Education
2021 - 2025 Ph. D., Mathematics, Korea University, Korea
2014 - 2021 B.S., Mathematics Education, Daegu university, Korea
In preparation
Leray projection method for the Navier–Stokes–Cahn–Hilliard system.
Leray projection method for multicomponent Navier–Stokes–Cahn–Hilliard systems.
Decoupled projection method for multicomponent Navier–Stokes–Cahn–Hilliard systems.
Unconditionally energy-stable high-order linear scheme for the Larché–Cahn system
Lattice Boltzmann method for fluid flow on curved surfaces coupled with the Cahn–Hilliard equation.
Physics-informed neural networks for fluid equations on evolving surfaces.
Publication
Y. Hwang, S. Kang, and J. Kim, “A simple numerical algorithm for generating circular porous pattern formation on curved surfaces,” Computational and Applied Mathematics, vol. 45, no. 4, p. 154, 2026.
Y. Hwang and J. Kim, “Maximum principle-preserving explicit scheme for the ternary Allen--Cahn equation,” Numerical Mathematics: Theory, Methods and Applications, 2026.
Y. Hwang, Y. Nam, and J. Kim, “An efficient hybrid numerical method for the high-order Allen--Cahn equation,” Applied Numerical Mathematics, vol. 223, pp. 153–165, 2026.
Y. Hwang, S. Ham, H. G. Lee, H. Kim, and J. Kim, “Numerical algorithms for the phase-field models using discrete cosine transform,” Mechanics Research Communications, vol. 139, 104305, 2024.
Y. Hwang, T. Lee, S. Kwak, S. Kang, S. Ham, and J. Kim, “Robust and accurate reconstruction of the time-dependent continuous volatility from option prices,” Computational and Applied Mathematics, vol. 43, no. 5, 307, 2024.
Y. Hwang, J. Yang, G. Lee, S. Ham, S. Kang, S. Kwak, and J. Kim, “Fast and efficient numerical method for solving the Allen–Cahn equation on the cubic surface,” Mathematics and Computers in Simulation, vol. 215, pp. 338–356, 2024.
Y. Hwang, S. Kim, C. Lee, S. Kwak, G. Lee, and J. Kim, “Monte Carlo simulation of the coffee-ring effect on porous papers,” Theoretical and Computational Fluid Dynamics, vol. 37, no. 5, pp. 627–637, 2023.
2025
S. Ham, S. Kang, Y. Hwang, G. Lee, S. Kwak, J. Kim, “A fourth-order finite difference method for the Allen--Cahn equation,” Journal of Computational and Applied Mathematics, vol. 453, 116159, 2025.
Jyoti, S. Ham, S. Kwak, Y. Hwang, S. Kang, J. Kim, "Stability analysis for Maximum Principle Preserving Explicit Isotropic Schemes of the Allen--Cahn Equation," Journal of Computational Mathematics, 2025.
S. Kang, Y. Hwang, and J. Kim, “Unconditionally stable method for the high-order Allen--Cahn equation,” Journal of Computational Science, 102636, 2025.
S. Kang, S. Kwak, Y. Hwang, and J. Kim, “Positivity preserving and unconditionally stable numerical scheme for the three-dimensional modified Fisher–Kolmogorov–Petrovsky–Piskunov equation,” Journal of Computational and Applied Mathematics, vol. 457, 116273, 2025.
S. Kim, S. Kwak, S. Ham, Y. Hwang, and J. Kim, “Simulation of dendritic growth on a spherical surface using a multi-component phase-field model,” International Communications in Heat and Mass Transfer, vol. 167, 109195, 2025.
H. G. Lee, S. Kwak, S. Ham, Y. Hwang, and J. Kim, “The normalized time-fractional Cahn–Hilliard equatio,” Chaos, Solitons & Fractals, vol. 198, 116450, 2025.
J. Yang, S. Kang, S. Kim, Y. Hwang, S. Kwak, S. Ham, and J. Kim, “An efficient computational method for simulating incompressible fluid flows on a virtual cubic surface,” Communications in Nonlinear Science and Numerical Simulation, vol. 144, 108676, 2025.
C. Yoo, S. Kwak, Y. Hwang, H. Jang, H. Kim, and J. Kim, “Calibration of local volatility surfaces from observed market call and put option prices,” Computational Economics, vol. 65, no. 3, pp. 1147–1168, 2025.
2024
M. Chen, S. Kwak, S. Ham, Y. Hwang, and J. Kim, “Global stability analysis of an extended SUC epidemic mathematical model,” Zeitschrift für Naturforschung A, vol. 79, no. 11, pp. 1033–1040, 2024.
S. Ham, H. Kim, Y. Hwang, S. Kwak, J. Wang, H. Xu, W. Jiang, J. Kim, “A novel phase-field model for three-dimensional shape transformatio,” Computers & Mathematics with Applications, vol. 176, pp. 67–76, 2024.
Jyoti, S. Kwak, S. Ham, Y. Hwang, S. Kang, and J. Kim, “Analysis of the effect of inert gas on alveolar/venous blood partial pressure by using the operator splitting method,” International Journal for Numerical Methods in Biomedical Engineering, vol. 40, no. 8, e3839, 2024.
H. Kim, G. Lee, S. Kang, S. Ham, Y. Hwang, and J. Kim, “Hybrid numerical method for the Allen--Cahn equation on nonuniform grids,” Computers & Mathematics with Applications, vol. 158, pp. 167–178, 2024.
J. Yang, S. Kang, Y. Hwang, S. Kwak, S. Ham, and J. Kim, “Lattice Boltzmann method for variable viscous fluid flow on spherical surface,” Engineering Analysis with Boundary Elements, vol. 165, 105781, 2024.
2023
S. Kwak, S. Ham, Y. Hwang, and J. Kim, “Estimation and prediction of the multiply exponentially decaying daily case fatality rate of COVID-19,” The Journal of Supercomputing, vol. 79, no. 10, pp. 11 159–11 169, 2023.
C. Lee, S. Kwak, Y. Hwang, and J. Kim, “Accurate and efficient finite difference method for the Black–Scholes model with no far-field boundary conditions,” Computational Economics, vol. 61, no. 3, pp. 1207–1224, 2023.
2022
S. Ham, Y. Li, D. Jeong, C. Lee, S. Kwak, Y. Hwang, and J. Kim, “An explicit adaptive finite difference method for the Cahn–Hilliard equation,” Journal of Nonlinear Science, vol. 32, no. 6, 80, 2022.
H. Kim, C. Lee, S. Kwak, Y. Hwang, S. Kim, Y. Choi, and J. Kim, “Three-dimensional volume reconstruction from multi-slice data using a shape transformation,” Computers & Mathematics with Applications, vol. 113, pp. 52–58, 2022.
S. Lee, S. Yoon, C. Lee, S. Kim, H. Kim, J. Yang, S. Kwak, Y. Hwang, and J. Kim, “Effective time step analysis for the Allen–Cahn equation with a high-order polynomial free energy,” International Journal for Numerical Methods in Engineering, vol. 123, no. 19, pp. 4726–4743, 2022.
J. Park, C. Lee, Y. Choi, H. G. Lee, S. Kwak, Y. Hwang, and J. Kim, “An unconditionally stable splitting method for the Allen–Cahn equation with logarithmic free energy,” Journal of Engineering Mathematics, vol. 132, no. 1, 18, 2022.
2021
C. Lee, S. Kwak, S. Kim, Y. Hwang, Y. Choi, and J. Kim, “Robust optimal parameter estimation for the susceptible-unidentified infected-confirmed model,” Chaos, Solitons & Fractals, vol. 153, 111556, 2021.
Conference Presentations
Y. Hwang, An effective explicit scheme for the conservative Allen–Cahn equation on a cubic surface, Poster presentation, 2025 KMS Spring Meeting, Apr. 25, 2025.
Y. Hwang, Fourier-spectral method for the phase-field equations, Oral presentation, 2024 KKMS Annual Meeting, Jun. 22, 2024.
Y. Hwang, Maximum principle preserving operator splitting method for the Allen–Cahn equation on the cubic surface, Poster presentation, 2024 KSIAM Spring Conference, May 18, 2024.
Y. Hwang, Monte Carlo modeling and numerical simulation of the coffee-ring effect, Poster presentation, 2024 KMS Annual Meeting, Oct. 25, 2024.
Y. Hwang, Particle-based hybrid numerical method for solving the multi-dimensional Allen–Cahn equation, Poster presentation, 2024 KSIAM Annual Meeting, Dec. 6, 2024.
Y. Hwang, Benchmark problems for numerical methods of the Allen–Cahn and Cahn–Hilliard equations, Poster presentation, 2023 ICIAM International Congress, Aug. 22, 2023.
Y. Hwang, Susceptible-Unidentified Infected-Confirmed Model for Long-Term Epidemic, Poster presentation, 2021 KSIAM Annual Meeting, Dec. 4, 2021.
Books and Chapters
S. Kwak, S. Kang, Y. Hwang, S. Ham, G. Lee, Y. Choi, and J. Kim, 다상 유체 유동에 대한 상태장 모델링과 멀티그리드 수치기법. Geobooks, Feb. 28, 2023, p. 256, isbn: 9791191346572.
J. Kim, S. Kwak, C. Lee, Y. Hwang, S. Kang, S. Ham, and G. Lee, MATLAB 활용 수치해석. Geobooks, Apr. 1, 2022, p. 210, isbn: 9791191346374.
J. Kim, S. Kim, C. Lee, Y. Choi, S. Kwak, and Y. Hwang, 수학적 모델링 콘텐츠 파이썬 1. Geobooks, Sep. 1, 2021, p. 72, isbn: 9791191346091.
S. Kim, H. Kim, S. Kwak, Y. Hwang, and J. Kim, 파이썬 코딩수학 워크북. Geo-Academy, Sep. 1, 2021, p. 132, isbn: 9791191346077.