An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation. - Yibao Li; Hyun Geun Lee; Darae Jeong; Junseok Kim (Comput. Math. Appl., 2010)

A phase-field approach for minimizing the area of triply periodic surfaces with volume constraint. - Seong-Deog Yang; Hyun Geun Lee; Junseok Kim (Comput. Phys. Commun., 2010)

An efficient and accurate numerical algorithm for the vector-valued Allen-Cahn equations. - Hyun Geun Lee; Junseok Kim (Comput. Phys. Commun., 2012)

Numerical simulation of the three-dimensional Rayleigh-Taylor instability. - Hyun Geun Lee; Junseok Kim (Comput. Math. Appl., 2013)

A semi-analytical Fourier spectral method for the Allen-Cahn equation. - Hyun Geun Lee; June-Yub Lee (Comput. Math. Appl., 2014)

A simple and robust boundary treatment for the forced Korteweg-de Vries equation. - Hyun Geun Lee; Junseok Kim (Commun. Nonlinear Sci. Numer. Simul., 2014)

First and second order operator splitting methods for the phase field crystal equation. - Hyun Geun Lee; Jaemin Shin 001; June-Yub Lee (J. Comput. Phys., 2015)

High-order and mass conservative methods for the conservative Allen-Cahn equation. - Hyun Geun Lee (Comput. Math. Appl., 2016)

A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation. - Yibao Li; Hyun Geun Lee; Binhu Xia; Junseok Kim (Comput. Phys. Commun., 2016)

First and second order numerical methods based on a new convex splitting for phase-field crystal equation. - Jaemin Shin 001; Hyun Geun Lee; June-Yub Lee (J. Comput. Phys., 2016)

A semi-analytical Fourier spectral method for the Swift-Hohenberg equation. - Hyun Geun Lee (Comput. Math. Appl., 2017)

Convex Splitting Runge-Kutta methods for phase-field models. - Jaemin Shin 001; Hyun Geun Lee; June-Yub Lee (Comput. Math. Appl., 2017)

A new conservative vector-valued Allen-Cahn equation and its fast numerical method. - Junseok Kim; Hyun Geun Lee (Comput. Phys. Commun., 2017)

Unconditionally stable methods for gradient flow using Convex Splitting Runge-Kutta scheme. - Jaemin Shin 001; Hyun Geun Lee; June-Yub Lee (J. Comput. Phys., 2017)

A Second-Order Operator Splitting Fourier Spectral Method for Models of Epitaxial Thin Film Growth. - Hyun Geun Lee; Jaemin Shin 001; June-Yub Lee (J. Sci. Comput., 2017)

A second-order operator splitting Fourier spectral method for fractional-in-space reaction-diffusion equations. - Hyun Geun Lee (J. Comput. Appl. Math., 2018)

Numerical Simulation of Pattern Formation on Surfaces Using an Efficient Linear Second-Order Method. - Hyun Geun Lee (Symmetry, 2019)

Pinning boundary conditions for phase-field models. - Hyun Geun Lee; Junxiang Yang; Junseok Kim (Commun. Nonlinear Sci. Numer. Simul., 2020)

A new conservative Swift-Hohenberg equation and its mass conservative method. - Hyun Geun Lee (J. Comput. Appl. Math., 2020)

Modeling and simulation of droplet evaporation using a modified Cahn-Hilliard equation. - Hyun Geun Lee; Junxiang Yang; Sang-Kwon Kim; Junseok Kim (Appl. Math. Comput., 2021)

A non-iterative and unconditionally energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity. - Hyun Geun Lee (Appl. Math. Lett., 2022)

Energy quadratization Runge-Kutta scheme for the conservative Allen-Cahn equation with a nonlocal Lagrange multiplier. - Hyun Geun Lee; Jaemin Shin 001; June-Yub Lee (Appl. Math. Lett., 2022)

Motion by Mean Curvature with Constraints Using a Modified Allen-Cahn Equation. - Soobin Kwak; Hyun Geun Lee; Yibao Li; Junxiang Yang; Chaeyoung Lee; Hyundong Kim; Seungyoon Kang; Junseok Kim (J. Sci. Comput., 2022)

A High-Order and Unconditionally Energy Stable Scheme for the Conservative Allen-Cahn Equation with a Nonlocal Lagrange Multiplier. - Hyun Geun Lee; Jaemin Shin 001; June-Yub Lee (J. Sci. Comput., 2022)

A linear second-order convex splitting scheme for the modified phase-field crystal equation with a strong nonlinear vacancy potential. - Hyun Geun Lee (Appl. Math. Lett., 2024)