B.S. in Mathematics
Pedagogical and Technological University of Colombia (UPTC), Tunja, Boyaca, Colombia

M.S. in Mathematics
National University of Colombia (UNAL), Bogota, Colombia

Ph.D. in Applied Mathematics
University of São Paulo (USP), São Paulo, Brazil

Dr. Leonardo Andrés Poveda Cuevas is a Colombian applied mathematician. He earned his B.S. from the Pedagogical and Technological University of Colombia (2009), his M.S. from the National University of Colombia (2015), and his Ph.D. in Applied Mathematics from the University of São Paulo (2021). His career includes roles as a lecturer at UPTC and UNAL, a teaching assistant at USP, and postdoctoral fellowships at the Chinese University of Hong Kong (2022-2024) and the University of Hong Kong (2025). At WKU, he focuses on developing multiscale numerical methods for environmental and climate modeling. His notable professional training includes research under Professors Eric Chung and Guanglian Li, strengthening his expertise in computational mathematics. He has received the Yu Takeuchi Honor Award (2016) and a meritorious distinction for his master’s degree (2015) from the National University of Colombia. His accomplishments include publications in journals like the Journal of Computational Physics, often as the corresponding author, advancing numerical methods for heterogeneous media. In his leisure time, Dr. Poveda enjoys science fiction movies, Sudoku, and solving Rubik's cubes.

Dr. Poveda Cuevas's research concentrates on the numerical analysis of partial differential equations, with a focus on error analysis for finite element methods (FEM) and finite volume methods (FVM). He specializes in generalized multiscale finite element methods for nonlinear, time-dependent problems in highly heterogeneous media, including constraint energy minimizing techniques and convergence analysis for compressible flows. His work also includes pointwise error analysis for FEM and GMsFEM.

Fall 2025 MATH2415 Calculus I

·         Meshfree generalized multiscale exponential integration method for parabolic problems. Journal of Computational and Applied Mathematics, Vol. 459, Article 116367, DOI: 10.1016/j.cam.2024.116367 (May 2025).

·         A second-order exponential integration constraint energy minimizing generalized multiscale method for parabolic problems. Journal of Computational Physics, Vol. 502, Article 112796, DOI: 10.1016/j.jcp.2024.112796 (April 2024).

·         Convergence of the CEM-GMsFEM for compressible flow in highly heterogeneous media. Computers & Mathematics with Applications, Vol. 151, pp. 117-130, DOI: 10.1016/j.camwa.2023.09.033 (December 2023). 

·         On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere. Advances in Computational Mathematics, Vol. 49, Article 36, DOI: 10.1007/s10444-022-10041-3 (June 2023).