International Workshop on
integrable Systems --
Mathematical Analysis and
Scientific Computing
integrable Systems --
Mathematical Analysis and
Scientific Computing
OCTOBER
17th-18th
Tutorial Course OCTOBER
19th-21st
Workshop
17th-18th
Tutorial Course OCTOBER
19th-21st
Workshop
Aim
The objective of this workshop is to get together international experts working on the mathematically important and computationally challengeous intergable equations. The integrable equations of scientific importance include, for example, nonlinear Schrödinger equation, Camassa-Holm equation and Degasperis-Procesi equation in space-time or frequency domin. Long-time asymptotic solutions and their relevance to Painlevé equations of different types are also the main theme of this workshop. Besides the mathematical analysis of their mathematical features and exploration of rich physics, in this workshop we also invite distinguished speakers to present their recent developments on the computational aspects. To attract students and faculties entering into this mathematically important area, we also invite internationally distinguished speakers to give us tutorial courses.
Time
Workshop Organizers:
Tony W. H. Sheu (CASTS, National Taiwan University)Bao Feng Feng(University of Texas-Pan American)
Jyh-Hao Lee(Academia Sinica)
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Location
Room 101, Mathematics Research Center, National Taiwan University
Workshop Chair
Chang-Shou Lin
CASTS,NTU
Website |
Workshop Organizers
Tony W. H. Sheu
CASTS,NTU
Website |
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Bao-Feng Feng
University of Texas-Rio Grande Valley, USA
Website |
Local Organizers
Jyh-Hao Lee
Institute of Mathematics, Academia Sinica
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Chueh-Hsin Chang
CASTS,NTU
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Ying-Pei Liu
CASTS,NTU
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Yu-Chen Liao
CASTS,NTU
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Chun-Fei Kang
CASTS,NTU
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Scientific Committee Members
Mark Ablowitz, University of Colorado, United States, Website
Chang-Shou Lin, CASTS, NTU, Taiwan
Antonio Degasperis, Istituto di Fisica, Sapienza Universita' di Roma, Italy, Website
Jianke Yang, University of Vermont, United States, Website
Dmitry Shepelsky, National Academy of Sciences of Ukraine, Ukraine, Website
Yasuhiro Ohta, Kobe University, Japan, Website
Tutorial Lecturers
Mark Ablowitz, University of Colorado, United States, Website
Antonio Degasperis, Istituto di Fisica, Sapienza Universita' di Roma, Italy, Website
Bao-Feng Feng, University of Texas-Rio Grande Valley, USAWebsite
Jingsong He, Ningbo University , China, Website
Christian Klein, Institut de Mathématiques de Bourgogne, France, Website
Peter Miller, Department of Mathematics, University of Michigan, United States ,Website
Yasuhiro Ohta, Kobe University, Japan, Website
Dmitry Shepelsky, National Academy of Sciences of Ukraine, Ukraine, Website
Yan Xu, University of Science and Technology of China, China, Website
Jianke Yang, University of Vermont, United States, Website
Invited Speakers
Mark Ablowitz, University of Colorado, United States, Website
Chueh-Hsin Chang, CASTS, National Taiwan University, Taiwan,
Antonio Degasperis, Istituto di Fisica, Sapienza Universita' di Roma, Italy, Website
Bao-Feng Feng, University of Texas-Rio Grande Valley, USAWebsite
Jingsong He, Ningbo University , China, Website
Christian Klein, Institut de Mathématiques de Bourgogne, France, Website
Kenichi Maruno, Department of Applied Mathematics
Fundamental Science and Engineering Waseda University, Japan, Website
Fundamental Science and Engineering Waseda University, Japan, Website
Peter Miller, Department of Mathematics, University of Michigan, United States ,Website
Yasuhiro Ohta, Kobe University, Japan, Website
Dmitry Shepelsky, National Academy of Sciences of Ukraine, Ukraine, Website
Derchyi Wu, Academia Sinica, Taiwan,Website
Yan Xu, University of Science and Technology of China, China, Website
Jianke Yang, University of Vermont, United States, Website
Zuonong Zhu, Shanghai Jiao Tong University, China, Website
Document
Date : 2015 / 10 / 17
Antonio Degasperis
主題:Multiscale perturbation of nonlinear partial differential equations and integrability (PDF)
主題:Multiscale perturbation of nonlinear partial differential equations and integrability (PDF)
Yasuhiro Ohta
主題:Special solutions of integrable equations and reduction technique (PDF)
主題:Special solutions of integrable equations and reduction technique (PDF)
Christian Klein
主題:Numerical approaches for integrable equations in higher dimensions (PDF)
主題:Numerical approaches for integrable equations in higher dimensions (PDF)
Bao-Feng Feng
主題:Construction of self-adaptive moving mesh methods based on hodograph transformation (PDF)
主題:Construction of self-adaptive moving mesh methods based on hodograph transformation (PDF)
Dmitry Shepelsky
主題:Initial-boundary value problems for integrable nonlinear equations: a Riemann-Hilbert approach (PDF)
主題:Initial-boundary value problems for integrable nonlinear equations: a Riemann-Hilbert approach (PDF)
Jingsong He
主題:The construction of the higher-order rogue wave solutions of the nonlinear Schrodinger equation (PPT)
主題:The construction of the higher-order rogue wave solutions of the nonlinear Schrodinger equation (PPT)
Date : 2015 / 10 / 18
Jianke Yang
主題:General rogue waves in the focusing and defocusing Ablowitz-Ladik equations (PDF)
主題:General rogue waves in the focusing and defocusing Ablowitz-Ladik equations (PDF)
Mark Ablowitz
主題:Inverse Scattering Transform (IST)I (PDF)
主題:Inverse Scattering Transform (IST)I (PDF)
Mark Ablowitz
主題:Inverse Scattering Transform (IST)II (PDF)
主題:Inverse Scattering Transform (IST)II (PDF)
Peter Miller
主題:Singular Limits for Integrable Equations (PDF)
主題:Singular Limits for Integrable Equations (PDF)
Mark Ablowitz
主題:Inverse Scattering Transform (IST)III (PDF)
主題:Inverse Scattering Transform (IST)III (PDF)
Yan Xu
主題:Local discontinuous Galerkin method for the nonlinear wave equations (PDF)
主題:Local discontinuous Galerkin method for the nonlinear wave equations (PDF)
Date : 2015 / 10 / 19
Jingsong He
主題:New Hierarchies of Derivative nonlinear Schrodinger Type Equations (PDF)
主題:New Hierarchies of Derivative nonlinear Schrodinger Type Equations (PDF)
Yan Xu
主題:High order numerical methods for the nonlinear wave equations (PDF)
主題:High order numerical methods for the nonlinear wave equations (PDF)
Kenichi Maruno
主題:Novel numerical methods for some integrable PDEs (PDF)
主題:Novel numerical methods for some integrable PDEs (PDF)
Dmitry Shepelsky
主題:The Degasperis-Procesi equation and its short wave limit by a Riemann-Hilbert approach (PDF)
主題:The Degasperis-Procesi equation and its short wave limit by a Riemann-Hilbert approach (PDF)
Date : 2015 / 10 / 20
Peter Miller
主題:Semiclassical Initial-Boundary Value Problems for the Defocusing Nonlinear Schrodinger Equation (PDF)
主題:Semiclassical Initial-Boundary Value Problems for the Defocusing Nonlinear Schrodinger Equation (PDF)
Bao-Feng Feng
主題:A focusing and defocusing complex short pulse equation (PDF)
主題:A focusing and defocusing complex short pulse equation (PDF)
Date : 2015 / 10 / 21
Antonio Degasperis
主題:Rational solutions of integrable nonlinear wave models (PDF)
主題:Rational solutions of integrable nonlinear wave models (PDF)
Jianke Yang
主題:Nonlinear wave dynamics in PT-symmetric systems (PDF)
主題:Nonlinear wave dynamics in PT-symmetric systems (PDF)
Zuonong Zhu
主題:A nonintegrable discrete nonlinear Schrodinger equation with the nonlinear hopping (PDF)
主題:A nonintegrable discrete nonlinear Schrodinger equation with the nonlinear hopping (PDF)
Christian Klein
主題:Numerical study of integrable equations in higher dimensions (PDF)
主題:Numerical study of integrable equations in higher dimensions (PDF)
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