中科院数学与系统科学研究院
数学研究所
动力系统研讨班
报告人： 黄乘明 教授(华中科技大学)
题 目：An hp-version spectral collocation method for Volterra integral equations with a weakly singular kernel
时 间：2021.05.26（星期三）, 11:00-12:00
地 点：数学院南楼N913室
摘 要：In this talk, we introduce a multi-domain Müntz -polynomial spectral collocation method with graded meshes for solving second kind Volterra integral equations with a weakly singular kernel. This method is particularly suitable for problems whose solutions contain non-integer exponent factors. We carry out a rigorous error analysis of hp-version in the L∞- and weighted L2-norms. Several numerical examples are presented to demonstrate the efficiency and accuracy of the method.
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