Stability of the spline collocation method for Volterra integral equations

Journal of Integral Equations and Applications

Volumn 13, Issue 2, 2001, Pages 141-155

  Oja, Peeter ^a  

^a UNIVERSITY OF TARTU   (Estonia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012624938     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/jiea/996986963     Document Type: Article

References (7)

1. C.T.H. Baker, The numerical treatment of integral equations, Clarendon Press, Oxford, 1977.
2. H. Brunner and P.J. van der Houwen, The numerical solution of Volterra equations, North-Holland, Amsterdam, 1986.
3. I. Danciu, Numerical stability of the spline collocation methods for Volterra integral equations, Proc. of the Internat. Conf. on Approximation and Optimization (Cluj-Napoca, 1996) Vol. II, (1997), 69 78.
4. F.R. de Hoog and R. Weiss, Implicit Runge-Kutta methods for second kind Volterra integral equations, Numer. Math. 23 (1975), 199 213.
5. M.A.E. El Tom, On the numerical stability of spline function approximations to solutions of Volterra integral equations of the second kind, BIT 14 (1974), 136 143.
6. H.-S. Hung, The numerical solution of differential and integral equations by spline functions, MRC Tech. Report No. 1053, University of Wisconsin, Madison, 1970.
7. N.M. Mülthei, Splineapproximationen mit beliebigem Defekt zur numerischen Lösung von gewöhnlichen Differentialgleichungen I, II, III, Numer. Math. 32 (1979), 147 157; 343 358; 34 (1980), 143 154.