Structure-preserving methods for nonlinear Hamiltonian systems III-III

Date: August 11
Time: 13:30--15:30
Room: 409

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Feng, Bao-Feng (The Univ. of Texas-Pan American)
Hu, Xing-Biao (Inst. of Computational Mathematics, Chinese Acad. of Sci. (CAS), China)
Shang, Zaijiu (AMSS, CAS)
Hong, Jialin (Inst. of Computational Mathematics, Chinese Acad. of Sci. (CAS))

Abstract: During the last 50 years, there has been a wide interest in the study of nonlinear Hamiltonian systems, especially Hamiltonian PDEs. Among which an important class are integrable, in the sense that they can be solved exactly, admit enough number of conservation laws. On the other hand, there have been major advances in the numerical methods of integrable Hamiltonian systems. Symplectic, multi-symplectic and energy-preserving methods have been popular in simulating these equations. Nevertheless, an important question still deserve to be explored is how to appropriately discretize nonlinear Hamiltonian systems and to gain a superior performance for long time simulations while keeping their common features as many as possible.
The purpose of this organized minisymposium is to bring together researchers from both integrable system and numerical analysis to discuss recent advances on numerical aspects of nonlinear Hamiltonian systems.

Higher order volume-preserving schemes for charged particle dynamics
Yajuan, Sun (Acad. of Mathematics & Sys. Sci., Chinese Acad. of Sci.)

Consistency of differential and difference multisymplectic structures via variational bicomplexes
Peng, Linyu (Waseda Univ.)

Linear stability of symplectic integrators
Shang, Zaijiu (AMSS, CAS)

The optimal level of reliability for non-repairable system
Yang, Guoxiao (Beijing Inst. of Tech.)


Code: Type-Date-Time-Room No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:30-9:30, B=10:00-11:00, C=11:10-12:10, BC=10:00-12:10, D=13:30-15:30, E=16:00-18:00, F=19:00-20:00, G=12:10-13:30, H=15:30-16:00
Room No.: TBA