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Extended block boundary value methods for neutral equations with piecewise constant argument

报告题目:Extended block boundary value methods for neutral equations with piecewise constant argument
邀请人:刘可伋
报告人:张诚坚 教授 华中科技大学
时间:2019年129日(周一) 10:00-11:00
地点:红瓦楼726
摘要:This talk is concerned with numerical analysis and computation for neutral equations with piecewise constant argument (NEPCA). The block boundary value methods (BBVMs) are extended to solve NEPCA. Under the conditions of preconsistency and p-order consistency, it is proved that the convergence order of the extended BBVMs can arrive at p. Moreover, a sufficient and necessary condition of the numerical asymptotical stability  is derived for linear NEPCA. The presented numerical examples further testify the computational effectiveness of the methods and the obtained theoretical results.
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