Publications

[21] A. Bousquet, Y. Hong, R. Temam, and J. Tribbia, Numerical simulations of inviscid hydrostatic primitive equations of humid atmosphere above a mountain, submitted.

[20] M. Chekroun, Y. Hong, and R. Temam, Enriched numerical scheme for singularly perturbed Quasi-Geostropic equations, submitted.

[19] Y. Hong and D. P. Nicholls, A Rigorous Numerical Analysis of the Transformed Field Expansion Method for Diffraction by Periodic and Layered Structures, submitted.

[18] Y. Hong and J. Bona, Numerical study of the generalized Korteweg-de Vries equations with oscillating nonlinearity and boundary conditions, submitted.

[17] 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.

[16] 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.

[15] Y. Hong and D. P. Nicholls, A High-Order Perturbation of Surfaces Method for Vector Electromagnetic Scattering by Doubly Layered Periodic Crossed GratingsJournal of Computational Physics, Vol. 372, 748-772, 2018. 

[14] Y. Hong, C.-Y. Jung, and R. Temam, Boundary layer analysis for the stochastic nonlinear reaction-diffusion equationsPhysica D, Vol. 376–377, no. 1 pp. 247-258, 2018.

[13] 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 dimensionsJournal of Computational Physics, Vol. 345, no. 15, pp. 162-188, 2017.

[12] 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.

[11] 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.

[10] 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.

[9] Y. Hong, Global attractor of atmospheric equations, Asymptotic Analysis, vol. 96, no. 2, pp. 91-107, 2016.

[8] 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.

[7] Y. Hong and D. Wirosoetisno, Timestepping schemes for the 3d Navier-Stokes equations, Applied Numerical Mathematics, Vol. 96 (2015), 153-164.

[6] 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.

[5] Y. Hong, Numerical approximation of the singularly perturbed heat equation in a circle, Journal of Scientific Computing, Vol. 62 (2015), no. 1, 1-24.

[4] 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.

[3] 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.

[2] 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.

[1] Q. Chen, Y. Hong, and R. Temam, Analysis of a penalty method, Journal of Scientific Computing, Vol. 53 (2012), no. 1, 3-34.