معرفی
Zhilin Li is a Professor in the Department of Mathematics at North Carolina State University. He is affiliated with the College of Sciences and specializes in numerical analysis, scientific computing, and partial differential equations. His research focuses on developing numerical methods for interface problems, irregular domains, and complex fluid dynamics systems.
Education: PhD in Applied Mathematics from the University of Washington (1994).
Research interests include: numerical methods for PDEs with free boundaries, finite difference/element methods, computational fluid dynamics (CFD), and biological flow simulations. He has contributed to advancing high-order compact schemes, immersed interface methods, and adaptive finite element techniques.
Recent work emphasizes solving anisotropic diffusion problems, moving contact line dynamics, and multiphase flow challenges in engineering and biomedical contexts. His methods address accuracy and stability in complex geometries and discontinuous coefficients.
Key contributions include the Immersed Interface Method (IIM) for interface problems and novel finite difference schemes for irregular domains. His research spans applications from petroleum engineering (wellbore stability) to neuroscience (neuroregeneration).
Grants and collaborations are implied through his publications, though specific funding details are not listed here. He is actively involved in interdisciplinary projects combining mathematics with engineering and life sciences.
