Former William H. Kruskal Instructor
Research
Applied analysis and numerical computation for physics and engineering problems have always been a passion of mine. There have been models developed for describing different systems basing on different problems and my research interests are to numerically simulate mathematical models and analyze the error in calculating the phenomena. During my Ph.D. study, I worked on calculating effective diffusivity in chaotic and random flows. Recently I am focusing on reduced-order models in the propagation of chaos and their probabilistic analysis. Related methods include, among others, POD, tensor-train, time-dependent PCE, and some machine learning algorithms.