Saturday, August 12

Advanced Computational Algorithms

10:00 AM-12:00 PM
Lehua (Salon 6)

Much attention has been paid to the development of accurate, efficient and robust computational methods in the last a few decades. However, finding numerical solutions for partial differential equations is still a challenge owing to the presence of possible singularities and/or homoclinic manifolds that induce sharp transitions in the solutions.For example, difficulties exist in shock wave analysis and in the conservation of a Hamiltonian system involving homoclinic orbits. The speakers in this minisymposium will address new developments in shock capturing and symplectic algorithms.

Organizer: Guowei Wei
The National University of Singapore, Singapore
10:00-10:25 Long Time Simulation of High Order WENO Schemes
Chi-Wang Shu, Brown University, USA
10:30-10:55 Symplectic Integrators for the Discrete Nonlinear Schrödinger Equation in Canonical and Non-canonical Form
Constance M. Schober and Dmitry Karpeev, Old Dominion University, USA
11:00-11:25 A Dynamic Fracture Model and Its Shock Analysis
Ping Lin, The National University of Singapore, Singapore
11:30-11:55 A New Scheme for Shock-capturing
Yun Gu, The National University of Singapore, Singapore; and Guowei Wei, Organizer

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