Structure-preserving methods for nonlinear Hamiltonian systems I-III

Date: August 12
Time: 16:00--18:00
Room: 112

(Note: Click title to show the abstract.)

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.

Noether's Laws for Finite Element Variational Problems
Mansfield, Elizabeth (Univ. of Kent)

A structure-preserving numerical integrator based on the hodograph transform for the short-pulse equation
Matsuo, Takayasu (Univ. of Tokyo)

Asymmetric numerical schemes based on the discrete variational derivative method and a practical application
Furihata, Daisuke (Osaka Univ.)

Free Boundary Problem in 3D Geometry
Humaloja, Jukka-Pekka (Tampere Univ. of Tech.)
Hamalainen, Timo (Tampere Univ. of Tech.)
Pohjolainen, Seppo (Tampere Univ. 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