This talk will present some consideration about the designing the high efficient numerical methods for the nonlinear eigenvalue problems. The applications of the multilevel correction, multigrid and tensor will be combined to build an efficient numerical methods for the nonlinear eigenvalue problems such as Bose-Einstein condensation, Kohn-Sham equations. Some implementing techniques will also be introduced.

http://lsec.cc.ac.cn/~hhxie/