Machine Learning and Scientific Computing (MLSC)
[S4] S. Ko, S. Yun, and Y. Hong, Convergence analysis of unsupervised Legendre-Galerkin neural networks for linear second-order elliptic PDEs, Submitted.
[S3] G.-M. Gie, Y. Hong, and C.-Y. Jung, Semi-analytic PINN methods for singularly perturbed boundary value problems, Submitted.
[S2] S. Kim, S. Yun, H. Bae, M. Lee, and Y. Hong, Physics-informed convolutional transformer for predicting volatility surface, Submitted.
[S1] B. Chudomelka, Y. Hong, H. Kim, J. Morgan, and J. Park, Deep neural network motivated by Legendre-Galerkin approximation, submitted.
Articles Published or Accepted
 J. Choi, N. Kim, and Y. Hong, Unsupervised Legendre-Galerkin Neural Network for Solving Partial Differential Equations, IEEE Access, 2023
 N. Kim, D. Lee, and Y. Hong, Data-efficient deep generative model with discrete latent representations for high-fidelity digital materials, ACS Materials Letters, 2023
 N. Kang, B. Lee, Y. Hong, S. Yun, E. Park, PIXEL: Physics-Informed Cell Representations for Fast and Accurate PDE Solvers, AAAI, 2022
 B. Ahn, C. Kim, Y. Hong, and H. Kim, Invertible Monotone Operators for Normalizing Flows, Neural Information Processing Systems (Neurips), 2022
 Y. Hong and D. P. Nicholls, Data-driven design of thin-film optical systems using deep active learning, Optics Express, 2022.
 Y. Hong and J. Bona, Numerical study of the generalized Korteweg-de Vries equations with oscillating nonlinearities and boundary conditions, Water Waves, 2022.
 A. Bousquet, W. Conrad, O. Sadat, N. Vardanyan, and Y. Hong, Deep learning simulation of the SIRD model of Covid-19 with vaccination effects, Scientific Reports, 2022.
 J. Choi, Y. Hong, C.-Y. Jung, and H. Lee, Viscosity approximation of the solution to Burgers' equations with shock layers, Applicable Analysis, 2022.
 H. Heo, D. Ko, J. Lee, Y. Hong, and H. Kim, Search-and-Attack: Temporally sparse adversarial perturbations on videos, IEEE Access, Vol. 9, 2021.
 H.-M. Woo, Y. Hong, B. Kwon, and B.-J Yoon, Accelerating optimal experimental design for robust synchronization of uncertain Kuramoto oscillator model using machine learning, IEEE Transactions on Signal Processing, Vol. 69, 2021
 Y. Hong and D. P. Nicholls, On the consistent choice of effective permittivity and effective conductivity for modeling graphene, Journal of the Optical Society of America A, Vol. 38, 2021.
 Y. Hong, B. Kwon and B.-J. Yoon, Optimal experimental design for uncertain systems based on coupled differential equations, IEEE Access, Vol. 9, 2021
 B. Kim, B. Chudomelka, J. Park, J. Kang, Y. Hong, H. Kim, Robust neural networks inspired by strong stability preserving Runge-Kutta methods, European Conference on Computer Vision, 2021.
 Y. Hong and D. P. Nicholls, A rigorous numerical analysis of the transformed field expansion method for diffraction by periodic and layered structures, SIAM Journal on Numerical Analysis, 59(1), 2021.
 M. Chekroun, Y. Hong, and R. Temam, Enriched numerical scheme for singularly perturbed Quasi-Geostrophic equations, Journal of Computational Physics, Vol. 416, 2020.
 A. Bousquet, Y. Hong, R. Temam, and J. Tribbia, Numerical simulations of inviscid hydrostatic primitive equations of humid atmosphere above a mountain, Journal of Scientific Computing, Vol. 83, 2020.
 Y. Hong, M. Otten, M. Min, S. Gray, and D. Nicholls, Periodic Corrugations to Increase Efficiency of Thermophotovoltaic Emitting Structures, Applied Physics Letters, Vol. 114 (5), 2019.
 J. Bona, H. Chen, Y. Hong, and O. Karakashian, Numerical study of the second-order correct Hamiltonian model for unidirectional water waves, Water Waves, Vol. 1, 3-40, 2019.
 Y. Hong and D. P. Nicholls, A High-Order Perturbation of Surfaces Method for Vector Electromagnetic Scattering by Doubly Layered Periodic Crossed Gratings, Journal of Computational Physics, Vol. 372, 748-772, 2018.
 Y. Hong, C.-Y. Jung, and R. Temam, Boundary layer analysis for the stochastic nonlinear reaction-diffusion equations, Physica D, Vol. 376–377, no. 1 pp. 247-258, 2018.
 Y. Hong and D. P. Nicholls, A high-order perturbation of surfaces method for scattering of linear waves by periodic multiply layered gratings in two and three dimensions, Journal of Computational Physics, Vol. 345, no. 15, pp. 162-188, 2017.
 Y. Hong and C.-Y. Jung, Enriched spectral method for stiff convection-dominated equations, Journal of Scientiﬁc Computing, Vol. 74, no. 3, pp 1325–1346, 2018.
 Y. Hong and D. P. Nicholls, A stable high-order perturbation of surfaces method for numerical simulation of diﬀraction problems in triply layered media, Journal of Computational Physics, Vol. 330, no. 1, pp. 1043-1068, 2017.
 D. Bouche, Y. Hong, and C.-Y. Jung, Asymptotic analysis of the scattering problem for the Helmholtz equations with high wave numbers, Discrete and Continuous Dynamical Systems - Series A, Vol. 37, no. 3, pp. 1159-1181, 2017.
 Y. Hong, Global attractor of atmospheric equations, Asymptotic Analysis, vol. 96, no. 2, pp. 91-107, 2016.
 A. Bousquet, M. Chekroun, Y. Hong, R. Temam, and J. Tribbia, Numerical simulations of the humid atmosphere above a mountain, Mathematics of Climate and Weather Forecasting, vol. 1, no.1, 96-126, 2015.
 Y. Hong and D. Wirosoetisno, Timestepping schemes for the 3d Navier-Stokes equations, Applied Numerical Mathematics, Vol. 96 (2015), 153-164.
 Y. Hong, C.-Y. Jung, and R. Temam, Singular perturbation analysis of time dependent convection-diﬀusion equations in a circle, Nonlinear Analysis: Theory, Methods & Applications, Vol. 119 (2015), 127-148.
 Y. Hong, Numerical approximation of the singularly perturbed heat equation in a circle, Journal of Scientiﬁc Computing, Vol. 62 (2015), no. 1, 1-24.
 A. Bousquet, G.-M. Gie, Y. Hong, and J. Laminie, A higher order ﬁnite volume resolution method for a system related to the inviscid primitive equations in a complex domain, Numerische Mathematik, Vol. 128 (2014), no. 3, 431-461.
 Y. Hong, C.-Y. Jung, and R. Temam, On the numerical approximations of stiﬀ convection-diﬀusion equations in a circle, Numerische Mathematik, Vol. 127 (2014), no. 2, 291-313.
 Y. Hong, C.-Y. Jung, and J. Laminie, Singularly perturbed reaction-diﬀusion equations in a circle with numerical applications, International Journal of Computer Mathematics, Vol. 90 (2013), no. 11, 2308-2325.
 Q. Chen, Y. Hong, and R. Temam, Analysis of a penalty method, Journal of Scientific Computing, Vol. 53 (2012), no. 1, 3-34.