{"id":8950,"date":"2026-10-24T21:28:08","date_gmt":"2026-10-24T12:28:08","guid":{"rendered":"https:\/\/mathematicians.korea.ac.kr\/cfdkim\/?page_id=8950"},"modified":"2026-11-06T21:10:08","modified_gmt":"2026-11-06T12:10:08","slug":"publication-501","status":"publish","type":"page","link":"https:\/\/mathematicians.korea.ac.kr\/cfdkim\/publication-501\/","title":{"rendered":"Publication 501~"},"content":{"rendered":"

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ORCID<\/a>:  0000-0002-0484-9189    <\/strong><\/p>\n

https:\/\/sciprofiles.com\/profile\/817797<\/a><\/p>\n

(h-index 49)<\/strong><\/p>\n

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  1. Computational methods for the three-dimensional phase-field equations using discrete cosine transform …<\/a> Hyun Geun Lee, Xinpei Wu, Seungjae Lee, Hyeonseo Kim, Zhengang Li, Yuzhao Ye, Meiyun Nan, Sungwon Jung, and Junseok Kim, accepted, \u200bPhysica A<\/em><\/b><\/i><\/strong>, 2026.<\/li>\n
  2. Ternary incompressible flow simulations on a virtual cube using the conservative Allen\u2013Cahn\u2013Navier\u2013Stokes system (…<\/a> \uc9c0\uc6d0 \uc644\ub8cc)<\/a> Xinpei Wu, Junseok Kim, accepted, \u200bMathematics\u200b \u200band\u200b \u200bComputers\u200b \u200bin\u200b \u200bSimulation<\/em><\/b><\/i><\/strong>, 2026.<\/span><\/span><\/li>\n
  3. Maximum\u200b \u200bprinciple-preserving\u200b \u200bexplicit\u200b \u200bmethod\u200b \u200bfor\u200b \u200bthe\u200b \u200bconservative\u200b \u200bAllen–Cahn\u200b equation …<\/a> Youngjin Hwang, Junseok Kim, accepted, Computer Physics Communications<\/em><\/i><\/strong>, 2026.<\/li>\n
  4. A Positivity-Preserving Adaptive Finite Volume Method for the Ternary Allen\u2013Cahn Equation …<\/a> Jilong He, Junseok Kim, accepted, Applied\u200b \u200bNumerical\u200b \u200bMathematics<\/em><\/b><\/strong>, 2026.<\/li>\n
  5. A three-dimensional conservative Allen\u2013Cahn model with a curvature-dependent Lagrange multiplier …<\/a> Soobin Kwak, Xinpei Wu, Junseok Kim, accepted, \u200bInternational Journal of Engineering Science<\/em><\/b><\/i><\/strong>, 2026.<\/li>\n
  6. Normalized\u200b \u200bCaputo\u2013Fabrizio\u200b \u200bfractional\u200b \u200b2D\u200b \u200band\u200b \u200b3D\u200b \u200bdiffusion\u200b \u200bequations …<\/a> Chaeyoung Lee, Seungjae Lee, Ke Zhang, Meiyun Nan, Xinpei Wu, Junseok Kim, accepted, \u200bInternational Journal of Numerical Modelling: Electronic Networks, Devices and Fields<\/em><\/b><\/i><\/strong>, 2026.<\/li>\n<\/ol>\n

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    J KSIAM References for 2025 and 2026<\/strong><\/span><\/p>\n

    [1] Daeun Jeong, Yunjae Nam, Minjoon Bang, Hyundong Kim, and Junseok Kim, Reconstructing piecewise constant local volatility surfaces, J. Korean Soc. Ind. Appl. Math.<\/em> 29(1) (2025), 26\u201336. https:\/\/doi.org\/10.12941\/jksiam.2025.29.026<\/a><\/p>\n

    [2] Donggwon Choi, Hyeongseok Hwang, Yunjae Nam, and Youngjin Hwang, Fast and efficient numerical method for the penalty Tsiveriotis\u2013Fernandes model, J. Korean Soc. Ind. Appl. Math.<\/em> 29(2) (2025), 37\u201364. https:\/\/doi.org\/10.12941\/jksiam.2025.29.037<\/a><\/p>\n

    [3] Hyeongseok Hwang, Hyundong Kim, and Myeongsu Choi, Valuing convertible bonds with a priority issuer call option using the finite difference method, J. Korean Soc. Ind. Appl. Math.<\/em> 29(2) (2025), 130\u2013144. https:\/\/doi.org\/10.12941\/jksiam.2025.29.130<\/a><\/p>\n

    [4] Soobin Kwak, Practical implementation of boundary conditions in the Thomas algorithm, J. Korean Soc. Ind. Appl. Math.<\/em> 29(2) (2025), 171\u2013183. https:\/\/doi.org\/10.12941\/jksiam.2025.29.171<\/a><\/p>\n

    [5] Chaeeun Yoo, Minhwan Ji, and Jaemin Shin, Second-order operator splitting method for solving heterogeneous diffusion equations, J. Korean Soc. Ind. Appl. Math.<\/em> 29(3) (2025), 229\u2013245. https:\/\/doi.org\/10.12941\/jksiam.2025.29.229<\/a><\/p>\n

    [6] Youngjin Hwang, Hyundong Kim, and Hyunho Shin, Boundary-aware Thomas solvers for 3D diffusion: Implementation and analysis, J. Korean Soc. Ind. Appl. Math.<\/em> 29(3) (2025), 246\u2013254. https:\/\/doi.org\/10.12941\/jksiam.2025.29.246<\/a><\/p>\n

    [7] Donggwon Choi, Zhengang Li, Yunjae Nam, and Junseok Kim, An algorithm for estimating implied volatility in equity-linked securities, J. Korean Soc. Ind. Appl. Math.<\/em> 29(4) (2025), 255\u2013270. https:\/\/doi.org\/10.12941\/jksiam.2025.29.255<\/a><\/p>\n

    [8] Youngjin Hwang, Hyundong Kim, Junwon Ko, and Hyunho Shin, A practical explicit finite difference scheme for image segmentation, J. Korean Soc. Ind. Appl. Math.<\/em> 29(4) (2025), 280\u2013291. https:\/\/doi.org\/10.12941\/jksiam.2025.29.280<\/a><\/p>\n

    [9] Hyundong Kim, Numerical dynamics for the Allen\u2013Cahn equation with variable mobility on curved surfaces, J. Korean Soc. Ind. Appl. Math.<\/em> 29(4) (2025), 360\u2013376. https:\/\/doi.org\/10.12941\/jksiam.2025.29.360<\/a><\/p>\n

    [10] Seongho Shin, and Dongsun Lee, The Allen\u2013Cahn equation with domain-dependent free energy, J. Korean Soc. Ind. Appl. Math.<\/em> 29(4) (2025), 377\u2013388. https:\/\/doi.org\/10.12941\/jksiam.2025.29.377<\/a><\/p>\n

    [11] Ke Zhang, and Meiyun Nan, An FEM for solving the Allen\u2013Cahn equation with a high-order potential, J. Korean Soc. Ind. Appl. Math.<\/em> 29(4) (2025), 389\u2013398. https:\/\/doi.org\/10.12941\/jksiam.2025.29.389<\/a><\/p>\n

    [12] Chaeyoung Lee, An efficient zero level interface preserving model with a modified conservative Allen\u2013Cahn equation, J. Korean Soc. Ind. Appl. Math.<\/em> 29(4) (2025), 399\u2013410. https:\/\/doi.org\/10.12941\/jksiam.2025.29.399<\/a><\/p>\n

    [13] Zhengang Li, A numerical scheme for the implied volatility estimation of two-asset equity-linked securities, J. Korean Soc. Ind. Appl. Math.<\/em> 30(1) (2026), 49\u201359. https:\/\/doi.org\/10.12941\/jksiam.2026.30.049<\/a><\/p>\n

    [14] Meiyun Nan, and Ke Zhang, An operator splitting method combined with a bisection-based technique for a conservative Allen\u2013Cahn equation, J. Korean Soc. Ind. Appl. Math.<\/em> 30(1) (2026), 78\u201392. https:\/\/doi.org\/10.12941\/jksiam.2026.30.078<\/a><\/p>\n

    [15] Hyun Geun Lee, A simple and efficient method for a conservative Swift\u2013Hohenberg equation with a strong nonlinear vacancy potential, J. Korean Soc. Ind. Appl. Math.<\/em> 30(1) (2026), 93\u2013105. https:\/\/doi.org\/10.12941\/jksiam.2026.30.093<\/a><\/p>\n

    [16] R Poovarasan, Seungjae Lee, and Yongho Choi, A numerical comparison of boundary condition influences in the Allen\u2013Cahn equation, J. Korean Soc. Ind. Appl. Math.<\/em> 30(1) (2026), 106\u2013127. https:\/\/doi.org\/10.12941\/jksiam.2026.30.106<\/a><\/p>\n

    [17] Hyunho Shin, Stability analysis of a fully explicit isotropic finite difference scheme for the Allen\u2013Cahn equation with high-order polynomial potentials, J. Korean Soc. Ind. Appl. Math.<\/em> 30(2) (2026), 128\u2013142. https:\/\/doi.org\/10.12941\/jksiam.2026.30.128<\/a><\/p>\n

    [18] Sungwon Jung, Hyeonseo Kim, Seungjae Lee, and Hyundong Kim, An effective adaptive time stepping method for a normalized time-fractional Black\u2013Scholes equation, J. Korean Soc. Ind. Appl. Math.<\/em> 30(2) (2026), 237\u2013254. https:\/\/doi.org\/10.12941\/jksiam.2026.30.237<\/a><\/p>\n

    [19] Minjoon Bang, Hyunho Shin, and Yunjae Nam, A finite difference method for reverse step-down equity-linked securities, J. Korean Soc. Ind. Appl. Math.<\/em> 30(2) (2026), 255\u2013276. https:\/\/doi.org\/10.12941\/jksiam.2026.30.255<\/a><\/p>\n

    [20] Yunjae Nam, Nonlinear least-squares curve fitting with the MATLAB function lsqcurvefit, J. Korean Soc. Ind. Appl. Math.<\/em> 30(2) (2026), 299\u2013323. https:\/\/doi.org\/10.12941\/jksiam.2026.30.299<\/a><\/p>\n

    [21] Hyeonseo Kim, and Hyundong Kim, Application of a fifth-order Runge\u2013Kutta method to benchmark problems for the Cahn\u2013Hilliard equation, J. Korean Soc. Ind. Appl. Math.<\/em> 30(2) (2026), 324\u2013338. https:\/\/doi.org\/10.12941\/jksiam.2026.30.324<\/a><\/p>\n

    [22] Seonggyeom Ahn, Ali Raza, and Darae Jeong, An explicit multi-time stepping hybrid scheme for the Allen\u2013Cahn equation, J. Korean Soc. Ind. Appl. Math.<\/em> 30(2) (2026), 339\u2013358. https:\/\/doi.org\/10.12941\/jksiam.2026.30.339<\/a><\/p>\n

    [23] Youngjin Hwang, and Yongseok Jang, Phase-field decoupled method for multi-component Cahn\u2013Hilliard equation, J. Korean Soc. Ind. Appl. Math.<\/em> 30(3) (2026), 377\u2013401. https:\/\/doi.org\/10.12941\/jksiam.2026.30.377<\/a><\/p>\n

    [24] Hyeonseo Kim, and Hyundong Kim, Benchmark problems with a fifth-order Runge\u2013Kutta method for the multi-dimensional Cahn\u2013Hilliard equation, J. Korean Soc. Ind. Appl. Math.<\/em> 30(3) (2026), 414\u2013432. https:\/\/doi.org\/10.12941\/jksiam.2026.30.414<\/a><\/p>\n

    [25] Soobin Kwak, A discrete sine transform method for the normalized time-fractional diffusion equation, J. Korean Soc. Ind. Appl. Math.<\/em> 30(3) (2026), 433\u2013445. https:\/\/doi.org\/10.12941\/jksiam.2026.30.433<\/a><\/p>\n

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    ORCID:  0000-0002-0484-9189     https:\/\/sciprofiles.com\/profile\/817797 (h-index 49)   Computational methods for the three-dimensional phase-field equations using discrete cosine transform … Hyun Geun Lee, Xinpei Wu, Seungjae Lee, Hyeonseo Kim, Zhengang Li, Yuzhao Ye, Meiyun Nan, Sungwon Jung, and Junseok Kim, accepted, \u200bPhysica A, 2026. Ternary incompressible flow simulations on a virtual cube using the conservative Allen\u2013Cahn\u2013Navier\u2013Stokes … <\/p>\n

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