Lecture on "Block Boundary Value Methods Applied to Functional Differential Equations with Piecewise Continuous Arguments"
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Lecture on "Block Boundary Value Methods Applied to Functional Differential Equations with Piecewise Continuous Arguments"
DateandTime: 2017-06-12 09:12:24

Speaker: Prof. Zhang Chengjian, School of Mathematics and Statistics, Huazhong University of Science and Technology

Date: June 12, 2017

Time: 3:30-4:30pm

Location: Room 1248, Block B, Zhixin Building, Central Campus

Sponsor: the School of Mathematics


Abstract:

This talk deals with a class of functional differential equations with piecewise continuous arguments. Block boundary value methods (BBVMs) are extended to solve this class of equations. It is shown under the Lipschitz condition that the order of convergence of an extended block boundary value method coincides with its order of consistency. Moreover, we study the linear stability of the extended methods and give the corresponding asymptotical stability criterion. In the end, with several numerical examples, the theoretical results and the computational effectiveness of the methods are further illustrated.


Bio:

Prof. Zhang ChengJian completed his Doctor of Science from Hunan University in 1998. He is currently a professor of the School of Mathematics and Statistics at Huazhong University of Science and Technology. His main research interests include applied mathematics; engineering, applied and computational mathematics; differential equations and approximate analytical methods. He has published in top journals such as "SIAM J. Sci. Comput.", "IMA J. Numer. Anal.", and "Numer. Math.".


For more information, please visit:

http://www.maths.sdu.edu.cn/block-boundary-value-methods-applied-to-functional-differential-equations-with-piecewise-continuous-arguments.html 


Edited by: Zhang Xinyuan




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