Events
DMS Applied Mathematics Seminar |
| Time: Nov 08, 2019 (02:00 PM) |
| Location: Parker Hall 328 |
|
Details: Speaker: Minglei Yang
Title: Probabilistic schemes for semi-linear nonlocal diffusion equations with application in predicting runaway electron dynamics
Abstract: The semi-linear nonlocal diffusion equations have been applied in a wide variety of applications, including, e.g., contaminant flow in groundwater, the dynamics of financial markets, and plasma physics. In this work, we focus on developing and analyzing novel probabilistic numerical approaches for solving several types of semi-linear nonlocal diffusion equations in both unbounded and bounded high dimensional spaces. And we also introduce one application of initial-boundary value partial integro-differential equation problem, the approximation of the runaway probability of electrons in fusion tokamak simulation. Analysis of the approximation errors of the proposed schemes and several numerical examples will be presented to verify the accuracy and effectiveness of our approaches. |