Postdoctoral Researcher
Seoul National University
Email: jl74942 (at) snu.ac.kr
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RESEARCH AREA
RESEARCH AREA
Multivariate Spline-Based Collocation Methods for Numerical Solutions to PDEs
– General elliptic second-order equations
– 2D and 3D Stokes and Navier–Stokes equations
– 2D and 3D Monge–Ampère equations and the optimal transport problem
– Keller–Segel equations (preventing singularity formation in specific models)
– Nonlinear elliptic PDEs
– Singularly perturbed PDEs with Corrector functions
– Helmholtz equations
AI for PDEs
– Singularly perturbed PDEs with Corrector functions
– Spatial interpolation at ungauged locations
WORK EXPERIENCE
WORK EXPERIENCE
Seoul National University, Seoul, South Korea
Postdoctoral Researcher (Feb 2025 – Present)Korea Advanced Institute of Science & Technology, Daejeon, South Korea
Postdoctoral Researcher (Sep 2024 – Jan 2025)Ewha Womans University, Seoul, South Korea
Postdoctoral Researcher (Sep 2023 – Aug 2024)
Education
Education
Ph.D. in Mathematics, University of Georgia
Aug 2017 – Aug 2023M.S. in Mathematics, Pusan National University
Mar 2014 – Feb 2016B.S. in Mathematics, Pusan National University
Mar 2010 – Feb 2014
RESEARCH EXPERIENCE
RESEARCH EXPERIENCE
Hu, W., Lai, M.J., Lee, J. Optimal Control for Suppression of Singularity in Chemotaxis via Flow Advection. Appl Math Optim 89, 57 (2024) (https://www.youtube.com/watch?v=5tlUpCudy3Y)
Lai, M.-J., Lee, J. Trivariate Spline Collocation Methods for Numerical Solution to 3D Monge-Ampère Equation. J Sci Comput 95, 56 (2023). https://link.springer.com/article/10.1007/s10915-023-02183-9#citeas
Lai, M.-J., Lee, J. A Multivariate Spline based Collocation Method for Numerical Solution of PDEs, SIAM J. Numerical Analysis, vol. 60 (2022) pp. 2405–2434, https://epubs.siam.org/doi/epdf/10.1137/22M1469602
My Work
My Work
Optimal Control Problem
Teaching Experience
Teaching Experience
Teaching Experience
Teaching Experience
Instructor, PreCalculus, University of Georgia (Jan 2023-May 2023)
Taught 2 sections with a total student enrollment of 36.
Instructor, Calculus, University of Georgia (Aug 2021-Jan 2023)
Taught 2 sections with a total student enrollment of 36.
Instructor, Precalculus, University of Georgia (Jan 2021-May 2021)
Taught 2 sections with a total student enrollment of 38.
Instructor, Precalculus, University of Georgia (Aug 2019-April 2020)
Taught 3 sections with a total student enrollment of 51.
Tutoring Experience
Tutoring Experience
Tutor, University of Georgia (Aug 2017-Dec 2018, Jan 2022-Jan 2023)
Assisted students with problem-solving in Calculus 1, 2, 3, Differential Equations, and Linear Algebra.
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