Chunyan Li's Website

Research

Research Interests

I am interested in interdisciplinary research and devote myself to bridging mathematics with physics, chemistry, biology, medicine, and life science, using data science, machine learning tools, and mathematical modeling as well as classical numerical analysis. My primary research interest is data-driven modeling and computation which combines machine learning with partial differential equations and dynamical systems to solve interdisciplinary problems. I am interested in developing physics-informed learning to discover and solve partial differential equations as well as structure-preserving deep learning methods during this process. Another research topic of interest is to design high-order energy stable numerical schemes for partial differential equations, especially the ones coupled with dynamical boundary conditions which are natural in many small scaled systems.

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