Stability Results for One-step Discretized Collocation Methods in the Numerical Treatment of Volterra Integral Equations
نویسندگان
چکیده
Abstract. This paper is concerned with the stability analysis of the discretized collocation method for the second-kind Volterra integral equation with degenerate kernel. A fixed-order recurrence relation with variable coefficients is derived, and local stability conditions are given independent of the discretization. Local stability and stability with respect to an isolated perturbation of some methods are proved. The reliability of the derived stability conditions is shown by numerical experiments.
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