Singular perturbation problems in a general smooth domain. - Gung-Min Gie (Asymptot. Anal., 2009)

Asymptotic analysis of the Navier-Stokes equations in a curved domain with a non-characteristic boundary. - Gung-Min Gie; Makram Hamouda; Roger Temam (Networks Heterog. Media, 2012)

Vorticity layers of the 2D Navier-Stokes equations with a slip type boundary condition. - Gung-Min Gie; Chang-Yeol Jung (Asymptot. Anal., 2013)

A higher order Finite Volume resolution method for a system related to the inviscid primitive equations in a complex domain. - Arthur Bousquet; Gung-Min Gie; Youngjoon Hong; Jacques Laminie (Numerische Mathematik, 2014)

Validation of a 2D cell-centered Finite Volume method for elliptic equations. - Gung-Min Gie; Chang-Yeol Jung; Thien Binh Nguyen (Math. Comput. Simul., 2019)

Enriched Finite Volume Approximations of the Plane-Parallel Flow at a Small Viscosity. - Gung-Min Gie; Chang-Yeol Jung; Hoyeon Lee (J. Sci. Comput., 2020)

Semi-analytic PINN methods for singularly perturbed boundary value problems. - Gung-Min Gie; Youngjoon Hong; Chang-Yeol Jung (CoRR, 2022)

Semi-analytic physics informed neural network for convection-dominated boundary layer problems in 2D. - Gung-Min Gie; Youngjoon Hong; Chang-Yeol Jung; Dongseok Lee (CoRR, 2023)

Semi-analytic shooting methods for Burgers' equation. - Gung-Min Gie; Chang-Yeol Jung; Hoyeon Lee (J. Comput. Appl. Math., 2023)

Singular layer physics informed neural network method for plane parallel flows. - Teng-Yuan Chang; Gung-Min Gie; Youngjoon Hong; Chang-Yeol Jung (Comput. Math. Appl., 2024)

A staggered discontinuous Galerkin method for the Stokes problem on rectangular meshes. - Hyea Hyun Kim; Gung-Min Gie; Chang-Yeol Jung; Thien Binh Nguyen (Comput. Math. Appl., 2024)

Singular layer PINN methods for Burgers' equation. - Teng-Yuan Chang; Gung-Min Gie; Youngjoon Hong; Chang-Yeol Jung (CoRR, 2024)

Semi-analytic PINN methods for boundary layer problems in a rectangular domain. - Gung-Min Gie; Youngjoon Hong; Chang-Yeol Jung; Tselmuun Munkhjin (J. Comput. Appl. Math., 2024)

Singular layer physics-informed neural network method for convection-dominated boundary layer problems in two dimensions. - Gung-Min Gie; Youngjoon Hong; Chang-Yeol Jung; Dongseok Lee (J. Comput. Appl. Math., 2026)