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黄乘明 教授:An hp-version spectral collocation method for Volterra integral equations with a weakly singu

本站小编 Free考研考试/2021-12-26



Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker: 黄乘明 教授,华中科技大学
Inviter:
Title:
An hp-version spectral collocation method for Volterra integral equations with a weakly singular kernel
Time & Venue:
2021.05.26 11:00-12:00 南楼N913室
Abstract:
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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