra convolution equations
    • Ch. Lubich, On the stability of linear multistep methods for Volterra convolution equations, IMA J. Numer. Anal. 3 (1983), 439-465.
    • (1983) IMA J. Numer. Anal. , vol.3 , pp. 439-465
    • Lubich, C.1
  • 13
    • 0032633785 scopus 로고    scopus 로고
    • Discrete time relaxation direct quadrature methods for Volterra integral equations
    • A. Paone and A. Vecchio, Discrete time relaxation direct quadrature methods for Volterra integral equations, Computing 62 (1999), 11-25.
    • (1999) Computing , vol.62 , pp. 11-25
    • Paone, A.1    Vecchio, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.