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• W2184496989 abstract "In this paper, three theoretical results are presented on Sinc-Nystrom methods for Volterra integral equations of the first and second kind that have been proposed by Muhammad et al. On their methods, the following two points have been desired to be improved: 1) their methods include a tuning parameter hard to be found unless the solution is given, and 2) convergence has not been proved in a precise sense. In a mathematically rigorous manner, we present 1) an implementable way to estimate the tuning parameter, and 2) a rigorous proof of the convergence with its rate explicitly revealed. Furthermore, we show 3) the resulting system of the schemes are well-conditioned. Numerical examples which support the theoretical results are also given." @default.
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• W2184496989 date "2011-01-01" @default.
• W2184496989 modified "2023-09-27" @default.
• W2184496989 title "MATHEMATICAL ENGINEERING TECHNICAL REPORTS Theoretical Analysis of Sinc-Nyström Methods for Volterra Integral Equations" @default.
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