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个人简介
My research lies in the interdisciplinary intersection of mathematics, physics, engineering and computational science. More specifically, I do research in computational mathematics that involves numerical analysis and nonlinear dynamics. Within numerical analysis, I am interested in finite element methods and applied functional analysis. In the last few years, I have helped develop some of the latest advances in discontinuous Petrov-Galerkin (DPG) methods, which are very effective at solving partial differential equations (PDEs), and have many physical applications. Within nonlinear dynamics, I like to study hydrodynamic stability of classical flows, like plane Couette flow. Here, (fluid) dynamical systems are posed in the form of a semidefinite program (SDP) with sum-of-squares (SOS) constraints, and then a computer is used to derive some important stability properties of the dynamical system. Recently I’ve been trying to combine these two lines of research.
研究兴趣
论文共 15 篇作者统计合作学者相似作者
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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2023)
arXiv (Cornell University)no. 4 (2023)
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作者统计
#Papers: 15
#Citation: 265
H-Index: 9
G-Index: 10
Sociability: 3
Diversity: 1
Activity: 14
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