
{"id":4773,"date":"2023-10-24T20:36:32","date_gmt":"2023-10-24T11:36:32","guid":{"rendered":"https:\/\/mathematicians.korea.ac.kr\/cfdkim\/?page_id=4773"},"modified":"2026-04-15T23:38:25","modified_gmt":"2026-04-15T14:38:25","slug":"submission","status":"publish","type":"page","link":"https:\/\/mathematicians.korea.ac.kr\/cfdkim\/submission\/","title":{"rendered":"Submission"},"content":{"rendered":"<p><span style=\"color: #008000\"><strong>Revision submitted<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<ol>\n<li>Numerical\u200b \u200bSolution\u200b \u200bof\u200b \u200bthe\u200b \u200bLandau\u2013Lifshitz\u2013Gilbert\u200b \u200bEquation\u200b \u200bUsing\u200b \u200bFourier\u200b \u200bCollocation\u200b \u200bMethod <a href=\"https:\/\/mc03.manuscriptcentral.com\/joms\" target=\"_blank\" rel=\"noopener\">&#8230;<\/a> Moumni Mohammed, Ouhraichou Hicham, Junseok Kim, submitted, <strong><b><em>Journal\u200b&nbsp;\u200bof\u200b&nbsp;\u200bMathematical\u200b&nbsp;\u200bStudy\u200b<\/em><\/b><\/strong>, 2026.<\/li>\n<li>A cell structure implementation of the multigrid method for the three-dimensional diffusion equation <a href=\"https:\/\/rp.tandfonline.com\/dashboard\/\" target=\"_blank\" rel=\"noopener\">(20251016)<\/a> Youngjin Hwang, Soobin Kwak, Jyoti, Hyunho Shin, Xinpei Wu, Junseok Kim,&nbsp;submitted, <strong>\u200b<b><em>International Journal of Computer Mathematics<\/em><\/b><\/strong>, 2026.<\/li>\n<li>A numerical method for the 3D nonlocal Cahn-Hilliard equation with a space-dependent parameter <a href=\"http:\/\/mc.manuscriptcentral.com\/aamm\" target=\"_blank\" rel=\"noopener\">(20251228)<\/a> Xinpei Wu, Juho Ma, Junseok Kim, submitted, <strong>Advances\u200b&nbsp;\u200bin\u200b&nbsp;\u200bApplied\u200b&nbsp;\u200bMathematics\u200b&nbsp;\u200band\u200b&nbsp;\u200bMechanics\u200b<\/strong>, 2026.<\/li>\n<li><span style=\"color: #000000\">A multigrid solver for the Allen-Cahn equation on a virtual cubic surface <a style=\"color: #000000\" href=\"https:\/\/www.editorialmanager.com\/apnum\/default.aspx?adobe_mc=MCMID%3D72583618593243979513672338158357000364%7CMCORGID%3D4D6368F454EC41940A4C98A6%2540AdobeOrg%7CTS%3D1770393087\" target=\"_blank\" rel=\"noopener\">(20251202, Feb\u200b&nbsp;\u200b24,\u200b&nbsp;\u200b2026\u200b)<\/a> Junxiang Yang, Soobin Kwak, Seokjun Ham, Youngjin Hwang, Hyundong Kim, Juho Ma, Junseok Kim, submitted, <a href=\"https:\/\/track.authorhub.elsevier.com?uuid=2fc0ae86-71a2-4854-84e5-87ffe0ed171b\" target=\"_blank\" rel=\"noopener\"><strong><b><em>Applied\u200b&nbsp;\u200bNumerical\u200b&nbsp;\u200bMathematics<\/em><\/b><\/strong><\/a>, 2026.<\/span><\/li>\n<li>Practical volume merging method for triply periodic minimal structures <a href=\"https:\/\/rp.tandfonline.com\/dashboard\/\" target=\"_blank\" rel=\"noopener\">(20251224)<\/a>&nbsp;Seungyoon Kang, Yibao Li, Soobin Kwak, Yongho Choi, Junseok Kim, submitted, <strong>\u200b<i><b>Computer Methods in Biomechanics and Biomedical Engineering<\/b><\/i><\/strong>, 2026.<\/li>\n<li>An\u200b \u200bunconditionally\u200b \u200bstable\u200b \u200bscheme\u200b \u200bfor\u200b \u200bthe\u200b \u200bModica-Mortola\u200b \u200bequation\u200b \u200bwith\u200b \u200ba\u200b \u200bvariable\u200b \u200binterfacial\u200b \u200bparameter <a href=\"https:\/\/link.springer.com\/journal\/42967\" target=\"_blank\" rel=\"noopener\">(20250712)<\/a> Seokjun Ham, Junxiang Yang, Youngjin Hwang, Junseok Kim, submitted, <strong><i>Communications on Applied Mathematics and Computation<\/i><\/strong>, 2026.<\/li>\n<li>Modeling and numerical simulation of the normalized time-fractional Navier&#8211;Stokes equations <a href=\"https:\/\/www.editorialmanager.com\/jcomp\/\" target=\"_blank\" rel=\"noopener\">(20251019, Apr 07, 2026)<\/a> Jian Wang, Lin Wu, Yu Wang, Runqiao Peng, Junseok Kim,&nbsp;submitted, <strong>\u200b<a href=\"https:\/\/track.authorhub.elsevier.com?uuid=9765dc6e-c8dc-4568-8900-d30b0c431a61\" target=\"_blank\" rel=\"noopener\"><i><b>Journal of Computational Physics<\/b><\/i><\/a><\/strong>, 2026.<\/li>\n<li>A\u200b \u200bnumerical\u200b \u200banalysis\u200b \u200bof\u200b \u200bthe\u200b \u200bnormalized\u200b \u200btime-fractional\u200b \u200bKeller\u2013Segel\u200b \u200bequations <a href=\"https:\/\/www.editorialmanager.com\/aide\" target=\"_blank\" rel=\"noopener\">(20251122, Due by 17\u200b \u200bApr\u200b \u200b2026)<\/a> Chaeyoung\u200b \u200bLee,\u200b \u200bAna\u200b \u200bYun, \u200bDarae\u200b \u200bJeong,\u200b \u200bYibao\u200b \u200bLi,\u200b \u200bJuho\u200b \u200bMa,\u200b \u200bYunjae\u200b \u200bNam,\u200b \u200bJunseok\u200b \u200bKim, <span style=\"color: #000000\">submitted, <\/span><strong>Advances\u200b \u200bin\u200b \u200bContinuous\u200b \u200band\u200b \u200bDiscrete\u200b \u200bModels:\u200b \u200bTheory\u200b \u200band\u200b \u200bApplications<\/strong>, 2025.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><strong><span style=\"color: #008000\">In revision<\/span><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #008000\"><strong>Submitted<\/strong><\/span><\/p>\n<ol>\n<li>Numerical investigation of reverse equity-linked securities <a href=\"https:\/\/www.editorialmanager.com\/csem\" target=\"_blank\" rel=\"noopener\">(20250704)<\/a> Yunjae Nam, Jian Wang, Hyundong Kim, Soobin Kwak, Minjoon Bang, Zhengang Li, Junseok Kim, submitted, <strong><i><b>Computational\u200b&nbsp;\u200bEconomics<\/b><\/i><\/strong>, 2026.<\/li>\n<li>A second-order unconditionally energy stable scheme for the Lifshitz-Petrich model integrated with observed data (20250726) \u200bXiaochuan\u200b \u200bHu, Junseok Kim, Yibao Li, submitted,&nbsp; <strong>\u200b\u200bApplied Mathematics and Computation<\/strong>, 2026.<\/li>\n<li>Changes\u200b&nbsp;\u200bin\u200b&nbsp;\u200bGlobal\u200b&nbsp;\u200bTrade\u200b&nbsp;\u200bCenters:\u200b&nbsp;\u200bBased\u200b&nbsp;\u200bon\u200b&nbsp;\u200ba\u200b&nbsp;\u200bVisual\u200b&nbsp;\u200bAssessment\u200b&nbsp;\u200bMethod <a href=\"https:\/\/chaos.peerx-press.org\/cgi-bin\/main.plex\" target=\"_blank\" rel=\"noopener\">(20250818)<\/a> Jian\u200b \u200bWang;\u200b \u200bHaixiao\u200b \u200bWang;\u200b \u200bWei\u200b \u200bShao;\u200b \u200bJie\u200b \u200bChen;\u200b \u200bShanshan\u200b \u200bGe;\u200b \u200bJunseok\u200b \u200bKim, submitted,&nbsp; <strong>\u200b\u200b<i>Chaos: An Interdisciplinary Journal of Nonlinear Science<\/i><\/strong>, 2026.<\/li>\n<li>A modified ensemble Kalman filter method with an adaptive ensemble strategy for multiphase flow systems (20251010) Zihan Wang, Wenxuan Xie, Junseok Kim, Yibao Li, submitted, <strong>\u200b<b><em>Journal of Computational Physics<\/em><\/b><\/strong>, 2026.<\/li>\n<li>Unconditionally\u200b \u200bmaximum\u200b \u200bbound\u200b \u200bprinciple\u200b \u200bpreserving\u200b \u200balgorithm\u200b \u200bfor\u200b \u200bthe\u200b \u200b3D\u200b \u200bAllen\u2013Cahn\u200b \u200bequation\u200b \u200bwith\u200b \u200ba\u200b \u200btime-dependent\u200b \u200blogarithmic\u200b \u200bpotential (<a href=\"https:\/\/www.editorialmanager.com\/acom\/default.aspx\" target=\"_blank\" rel=\"noopener\">20251019, cfdkim<\/a>) Sangkwon Kim, Juho Ma, Ke Zhang, Soobin Kwak, Junseok Kim,&nbsp;submitted, <strong>\u200b<i><b>Advances\u200b&nbsp;\u200bin\u200b&nbsp;\u200bComputational\u200b&nbsp;\u200bMathematics<\/b><\/i><\/strong>, 2026.<\/li>\n<li>Numerical Analysis for the Normalized Time-Fractional Modica&#8211;Mortola Functional (<a href=\"https:\/\/rp.tandfonline.com\/dashboard\/\" target=\"_blank\" rel=\"noopener\">20251030, \uc5b5\uc149 \ub420 \uacbd\uc6b0 \uc5f0\uad6c\ube44\uc9c0\uc6d0 300<\/a><a href=\"https:\/\/www.editorialmanager.com\/elscam\/.\" target=\"_blank\" rel=\"noopener\">)<\/a> Zhengang Li, Soobin Kwak, Xinpei Wu, Juho Ma, Qunzhi Jin, Junseok Kim, <strong><i><b>Numerical Functional Analysis and Optimization<\/b><\/i><\/strong>, 2026.<\/li>\n<li>Performance\u200b \u200bassessment\u200b \u200bof\u200b \u200bnumerical\u200b \u200bmethods\u200b \u200bfor\u200b \u200bsolving\u200b \u200bthe\u200b \u200bAllen-Cahn\u200b \u200bequation <a href=\"https:\/\/kkms.org\/index.php\/kjm\/authorDashboard\/submission\/2334\" target=\"_blank\" rel=\"noopener\">(20251215)<\/a> Seokjun Ham, Juho Ma, Zhengang Li, Xinpei Wu, Yunjae Nam, Junseok Kim, submitted, <strong><i><b>Korean Journal of Mathematics<\/b><\/i><\/strong>, 2026.<\/li>\n<li>Stability, bifurcation and high-dimensional Turing pattern of a diffusive pine wilt disease system (20260102) Mengxin Chen, Xue-Zhi Li, Junseok Kim, submitted,&nbsp; <strong>\u200b\u200b\u200bChaos, Solitons and Fractals<\/strong>, 2026.<\/li>\n<li>Multi material stress-constrained topology optimization based on the phase field method (20260106) Wenxuan Xie, Zhuoheng Wang, Junseok Kim, Yibao Li, submitted, <strong><b><em>Communications in Nonlinear Science and Numerical Simulation<\/em><\/b><\/strong>, 2026.<\/li>\n<li>An unconditionally stable denoising algorithm on non-uniform grids <a href=\"https:\/\/www.editorialmanager.com\/visi\" target=\"_blank\" rel=\"noopener\">(20260106, \u200bcfdkim)<\/a>&nbsp; Jian Wang, Shanshan Ge, Junseok Kim, submitted, <strong><b><em>International\u200b&nbsp;\u200bJournal\u200b&nbsp;\u200bof\u200b&nbsp;\u200bComputer\u200b&nbsp;\u200bVision<\/em><\/b><\/strong>, 2026.<\/li>\n<li>Microstructural evolution prediction in the phase field crystal model with VAE-LSTM and ensemble kalman filtering (20260115) &nbsp;Jiachen Feng, Wenxuan Xie, Zhixian Lv, Qing Xi, Junseok Kim, Yibao Li , submitted, <strong><b><em>Communications in Nonlinear Science and Numerical Simulation<\/em><\/b><\/strong>, 2026.<\/li>\n<li>Modeling and simulation of the normalized time-fractional nonlocal Cahn-Hilliard equation <a href=\"https:\/\/www.editorialmanager.com\/MATCOM\" target=\"_blank\" rel=\"noopener\">(20260119)<\/a> Seungyoon Kang, Xinpei Wu, Seungjae Lee, Junseok Kim, <a href=\"https:\/\/track.authorhub.elsevier.com?uuid=988a4c0e-4d2a-4265-9ec2-98430b4ac872\" target=\"_blank\" rel=\"noopener\"><strong>Mathematics\u200b&nbsp;\u200band\u200b&nbsp;\u200bComputers\u200b&nbsp;\u200bin\u200b&nbsp;\u200bSimulation<\/strong><\/a>, 2026.<\/li>\n<li>Numerical simulation of unconditionally stable normalized fractional Gray-Scott equation <a href=\"https:\/\/www.editorialmanager.com\/camwa\" target=\"_blank\" rel=\"noopener\">(20260226)<\/a> Jian Wang, Yu Wang, Runqiao Peng, Lin Wu Junseok Kim, submitted, <strong><b><em>Computers and Mathematics with Applications<\/em><\/b><\/strong>, 2026.&nbsp;<\/li>\n<li>A normalized multi-term approach to time-fractional diffusion with weighted memory effects <a href=\"https:\/\/www.editorialmanager.com\/cnsns\/default.aspx\" target=\"_blank\" rel=\"noopener\">(20260308\u200b)<\/a> Yongho Choi, R\u200b \u200bPoovarasan, Junseok Kim, submitted, <strong>Communications in Nonlinear Science and Numerical Simulation<\/strong>, 2026.<\/li>\n<li>An efficient adaptive time-step method for a normalized time-fractional SIR model with demographic processes <a href=\"https:\/\/www.editorialmanager.com\/ijb\" target=\"_blank\" rel=\"noopener\">(20260312, cfdkim)<\/a> Chaeyoung Lee, Meiyun Nan, Xinpei Wu, Junseok Kim<span style=\"color: #000000\">, submitted, <strong><b><em>International\u200b \u200bJournal\u200b \u200bof\u200b \u200bBiomathematics<\/em><\/b><\/strong>, 2026.<\/span><\/li>\n<li>Normalized time-fractional predator-prey model with landscape features (<a href=\"https:\/\/www.editorialmanager.com\/ijb\/l.asp?i=298668&amp;l=PIXT7NFU\" target=\"_blank\" rel=\"noopener\">20260319, cfdkim \uc5b5\uc149 \ub420 \uacbd\uc6b0 \uc5f0\uad6c\ube44\uc9c0\uc6d0<\/a> 300<a style=\"font-size: 1rem\" href=\"https:\/\/www.editorialmanager.com\/chaos\" target=\"_blank\" rel=\"noopener\">)<\/a><span style=\"font-size: 1rem\"> Xinpei Wu, Soobin Kwak, Juho Ma, Junseok Kim, submitted, <\/span><strong style=\"font-size: 1rem\">\u200b<i>International\u200b&nbsp;\u200bJournal\u200b&nbsp;\u200bof\u200b&nbsp;\u200bBiomathematics<\/i><\/strong><span style=\"font-size: 1rem\">, 2026.<\/span><\/li>\n<li>A stable and efficient second-order finite difference scheme for solving the Allen\u2013Cahn equation <a href=\"https:\/\/www.editorialmanager.com\/ICHMT\" target=\"_blank\" rel=\"noopener\">(20260320)<\/a> Soobin Kwak, Juho Ma, Junwon Ko, Meiyun Nan, Zhengang Li, Xinpei Wu, Junseok Kim, submitted, <a href=\"https:\/\/track.authorhub.elsevier.com?uuid=af57553e-33b9-4440-8c6a-434a14c79b33\" target=\"_blank\" rel=\"noopener\"><strong>International Communications in Heat and Mass Transfer<\/strong><\/a>, 2026.<\/li>\n<li>A Comprehensive Review of Numerical Methods for the Time-Fractional Allen\u2013Cahn Equation <a href=\"https:\/\/www.editorialmanager.com\/physa\" target=\"_blank\" rel=\"noopener\">(20260325)<\/a> Yongho Choi, R Poovarasan, Xinpei Wu, Seoungjae Lee, Junseok Kim, submitted, <strong>Physica A<\/strong>, 2026.&nbsp;<\/li>\n<li>A third-order temporal accurate and unconditionally stable Runge-Kutta scalar auxiliary variable method for the modified phase field crystal model <a href=\"https:\/\/www.editorialmanager.com\/cnsns\/default.aspx\" target=\"_blank\" rel=\"noopener\">(20260325)<\/a> Xiaochuan Hu, Yibao Li, Sijing Lai, Zhixian Lv, Wenxuan Xie, Junseok Kim, submitted, <strong>\u200b<b><em>Communications in Nonlinear Science and Numerical Simulation<\/em><\/b><\/strong>, 2026.<\/li>\n<li>The Fourier-spectral method for solving the normalized time-fractional Swift\u2013Hohenberg model <a href=\"https:\/\/rp.tandfonline.com\/dashboard\/\" target=\"_blank\" rel=\"noopener\">(20260325, \u200bcfdkim)<\/a> Ke Zhang, Zhengang Li, Xinpei Wu, Seungjae Lee, Soobin Kwak, Junseok Kim, submitted, <strong><i><b><em>International Journal of Computer Mathematics<\/em><\/b><\/i><\/strong>, 2026.<\/li>\n<li>Maximum\u200b \u200bprinciple-preserving\u200b \u200bexplicit\u200b \u200bmethod\u200b \u200bfor\u200b \u200bthe\u200b \u200bconservative\u200b \u200bAllen&#8211;Cahn\u200b equation <a href=\"https:\/\/www.editorialmanager.com\/camwa\/\" target=\"_blank\" rel=\"noopener\">(20260326)<\/a> Youngjin Hwang, Junseok Kim, submitted, <strong><i><em>Computers and Mathematics with Applications<\/em><\/i><\/strong>, 2026.<\/li>\n<li>3D models of Voronoi-based hollow and lattice structures in complex domains: geometric construction and hydrodynamic analysis <a href=\"https:\/\/www.editorialmanager.com\/YMSSP\" target=\"_blank\" rel=\"noopener\">(20260327, JKim-573)<\/a> Jian Wang, Qin Liu, Junseok Kim, submitted, <strong><b><em>Mechanical Systems and Signal Processing<\/em><\/b><\/strong>, 2026.<\/li>\n<li>Binary classification of noisy and imbalanced data using a high-order Allen-Cahn equation with a fidelity term <a href=\"https:\/\/www.editorialmanager.com\/ELSCAM\" target=\"_blank\" rel=\"noopener\">(20260330)<\/a> Sangkwon Kim, Youngjin Hwang, Junseok Kim, submitted, <a href=\"https:\/\/track.authorhub.elsevier.com?uuid=9eac0925-40bb-488e-a147-19954c5d0e62\" target=\"_blank\" rel=\"noopener\"><strong>Journal of Computational and Applied Mathematics<\/strong><\/a>, 2026.<\/li>\n<li>A Positivity-Preserving Adaptive Finite Volume Method for the Ternary Allen\u2013Cahn Equation <a href=\"https:\/\/www.editorialmanager.com\/APNUM\" target=\"_blank\" rel=\"noopener\">(20260403)<\/a>&nbsp;Jilong He, Junseok Kim, submitted, <a href=\"https:\/\/track.authorhub.elsevier.com?uuid=f35991c0-012b-428c-a256-ec04380eff70\" target=\"_blank\" rel=\"noopener\"><strong><b><em>Applied\u200b&nbsp;\u200bNumerical\u200b&nbsp;\u200bMathematics<\/em><\/b><\/strong><\/a>, 2026.<\/li>\n<li>Optimal calibration of the temporally varying volatility function <a href=\"https:\/\/submission.springernature.com\/submission-details\/b813eb39-3829-4eae-a7a7-acae04e40f13?utm_source=submissions&amp;utm_medium=email&amp;utm_campaign=confirmation-email&amp;journal_id=11147\" target=\"_blank\" rel=\"noopener\">(20260408)<\/a> Jian Wang, Youngjin Hwang, Hyundong Kim, Soobin Kwak, Junseok Kim, submitted, <strong>\u200b\u200b<i><em>Review of Derivatives Research<\/em><\/i><\/strong>, 2026.\u200b<\/li>\n<li>Highly efficient scheme for a three-dimensional normalized time-fractional Allen-Cahn equation <a href=\"https:\/\/url7745.atyponrex.com\/ls\/click?upn=u001.aqNX03t-2FSyjvo9zSrdrTDl-2FuO3wMiiVt9DE7kBGFVHTsejw7fanjZ2kpb3IfkW65EeH8bZx3oKLawNrw4XnuRcU8Ilu-2F6QLaEAMAMjWXkZ2wmGnXOX8mQ0SKC7m4wWjJKcgJ_-2BigRhRz6BZiC7xmLOSQmAwEfVsEjS2UwS2Ib7UIkWgPzXErobvq-2B40JR2R6OhGRgqTH6kV5rbBJtGn0FEgiHRQ-2F12pOP4cMgQH18ocw1gNtzGXMJ7VEtbaWHAiKiEu8dvT1PqRQXXEnRA-2FjUGStSbzSOmecu8ov3n-2FYVBDfquBW9eRaMJ5f9lMH2CipADLB3zkqYJK2m6Uut3Hl4QBlLHa0oxEAjY4EFlQdgBXydQIEQabwpZNXlUzjfoW-2BQkUefn-2FPIj9miJfFLBR5fCFpAIvcwwIUODE9gLjxjI7k0YUFPuu3wktQq2DF10vOAKheor6fIcpFnRpy8sv0vNP-2B6EQ-3D-3D\" target=\"_blank\" rel=\"noopener\">(20260409)<\/a> Ke Zhang, Jian Wang, Seungjae Lee, Xinpei Wu, Meiyun Nan, Junseok Kim, submitted, <strong><em>Numerical Methods for Partial Differential Equations<\/em><\/strong>, 2026.<\/li>\n<li>A space-adaptive, unconditionally stable, and maximum bound preserving scheme for the 3D Allen\u2013Cahn equation <a href=\"https:\/\/www.editorialmanager.com\/chaos\" target=\"_blank\" rel=\"noopener\">(20260410)<\/a> Soobin Kwak, Junseok Kim, submitted, <strong>\u200b<b><em>\u200bChaos, Solitons and Fractals<\/em><\/b><\/strong>, 2026.<\/li>\n<li>Efficient data classification with a phase-field equation on a triangular mesh <a href=\"https:\/\/www.editorialmanager.com\/pr\" target=\"_blank\" rel=\"noopener\">(20260411)<\/a> Hyundong Kim, Zhengang Li, Xinpei Wu, Juho Ma, Junseok Kim, submitted, <strong>Pattern Recognition<\/strong>, 2026.<\/li>\n<li>Time-step constraint for maximum-principle-preserving non-isothermal Allen&#8211;Cahn equation with logarithmic potential <a href=\"https:\/\/www.editorialmanager.com\/comphy\" target=\"_blank\" rel=\"noopener\">(20260413)<\/a> Juho Ma, Soobin Kwak, Ke Zhang, Zhengang Li, Sangkwon Kim, Junseok Kim, <strong>Computer Physics Communications<\/strong>, 2026.<\/li>\n<li><span style=\"color: #000000\">Reconstructing initial conditions through inverse problems in normalized time-fractional diffusion equations <a style=\"color: #000000\" href=\"https:\/\/www.editorialmanager.com\/jomp\/\" target=\"_blank\" rel=\"noopener\">(20260414)<\/a> Soobin Kwak, Xinpei Wu, Junseok Kim, submitted, <strong><i>\u200b<b><em>Journal\u200b&nbsp;\u200bof\u200b&nbsp;\u200bScientific\u200b&nbsp;\u200bComputing<\/em><\/b><\/i><\/strong>, 2026.<\/span><\/li>\n<li>A three-dimensional conservative Allen\u2013Cahn model with a curvature-dependent Lagrange multiplier <a href=\"https:\/\/www.editorialmanager.com\/HMT\/\" target=\"_blank\" rel=\"noopener\">(20260414)<\/a> <span style=\"color: #000000\">Soobin Kwak, Xinpei Wu, Junseok Kim, submitted, <strong><i>\u200b<b><em>International Journal of Heat and Mass Transfer<\/em><\/b><\/i><\/strong>, 2026.<\/span><\/li>\n<li><span style=\"color: #000000\"><span style=\"color: #000000\">Ternary incompressible flow simulations on a virtual cube using the conservative Allen\u2013Cahn\u2013Navier\u2013Stokes system <a style=\"color: #000000\" href=\"https:\/\/www.editorialmanager.com\/matcom\" target=\"_blank\" rel=\"noopener\">(20260414,<\/a> \uc5b5\uc149 \ub420 \uacbd\uc6b0 \uc5f0\uad6c\ube44\uc9c0\uc6d0 200<a style=\"color: #000000\" href=\"https:\/\/submit.elsevier.com\/JCOMP\/submissions\" target=\"_blank\" rel=\"noopener\">)<\/a> Xinpei Wu, Junseok Kim, submitted, <strong><i>\u200b<b><em>Mathematics\u200b&nbsp;\u200band\u200b&nbsp;\u200bComputers\u200b&nbsp;\u200bin\u200b&nbsp;\u200bSimulation<\/em><\/b><\/i><\/strong>, 2026.<\/span><\/span><\/li>\n<li>Physics-Informed Neural Networks with Local Non-Similarity Method for Mixed Convection of Williamson Fluid over a Porous Stretching Cylinder under MHD and Thermal Radiation <span style=\"color: #000000\"> <a style=\"color: #000000\" href=\"https:\/\/www.mdpi.com\/journal\/mathematics\" target=\"_blank\" rel=\"noopener\">(20260415)<\/a> Ahmed Zeeshan, Hameed Ullah Khan, Atef F. Hashem, Junseok Kim, submitted, <strong><i>\u200b<b><em>Mathematics<\/em><\/b><\/i><\/strong>, 2026.<\/span><\/li>\n<li><span style=\"color: #000000\">Normalized\u200b \u200bCaputo\u2013Fabrizio\u200b \u200bfractional\u200b \u200b2D\u200b \u200band\u200b \u200b3D\u200b \u200bdiffusion\u200b \u200bequations (20260415) Chaeyoung Lee, Seungjae Lee, Ke Zhang, Meiyun Nan, Junseok Kim, submitted, <strong><i>\u200b<b><em>Numerical\u200b&nbsp;\u200bMathematics:\u200b&nbsp;\u200bTheory,\u200b&nbsp;\u200bMethods\u200b&nbsp;\u200band\u200b&nbsp;\u200bApplications<\/em><\/b><\/i><\/strong>, 2026.<\/span><\/li>\n<li>The normalized space-time fractional Allen&#8211;Cahn equation <a href=\"https:\/\/www.editorialmanager.com\/ammod\/default.aspx\" target=\"_blank\" rel=\"noopener\">(20260415)<\/a> Hyun Geun Lee, Soobin Kwak, Juho Ma, Zhengang Li, Junseok Kim, submitted, <strong><i>Applied Mathematical Modelling<\/i><\/strong>, 2026.<\/li>\n<li><span style=\"color: #000000\">A normalized Caputo-Fabrizio fractional diffusion equation with decreasing weighting functions <a style=\"color: #000000\" href=\"https:\/\/www.editorialmanager.com\/mplb\/Default.aspx\" target=\"_blank\" rel=\"noopener\">(20260415)<\/a>&nbsp; Binhu Xia, Fatao Chen, Kun Wang, <\/span>Xinpei Wu, Zhengang Li, Meiyun Nan, Juho Ma, Junseok Kim, submitted, <strong><strong><b><em>Advances\u200b&nbsp;\u200bin\u200b&nbsp;\u200bComplex\u200b&nbsp;\u200bSystems<\/em><\/b><\/strong><\/strong>, 2026.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Applied Mathematics Letters: 2026\ub144 7\uc6d4 \ubd80\ud130 \ub17c\ubb38 \uc81c\ucd9c \uac00\ub2a5<\/strong><\/p>\n<p><span style=\"color: #008000\"><strong><i>Applied\u200b \u200bNumerical\u200b \u200bMathematics: \ud55c \ub2ec\uc5d0 \ubd84\uc57c \ubcc4 \ucd5c\ub300 5\ud3b8\uae4c\uc9c0 \uc81c\ucd9c \uac00\ub2a5 \uc800\ub110<\/i><\/strong><\/span><\/p>\n<p><span style=\"color: #ff6600\"><strong>Applied Mathematics and Computation: \uc720\uc0ac\ub3c4 1% \ucd08\uacfc\ud558\uba74 \ub370\uc2a4\ud06c \ub9ac\uc81d\ub428<\/strong><\/span><\/p>\n<p><strong>Journal\u200b \u200bof\u200b \u200bApplied\u200b \u200bMathematics\u200b \u200band\u200b \u200bComputing: Scope\uac00 \uc548 \ub9de\uc74c, \ub17c\ubb38 \uc81c\ucd9c X<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>In preparation<\/p>\n<div>&nbsp;<\/div>\n<div>1) Implicit conservative Allen-Cahn equation using multigrid method on a cubic surface<\/div>\n<div>2) Implicit Cahn-Hilliard equation using multigrid method on a cubic surface<\/div>\n<div>3) Implicit nonlocal Cahn-Hilliard equation using multigrid method on a cubic surface<\/div>\n<div>4) Two-phase Navier-Stokes-Cahn-Hilliard equation on a cubic surface.<\/div>\n<div><span style=\"font-size: 1rem\">5) Numerical studies for the phase-field crystal equation with a logarithmic free energy<\/span><\/div>\n<div><span style=\"font-size: 1rem\">6) Fast and simple short-time epidemic prediction algorithm for 2019 novel coronavirus (COVID-19) in China<\/span><\/div>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<ol>\n<li><span style=\"color: #008000\">Reconstruction of convexity-preserving local volatility functions <a style=\"color: #008000\" href=\"https:\/\/submission.springernature.com\/submission-details\/beca1fd8-e1cd-48ef-8593-007ed7373228?utm_source=submissions&amp;utm_medium=email&amp;utm_campaign=confirmation-email&amp;journal_id=11009\" target=\"_blank\" rel=\"noopener\">(20260210)<\/a> Sangkwon Kim, Jian Wang, Soobin Kwak, Hyundong Kim, Yunjae Nam, Junseok Kim, submitted, <strong>Methodology\u200b&nbsp;\u200band\u200b&nbsp;\u200bComputing\u200b&nbsp;\u200bin\u200b&nbsp;\u200bApplied\u200b&nbsp;\u200bProbability<\/strong>, 2026.<\/span><\/li>\n<li><span style=\"color: #008000\">Image\u200b \u200bInpainting\u200b \u200bwith\u200b \u200bthe\u200b \u200bAllen-Cahn\u200b \u200bEquation\u200b \u200bIncorporating\u200b \u200bHigh-Order\u200b \u200bPolynomial\u200b \u200bPotentials <a style=\"color: #008000\" href=\"https:\/\/www.editorialmanager.com\/SIGPRO\" target=\"_blank\" rel=\"noopener\">(20260206, cfdkim)<\/a> Jian Wang, Shanshan Ge, Keyong Chen, Ziwei Han, Junseok Kim, submitted, <strong>Signal Processing<\/strong>, 2026.<\/span><\/li>\n<li><span style=\"color: #008000\">Structure-guided mesh denoising method by reaction-diffusion equation <a style=\"color: #008000\" href=\"https:\/\/jcvm.org\/\" target=\"_blank\" rel=\"noopener\">(20250829)<\/a>, Jian Wang, Yanshan Wang, Ziwei Han, Junseok Kim, submitted, <strong><i><b>Computational Visual Media<\/b><\/i><\/strong>, 2026.<\/span><\/li>\n<li><span style=\"color: #008000\">The normalized time\u2013fractional FitzHugh\u2013Nagumo reaction\u2013diffusion equation (20260309) Serdal Yaz\u0131c\u0131, Bayram Cekim, Junseok Kim, submitted, <strong><i><b>Open Mathematics<\/b><\/i><\/strong>, 2026.<\/span><\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol>\n<li>Inpainting and denoising of fingerprint images using a nonlocal partial differential equation with a fidelity term <a href=\"https:\/\/submission.springernature.com\/submission-details\/bb89d854-5992-4f6a-9a2e-bbb0ce695095?utm_source=submissions&amp;utm_medium=email&amp;utm_campaign=confirmation-email&amp;journal_id=530\" target=\"_blank\" rel=\"noopener\">(20260224)<\/a> Soobin Kwak, Yibao Li, Junseok Kim, submitted, <strong><b><em>Multimedia\u200b&nbsp;\u200bSystems<\/em><\/b><\/strong>, 2026.<\/li>\n<li><span style=\"color: #000000\">A direct and simple metric for evaluating researchers\u2019 impact on the global scholarly&nbsp; communities <a style=\"color: #000000\" href=\"https:\/\/www.editorialmanager.com\/acs\" target=\"_blank\" rel=\"noopener\">(20241127)<\/a> Jian Wang, Menghao Huang, Youngjin Hwang, Seungyoon Kang, Xinpei Wu, Junseok Kim, submitted, <strong>Advances\u200b&nbsp;\u200bin\u200b&nbsp;\u200bComplex\u200b&nbsp;\u200bSystems<\/strong>, 2025.<\/span><\/li>\n<li><span style=\"color: #000000\">Computational\u200b \u200banalysis\u200b \u200bof\u200b \u200bthe\u200b \u200bdynamic\u200b \u200bproperties\u200b \u200bof\u200b \u200bnormalized\u200b \u200btime-fractional\u200b derivatives (<a style=\"color: #000000\" href=\"https:\/\/www.editorialmanager.com\/comphy\">20250815<\/a>\u200b)&nbsp; Yunjae Nam, Soobin Kwak, Xinpei Wu, Junseok Kim, submitted, <strong><b><em><i>Computer Physics Communications<\/i><\/em><\/b><\/strong>, 2025.<\/span><\/li>\n<li>A normalized time-fractional Landau&#8211;Lifshitz equation&nbsp;<a href=\"https:\/\/www.editorialmanager.com\/NONRWA\" target=\"_blank\" rel=\"noopener\">(20260214)<\/a> Soobin Kwak, Moumni Mohammed, Juho Ma, Xinpei Wu, Junseok Kim, submitted, <strong>Nonlinear Analysis: Real World Applications<\/strong>, 2026.<\/li>\n<li>Simulation\u200b \u200bof\u200b \u200bthe\u200b \u200bzebra\u200b \u200bpattern\u200b \u200bformation\u200b \u200bwith\u200b \u200bnonuniform\u200b \u200bstrip\u200b \u200bwidths\u200b \u200bon\u200b \u200ba\u200b \u200b3D\u200b \u200bmodel&nbsp;<a href=\"https:\/\/www.editorialmanager.com\/jbsc\">(20260223)<\/a> Binhu Xia, Seokjun Ham, Youngjin Hwang, Xinpei Wu, Junseok Kim, submitted, <strong><i>Journal\u200b&nbsp;\u200bof\u200b&nbsp;\u200bBiosciences<\/i><\/strong>, 2026.<\/li>\n<li><span style=\"color: #ff0000\">A normalized time-fractional conservative Allen-Cahn equation <a style=\"color: #ff0000\" href=\"https:\/\/www.editorialmanager.com\/physa\" target=\"_blank\" rel=\"noopener\">(20260206)<\/a> Dongsun Lee, Yunjae Nam, Soobin Kwak, Xinpei Wu, Zhengang Li, Juho Ma, Junseok Kim, submittd, <strong>Physica A<\/strong>, 2026.<\/span><\/li>\n<li><span style=\"color: #ff0000\">An efficient finite volume lattice Boltzmann method on nonuniform triangular meshes for curved surfaces <a style=\"color: #ff0000\" href=\"https:\/\/submission.springernature.com\/submission-details\/65b004f9-6a56-4e78-96a7-d8d495137056?utm_source=submissions&amp;utm_medium=email&amp;utm_campaign=confirmation-email&amp;journal_id=366\" target=\"_blank\" rel=\"noopener\">(20250710)<\/a> Youngjin Hwang, Soobin Kwak, Seokjun Ham, Xinpei Wu, Junseok Kim, submitted, <strong><b><em>Engineering\u200b&nbsp;\u200bwith\u200b&nbsp;\u200bComputers<\/em><\/b><\/strong>, 2026.<\/span><\/li>\n<li><span style=\"color: #ff0000\">Modified Allen\u2013Cahn equation for curvature-dependent tissue growth on three-dimensional surfaces <a style=\"color: #ff0000\" href=\"https:\/\/www.editorialmanager.com\/ammod\/default.aspx\" target=\"_blank\" rel=\"noopener\">(20260225)<\/a> Soobin Kwak, Yunjae Nam, Jyoti, Juho Ma, and Junseok Kim, <strong><b><em>Applied Mathematical Modelling<\/em><\/b><\/strong>, 2026.<\/span><\/li>\n<li><span style=\"color: #ff0000\">A geometric multigrid implementation for solving the three-dimensional Cahn-Hilliard equation (20251224) Youngjin Hwang, Xinpei Wu, Junseok Kim, submitted, <strong>Journal<\/strong>, 2025.<\/span><\/li>\n<li>Fully explicit numerical method for the incompressible Navier-Stokes equation <a href=\"https:\/\/www.editorialmanager.com\/semj\/Default.aspx\" target=\"_blank\" rel=\"noopener\">(20260327)<\/a> Junxiang Yang, Yibao Li, Chaeyoung Lee, Yongho Choi, Hyundong Kim, Junseok Kim, submitted, <strong>SeMA Journal<\/strong>, 2026.<\/li>\n<li>\u200bIsotropic discretization of a mathematical model for dendritic growth without artificial curvature <a href=\"https:\/\/submit.elsevier.com\/CRYS\/submissions\" target=\"_blank\" rel=\"noopener\">(20260326)<\/a> Seokjun Ham, Soobin Kwak, Xinpei Wu, Meiyun Nan, Junseok Kim, submitted, <strong><b><em>Journal of Crystal Growth<\/em><\/b><\/strong>, 2026.<\/li>\n<li>Practical reconstruction of smooth local volatility surfaces using an exponential of polynomial ansatz for options&nbsp;<a href=\"https:\/\/www.editorialmanager.com\/chaos\/Default.aspx\" target=\"_blank\" rel=\"noopener\">(20260329)<\/a> Yunjae Nam, Zhengang Li, Junseok Kim, submitted, <strong><b><em>Chaos, Solitons and Fractals<\/em><\/b><\/strong>, 2026.<\/li>\n<li>Classification of N-component data using the vector-valued Allen\u2013Cahn equations <a href=\"https:\/\/submission.springernature.com\/submission-details\/b2a416cd-5479-493e-bce4-6f5140e9adc8?utm_source=submissions&amp;utm_medium=email&amp;utm_campaign=confirmation-email&amp;journal_id=10044\" target=\"_blank\" rel=\"noopener\">(20260330)<\/a> Sangkwon Kim, Hyun Geun Lee, Youngjin Hwang, Soobin Kwak, Seokjun Ham, Junseok Kim, submitted, <strong><b><em>Pattern\u200b&nbsp;\u200bAnalysis\u200b&nbsp;\u200band\u200b&nbsp;\u200bApplications<\/em><\/b><\/strong>, 2026.<\/li>\n<li>The normalized time-fractional phase-field crystal equation <a href=\"https:\/\/www.editorialmanager.com\/NLS\/default.aspx\" target=\"_blank\" rel=\"noopener\">(20260220, Due by 18 April 2026)<\/a> Seungjae Lee, Ke Zhang, Yongho Choi, Soobin Kwak, Junseok Kim, submitted, <strong>Nonlinear Science<\/strong>, 2026.<\/li>\n<li>Region-aware Chest X-ray Bone Suppression using PDE-guided GAN (20250122) Yunseong Cho, Young Kim, Keunhoo Kim, Junseok Kim, Seungsang Oh, Sangjun Lee, Subin Bae, Dongkyu Lee, Sangkwon Kim, submitted, <strong>Pattern Recognition<\/strong>, 2026.<\/li>\n<li>Practical\u200b\u200b \u200bGeometric\u200b \u200bFeature\u200b \u200bPreserved\u200b \u200bDenoising\u200b \u200bAlgorithm (20251230) Wang,\u200b \u200bJian;\u200b \u200bWang,\u200b \u200bHaixiao;\u200b \u200bGe,\u200b \u200bShanshan;\u200b \u200bJiang,\u200b \u200bChenhua;\u200b \u200bKim,\u200b \u200bJunseok<span style=\"color: #000000\">, submitted, <\/span> <strong>Transactions on Graphics<\/strong>, 2026.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.aimspress.com\/journal\/mine\">Mathematics in Engineering<\/a><\/p>\n<p>Please find attached the PDF file with responses to the reviewer&#8217; comments.<\/p>\n<p>Please acknowledge receipt of this email<\/p>\n<p><strong>This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. \ud55c\uad6d\uc5f0\uad6c\uc7ac\ub2e8\uc5d0\uc11c \ubd80\uc5ec\ud55c \uacfc\uc81c \uad00\ub9ac\ubc88\ud638).<\/strong>&nbsp;\u203b MSIT: Ministry of Science and ICT<\/p>\n<p><strong>This work was supported by the National Research Foundation(NRF), Korea, under project BK21 FOUR.<\/strong><\/p>\n<p>Jian Wang is supported by&nbsp;National Natural Science Foundation of China (No. 12501531).<\/p>\n<p>The corresponding author (J.S. Kim) was supported by Korea University Grant<br \/>\nK2504591.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Revision submitted &nbsp; Numerical\u200b \u200bSolution\u200b \u200bof\u200b \u200bthe\u200b \u200bLandau\u2013Lifshitz\u2013Gilbert\u200b \u200bEquation\u200b \u200bUsing\u200b \u200bFourier\u200b \u200bCollocation\u200b \u200bMethod &#8230; Moumni Mohammed, Ouhraichou Hicham, Junseok Kim, submitted, Journal\u200b&nbsp;\u200bof\u200b&nbsp;\u200bMathematical\u200b&nbsp;\u200bStudy\u200b, 2026. A cell structure implementation of the multigrid method for the three-dimensional diffusion equation (20251016) Youngjin Hwang, Soobin Kwak, Jyoti, Hyunho Shin, Xinpei Wu, Junseok Kim,&nbsp;submitted, \u200bInternational Journal of Computer Mathematics, 2026. A &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/mathematicians.korea.ac.kr\/cfdkim\/submission\/\" class=\"more-link\">\ub354 \ubcf4\uae30<span class=\"screen-reader-text\"> &#8220;Submission&#8221;<\/span><\/a><\/p>\n","protected":false},"author":12,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0,"footnotes":""},"class_list":["post-4773","page","type-page","status-publish","hentry"],"distributor_meta":false,"distributor_terms":false,"distributor_media":false,"distributor_original_site_name":"\uace0\ub824\ub300\ud559\uad50 \uc218\ud559\uacfc \uacfc\ud559\uacc4\uc0b0 \uc5f0\uad6c\uc2e4\uc785\ub2c8\ub2e4.","distributor_original_site_url":"https:\/\/mathematicians.korea.ac.kr\/cfdkim","push-errors":false,"_links":{"self":[{"href":"https:\/\/mathematicians.korea.ac.kr\/cfdkim\/wp-json\/wp\/v2\/pages\/4773","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematicians.korea.ac.kr\/cfdkim\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathematicians.korea.ac.kr\/cfdkim\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/cfdkim\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/cfdkim\/wp-json\/wp\/v2\/comments?post=4773"}],"version-history":[{"count":2190,"href":"https:\/\/mathematicians.korea.ac.kr\/cfdkim\/wp-json\/wp\/v2\/pages\/4773\/revisions"}],"predecessor-version":[{"id":4778,"href":"https:\/\/mathematicians.korea.ac.kr\/cfdkim\/wp-json\/wp\/v2\/pages\/4773\/revisions\/4778"}],"wp:attachment":[{"href":"https:\/\/mathematicians.korea.ac.kr\/cfdkim\/wp-json\/wp\/v2\/media?parent=4773"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}