Submission

Revision submitted

 

 

  1. A review of the numerical methods for solving the binary Allen-Cahn equation (20241223, due by Mar 04, 2025) Hyun Geun Lee, Yibao Li, Junxiang Yang, Soobin Kwak, Youngjin Hwang, Seokjun Ham, Hyundong Kim, Jyoti -, Yunjae Nam, Junseok Kim, submitted, Physica A, 2025.​
  2. The normalized time-fractional Cahn-Hilliard equation (20241216, Mar 17, 2025) Hyun Geun Lee, Soobin Kwak, Seokjun Ham, Youngjin Hwang, Junseok Kim, submitted, Chaos, Solitons and Fractals, 2025.
  3. Accurate computation of Greeks for equity-linked security (ELS) near early redemption dates (20250114 , 윤재 논문 리비젼 연구비 지원) Yunjae Nam, Changwoo Yoo, Hyundong Kim, Jaewon Hong, Minjoon Bang, Junseok Kim, submitted, Quantitative Finance and Economics, 2025.
  4. Phase-field modeling of fiber-based thermal diffusion and phase transitions in the fused deposition modeling process (20250103, Due by Apr 6 2025) Binhu Xia, Sijing Lai, Qing Xia, Xiang Liu, Yibao Li, Junseok Kim, submitted, Communications in Nonlinear Science and Numerical Simulation, 2025.
  5. ​A​ ​normalized​ ​time-fractional​ ​Lotka-Volterra​ ​model (20250102) Junseok Kim, submitted, Korean Journal of Mathematics, 2025.

 

In revision

 

  1. A novel binary and ternary data classification system based on the modified Gray-Scott model (20241217 Due by Apr 13) Jian Wang, Shanshan Ge, Heming Xu, Wenjing Jiang, Junseok Kim, submitted, Nonlinear​ ​Dynamics, 2025.
  2. Restoration of partially damaged fingerprints using a partial differential equation (20250116 Due by Apr 17) Sangkwon Kim, Yibao Li, Soobin Kwak, Junseok Kim, submitted, Expert Systems With Applications, 2025.
  3. Pricing five-asset Equity-Linked Securities (ELS) with step-down and knock-in barrier conditions on Android platform (20241223, 이메일 주소 수정, 유사도 검사 Due by April 13) Junseok Kim, Juho Ma, Hyunho Shin, Hyundong Kim, submitted, AIMS​ ​Mathematics, 2025.
  4. Unconditionally​ ​stable​ ​method​ ​for​ ​the​ ​high-order​ ​Allen-Cahn​ ​equation (20250203  Due by April 22) Seungyoon Kang, Youngjin Hwang, Junseok Kim, submitted,  ​​Journal of Computational Science, 2025.
  5. Simulation of dendritic growth on a spherical surface using a multi-component phase-field model (20241223 JunseokKim, due by April 22) Sangkwon Kim, Soobin Kwak, Seokjun Ham, Youngjin Hwang, Junseok Kim, submitted, ​International Communications in Heat and Mass Transfer, 2025.

 

Submitted

  1. Fast pricing in Android platform calculator for four-asset step-down structure ELS using Brownian bridge (20240309) Hyundong Kim, Juho Ma, Sanghyun Lee,  Junseok Kim, submitted, Computational Economics, 2025.
  2. On the phase-field algorithm for distinguishing connected regions in digital model (20240619) Sijing Lai, Bing Jiang, Qing Xia, Binhu Xia, Junseok Kim, Yibao Li, submitted, Engineering Analysis with Boundary Elements, 2025.
  3. Decoupled, efficient and structure-preserving numerical scheme for a non-isothermal phase field sintering model (20240409) Jingjie Cheng, Qing Xia, Binhu Xia, Junseok Kim, Yibao Li, submitted, Computers and Mathematics with Applications, 2025.
  4. Curvature-dependent area preserving immersed boundary method for binary immiscible fluids (20240901) Haobo Hua, Pu Han, Huan Han, Seunggyu Lee, Hyundong Kim, Junseok Kim, submitted, International Journal of Heat and Fluid Flow, 2025.
  5. Reconstruction of convexity-preserving local volatility functions (20240924 !!) Sangkwon Kim, Jian Wang, Soobin Kwak, Hyundong Kim, Yunjae Nam, Junseok Kim, submitted, Annals​ ​of​ ​Operations​ ​Research, 2025.
  6. A​ ​simple​ ​numerical​ ​algorithm​ ​for​ ​generating​ ​circular​ ​porous​ ​pattern​ ​formation​ ​on​ ​curved​ ​surfaces (20240921, cfdkim) Youngjin Hwang, Seungyoon Kang, Jyoti, Junseok Kim, submitted, Computational​ ​and​ ​Applied​ ​Mathematics, 2025.
  7. A second-order finite difference method for the Black-Scholes model without far-field boundary conditions (20241102) Jian Wang, Xinpei Wu, Youngjin Hwang, Yunjae Nam, Soobin Kwak, Taehui Lee, Junseok Kim, submitted, Journal of Financial Stability, 2025.
  8. Optimal calibration of the temporally varying volatility function (20241211) Jian Wang, Youngjin Hwang, Hyundong Kim, Soobin Kwak, Junseok Kim, submitted, ​​International Journal of Finance & Economics, 2025.​
  9. An unconditionally stable adaptive finite difference scheme for the Allen–Cahn equation (20250111) Hyundong Kim, Seokjun Ham, Soobin Kwak, Junseok Kim, submitted, Computer Physics Communications, 2025.
  10. Stability​ ​analysis​ ​for​ ​maximum​ ​principle​ ​preserving​ ​fully​ ​explicit​ ​approach​ ​of​ ​the​ ​surface​ ​Allen-Cahn​ ​equation​ ​on​ ​curved​ ​surfaces  (20250113) Hyundong​ ​Kim,​ ​Jian​ ​Wang,​ ​Seokjun​ ​Ham,​ ​Youngjin​ ​Hwang,​ ​.​ ​Jyoti,​ ​Junseok​ ​Kim, submitted, ​Computers and Mathematics with Applications, 2025.​
  11. An efficient operator splitting method for a normalized time-fractional Allen–Cahn equation (20250208) Jian Wang, Keyong Chen, Junxiang Yang, Ziwei Han, Soobin Kwak, Yunjae Nam, Seokjun Ham, Junseok Kim, submitted, Fractals, 2025.
  12. An unconditionally stable denoising algorithm on non-uniform grids (20250204, !!)  Jian Wang, Shanshan Ge, Junseok Kim, submitted, Transactions​ ​on​ ​Graphics, 2025.
  13. Multi material stress-constrained topology optimization based on the phase field method (20250217) Wenxuan Xie, Zhuoheng Wang, Junseok Kim, Yibao Li, submitted, Computer Methods in Applied Mechanics and Engineering, 2025.
  14. A finite difference method for a normalized time-fractional Black–Scholes equation (20250217, 윤재 논문 리비젼 연구비 지원) Yunjae Nam, Jian Wang, Chaeyoung Lee, Yongho Choi, Minjoon Bang, Zhengang Li, Junseok Kim, submitted, International​ ​Journal​ ​of​ ​Applied​ ​and​ ​Computational​ ​Mathematics, 2025.
  15. Reconstructing the quadratic local volatility surface for European options (20250221) Yunjae Nam, Daeun Jeong, Hyundong Kim, Minjoon Bang, Changwoo Yoo, Junseok Kim, submitted, ​Journal of Computational and Applied Mathematics, 2025.
  16. An unconditional energy stable numerical scheme for fluid-surfactant system with data assimilation method (20250227) Xiaochuan Hu, Xin Song, Qing Xia, Junseok Kim, Yibao Li, submitted, ​Communications in Nonlinear Science and Numerical Simulation, 2025.
  17. Computational​ ​analysis​ ​of​ ​the​ ​dynamic​ ​properties​ ​of​ ​normalized​ ​time-fractional​ derivatives (20250303, 윤재 논문 리비젼 연구비 지원)  Yunjae Nam, Soobin Kwak, Junseok Kim, submitted, Chaos, Solitons and Fractals, 2025.
  18. Surface Reconstruction of Narrow-band Guided Gray-Scott Model (20250312) Jian Wang, Xuejuan Chen, Bowen Geng, Mengyu Luo, Shanshan Ge, Haozhe Wang, Jialin Chen, Junseok Kim , submitted, Computer Aided Geometric Design, 2025.
  19. An​ ​efficient​ ​and​ ​accurate​ ​adaptive​ ​time-stepping​ ​method​ ​for​ ​the​ ​Allen-Cahn​ ​equation (20250313) Hyundong Kim, Juho Ma, Hyunho Shin, Junseok Kim, submitted, JOURNAL​ ​OF​ ​SCIENTIFIC​ ​COMPUTING, 2025.
  20. Turing instability and complex pattern evolution of a Gierer-Meinhardt model (20250317) Canrong Tian, Mengxin Chen, Xue-Zhi Li, Junseok Kim, submitted,  ​​Nonlinear Analysis: Real World Applications, 2025.
  21. ​Isotropic discretization of a mathematical model for dendritic growth without artificial curvature (20250320) Seokjun Ham, Soobin Kwak, Junseok Kim, submitted, Applied​ ​Numerical​ ​Mathematics, 2025.
  22. An​ ​unconditionally​ ​stable​ ​scheme​ ​for​ ​the​ ​Modica–Mortola​ ​equation​ ​with​ ​a​ ​variable​ ​interfacial​ ​parameter (20250320, cfdkim) Seokjun Ham, Junxiang Yang, Youngjin Hwang, Junseok Kim, submitted, Computational​ ​and​ ​Applied​ ​Mathematics, 2025.
  23. Numerical investigation of reverse equity-linked securities (20250321) Yunjae Nam, Jian Wang, Hyundong Kim, Soobin Kwak, Minjoon Bang, Zhengang Li, Junseok Kim, submitted, Journal of Mathematical Economics, 2025.
  24. Unconditionally​ ​maximum​ ​principle​ ​preserving​ ​scheme​ ​for​ ​the​ ​Allen-Cahn​ ​equation​ ​with​ ​a​ ​logarithmic​ ​free​ ​energy (20250322) Junxiang Yang, Sangkwon Kim, Junseok Kim, submitted,  ​​Computers and Mathematics with Applications, 2025.
  25. A​ ​second-order​ ​unconditional​ ​energy​ ​stable​ ​data​ ​assimilation​ ​scheme​ ​for​ ​the​ ​Lifshitz-Petrich​ ​model (20250323) ​Xiaochuan​ ​Hu, Junseok Kim, Yibao Li, submitted,  ​​Journal of Computational and Applied Mathematics, 2025.
  26. Microstructural evolution prediction in the phase field crystal model with VAE-LSTM and ensemble kalman filtering (20250324)  Jiachen Feng, Wenxuan Xie, Zhixian Lv, Qing Xi, Junseok Kim, Yibao Li , submitted, Journal of Computational Physics, 2025.
  27. Numerical investigation of thermo-mechanical-phase interaction in laser melting additive manufacturing process incorporating phase-field framework (20250325) Sijing Lai, Qing Xia, Junseok Kim, Yibao Li, submitted, ​Engineering​ ​with​ ​Computers, 2025.
  28. Reconstructing initial conditions through inverse problems in normalized time-fractional diffusion equations (20250326) Soobin Kwak, Sangkwon Kim, Junseok Kim, submitted, ​Mathematics​ ​and​ ​Computers​ ​in​ ​Simulation, 2025.
  29. Numerical simulation of the multi-quadratic quai-interpolation method for the Allen-Cahn equation preserving extremum principle (20250327)  Jilong He, Junseok Kim, submitted, Computational​ ​and​ ​Applied​ ​Mathematics, 2025.
  30. Reconstructing smooth local volatility surfaces for cryptocurrency options (20250329 윤재 논문 리비젼 연구비 지원) Yunjae Nam, Youngjin Hwang, Junseok Kim, submitted, ​Journal of Computational and Applied Mathematics, 2025.​
  31. A geometric multigrid implementation for solving the three-dimensional Cahn-Hilliard equation (20250330) Youngjin Hwang, Junseok Kim, ​Engineering Fracture Mechanics, 2025.
  32. A normalized variable-order time-fractional diffusion equation (20250331) Junseok Kim, Chaeyoung Lee, submitted, ​Applied​ ​Numerical​ ​Mathematics, 2025.
  33. A novel U-shaped spatial-channel attention neural operator for simulating the coupled Navier-Stokes-Cahn-Hilliard-heat transfer system(20250331) ​Zhixian Lv, Yuhong Li, Qing Xia, Junseok Kim, Yibao Li, submitted, ​Computer Methods in Applied Mechanics and Engineering, 2025.
  34. Changes in Global Trade Centers Under the Impact of COVID-19: Based on a Visual Assessment Method  (20250402) Jian Wang, Haixiao Wang, Shanshan Ge, Junseok Kim, submitted,  ​​Ecological Economics, 2025.
  35. Inpainting and denoising of fingerprint images using a nonlocal partial differential equation with a fidelity term (20250402) Soobin Kwak, Yibao Li, Junseok Kim, submitted, Computational Materials Science, 2025.
  36. Classification of N-component data using the vector-valued Allen–Cahn equations (20250403) Sangkwon Kim, Hyun Geun Lee, Youngjin Hwang, Soobin Kwak, Seokjun Ham, Junseok Kim, submitted, Engineering Applications of Artificial Intelligence, 2025.

 

Applied​ ​Numerical​ ​Mathematics 한 달에 분야 별 최대 5편까지 제출 가능 저널

Mathematics​ ​and​ ​Computers​ ​in​ ​Simulation 2026년부터 논문 제출

Applied Mathematics and Computation 유사도 1% 초과하면 데스크 리젝됨

 

In preparation

2) Implicit conservative Allen-Cahn equation using multigrid method on a cubic surface
3) Implicit Cahn-Hilliard equation using multigrid method on a cubic surface
4) Implicit nonlocal Cahn-Hilliard equation using multigrid method on a cubic surface
5) Two-phase Navier-Stokes-Cahn-Hilliard equation on a cubic surface.
6) CAC NS equation on a cubic surface.
 

Turing instability and complex pattern evolution of a Gierer-Meinhardt model
Mengxin Chen, Xue-Zhi Li, Junseok Kim, Canrong Tian.

 

  1. Fully explicit numerical method for the incompressible Navier-Stokes equation (20240806) Junxiang Yang, Yibao Li, Chaeyoung Lee, Yongho Choi, Hyundong Kim, Junseok Kim, submitted, Computers and Mathematics with Applications, 2025.
  2. A practical algorithm for image inpainting based on a predator-prey model (20240727) Jian Wang, Mengyu Luo, Junseok Kim, submitted, Pattern Recognition, 2025.
  3. Numerical simulation of a normalized time-fractional SUC epidemic model (20241218) Chaeyoung Lee, Jyoti -, Soobin Kwak, Yunjae Nam, Hyundong Kim, Junseok Kim, submitted, AIP Advances, 2025.
  4. A direct and simple metric for evaluating researchers’ impact on the global scholarly  communities (20241127) Jian Wang, Menghao Huang, Youngjin Hwang, Seungyoon Kang, Junseok Kim, submitted, Advances​ ​in​ ​Complex​ ​Systems, 2025.
  5. Data-driven approach to reduced-order modeling of hydrogen-fueled supersonic combustion (20250228) Zhixian Lv, Jiachen Feng, Qing Xia, Jiahao Huang, Xing Sun, Junseok Kim, Yibao Li, submitted, Computer Methods in Applied Mechanics and Engineering, 2025.
  6. Traveling​ ​wave​ ​solutions​ ​for​ ​a​ ​normalized​ ​time-fractional​ ​predator-prey​ ​model (20250317) Seokjun​ ​Ham, ​Soobin​ ​Kwak,​ ​Ana​ ​Yun,​ ​Jyoti​ ​-,​ ​Yunjae​ ​Nam,​ ​Junseok​ ​Kim, submitted,  ​​Mathematics​ ​and​ ​Computers​ ​in​ ​Simulation, 2025.
  7. A normalized Caputo-Fabrizio fractional diffusion equation with decreasing weighting functions (20250324)  Binhu Xia, Fatao Chen, Kun Wang, Yunjae Nam, Junseok Kim, submitted, Applied Mathematical Modelling, 2025.
  8. Non-isothermal hydrodynamic modeling and analysis for the flow boiling in microchannels based heat exchanger (20250326) Jingjie Cheng, Qing Xia, Junseok Kim, Yibao Li, submitted, ​Applied​ ​Numerical​ ​Mathematics, 2025.

 

  1. Numerical studies for the phase-field crystal equation with a logarithmic free energy
  2. Fast and simple short-time epidemic prediction algorithm for 2019 novel coronavirus (COVID-19) in China

 

Mathematics in Engineering

Please find attached the PDF file with responses to the reviewer’ comments.

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 한국연구재단에서 부여한 과제 관리번호). ※ MSIT: Ministry of Science and ICT

This work was supported by the National Research Foundation(NRF), Korea, under project BK21 FOUR.

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