Gyeonggyu Lee
(이경규)

2023

STUDY ON DECOULED PROJECTION METHOD FOR CAHN-HILLIARD EQUATION

G LEE, S LEE

JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS 27 (4) 272-280 (2023)

Monte Carlo simulation of the coffee-ring effect on porous papers

Y Hwang, S Kim, C Lee, S Kwak, G Lee, J Kim

Theoretical and Computational Fluid Dynamics 37 (5) 627-637 (2023)

A second-order time-accurate unconditionally stable method for a gradient flow for the Modica–Mortola functional

S Ham, S Kwak, C Lee, G Lee, J Kim

Journal of Scientific Computing 95 (2) 63 (2023)

A simple and efficient numerical method for the Allen–Cahn equation on effective symmetric triangular meshes

Y Hwang, S Ham, C Lee, G Lee, S Kang, J Kim

Electronic Research Archive 31 (8), 4557-4578 (2023)

An unconditionally stable difference scheme for the two‐dimensional modified Fisher–Kolmogorov–Petrovsky–Piscounov equation

S Kwak, S Kang, S Ham, Y Hwang, G Lee, J Kim

Journal of Mathematics 2023 (1), 5527728 (2023)

2024

An operator splitting method for the Cahn–Hilliard equation on nonuniform grids

G Lee, S Kwak, Y Choi, S Lee, S Kang, S Ham, J Kim

Computers & Mathematics with Applications 167, 207-216 (2024)

Shape transformation on curved surfaces using a phase-field model

H Kim, S Kang, G Lee, S Yoon, J Kim

Communications in Nonlinear Science and Numerical Simulation 133, 107956 (2024)

Hybrid numerical method for the Allen–Cahn equation on nonuniform grids

H Kim, G Lee, S Kang, S Ham, Y Hwang, J Kim

Computers & Mathematics with Applications 158, 167-178 (2024)

Fast and efficient numerical method for solving the Allen–Cahn equation on the cubic surface

Y Hwang, J Yang, G Lee, S Ham, S Kang, S Kwak, J Kim

Mathematics and Computers in Simulation 215, 338-356 (2024)

2025

A convergent fourth-order finite difference scheme for the Black-Scholes equation
S Kang, S Kwak, G Lee, Y Hwang, S Ham, J Kim
Comutational Economics (2025)

Allen–Cahn equation with matrix-valued anisotropic mobility in two-dimensional space

G Lee, S Lee

Computational and Applied Mathematics 44 (1), 122 (2025)

A fourth-order finite difference method for the Allen–Cahn equation

S Ham, S Kang, Y Hwang, G Lee, S Kwak, J Kim

Journal of Computational and Applied Mathematics 453, 116159 (2025)

Unconditionally energy gradient stable numerical scheme for Cahn-Hilliard equation with high-order degenerate mobility
G Lee, S Lee,
Computers & Mathematics with Applications 196, 263-287 (2025) 

2026

First, and Second order unconditionally energy gradient stable, unique solvable, and mass preserving linear numerical scheme for Cahn--Hilliard equation with source term

G Lee, S Lee,
Computers & Mathematics with Applications 206, 1-15 (2026)  

Thermodynamical Allen-Cahn equation with high-order polynomial free energy

G Lee, S Lee, 

Communications in Computational Physics (accepted)

Submission

• G. Lee, S. Lee, Efficient and spectrally accurate semi-implicit energy gradient stable method for multiphase projection model

• G. Lee, S. Lee, Positive-preserving and Lyapunov energy stable scheme for classical Keller-Segel model