김현동 사진
김현동
직위(직급)
교수(Assistant Professor)
이메일
hdkim@gwnu.ac.kr
연구분야
응용수학, 과학계산, 수치해석, 곡면위의 편미분방정식, 상태장모델, 계산금융
소속(연구실)
자연과학대학 수학물리학부 수학전공 (자연과학2호관 307호)

세부내용

학력(Education History)


경력(Career)


연구논문(Publications)


[46] A conservative alternating direction explicit scheme for the Cahn-Hilliard equation on nonuniform grids,

In preparation (2024)


[45] An unconditionally stable adaptive finite difference scheme for the Allen-Cahn equation,

In preparation (2024) ISI


[44] A review of the numerical methods for solving the binary Allen-Cahn equation

In preparation (2024)  ISI


[43] Accurate computation of Greeks for equity-linked security (ELS) near early redemption dates

In preparation (2024) 


[42] Reconstruction of the time-dependent volatility function using a time-fractional Black-Scholes equation

In preparation (2024) 


[41] Reconstruction of convexity preserving local volatility functions

Submitted (2024) 


[40] Designing team projects for envy-free group collaboration to overcome free-rider problem

Submitted (2024) 


[39] Optimal calibration of the temporally varying volatility function

Submitted (2024) 


[38] Curvature-dependent area preserving immersed boundary method for binary immiscible fluids

Submitted (2024) ISI


[37] Numerical algorithms for the phase-field equations using discrete cosine transform,

Submitted (2024) ISI


[36] Fast pricing in Android platform calculator for four-asset step-down structure ELS using Brownian bridge,

Submitted (2024)


[35] A tutorial on MATLAB implementation of the multigrid method for the two-dimensional diffusion equation

Submitted (2024) ISI


[34] A practically stable explicit numerical method for the ternary Cahn-Hilliard system,

Submitted (2024) ISI


[33] Impact of prey-taxis on a harvested intraguild predation predator-prey model,

Submitted (2024)


[32] A novel phase-field model for three-dimensional shape transformation,

Submitted (2024) add affil. ISI


[31] In silico investigation of the formation of multiple intense zebra stripes using extending domain,

Revised Submitted, Mathematics and Computers in Simultion (2024)


[30] Calibration of local volatility surfaces from observed market call and put option prices,

Computational Economics, (2024)


[29] Shape transformation on curved surfaces using a phase-field model,

Communications in Nonlinear Science and Numerical Simulation, (2024)


[28] Hybrid numerical method for the Allen-Cahn equation on nonuniform grids,

Computers & Mathematics with Applications, (2024)


[27] Pattern dynamics of a harvested predator-prey model,

Chaos, Solitons and Fractals,  (2023)


[26] Optimal orientation of solar panels for multi-apartment buildings,

Mathematics, (2023)


[25] Mobile APP for computing option price of the four-underlying asset step-down ELS,

Journal of the Korean Society for Industrial and Applied Mathematics, (2022)


[24] Phase-field computations of anisotropic ice crystal growth on a spherical surface,

Computers & Mathematics with Applications, (2022)


[23] Linear stability analysis of the Cahn-Hilliard equation in spinodal region,

Journal of Function Spaces, (2022)


[22] Effective time step analysis for the Allen-Cahn equation with a high-order polynomial free energy, 

International Journal for Numerical Methods in Engineering, (2022)


[21] Motion by mean curvature with constraints using a modified Allen-Cahn equation, 

Journal of Scientific Computing, (2022)


[20] Three-dimensional volume reconstruction from multi-slice data using a shape transformation, 

Computers & Mathematics with Applications, (2022)


[19] A fast shape transformation using a phase-field model, 

Extreme Mechanics Letters, (2022)


[18] Numerical simulation of the coffee-ring effect inside containers with time-dependent evaporation rate, 

Theoretical and Computational Fluid Dynamics, (2022)


[17] Benchmark Problems for the numerical discretization of the Cahn-Hilliard equation with a source term, 

Discrete Dynamics in Nature and Society, (2021)


[16] Fast and efficient numerical finite difference method for multiphase image segmentation, 

Mathematical Problems in Engineering, (2021)


[15] An unconditionally stable positivity-preserving scheme for the one-dimensional Fisher-Kolmogorov-Petrovsky-Piskunov equation, 

Discrete Dynamics in Nature and Society, (2021)


[14] Explicit hybrid numerical method for the Allen-Cahn type equations on curved surfaces, 

Numerical Mathematics-Theory Methods and Applications, (2021)


[13] Numerical investigation to the effect of initial guess for phase-field models, 

East Asian Journal on Applied Mathematics, (2021)


[12] An unconditionally stable scheme for the Allen-Cahn equation with high-order polynomial free energy, 

Communications in Nonlinear Science and Numerical Simulation, (2021)


[11] On the evolutionary dynamics of the Cahn-Hilliard equation with cut-off mass source, 

Numerical Mathematics-Theory Methods and Applications, (2021)


[10] Fourier-Spectral method for the phase-field equations,

Mathematics, (2020)


[9] Phase-field modeling and computer simulation of the coffee-ring effect, 

Theoretical and Computational Fluid Dynamics, (2020)


[8] Pattern formation in reaction-diffusion systems on evolving surfaces, 

Computers & Mathematics with Applications, (2020)


[7] Shape transformation using the modified Allen-Cahn equation, 

Applied Mathematics Letters, (2020)


[6] Domain of influence of local volatility function on the solutions of the general Black-Scholes equation, 

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (2020)


[5] Fast Android implementation of Monte Carlo simulation for pricing Equity-Linked Securities, 

Journal of the Korean Society for Industrial and Applied Mathematics, (2020)


[4] Android application for pricing two- and three-asset Equity-Linked Securities,

Journal of the Korean Society for Industrial and Applied Mathematics, (2019)


[3] An explicit numerical algorithm for surface reconstruction from unorganized points using Gaussian filter, 

Journal of the Korean Society for Industrial and Applied Mathematics, (2019)


[2] Comparison study on the different dynamics between the Allen-Cahn and the Cahn-Hilliard equations, 

Computers & Mathematics with Applications, (2019)


[1] Efficient 3D volume reconstruction from a point cloud using a phase-field method, 

Mathematical Problems in Engineering, (2018)


저서(Books)


지식재산(Patent)


수상사항(Awards)


개설교과목(Lecture)






Academic activities



Acknowledgments

This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (2021R1A6A1A03044326);

Institute for Smart Infrastructure, Gangneung-Wonju National University, Jukheon-gil 7, Gangneung 25457, Republic of Korea

스마트 인프라 연구소


This study was supported by 2023 Academic Research Support Program in Gangneung-Wonju National University;

신임교수 학술연구조성비


This study was supported by 2022 New Professor Support Program of Natural Science Research Institute in Gangneung-Wonju National University;

자연과학연구소 신임교수 연구지원


This paper was supported by research funds for newly appointed professors of Gangneung-Wonju National University in 2022;

신임교원 연구지원


Hyundong Kim was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2020R1A6A3A13077105).

한국연구재단


Conflicts of Interest

None declared.

The authors declare there is no conflicts of interest.


Data availability

Data will be made available on request.

All data used in this article can be shared upon appropriate request.

The data used to support the findings of this study are available from the corresponding author upon request.


Use of AI tools declaration

This article was not created using Artificial Intelligence (AI) tools.

The authors have not used Artificial Intelligence (AI) tools in the crations of this article.