Zhilin Li
Mathematics
- Phone: 919-515-3210
- Email: zhilin@ncsu.edu
- Office: SAS Hall 3148
- Website: https://zhilin.math.ncsu.edu/
Research Interests
- Numerical analysis and scientific computing
- Numerical methods for partial differential equations involving free boundary and moving interface problems
- Problems on irregular domains, finite difference and finite element methods
- CFD, and biological flows.
Education
| Degree | Program | School | Year |
|---|---|---|---|
| Ph.D. | Doctor of Philosophy in Mathematics | University of Washington | 1994 |
Publications
- A generalized level-set immersed interface method with application
- Xu, J.-J., & Li, Z. (2024), COMPUTERS & FLUIDS, 283. https://doi.org/10.1016/j.compfluid.2024.106409
- A pressure Poisson equation-based second-order method for solving two-dimensional moving contact line problems with topological changes
- Chai, S., Li, Z., Zhang, Z., & Zhang, Z. (2024), COMPUTERS & FLUIDS, 269. https://doi.org/10.1016/j.compfluid.2023.106117
- Coupled transformation methods and analysis for BVPs on infinite domains
- Li, Z., & Pan, K. (2024, July), JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol. 444. https://doi.org/10.1016/j.cam.2024.115771
- Fully accurate approximation of piecewise smooth functions using corrected B-spline quasi-interpolants
- Li, Z., Pan, K., Ruiz, J., & Yanez, D. F. (2024), COMPUTATIONAL & APPLIED MATHEMATICS, 43(4). https://doi.org/10.1007/s40314-024-02651-4
- High order compact augmented methods for Stokes equations with different boundary conditions
- Pan, K., Li, J., & Li, Z. (2024), COMPUTER PHYSICS COMMUNICATIONS, 301. https://doi.org/10.1016/j.cpc.2024.109233
- New third-order convex splitting methods and analysis for the phase field crystal equation
- Ye, Z., Zheng, Z., & Li, Z. (2024, February 28), NUMERICAL ALGORITHMS, Vol. 2. https://doi.org/10.1007/s11075-024-01782-3
- A CELL-CENTERED MULTIGRID SOLVER FOR THE FINITE VOLUME DISCRETIZATION OF ANISOTROPIC ELLIPTIC INTERFACE PROBLEMS ON IRREGULAR DOMAINS*
- Pan, K., Wu, X., Hu, H., & Li, Z. (2023, December 14), JOURNAL OF COMPUTATIONAL MATHEMATICS, Vol. 12. https://doi.org/10.4208/jcm.2308-m2023-0029
- A Stable FE-FD Method for Anisotropic Parabolic PDEs with Moving Interfaces
- Dong, B., Li, Z., & Ruiz-Alvarez, J. (2023, July 10), COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, Vol. 7. https://doi.org/10.1007/s42967-023-00281-x
- Accurate derivatives approximations and applications to some elliptic PDEs using HOC methods
- Li, J., Li, Z., & Pan, K. (2023), APPLIED MATHEMATICS AND COMPUTATION, 459. https://doi.org/10.1016/j.amc.2023.128265
- Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms
- Amat, S., Li, Z., Ruiz-Alvarez, J., Solano, C., & Trillo, J. C. (2023), JOURNAL OF SCIENTIFIC COMPUTING, 95(3). https://doi.org/10.1007/s10915-023-02191-9
