B. Chudomelka, Y. Hong, H. Kim, and J. Park, Deep Neural Network Motivated by Legendre-Galerkin Approximation, submitted.
 Y. Hong, B. Kwon and B.-J. Yoon, Optimal Experimental Design for Uncertain Systems Based on Coupled Differential Equations, submitted.
 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, Accepted.
 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, Accepted.
 J. Choi, Y. Hong, C.-Y. Jung, and H. Lee, Viscosity approximation of the solution to Burgers' equations with shock layers, Applicable Analysis, Accepted.
 M. Chekroun, Y. Hong, and R. Temam, Enriched numerical scheme for singularly perturbed Quasi-Geostrophic equations, Journal of Computational Physics, Accepted.
 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, Accepted.
 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.