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Volumn 59, Issue 8, 2009, Pages 1721-1736

Multistep collocation methods for Volterra Integral Equations

Author keywords

Multistep collocation methods; Multistep Runge Kutta methods; Numerical methods for Volterra Integral Equations

Indexed keywords

CONSTRUCTIVE TECHNIQUES; FIXED NUMBERS; LINEAR STABILITY PROPERTIES; MULTISTEP COLLOCATION METHODS; MULTISTEP RUNGE-KUTTA METHODS; NUMERICAL EXPERIMENTS; NUMERICAL INTEGRATIONS; NUMERICAL SOLUTIONS; TIME STEPS;

EID: 67349247828     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2009.01.001     Document Type: Article
Times cited : (90)

References (13)
  • 1
    • 0042858003 scopus 로고
    • Stability analysis of Runge-Kutta methods for Volterra Integral Equations of second kind
    • Bellen A., Jackiewicz Z., Vermiglio R., and Zennaro M. Stability analysis of Runge-Kutta methods for Volterra Integral Equations of second kind. IMA J. Numer. Anal. 10 (1990) 103-118
    • (1990) IMA J. Numer. Anal. , vol.10 , pp. 103-118
    • Bellen, A.1    Jackiewicz, Z.2    Vermiglio, R.3    Zennaro, M.4
  • 3
    • 0003213842 scopus 로고
    • The Numerical Solution of Volterra Equations
    • North-Holland, Amsterdam
    • Brunner H., and van der Houwen P.J. The Numerical Solution of Volterra Equations. CWI Monographs vol. 3 (1986), North-Holland, Amsterdam
    • (1986) CWI Monographs , vol.3
    • Brunner, H.1    van der Houwen, P.J.2
  • 4
    • 34250884587 scopus 로고    scopus 로고
    • Fast Runge-Kutta methods for nonlinear convolution systems of Volterra Integral Equations
    • Capobianco G., Conte D., Del Prete I., and Russo E. Fast Runge-Kutta methods for nonlinear convolution systems of Volterra Integral Equations. BIT 47 2 (2007) 259-275
    • (2007) BIT , vol.47 , Issue.2 , pp. 259-275
    • Capobianco, G.1    Conte, D.2    Del Prete, I.3    Russo, E.4
  • 5
    • 33746371031 scopus 로고    scopus 로고
    • Fast collocation methods for Volterra integral equations of convolution type
    • Conte D., and Del Prete I. Fast collocation methods for Volterra integral equations of convolution type. J. Comput. Appl. Math. 196 2 (2006) 652-663
    • (2006) J. Comput. Appl. Math. , vol.196 , Issue.2 , pp. 652-663
    • Conte, D.1    Del Prete, I.2
  • 6
    • 53449097248 scopus 로고    scopus 로고
    • Two-step almost collocation methods for Volterra integral equations
    • Conte D., Jackiewicz Z., and Paternoster B. Two-step almost collocation methods for Volterra integral equations. Appl. Math. Comput. 204 (2008) 839-853
    • (2008) Appl. Math. Comput. , vol.204 , pp. 839-853
    • Conte, D.1    Jackiewicz, Z.2    Paternoster, B.3
  • 7
    • 35348816935 scopus 로고    scopus 로고
    • A family of multistep collocation methods for Volterra Integral Equations
    • Numerical Analysis and Applied Mathematics. Simos T.E., Psihoyios G., and Tsitouras Ch. (Eds), Springer
    • Conte D., and Paternoster B. A family of multistep collocation methods for Volterra Integral Equations. In: Simos T.E., Psihoyios G., and Tsitouras Ch. (Eds). Numerical Analysis and Applied Mathematics. AIP Conference Proceedings vol. 936 (2007), Springer 128-131
    • (2007) AIP Conference Proceedings , vol.936 , pp. 128-131
    • Conte, D.1    Paternoster, B.2
  • 8
    • 35348853958 scopus 로고    scopus 로고
    • A general family of two step collocation methods for Ordinary Differential Equations
    • Numerical Analysis and Applied Mathematics. Simos T.E., Psihoyios G., and Tsitouras Ch. (Eds), Springer
    • D'Ambrosio R., Ferro M., and Paternoster B. A general family of two step collocation methods for Ordinary Differential Equations. In: Simos T.E., Psihoyios G., and Tsitouras Ch. (Eds). Numerical Analysis and Applied Mathematics. AIP Conference Proceedings vol. 936 (2007), Springer 45-49
    • (2007) AIP Conference Proceedings , vol.936 , pp. 45-49
    • D'Ambrosio, R.1    Ferro, M.2    Paternoster, B.3
  • 9
    • 0038925285 scopus 로고
    • La résolution numérique des problémes différentiels aux conditions initiales par des méthodes de collocation
    • Guillon A., and Soulé J.L. La résolution numérique des problémes différentiels aux conditions initiales par des méthodes de collocation. RAIRO Anal. Numer. Ser. Rouge R-3 (1969) 17-44
    • (1969) RAIRO Anal. Numer. Ser. Rouge R-3 , pp. 17-44
    • Guillon, A.1    Soulé, J.L.2
  • 11
    • 35348868740 scopus 로고    scopus 로고
    • General Linear Methods for Ordinary Differential Equations, Wiley-Interscience, John Wiley & Sons
    • in press
    • Z.Jackiewicz, General Linear Methods for Ordinary Differential Equations, Wiley-Interscience, John Wiley & Sons, in press
    • Jackiewicz, Z.1
  • 12
    • 84860712871 scopus 로고
    • Superconvergence for multistep collocation
    • Lie I., and Norsett S.P. Superconvergence for multistep collocation. Math. Comput. 52 185 (1989) 65-79
    • (1989) Math. Comput. , vol.52 , Issue.185 , pp. 65-79
    • Lie, I.1    Norsett, S.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.