[01199] Recent advances of scientific computing and applications
Session Time & Room : 2E (Aug.22, 17:40-19:20) @E508
Type : Proposal of Minisymposium
Abstract : There has been tremendous growth in various areas of scientific computing in the recent years. This mini-symposium intends to introduce the recent advances of scientific computing and the related interesting applications. The goal is to attract attention to scientific computing and build potential future collaborations.
[05157] Numerical studies to the Chaplygin gas equation
Author(s) :
Ying Wang (University of Oklahoma)
Abstract : In this talk, we will discuss the numerical solutions to the Riemann problem for Chaplygin gas equation, which is the Euler equations equipped with the state equation p = $-1/\rho$. The spatial discretization is performed using WENO reconstruction and time integration is achieved using TVD RK4. The numerical results confirm high order of accuracy. This is a joint work with Ling Jin.
[05160] Fully coupled averaging with singularities.
Author(s) :
Alexander Grigo (University of Oklahoma)
Abstract : In this talk I will present an averaging theorem for a fully coupled system with singularities. Specifically, I will discuss a particular fast-slow system that arises in modeling energy transport in an open system of interacting hard-spheres. The technical part of this work addresses how to deal with singularities of the dynamics and the fact that the dynamics is fully coupled.
[04888] Plant virus propagation models with delay and stochasticity
Author(s) :
Benito Chen-Charpentier (University of Texas at ArlingtonUniversity of Texas at Arlington)
Abstract : Plant diseases caused by a virus are mostly transmitted by a vector that bites an infected plant and bites a susceptible one. There is a delay between the time a plant gets bitten by an infected vector and the time it is infected. In this paper we consider two simple models of plant virus propagation and study different ways in which delays can be incorporated including the addition of an exposed class for the plants. Simulations are done and comparisons with the results for the models without delays are presented.
