Numerical stability of collocation methods for Volterra integro-differential equations

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  • I. Danciu Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy

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References

H. Brunner and P. J. van der Houwen, The Numerical Solution of Volterra Equations, CWI Monographs, Vol. 3, North-Holland, Amsterdam-Now York, 1986.

H. Brunner and J. D. Lambert, Stability of numerical methods for Volterra integro-differential equations, Computing 12 (1974), pp. 75-89, https://doi.org/10.1007/bf02239501

I. Danciu, Polynomial spline collocation methods for Volterra integro-differential equations, Rerv. .Anal. Numér. Théorie Approximation 25, 1-2 (1996).

I. Danciu, On the Numerical Stability of Polynomial Spline Collocalion Methods for Volterra Integral Equations, Proceedings of the ICAOR, 1996 (to appear).

M. E. A. El Tom, On the numerical stability of spline function approximations to the solution of Volterra integral equations of the second kind, BIT 14 (1914), pp. 136-143.

W. Hackbusch, Integral Equations Theory and Numerical Treatment, Birkhäuser Verlag, Bassl-Berlin, 1995.

G. Micula, Funcţii spline şi aplicaţii, Ed. Tehnică, Bucharest, 1978.

J. M. Ortega, Numerical Analysis: A Second Course, Academic Press, Now York-London, 1972.

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Published

1997-08-01

How to Cite

Danciu, I. (1997). Numerical stability of collocation methods for Volterra integro-differential equations. Rev. Anal. Numér. Théor. Approx., 26(1), 59–74. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1997-vol26-nos1-2-art9

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