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

세부내용

학력(Education History)


경력(Career)


논문(Publications)

[P2] A multigrid solver for the Allen-Cahn equation on a cubic surface,

In preparation (2025) ISI


[P1] Reconstruction of the time-dependent volatility function using a time-fractional Black-Scholes equation

In preparation (2025)




[S12] An unconditionally stable adaptive finite difference scheme for the Allen-Cahn equation,

Submitted (2025) ISI


[S11] An efficient and accurate adaptive time-stepping method for the Allen-Cahn equation,

Submitted (2024) ISI


[S10] Pricing five-asset Equity-Linked Securities (ELS) with step-down and knock-in barrier conditions on Android platform

Submitted (2024)


[S9] Numerical simulation of a normalized time-fractional SUC epidemic model

Submitted (2024)


[S8] Reconstructing the quadratic local volatility surface for European options

Submitted (2024)


[S7] Fully explicit numerical method for the incompressible Navier-Stokes equation

Submitted (2024) ISI


[S6] Stability analysis for maximum principle preserving fully explicit approach of the surface Allen-Cahn equation on curved surfaces

Submitted (2024) ISI


[S5] Numerical investigation of reverse Equity-Linked Securities

Submitted (2024)


[S4] Reconstruction of convexity preserving local volatility functions

Submitted (2024)


[S3] Optimal calibration of the temporally varying volatility function

Submitted (2024)


[S2] Curvature-dependent area preserving immersed boundary method for binary immiscible fluids

Submitted (2024) ISI


[S1] Fast pricing in Android platform calculator for four-asset step-down structure ELS using Brownian bridge

Submitted (2024)



[R2] A review of the numerical methods for solving the binary Allen-Cahn equation

Revision Submitted (2025) ISI


[R1] Accurate computation of Greeks for equity-linked security (ELS) near early redemption dates

Submitted (2025)



[42] Reconstructing piecewise constant volatility surfaces

Accepted, Journal of the Korean Society for Industrial and Applied Mathematics, (2025)


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

Accepted, Mathematical Modelling and Control, (2025) ISI


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

Accepted, European Journal of Applied Mathematics, (2025)


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

Accepted, Discrete Dynamics in Nature and Society, (2025)


[38] Effective perpendicular boundary conditions in phase-field models using Dirichlet boundary conditions

Accepted, Engineering with Computers, (2025) ISI


[37] A cell structure implementation of the multigrid method for the two-dimensional diffusion equation

Accepted, AIP Advances, (2025) ISI


[36] An efficient and accurate adaptive time-stepping method for the Landau-Lifshitz equation

Algorithms, (2024) ISI


[35] An explicit finite difference scheme for the conservative Allen-Cahn equation on a cubic surface

American Institute of Mathematical Sciences (AIMS) Mathematics, Special Issue: Mathematical model and numerical simulation, (2024) ISI


[34] An efficient and accurate adaptive time-stepping method for the Black-Scholes equations

Journal of the Korean Society for Industrial and Applied Mathematics, (2024)


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

Computers & Mathematics with Applications, (2024) ISI


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

Mechanics Research Communications, (2024) ISI


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

Mathematics and Computers in Simulation, (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)


Honors and Awards


개설교과목(Lectures)








교육관련 참여사업


Mathematics Genealogy Project

Hyundong Kim → Junseok Kim → John Samuel Lowengrub → Russel Edward Caflisch → George C. Papanicolaou → Joseph Bishop Keller → Richard Courant → David Hilbert 


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.

Prof. Hyundong Kim is the Guest Editor of Special Issue “Mathematical model and numerical simulation” for AIMS Mathematics. 

Prof. Hyundong Kim was not involved in the editorial review and the decision to publish this article.


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 creations of this article.


ORCID

https://orcid.org/0009-0007-3986-3777

https://orcid.org/0000-0002-5415-6719


Address

-Academic Family


Junseok Kim

cfdkim@korea.ac.kr

Department of Mathematics, Korea University, Seoul 02841, Republic of Korea

https://math.korea.ac.kr

https://mathematicians.korea.ac.kr/cfdkim



Hyun Geun Lee

leeh1@dongguk.edu

Department of Mathematics, Dongguk University, Seoul 04620, Republic of Korea

https://math.dongguk.edu



Darae Jeong

tinayoyo@kangwon.ac.kr

Department of Mathematics, Kangwon National University, Gangwon-do 24341, Republic of Korea

https://math.kangwon.ac.kr



Ana Yun

School of Liberal Arts & Science , Korea Aerospace University, Republic of Korea

anayun@kau.ac.kr

http://college.kau.ac.kr/web/pages/gc29132h.do



Chaeyoung Lee

cylee@kyonggi.ac.kr

Department of Mathematics, Kyonggi University, Suwon 16227, Republic of Korea

https://www.kyonggi.ac.kr/u_math/index.do



Jaemin Shin

jmshin20@chungbuk.ac.kr

Department of Mathematics, Chungbuk National University, Cheongju 28644, Republic of Korea

https://math.chungbuk.ac.kr

https://sites.google.com/view/najmshin/



Donsen Lee

esen@inu.ac.kr

Department of Mathematics Education, Incheon National University

https://inu.ac.kr/sites/edumath

https://sites.google.com/view/donsenlee



Seunggyu Lee

sky509@korea.ca.kr

Department of Applied Mathematics, Korea University, Sejong 30019, Republic of Korea

https://imath.korea.ac.kr

https://sites.google.com/view/sglee



Yongho Choi

yongho_choi@daegu.ac.kr

Department of Computer & Information Engineering, Daegu University, Gyeongsan-si 38453, Republic of Korea

https://infosec.daegu.ac.kr/hakgwa_home/infosec



Sangkwon Kim

ksk8863@korea.ac.kr

Institute of Basic Science, Korea University, Seoul 02841, Republic of Korea

https://ksk8863.github.io/ksk8863



Sungha Yoon

sunghay@uci.edu

Department of Mathematics, University of California Irvine, U.S.A.

https://www.math.uci.edu

https://1170011989.github.io/



Soobin Kwak

soobin23@korea.ac.kr

Department of Mathematics, Korea University, Seoul 02841, Republic of Korea



Youngjin Hwang

youngjin_hwang@korea.ac.kr

Department of Mathematics, Korea University, Seoul 02841, Republic of Korea



Seokjun Ham

seokjun@korea.ac.kr

Department of Mathematics, Korea University, Seoul 02841, Republic of Korea



Seungyoon Kang

hero2401@korea.ac.kr

Department of Mathematics, Korea University, Seoul 02841, Republic of Korea



Gyeonggyu Lee

ssoss787@korea.ac.kr

Department of Mathematics, Korea University, Seoul 02841, Republic of Korea



Juho Ma

mjh3406@gmail.com

Department of Mathematics and Physics, Gangneung-Wonju National University, Gangneung 25457, Republic of Korea




-Chinese Academic Family


Yibao Li

yibaoli@xjtu.edu.cn

School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China

https://gr.xjtu.edu.cn/web/yibaoli



Jian Wang

003328@nuist.edu.cn

super_wj150@163.com

School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

https://faculty.nuist.edu.cn/JianWang



Junxiang Yang

jxyang@must.edu.mo
nexusxiang@outlook.com

School of Computer Science and Technology, Faculty of Innovation Engineering, Macau University of Science and Technology, Macao Special Administrative Region of China

https://cfdyang521.github.io/



Haobo Hua

huabo@qq.com

Department of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450046, China




-Financial Research Team


Changwoo Yoo

coreapoa@korea.ac.kr

coreapoa@gmail.com

Department of Financial Engineering, Korea University, Seoul 02841, Republic of Korea

Program in Actuarial Science and Financial Engineering, Korea University, Seoul 02841, Republic of Korea

신한은행



Hyeongseok Hwang

hhs288@korea.ac.kr

Department of Financial Engineering, Korea University, Seoul 02841, Republic of Korea

Program in Actuarial Science and Financial Engineering, Korea University, Seoul 02841, Republic of Korea

산업은행



Hanbyeol Jang

styliststar@korea.ac.kr

Department of Financial Engineering, Korea University, Seoul 02841, Republic of Korea

국민연금 기금운영본부




-Alumni


Daeun Jeong (Graduated, 2025.02)

B. S. (2023. 02)

Computational Finance

Department of Mathematics, Korea University, Seoul 02841, Republic of Korea



Dongkwon Choi (Graduate Student of Master Course)

B. S. (2023. 02)

Computational Finance

Program in Actuarial Science and Financial Engineering, Korea University, Seoul 02841, Republic of Korea



Sanghyun Lee (Graduate Student of Master Course)

B. S. (2024. 02)

Computational Finance

Department of Mathematics, Sungkyunkwan University, Suwon, 16419, Republic of Korea



Juho Ma (Graduate Student of Integrated Master & Doctoral Course)

B. S. (2025. 02)

Computational Physics, Computational Finance

Department of Mathematics, Korea University, Seoul 02841, Republic of Korea



Hyunho Shin (Graduate Student of Master Course)

B. S. (2025. 02)

Computational Finance

Department of Mathematics, Korea University, Seoul 02841, Republic of Korea