学术报告（刘鎏 2024.10.11）

摘要：Kinetic equations have broad applications in various fields, such as plasma physics, rarefied gas, astrophysics, environmental and social biological sciences, semiconductor device modeling. In this talk, we will study a class of kinetic equations, such as the Boltzmann, epidemic transport, Schrödinger equations with multiple scales and random parameters, then introduce the multi-fidelity approach to efficiently solve these models, with different choices of the low-fidelity models. Error estimates and numerical experiments for these models will be shown. This is a joint work with several collaborators including Lorenzo Pareschi, Xueyu Zhu, Shi Jin, etc.