Home | Sitemap | Contact | Chinese | CAS
Search: 
About AMSS Research People International Cooperation News Societies & Journals Papers Resources Education & Training Join Us Links
Research
Location: Home >  Research >  Colloquia & Seminars
(2019.4.30)Associate Prof. Xuefeng Liu:Rigorous and fully computable a posteriori error bounds for eigenfunctions
Author:
ArticleSource:
Update time: 2019-05-08
Close
A A A
Print
 

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Associate Prof. Xuefeng Liu,Niigata University, Japan

Inviter:  
Title:
Rigorous and fully computable a posteriori error bounds for eigenfunctions
Time & Venue:
2019.4.30 16:30-17:30 Z305
Abstract:
Guaranteed a posteriori error estimates for eigenfunctions in both energy and $L^2$ norms are derived for the Laplace eigenvalue problem. The problem of ill-conditioning of eigenfunctions in case of tight clusters and multiple eigenvalues issolved by estimating the directed distance between corresponding spaces of eigenfunctions. Also, if there is time, I will give a short report on "Progress about computer-assisted proof for the stationary solution of Navier-Stokes equation"
As one of the Millennium Prize Problems, the problem of existence and smoothness of the Navier--Stokes equation draws the attention of mathematician from the world. Meanwhile, the verified computing with assistance of computers has proved to be a promising approach to investigate the solution existence to nonlinear equation systems. In this talk, I will report the latest progress about the solution verification for the stationary Navier--Stokes equation over a non-convex 3D domain.
 

 

Appendix:
Copyright@2008, All Rights Reserved, Academy of Mathematics and Systems Science, CAS
Tel: 86-10-82541777 Fax: 86-10-82541972 E-mail: contact@amss.ac.cn