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Multipoint boundary value problems with discontinuities II. Convergence of the initial value adjusting method
Authors:Wayne Welsh  Takeo Ojika
Institution:1. W. Welsh, on leave from the Department of Mathematics, University of Saskatchewan, Saskatoon, Sask., Canada, S7N 0W0;2. T. Ojika, on leave from the Department of Technology, Osaka Kyoiku University, Osaka, Japan
Abstract:In this paper we give a proof for convergence of the initial value adjusting method, described in detail in part I, based on Kantorovich's theorem. Under standard assumptions on the dynamics, boundary conditions, and initial approximations, a quadratic convergence rate is obtained.
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