Preprint & Submitted
Choi, W., and Lee, M.-S. "Convergence property of the Quantized Distributed Gradient descent with constant stepsizes and an effective strategy for the stepsize selection"
Hwang, B.-H., and Lee, M.-S. "Stationary solution to the boundary value problem of relativistic BGK model for gas mixtures in a slab"
Cho, S.-Y., Hwang, B.-H., Lee, M.-S., and Yun, S.-B. "Relativistic BGK model for reactive gas mixtures"
Lee, D.-C., Lee, K., Oh, J., Lee, M.-S., Hong, Y., and Park, S. "Physics-Informed Neural Networks for the Fully Coupled Electrochemical-Thermal P2D Model of Lithium-Ion Batteries"
Publications
Lee, M.-S., Yun, T., Hong, Y., and Kim, N. "Spectral coefficient learning via operator networks for inverse problems of parametric partial differential equations" Engineering Applications of Artificial Intelligence, 166(B) 113665 (2026)
Choi, W., Lee, M.-S., and Yun, S.-B. “Inexact online proximal mirror descent for time-varying composite optimizations” Optimization, 1–22 (2025)
Lee, M.-S., Oh, J., Lee, D.-C., Lee, K., Park, S., and Hong, Y. “Forward and Inverse Simulation of Pseudo-Two-Dimensional Model of Lithium-Ion Batteries Using Neural Networks”
Computer Methods in Applied Mechanics and Engineering 438(B), 117856 (2025)
Brull, S., Kim, D., Lee, M.-S., and Yun, S.-B. "Stationary Mixture BGK Models with the Correct Fick Coefficients"Journal of Statistical Physics 191, 69 (2024)
Hwang, B.-H., Lee, M.-S., and Yun, S.-B. “Relativistic BGK model for gas mixture” Journal of Statistical Physics 191, 59 (2024)
Kim, D., Lee, M.-S., and Yun, S.-B. “Entropy production estimate for the ES-BGK model with the correct Prandtl number.” Journal of Mathematical Analysis and Applications 514.2 (2022)
Kim, D., Lee, M.-S., and Yun, S.-B. “Stationary BGK models for chemically reacting gas in a slab” Journal of Statistical Physics 184.2 (2021)
Kim, D., Lee, M.-S., and Yun, S.-B. “On the positivity of an auxiliary function of the BGK model for slow chemical reactions” Applied Mathematics Letters 113 (2021)
In preparation
Lee, M.-S., Park. D, and Hong, Y. "Least squares objectives in Deep Learning Optimization via Restricted Strong Convexity"
Bae, H.-O., Cho, S.-Y, and Lee, M.-S. "Physics-informed Neural Networks for solving incompressible cavity flows"
Ko, G., Lee, M.-S., and Son, S.-J. "The large amplitude solution of the Boltzmann equation for gas mixtures"
Lee, M.-S., Ko, G., Son, S.-J., and Cho, S.-Y. "Physics-informed Neural Networks with weighted L2 residual loss for solving BGK models"
Jeong, H.-W., Kim, D., Lee, M.-S., and Yun, S.-B. "Incopressible Euler limit of the polyatomic elliipsoidal statastical BGK model"