| Numerical Methods for Hamiltonian PDEs |
| Organizers: |
| Bao-Feng Feng ( The University of Texas-Pan American, U. S. A. ) |
Takayasu Matsuo ( The University of Tokyo, Japan ) |
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| Many important PDEs in nonlinear wave problems are Hamiltonian systems, among which some possess bi-Hamiltonian structure, thus, become integrable and admit infinite number of conservation laws. In the past two decades, there have been major advances in the study of numerical methods for Hamiltonian PDEs. Structure-preserving methods such as symplectic and multi-symplectic methods have been developed. On the other hand, the integrable method seems a new and promising one for integrable Hamiltonian PDEs.
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The purpose of this organized minisymposium is to bring together researchers from both integrable system and numerical PDEs to discuss recent advances on numerical aspects of Hamiltonian PDEs. |
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| List of Speakers: |
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| 1) Takayasu Matsuo ( The University of Tokyo, Japan ) |
| "Discretization of a nonlocal nonlinear wave equation preserving its variational structure" |
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| 2) Yuto Miyatake ( The University of Tokyo, Japan) |
| "Structure-preserving discretizations for Ostrovsky-type nonlocal nonlinear wave equations
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| 3) Daisuke Furihata ( Osaka University, Japan ) |
| "An attempt to design a fast and structure preserving scheme for Feng equation" |
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| 4) Tony Sheu ( National Taiwan University, Taiwan, China ) |
| "Development of a Hamiltonian-conserving combined compact
difference scheme for simulating CH equation at different
initial conditions and investigating head-on collision of solitons
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| 5) Yajuan Sun ( AMSS, Chinese Academy of Sciences, China ) |
| " Symplectic and multisymplectic integrators for peakon b-family equations" |
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| 6) Bao-Feng Feng ( The University of Texas-Pan American, U. S. A. ) |
| " Self-adaptive moving mesh methods for a class of nonlinear wave equations" |
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