Preprint & Submitted
Choi, W., Lee, M.-S., and Yun, S.-B. “Inexact online proximal mirror descent for time-varying composite optimizations”
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"
Lee, M.-S., Yun, T., Hong, Y., and Kim, N. "Spectral Coefficient Learning via Operator Networks for Inverse Problems of Parametric PDEs"
Cho, S.-Y., Hwang, B.-H., Lee, M.-S., and Yun, S.-B. "Relativistic BGK model for reactive gas mixture"
Publications
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
Hwang, B.-H., and Lee, M.-S., "Transport coefficients from a relativistic BGK models for gas mixtures"
Lee, M.-S., and Park, S. "Entropy production estimate for BGK-type models for gas mixtures"
Park. D, Lee, M.-S., and Hong, Y. "Understanding Optimization of Operator Networks with Variational Loss for Solving PDEs"
Bae, H.-O., Cho, S.-Y, Lee, M.-S., and Yun, S.-B. "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"
Ko, G., Lee, M.-S., and Son, S.-J. "Physics-informed Neural Networks with weighted L2 residual loss for solving BGK models"