Publications

Dissertation

Solving various partial differential equations on non-flat surfaces (2018) [pdf]

SCIE

1. Numerical analysis of energy-minimizing wavelengths of equilibrium states for diblock copolymers (SCI, IF 1.971), Darae Jeong, Jaemin Shin, Yibao Li, Yongho Choi, Jae-Hun Jung, Seunggyu Lee, and Junseok Kim, Current Applied Physics, Vol. 14, pp. 1263–1272, 2014. [pdf]
   
   
2. An unconditionally stable numerical method for the viscous Cahn–Hilliard equation (SCI, IF 0.994), Jaemin Shin, Yongho Choi, and Junseok Kim, Discrete and Continuous Dynamical Systems-Series B, Vol. 19, pp. 1737–1747, 2014. [pdf]
   
   
3. A conservative Allen–Cahn equation with a space-time dependent Lagrange multiplier (SCI, IF 4.261, 4.7%), Junseok Kim, Seunggyu Lee, and Yongho Choi, International Journal of Engineering Science, Vol. 84, pp. 11–17, 2014. [pdf]
   
   
4. Accuracy, robustness, and efficiency of the linear boundary condition for the Black–Scholes equations (SCIE, IF 0.711), Darae Jeong, Seungsuk Seo, Hyeongseok Hwang, Dongsun Lee, Yongho Choi, and Junseok Kim, Discrete Dynamics in Nature and Society, Vol. 2015, pp. 359028, 10 pages, 2015. [pdf]
   
   
5. A hybrid numerical method for the phase-field model of fluid vesicles in three-dimensional space (SCI, IF 1.652), Jaemin Shin, Darae Jeong, Yibao Li, Yongho Choi, and Junseok Kim, International Journal for Numerical Methods in Fluids, Vol. 78, pp. 63–75, 2015. [pdf]
   
   
6. Energy-minimizing wavelengths of equilibrium states for diblock copolymers in the hex-cylinder phase (SCI, IF 1.971), Darae Jeong, Seunggyu Lee, Yongho Choi, and Junseok Kim, Current Applied Physics, Vol. 15, pp. 799–804, 2015. [pdf]
   
   
7. Three-dimensional volume reconstruction from slice data using phase-field models (SCI, IF 2.498), Yibao Li, Jaemin Shin, Yongho Choi, and Junseok Kim, Computer Vision and Image Understanding, Vol. 137, pp. 115–124, 2015. [pdf]
   
   
8. Motion by mean curvature of curves on surfaces using the Allen–Cahn equation (SCI, IF 4.261, 4.7%), Yongho Choi, Darae Jeong, Seunggy Lee, Minhyun Yoo, and Junseok Kim, International Journal of Engineering Science, Vol. 97, pp. 126–132, 2015. [pdf]
   
   
9. The daily computed weighted averaging basic reproduction number Rn 0,k,w for MERS-CoV in South Korea (SCI, IF 2.243), Darae Jeong, Chang Hyeong Lee, Yongho Choi, and Junseok Kim, Physica A: Statistical Mechanics and its Applications, Vol. 451, pp. 190–197, 2016. [pdf]
   
   
10. A practical finite difference method for the three-dimensional Black–Scholes equation (SCIE, IF 3.297), Junseok Kim, Taekkeun Kim, Jaehyun Jo, Yongho Choi, Seunggyu Lee, Hyeongseok Hwang, Minhyun Yoo, and Darae Jeong, European Journal of Operational Research, Vol. 252, pp. 183–190, 2016. [pdf]
    
    
11. Numerical investigation of local defectivity control of diblock copolymer patterns (SCIE, IF 0.882), Darae Jeong, Yongho Choi, and Junseok Kim, Condensed Matter Physics, Vol. 19, pp. 33001, 10page, 2016. [pdf]
    
    
12. A multigrid solution for the Cahn–Hilliard equation on nonuniform grids (SCIE, IF 1.738), Yongho Choi, Darae Jeong, and Junseok Kim, Applied Mathematics and Computation, Vol. 293, pp. 320–333, 2017. [pdf]
    
    
13. Basic principles and practical applications of the Cahn–Hilliard equation (SCIE, IF 0.802), Junseok Kim, Seunggyu Lee, Yongho Choi, Seok-Min Lee, and Darae Jeong, Mathematical Problems in Engineering, Vol. 2016, pp. 9532608, 11 page, 2016. [pdf]
    
    
14. A simple and efficient outflow boundary condition for the incompressible Navier–Stokes equations(SCIE, IF 1.167), Yibao Li, Jung-II Choi, Yongho Choi, and Junseok Kim, Engineering Applications of Computational Fluid Mechanics, Vol. 11, pp. 69–85, 2017. [pdf]
    
    
15. A finite difference method for a conservative Allen–Cahn equation on non-flat surfaces (SCI, IF 2.746, 5.4%), Junseok Kim, Darae Jeong, Seong-Deog Yang, and Yongho Choi, Journal of Computational Physics, Vol. 334, pp. 170–181, 2017. [pdf]
    
    
16. Numerical simulation of the zebra pattern formation on a three-dimensional model (SCI, IF 2.243), Darae Jeong, Yibao Li, Yongho Choi, Minhyun Yoo, Dooyoung Kang, Junyoung Park, Jaewon Choi, and Junseok Kim, Physica A: Statistical Mechanics and its Applications, Vol. 475, pp. 106–116, 2017. [pdf]
    
    
17. Computationally efficient adaptive time step method for the Cahn–Hilliard equation (SCI, IF 1.531), Yibao Li, Yongho Choi, and Junseok Kim, Computers & Mathematics with Applications, Vol. 73, pp. 1855–1864, 2017. [pdf]
    
    
18. Curve and surface smoothing using a modified Cahn–Hilliard equation (SCIE, IF 0.802), Yongho Choi, Darea Jeong, and Junseok Kim, Mathematical Problems in Engineering, Vol. 2017, pp. 5971295, 9 page, 2017. [pdf]
    
    
19. Efficient 3D volume reconstruction from a point cloud using a phase-field method (SCIE, IF 0.802), Darae Jeong, Yibao Li, Heonju Lee, Sangmin Lee, Junxiang Yang, Seungwoo Park, Hyundong Kim, Yongho Choi, and Junseok Kim, Mathematical Problems in Engineering, Vol. 2017, pp. 7090186, 9 page, 2017. [pdf]
    
    
20. A benchmark problem for the two- and three-dimensional Cahn–Hilliard equations (SCIE, IF 2.784), Darae Jeong, Yongho Choi, and Junseok Kim, Communications in Nonlinear Science and Numerical Simulation, Vol. 61, pp. 149–159, 2018. [pdf]
    
    
21. Modelling and simulation of the hexagonal pattern formation of honeycombs by the immersed boundary method (SCIE, IF 2.784), Darae Jeong, Yongho Choi, and Junseok Kim, Communications in Nonlinear Science and Numerical Simulation, Vol. 62, pp. 61–77, 2018. [pdf]
    
    
22. Verification of convergence rates of numerical solutions for parabolic equations (SCIE), Darae Jeong, Yibao Li, Chaeyoung Lee, Junxiang Yang, Yongho Choi, and Junseok Kim, Mathematical Problems in Engineering, Vol. 2019, pp. 8152136–8152146, 2019. [pdf]
    
    
23. The Cahn–Hilliard Equation with Generalized Mobilities in Complex Geometries (SCIE), Jaemin Shin, Yongho Choi, and Junseok Kim, Mathematical Problems in Engineering, Vol. 2019, pp. 1710270-1–1710270-10, 2019. [pdf]
    
    
24. Mathematical modeling and computer simulation of the three-dimensional pattern formation of honeycombs (SCIE), Darae Jeong, Yibao Li, Sangkwon Kim, Yongho Choi, Chaeyoung Lee, and Junseok Kim, Scientific Reports, Vol. 9, pp. 20364-1–20364-6, 2019. [pdf]
    
    
25. Fast and accurate volume smoothing method using a modified Allen-Cahn equation (SCIE), Jian Wang, Yibao Li, Yongho Choi, Chaeyoung Lee, and Junseok Kim, Computer-Aided Design, Vol. 120, pp. 102804-1–102804-12, 2020. [pdf]
    
    
26. Periodic travelling wave solutions for a reaction-diffusion system on landscape fitted domains (SCIE), Sangkwon Kim, Jintae Park, Chaeyoung Lee, Darae Jeong, Yongho Choi, Soobin Kwak, and Junseok Kim, Chaos, Solitons & Fractals, Vol. 139, pp. 110300-1–110300-9, 2020. [pdf]
    
    
27. A practical adaptive grid method for the Allen-Cahn equation (SCIE), Darae Jeong, Yibao Li, Yongho Choi, Chaeyoung Lee, Junxiang Yang and Junseok Kim, submitted, Physica A: Statistical Mechanics and its Applications, Vol. 573, pp. 125975-1–125975-12, 2021. [pdf]
    
    
28. A simple visualization method for three-dimensional (3D) network, Sangkwon Kim, Chaeyoung Lee, Jintae Park, Sungha Yoon, Yongho Choi, Junseok Kim, Discrete Dynamics in Nature and Society, Vol. 2021, pp. 1426212-1–1426212-10, 2021. [pdf]
    
    
29. Calibration of the temporally varying volatility and interest rate functions, Eunchae Park, Jisang Lyu, Sangkwon Kim, Chaeyoung Lee, Wonjin Lee, Yongho Choi, Soobin Kwak, Changwoo Yoo, Hyeongseok Hwang, Junseok Kim, International Journal of Computer Mathematics, 2021. [pdf]
    
    
30. Explicit hybrid numerical method for the reaction-diffusion type equations on curved surfaces (SCIE), Yongho Choi, Yibao Li, Chaeyoung Lee, Hyundong Kim, Junseok Kim, Numerical Mathematics: Theory, Methods and Applications, Vol. 14, pp. 797-810, 2021. (NRF) [pdf]
    
    

KCI

1. An adaptive multigrid technique for option pricing under the Black–Scholes model (KCI), Darae Jeong, Yibao Li, Yongho Choi, Kyoung-sook Moon, and Junseok Kim, Jornal of Korean Society for Industrial and Applied Mathematics, Vol. 17, pp. 295–306, 2013. [pdf]
   
   
2. Accurate and efficient computations for the Greeks of European multi-asset options (KCI), Seunggyu Lee, Yibao Li, Yongho Choi, Hyangseok Hwang, and Junseok Kim, Jornal of Korean Society for Industrial and Applied Mathematics, Vol. 18, pp. 61–74, 2014. [pdf]
   
   
3. Comparison of numerical methods (Bi-CGSTAB, OS, MG) for the 2D Black–Scholes equation (KCI), Darae Jeong, Sungki Kim, Yongho Choi, Hyangseok Hwang, and Junseok Kim, J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math., Vol. 21, pp. 129–139, 2014. [pdf]
   
   
4. Robust and accurate method for the Black–Scholes equations with payoff consistent extrapolation (KCI), Yongho Choi, Darae Jeong, Junseok Kim, Young Rock Kim, Seunggyu Lee, Seungsuk Seo, and Minhyun Yoo, Communications of the Korean Mathematical Society, Vol. 30, pp. 297–311, 2015. [pdf]
   
   
5. A modified Cahn–Hilliard equation for 3D volume reconstruction from two planar cross sections (KCI), Seunggyu Lee, Yongho Choi, Doyoon Lee, Hong-Kwon Jo, Seunghyun Lee, Sunghyun Myung, and Junseok Kim, Jornal of Korean Society for Industrial and Applied Mathematics, Vol. 19, pp. 47–56, 2015. [pdf]
   
   
6. Numerical implementation of the two-dimensional incompressible Navier–Stokes equation (KCI), Yongho Choi, Darae Jeong, Seunggy Lee, and Junseok Kim, Jornal of Korean Society for Industrial and Applied Mathematics, Vol. 19, pp. 103–121, 2015. [pdf]
   
   
7. A fast and robust numerical method for option prices and Greeks in a jump diffusion model (KCI), Darae Jeong, Youngrock Kim, Seunggyu Lee, Yongho Choi, Woongki Lee, Jaeman Shin, Hyorim An, Hyeong Seok Hwang, and Junseok Kim, J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math., Vol. 22, pp. 159–168, 2015. [pdf]
   
   
8. Comparison of numerical methods for ternary fluid flows: immersed boundary, level-set, and phase-field methods (KCI), Seunggyu Lee, Darae Jeong, Yongho Choi, and Junseok Kim, Jornal of Korean Society for Industrial and Applied Mathematics, Vol. 20, pp. 83–106, 2016. [pdf]
   
   
9. Path Averaged Option Value Criteria for Selecting Better Options (KCI), Junsok Kim, Minhyun Yoo, Hyeju Son, Seunggyu Lee, Myeong-Hyeon Kim, Yongho Choi, Darae Jeong, and Youngrock Kim, Jornal of Korean Society for Industrial and Applied Mathematics, Vol. 20, pp. 163–174, 2016. [pdf]
   
   
10. Finite difference method for the two-dimensional Black-Scholes equation with a hybrid boundary condition (KCI), Youngjin Heo, Hyunsoo Han, Hanbyeol Jang, Yongho Choi, and Junseok Kim, Journal of the Korea Society for Industrial and Applied Mathematics, Vol. 23, pp. 19–30, 2019. [pdf]
    
    
11. Three dimensional volume reconstruction based on modified fractional Cahn-Hilliard equation (KCI), Yongho Choi and Seunggyu Lee, Journal of the Korea Society for Industrial and Applied Mathematics, Vol. 23, pp. 203–210, 2019. [pdf]
    
    
12. Android application for pricing two-and three-asset equity-linked securities (KCI), Hanbyeol Jang, Hyunsoo Han, Hayeon Park, Wonjin Lee, Jisang Lyu, Jintae Park, Hyundong Kim, Chaeyoung Lee, Sangkwon Kim, Yongho Choi, and Junseok Kim, Journal of the Korea Society for Industrial and Applied Mathematics, Vol. 23, pp. 237–251, 2019. [pdf]
    
    
13. Fast pricing of four asset equity-linked securities using Brownian bridge, Changwoo Yoo, Yongho Choi, Sangkwon Kim, Soobin Kwak, Youngjin Hwang, Junseok Kim, Journal of Korean Society for Industrial and Applied Mathematics, Accepted (2021.08.14)
    
    
14. Efficient and Accurate Finite Difference Method for the Four Unverlying Asset ELS, Hyeongseok Hwang, Yongho Choi, Soobin Kwak, Youngjin Hwang, Junseok Kim, J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math. , Accepted (2021.08.23)
    
    

Revision Submitted

1. Fast Numerical Simulation of Allen–Cahn Equation, Yongho Kim, Gilnam Ryu, Yongho Choi, Mathematical Problems in Engineering (DaeguUniv2019) (2021.09.03)
   
   

In Revision

1. A conservative and stable explicit finite difference scheme for the diffusion equation, Junxiang Yang, Chaeyoung Lee, Soobin Kwak, Yongho Choi, Junseok Kim, Journal of Computational Science (2021.04.28)
   
   
2. Robust optimal parameter estimation for the Susceptible-Unidentified infected-Confirmed model, Chaeyoung Lee, Soobin Kwak, Sangkwon Kim, Youngjin Hwang, Yongho Choi, Junseok Kim, Chaos, Solitons and Fractals (2021.06.23)
   
   

Submitted Papers

1. An unconditionally stable splitting method for the Allen-Cahn equation with logarithmic free energy, Jintae Park, Chaeyoung Lee, Yongho Choi, Hyungeun Lee, Soobin Kwak, Youngjin Hwang, Junseok Kim, Journal of Engineering Mathematics (2021.06.11)
   
   
2. Three-dimensional volume reconstruction from slice data using a shape transformation, Hyundong Kim, Chaeyoung Lee, Soobin Kwak, Sangkwon Kim, Yongho Choi, Junseok Kim, Computers and Mathematics with Applications (2021.06.18)
   
   
3. An explicit stable finite difference method for the Allen-Cahn equation, Chaeyoung Lee, Yongho Choi, Junseok Kim, Applied Numerical Mathematics (2021.07.02)
   
   
4. Reconstructing the local volatility surface from market option prices, Soobin Kwak; Youngjin Hwang; Yongho Choi; Jian Wang, Junseok Kim, Mathematics and Computers in Simulation (2021.07.19)
   
   
5. Optimal orientation of solar panels for multi-apartment buildings , Sungha Yoon, Jintae Park, Chaeyoung Lee, Sangkwon Kim, Yongho Choi, Soobin Kwak, Junseok Kim, Sustainable Energy Technologies and Assessments (2021.08.04)
   
   
6. An adaptive time stepping algorithm for the Allen-Cahn equation, Chaeyoung Lee, Jintae Park, Soobin Kwak, Sangkwon Kim, Yongho Choi, Seokjun Ham, Junseok Kim, Advances in Computational Mathematics (2021.08.04)
   
   
7. A fast shape transformation using a phase-field model, Hyundong Kim, Chaeyonug Lee, Sungha Yoon, Yongho Choi, Junseok Kim, Extreme Mechanics Letters (2021.09.07)
   
   

Working/Interesting Papers

1. Curvature effect on surface (NRF)
   
   
2. COVID19 study with pre-processing data
   
   
3. No-flux narrow band method for solving parabolic PDEs on surface (NRF)
   
   
4. Non-uniform scaffold shape (NRF)
   
   
5. Allen-Cahn equation on surface with DistMesh (NRF)
   
   
6. Modified compact scheme on surface (NRF)
   
   
7. Comparison CAC and CH on surface (DaeguUniv.)
   
   
8. Comparison CPM, LB with AC equation (DaeguUniv.)
   
   
9. Benchmark problems for numerical schemes for the phase-field equations
   
   

Books

1. 수치해석 4판 / 최용호, 권성규, 김규철, 김영록, 김준석, 김현민, 신동우, 안두성, 이주성 / 교우사 / p.486 / 2016.04.25 / ISBN: 9791125101574
   
   
2. 코딩수학 1 / 최용호, 김성기, 김지원, 김준석 / 이모션북스 / p.86 / 2017.08.20 / ISBN: 9791188145133
   
   
3. 25시간만에 배우는 머신러닝 (예제 MATLAB 활용) / 최용호, 김준석, 김상권, 정다래, 김성기, 김영록 / 이모션미디어 / p.97 / 2017.08.28 / ISBN: 9791188145164
   
   
4. 산업응용수학의 기본 / 최용호, 김영록, 김준석, 유창우, 이승규, 정다래, 허영진 / 경문사 / p.150 / 2017.09.01 / ISBN: 9791160730289
   
   
5. 코딩수학 5 / 최용호, 김준석, 김상권, 정다래 / 이모션북스 / p.86 / 2018.01.01 / ISBN: 9791188145287
   
   
6. 코딩교육을 위한 코딩수학지도서 1 / 최용호, 김준석, 김상권, 이채영, 김현동 / 이모션미디어 / p.316 / 2018.07.31 / ISBN: 9791188145850
   
   
7. 파이썬 활용 산업응용수학의 기본 / 김준석, 김상권, 이채영, 정다래, 최용호, 곽수빈 / 지오북스 / p.130 / 2020.09.10 / ISBN: 9791187541882
   
   
8. 수학적 모델링 콘텐츠 파이썬1 / 김준석, 김상권, 이채영, 최용호, 곽수빈, 황영진 / 지오북스 / p.72 / 2021.09.01 / ISBN: 9791191346091