Stability analysis of methods employing reducible rules for volterra integral equations of the first kind
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The concept of (A0,S)-stability for Volterra integral equations of the second kind will be extended to that of the first kind equations. We will show that stability polynomials for methods employing reducible quadrature rules, as applied to the first kind equations, can be trivially obtained from the results for the second kind equations.
KeywordsIntegral Equation Stability Analysis Computational Mathematic Quadrature Rule Volterra Integral Equation
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- 1.S. Amini,Analysis of stability behaviour in the treatment of certain Volterra integral equations, PhD. Thesis University of Manchester (1980).Google Scholar
- 2.S. Amini,On the stability of numerical methods for Volterra integral equations of the second kind; Proceedings of the Symposium on Treatment of Integral Equations by Numerical Methods; Ed. C. T. H. Baker and G. F. Miller, Academic Press (1982).Google Scholar
- 3.S. Amini,Stability analysis of methods employing reducible rules for Volterra integral equations, BIT 23 (1983), 322–328.Google Scholar
- 4.S. Amini, C. T. H. Baker, P. J. Van der Houwen and P. H. M. Wolkenfelt,Stability analysis of numerical methods for Volterra integral equations with polynomial convolution kernels, Journal of Integral Equations 5, (1983), 73–92.Google Scholar
- 6.P. H. M. Wolkenfelt,The numerical analysis of reducible quadrature methods for Volterra integral and integro-differential equation. PhD. Thesis, Mathematisch Centrum, Amsterdam, (1981).Google Scholar
- 7.P. H. M. Wolkenfelt,Reducible quadrature methods for Volterra integral equations of the first kind, BIT 21 (1981), 232–241.Google Scholar