Ph.D. Dissertation Defense for Lewei Zhao

 

Ph.D. Dissertation Defense

 

 

Lewei Zhao

 

 

 

Spectral Methods for Hamiltonian Systems and Their Applications

 

Abstract

 

Hamiltonian systems typically arise as models of conservative physical systems and have many applications. Our main emphasis is using spectral  methods to preserve both symplectic structure and energy up to machine error in long time. Two interesting applications are presented : one is N-body problems and the other one is simulating quantum cooling in an optomechanical system to study the dissipative dynamics. Moreover, a few new unsolved problems are discussed for the future work.

 

11:30 AM

Thursday, May 23, 2019

1140 Faculty/Administration Building 

 

Advisor: Zhimin Zhang

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Ph.D. Dissertation Defense for Lewei Zhao 5/9/2019
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