The numerical treatment of nonlinear Volterra integral equations of the second kind by the exact collocation method

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  • Ioan Danciu Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania
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References

J.G. Blom, H. Brunner, The numerical solution of nonlinear Volterra integral equations of the second kind by collocation and iterated collocation methods, in SIAM J. Sci. Stat. Comput., 8(5), (1987), pp. 806-830, https://doi.org/10.1137/0908068.

H. Brunner, Superconvergence in collocation and implicit Runge-Kutta methods for Volterra-type integral equations of the second-kind, in:Albrecht and Collatz (1980), pp. 54-72.

H. Brunner, P.J. van der Houwen, The numerical solution of Volterra equations, CWIMonographs, Vol.3, North-Holland, Amsterdam-New York, 1986.

H. Brunner, S.P. Norsett, Superconvergence of collocation methods for Volterra and Abel equations of the second-kind, Numer. Math. 36(1981), pp. 347-358, https://doi.org/10.1007/978-3-0348-6314-8_4.

I. Danciu, The numerical treatment of nonlinear Volterra integral equations of the second kind by the exact collcoation method, in:Revue d'analyse Numérique et de Théorie de l'Approximation, Tome 24, 1-2 (1995), pp. 59-73.

G. Micula, Funcţii spline şi aplicaţii (Romanian), Editura Tehnică, Bucureşti, 1978.

M. Micula, G. Micula, Sur la résolution numérique des équations intégrales du type de Volterra de seconde espèce à l'aide des fonctions splines, Studia Univ., Babeş-Bolyai Math., 18(1973), pp. 65-68.

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Published

1995-08-01

How to Cite

Danciu, I. (1995). The numerical treatment of nonlinear Volterra integral equations of the second kind by the exact collocation method. Rev. Anal. Numér. Théor. Approx., 24(1), 59–73. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1995-vol24-nos1-2-art7

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Vol 24, Nos 1-2 (1995)

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