Publications

1. Algorithm for a cost-reducing time-integration scheme for solving incompressible Navier-Stokes equations. Philsu Kim, Soyoon Bak, Computer Methods in Applied Mechanics and Engineering 373 (2021), 113546, 20 pp.

2. Comment on: ``The modified extended tanh-function method for solving Burgers-type equations`` [Physica A 361 (2006) 394-404]. Xiangfan Piao, Philsu Kim, Physica A: Statistical Mechanics and its Applications 569 (2021), 125771, 7 pp.

3. Numerical study on rheology of two-dimensional dry foam. Dokyum Kim, Yunchang Seol, Yongsam Kim, Physics of Fluids 33(5) (2021), 052111, 19 pp.

4. Singular value decomposition of the attenuated conical Radon transform with a fixed central axis and opening angle. Gihyeon Jeon, Sunghwan Moon, Integral Transforms and Special Functions 32(10) (2021), 812-822.

5. A stable and accurate immersed boundary method for simulating vesicle dynamics via spherical harmonics. Ming-Chih Lai, Yunchang Seol, Journal of Computational Physics 449 (2022), 110785, 21 pp.

6. An energy stable finite difference method for anisotropic surface diffusion on closed curves. Ming-Chih Lai, Sangbeom Park, Yunchang Seol, Applied Mathematics Letters 127 (2022), 107848, 12 pp.

7. Development of a parallel CUDA algorithm for solving 3D guiding center problems. Soyoon Bak, Philsu Kim, Sangbeom Park, Computer Physics Communications 276 (2022), 108331, 15 pp.

8. Infinitely many segregated vector solutions of Schrodinger system. Ohsang Kwon, Min-Gi Lee, Youngae Lee, Journal of Mathematical Analysis and Applications 512(2) (2022), 126094, 15 pp.

9. An economical robust algorithm for solving 1D coupled Burgers` equations in a semi-Lagrangian framework. Sangbeom Park, Philsu Kim, Yonghyeon Jeon, Soyoon Bak, Applied Mathematics and Computation 428 (2022), 127185, 20pp.

10. Thomas algorithms for systems of fourth-order finite difference methods. Soyoon Bak, Philsu Kim, Sangbeom Park, Journal of the Korean Mathematical Society 59(5) (2022), 891-909.

11. Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients. Jehan Oh, Jihoon Ok, Mathematical Methods in the Applied Sciences, 45(14) (2022), 8718-8736.

12. On W^{2,p}-estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions. Sun-Sig Byun, Jeongmin Han, Jehan Oh, Calculus of Variations and Partial Differential Equations 61(5) (2022), 162, 15 pp.

13. Exponential decay for quasilinear parabolic equations in any dimension. Jian-Wen Sun, Seonghak Kim, Discrete and Continuous Dynamical Systems-Series B 27(10), 5411-5418.

14. Reconstruction of the initial function from the solution of the fractional wave equation measured in two geometric settings. Hyungyeong Jung, Sunghwan Moon, Electronic Research Archive 30(12) (2022), 4436-4446.

15. An immersed boundary projection method for solving the fluid-rigid body interaction problems. Kian Chuan Ong, Yunchang Seol, Ming-Chih Lai, Journal of Computational Physics 466 (2022), 111367, 17 pp.

16. A high-order convergence analysis for semi-Lagrangian scheme of the Burgers’ equation. Philsu Kim, Seongook Heo, Dojin Kim, AIMS Mathematics 8(5) (2023), 11270-11296.

17. Solutions of Schrodinger equations with symmetry in orientation preserving tetrahedral group. Ohsang Kwon, Min-Gi Lee, Journal of Differential Equations 361 (2023), 531-561.

18. Fine phase mixtures in one-dimensional non-convex elastodynamics. Hyung Jun Choi, Seonghak Kim, Journal of Differential Equations 363 (2023), 195-242.

19. Existence and nonexistence of traveling waves of coupled Burgers’ equations. Chanwoo Jeong, Philsu Kim, Min-Gi Lee, Communications in Nonlinear Science and Numerical Simulation 125 (2023), 107385, 20 pp.

20. A semi-implicit semi-Lagrangian method for simulating immersed boundary motion under high inertia and elasticity. Sangbeom Park, Soyoon Bak, Philsu Kim, Yunchang Seol, Applied Mathematics and Computation 456 (2023), 128269, 24 pp.