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 DIRECT METHOD FOR SOLVING THREE-DIMENSIONAL ELLIPTIC INTERFACE PROBLEMS
- Gamage, K., Peng, Y., & Li, Z. (2024), INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 21(3), 353–374. https://doi.org/10.4208/ijnam2024-1014
- 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
- Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions
- Li, Z., Pan, K., & Ruiz-Álvarez, J. (2024, December 11). , . https://doi.org/10.1093/imanum/drae101
- 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
- The Immersed Interface Method for Navier-Stokes Equations with Interfaces in Cylindrical Coordinates
- Ruiz-Álvarez, J., Dong, B., & Li, Z. (2024), Communications on Applied Mathematics and Computation. https://doi.org/10.1007/s42967-024-00445-3
- 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
