(*: Correspondence)

Published Papers

  1. H.G. Lee, J. Park, S. Yoon, C. Lee, J. Kim*, Mathematical model and numerical simulation for tissue growth on bioscaffolds, Applied Sciences 9(19), 4058 (2019).
  2. C. Lee, D. Jeong, S. Yoon, J. Kim*, Porous three-dimensional scaffold generation for 3D printing, Mathematics 8(6), 946 (2020).
  3. H. Kim, S. Yoon, J. Wang, C. Lee, S. Kim, J. Park, J. Kim*, Shape transformation using the modified Allen–Cahn equation, Applied Mathematics Letters 107, 106487 (2020).
  4. C. Lee, S. Yoon, J. Park, J. Kim*, An explicit hybrid method for the nonlocal Allen–Cahn equation, Symmetry 12(8), 1218 (2020).
  5. S. Yoon, D. Jeong, C. Lee, H. Kim, S. Kim, H.G. Lee, J. Kim*, Fourier-spectral method for the phase-field equations, Mathematics 8(8), 1385 (2020).
  6. S. Yoon, C. Lee, J. Park, D. Jeong, J. Kim*, Uniformly distributed circular porous pattern generation on surface for 3D printing, Numerical Mathematics: Theory, Methods and Applications 13(4), 845–862 (2020).
  7. H. Kim, A. Yun, S. Yoon, C. Lee, J. Park, J. Kim*, Pattern formation in reaction-diffusion systems on evolving surfaces, Computers & Mathematics with Applications 80(9), 2019–2028 (2020).
  8. J. Park, S. Yoon, C. Lee, J. Kim*, A simple method for network visualization, Mathematics 8(6), 1020 (2020).
  9. S. Yoon, J. Park, J. Wang, C. Lee, J. Kim*, Numerical simulations of dendritic pattern formation in an isotropic crystal growth model on curved surfaces, Symmetry 12(7), 1155 (2020).
  10. J. Yang, H. Kim, C. Lee, S. Kim, J. Wang, S. Yoon, J. Park, J. Kim*, Phase-field modeling and computer simulation of the coffee-ring effect, Theoretical and Computational Fluid Dynamics 34, 679–692 (2020).
  11. C. Lee, H. Kim, S. Yoon, J. Park, S. Kim, J. Yang, J. Kim*, On the evolutionary dynamics of the Cahn–Hilliard equation with cut-off mass source, Numerical Mathematics: Theory, Methods and Applications 14(1), 242–260 (2021).
  12. C. Lee, H. Kim, S. Yoon, S. Kim, D. Lee, J. Park, S. Kwak, J. Yang, J. Wang, J. Kim*, An unconditionally stable scheme for the Allen–Cahn equation with high-order polynomial free energy, Communications in Nonlinear Science and Numerical Simulation 95, 105658 (2021).
  13. J. Lyu, E. Park, S. Kim, W. Lee, C. Lee, S. Yoon, J. Park, J. Kim*, Optimal non-uniform finite difference grids for the Black–Scholes equations, Mathematics and Computers in Simulation 182, 690–704 (2021).
  14. J. Wang, C. Lee, H.G. Lee, Q. Zhang, J. Yang, J. Park, S. Yoon, J. Kim*, Phase-field modeling and numerical simulation for ice melting, Numerical Mathematics: Theory, Methods and Applications 14(2), 540–558 (2021).
  15. Y. Li, C. Lee, J. Wang, S. Yoon, J. Park, J. Kim*, A simple benchmark problem for the numerical methods of the Cahn–Hilliard equation, Discrete Dynamics in Nature and Society, 8889603 (2021).
  16. S. Kim, C. Lee, J. Park, S. Yoon, Y. Choi, J. Kim*, A simple visualization method for three-dimensional (3D) network, Discrete Dynamics in Nature and Society, 1426212 (2021).
  17. S. Yoon, J. Wang, C. Lee, J. Yang, J. Park, H. Kim, J. Kim*, Numerical investigation to the effect of initial guess for phase-field models, East Asian Journal on Applied Mathematics 11(3), 618–646 (2021).
  18. Y. Li, Q. Xia, S. Yoon, C. Lee, B. Lu, J. Kim*, A simple and efficient volume merging method for triply periodic minimal structure, Computer Physics Communications 264, 107956 (2021).
  19. Y. Li, S. Yoon, J. Wang, J. Park, S. Kim, C. Lee, H. Kim, J. Kim*, Fast and efficient numerical method for multiphase image segmentation, Mathematical Problems in Engineering, 2414209 (2021).
  20. S. Yoon, H.G. Lee, Y. Li, C. Lee, J. Park, S. Kim, H. Kim, and J. Kim, Benchmark problems for the numerical discretization of the Cahn–Hilliard equation with a source term, Discrete Dynamics in Nature and Society, 1290895 (2021).
  21. H. Kim, J. Yang, S. Kim, C. Lee, S. Yoon, S. Kwak, J. Kim*, Numerical simulation of the coffee-ring effect inside containers with time-dependent evaporation rate, Theoretical and Computational Fluid Dynamics 36, 423–433 (2022).
  22. H. Kim, C. Lee, S. Yoon, Y. Choi, J. Kim*, A fast shape transformation using a phase-field model, Extreme Mechanics Letters 52, 101633 (2022). (MSIT-2019R1A6A1A11051177)
  23. S. Lee, S. Yoon, C. Lee, S. Kim, H. Kim, J. Yang, S. Kwak, Y. Hwang, J. Kim*, Effective time step analysis for the Allen–Cahn equation with a high-order polynomial free energy, International Journal for Numerical Methods in Engineering 123(19), 4726–4743 (2022). (MSIT-2019R1A6A1A11051177)
  24. C. Lee, S. Yoon, J. Park, H. Kim, Y. Li, D. Jeong, S. Kim, S. Kwak, J. Kim*, Phase-field computations of anisotropic ice crystal growth on a spherical surface, Computers and Mathematics with Applications 125, 25–33 (2022). (MSIT-2019R1A6A1A11051177)
  25. S. Lee, S. Yoon, J. Kim*, Effective time step analysis of convex splitting schemes for the Swift–Hohenberg equation, Journal of Computational and Applied Mathematics 419, 114713 (2023). (MSIT-2019R1A6A1A11051177 & ME-2022R1I1A1A01073661)
  26. S. Yoon, J. Park, C. Lee, S. Kim, Y. Choi, S. Kwak, H. Kim, J. Kim*, Optimal orientation of solar panels for multi-apartment buildings, Mathematics 11(4), 938 (2023). (MSIT-2019R1A6A1A11051177)
  27. S. Lee, S. Yoon, J. Kim*, A linear convex splitting scheme for the Cahn–Hilliard equation with a high-order polynomial free energy, International Journal for Numerical Methods in Engineering 124(17), 3586–3602 (2023). (MSIT-2019R1A6A1A11051177 & ME-2022R1I1A1A01073661)

Submitted Papers

  1. H. Kim, S. Kang, G. Lee, S. Yoon, J. Kim*, Shape transformation on curved surfaces using a phase-field model, Communications in Nonlinear Science and Numerical Simulation, in revision.
  2. S. Yoon, C. Lee, S. Kwak, S. Kang, J. Kim*, Fast numerical algorithm for the reaction-diffusion equations using an interpolating method, Computational and Applied Mathematics, revision submitted.