Submission

Revision submitted

 

  1. Fast numerical algorithm for the reaction-diffusion equations using an interpolating method (20230628, cfdkim) Sungha Yoon, Chaeyoung Lee, Soobin Kwak, Seungyoon Kang, Junseok Kim, submitted, Computational and Applied Mathematics, 2024.
  2. A modified Allen-Cahn equation with a mesh size-dependent interfacial parameter on a triangular mesh (20240223) Junxiang Yang, Jian Wang, Soobin Kwak, Seokjun Ham, Junseok Kim, submitted, Computer Physics Communications, 2024.
  3. Robust and accurate reconstruction of the time-dependent continuous volatility from option prices  (20240227 cfdkim) Youngjin Hwang, Taehee Lee, Soobin Kwak, Seungyoon Kang, Seokjun Ham, Junseok Kim, submitted, Computational and Applied Mathematics, 2024.
  4. A practically stable explicit numerical method for the ternary Cahn-Hilliard system (20240205) Seokjun Ham, Hyundong Kim, Youngjin Hwang, Junseok Kim, submitted, Applied and Computational Mathematics, 2024. 
  5. An efficient image encryption algorithm based on a time-delay predator-prey model (20240407) Jian Wang, Haixiao Wang, Wenjing Jiang,  Zean Dai, Junseok Kim, Applied Physics B, 2024.
  6. A fourth-order finite difference method for the Allen-Cahn equation (20231101) Seokjun Ham, Seungyoon Kang, Youngjin Hwang, Gyeonggyu Lee, Soobin Kwak, Jyoti, Junseok Kim, submitted,  Journal of Computational and Applied Mathematics, 2024.
  7. Two-Level method for Blind Image Deblurring Problems (20230717) Azhar Iqbal, Shahbaz Ahmad, Junseok Kim, submitted, Applied Mathematics and Computation, 2024.
  8. Numerical algorithms for the phase-field equations using discrete cosine transform (20240507) Youngjin Hwang, Seokjun Ham, Hyun Geun Lee, Hyundong Kim, Junseok Kim, submitted, Mechanics Research Communications, 2024.

 

In revision

 

Submitted

  1. An efficient multi-scale modeling of the filament-based material extrusion in a 3D printing process (20220923) Qing Xia, Gangming Sun, Junseok Kim, Yibao Li, submitted, Communications in Nonlinear Science and Numerical Simulation, 2024.
  2. A convergent fourth-order finite difference scheme for the Black-Scholes equation (20230905) Seungyoon Kang, Soobin Kwak, Gyeonggyu Lee, Yougjin Hwang, Seokjun Ham, Junseok Kim, submitted, Computational Economics, 2024.
  3. A direct and simple metric for evaluating researchers’ impact on the global scholarly  communities (20231030) Jian Wang, Menghao Huang, Youngjin Hwang, Seungyoon Kang, Junseok Kim, submitted, Expert Systems With Applications, 2024.
  4. Efficient second-order accurate scheme for fluid-surfactant systems on curved surfaces with unconditional energy stability (20231214) Bing Jiang, Qing Xia, Junseok Kim, Yibao Li, submitted, Communications in Nonlinear Science and Numerical Simulation, 2024.
  5. A novel phase-field model for three-dimensional shape transformation  (20240124) Seokjun Ham, Hyundong Kim, Youngjin Hwang, Soobin Kwak, Jyoti, Jian Wang, Heming Xu, Wenjing Jiang, Junseok Kim, submitted, Computers and Mathematics with Applications, 2024.
  6. A Fast and Accurate 3D Lung Tumor Segmentation Algorithm (20240215 !?) Jian Wang, Ziwei Han, Junseok Kim, submitted, Pattern Analysis and Applications, 2024. 
  7. 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, 2024.
  8. Analytic and numerical study of the modified three dimensional Fisher-KPP equation  (20240319) Seungyoon Kang, Soobin Kwak, Youngjin Hwang, Junseok Kim, submitted, Journal of Computational and Applied Mathematics, 2024.
  9. Inpainting and denoising of fingerprint images using a nonlocal partial differential equation with a fidelity term (20240322) Soobin Kwak, Yibao Li, Junseok Kim, submitted, Pattern Recognition Letters, 2024.
  10. A novel image inpainting method based on a modified Lengyel-Epstein model (20240401) Jian Wang, Mengyu Luo, Heming Xu, Junseok Kim, submitted, Computer Vision and Image Understanding, 2024.
  11. On the dynamical behaviors of metallic powder during the bed fusion process within the phase field framework (20240406)  Qing Xia, Sijing Lai, Junseok Kim, Yibao Li, submitted, Journal of Computational Physics, 2024.
  12. Phase-field based modeling and simulation for selective laser melting techniques in additive manufacturing (20240408) Sijing Lai, Qing Xia, Junseok Kim, Yibao Li, submitted, Communications in Nonlinear Science and Numerical Simulation, 2024.
  13. Unconditionally maximum principle-preserving linear method for a mass-conserved Allen-Cahn model with local Lagrange multiplier (20240428)  Junxiang Yang, Junseok Kim, submitted, Communications in Nonlinear Science and Numerical Simulation, 2024.
  14. Curvature-dependent area preserving immersed boundary method for binary immiscible fluids (20240429) Haobo Hua, Pu Han, Huan Han, Seunggyu Lee, Hyundong Kim, Junseok Kim, submitted, Journal of Computational Physics, 2024.
  15. A tutorial on MATLAB implementation of the multigrid method for the two-dimensional diffusion equation (202405015) Yongho Choi, Youngjin Hwang, Soobin Kwak, Seokjun Ham, Jyoti, Hyundong Kim, Junseok Kim, submitted, Heat​ ​and​ ​Mass​ ​Transfer, 2024.
  16. A second-order finite difference method for the Black-Scholes model without far-field boundary conditions (20240520) Jian Wang, Xinpei Wu, Youngjin Hwang, Yunjae Nam, Soobin Kwak, Taehui Lee, Junseok Kim, submitted, Journal​ ​of​ ​Futures​ ​Markets, 2024.
  17. Visual assessment of economic vitality of major global economies: has COVID-19 played a role? (20240527) Jian Wang, Haixiao Wang, Shanshan Ge, Junseok Kim, submitted,  ​Journal​ ​of​ ​International​ ​Business​ ​Studies, 2024.
  18. Reconstruction of convexity-preserving local volatility functions (20240528 !?) Sangkwon Kim, Jian Wang, Soobin Kwak, Hyundong Kim, Yunjae Nam, Junseok Kim, submitted, Numerical​ ​Algorithms, 2024.
  19. Stability analysis for maximum principle preserving explicit isotropic schemes of the Allen-Cahn equation (20240531) Jyoti, Seokjun Ham, Soobin Kwak, Youngjin Hwang, Seungyoon Kang, Junseok Kim, submitted, Journal of Computational Mathematics, 2024.
  20. Optimal calibration of the temporally varying volatility function (20240604, ​cfdkim) Jian Wang, Youngjin Hwang, Hyundong Kim, Soobin Kwak, Junseok Kim, submitted, BIT​ ​Numerical​ ​Mathematics, 2024.
  21. Effective​ ​perpendicular​ ​boundary​ ​conditions​ ​in​ ​phase-field​ ​models​ ​using​ ​Dirichlet​ ​boundary​ ​conditions (20240607) Soobin Kwak, Seokjun Ham, Jian Wang, Hyundong Kim, Junseok Kim, submitted, Journal of Mathematical Analysis and Applications, 2024.
  22. Designing team projects for envy-free group collaboration (20240609), Jian Wang, Chaeyoung Lee, Heming Xu, Soobin Kwak, Hyundong​ ​Kim, Junseok Kim, submitted, Journal of Mathematical Psychology, 2024.
  23. A novel binary and ternary data classification system based on the modified Gray-Scott model (20240610) Jian Wang, Shanshan Ge, Heming Xu, Wenjing Jiang, Junseok Kim, submitted, Chaos, Solitons and Fractals, 2024.
  24. Impact of prey-taxis on a harvested intraguild predation predator-prey model (20240610) Mengxin Chen, Canrong Tian, Seokjun Ham, Hyundong Kim, Junseok Kim, submitted, SIADS, 2024.
  25. A practical algorithm for image inpainting based on a predator-prey model (20240613) Jian Wang, Mengyu Luo, and Junseok Kim, submitted, IEEE Transactions on Image Processing, 2024.
  26. 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, 2024.
  27. An efficient and accurate adaptive time-stepping method for the Landau–Lifshitz equation  (20240619) Soobin Kwak, Moumni Mohammed, Seungyoon Kang, Seokjun Ham, Hyundong​ ​Kim, Junseok Kim, submitted, ​Communications​ ​in​ ​Mathematical​ ​Physics, 2024.

 

In preparation

1) Implicit Allen-Cahn equation using multigrid method on a cubic surface
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.
 
  1. Fully explicit numerical method for the incompressible Navier-Stokes equation (20220309) Junxiang Yang, Yibao Li, Chaeyoung Lee, Yongho Choi, Junseok Kim, submitted, East Asian Journal on Applied Mathematics, 2024.
  2. An efficient computational method for simulating incompressible fluid flows on a cubic surface (20240430) Junxiang Yang, Seungyoon Kang, Sangkwon Kim, Youngjin Hwang, Soobin Kwak, Seokjun Ham, Junseok Kim, submitted, European Journal of Mechanics / B Fluids, 2024.
  3. A geometric multigrid implementation for solving the three-dimensional Cahn-Hilliard equation (20240617) Chaeyoung Lee, Youngjin Hwang, Junseok Kim, Journal​ ​of​ ​Dynamics​ ​and​ ​Differential​ ​Equations, 2024.

 

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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