A Trigonometric Quadrature Rule for Cauchy Integrals with Jacobi Weight. - Philsu Kim (J. Approx. Theory, 2001)

A Chebyshev Quadrature Rule for One Sided Finite Part Integrals. - Philsu Kim (J. Approx. Theory, 2001)

A New Sigmoidal Transformation for Weakly Singular Integrals in the Boundary Element Method. - Beong In Yun; Philsu Kim (SIAM J. Sci. Comput., 2003)

Permanence and stability of an Ivlev-type predator-prey system with impulsive control strategies. - Hun Ki Baek; Sang Dong Kim; Philsu Kim (Math. Comput. Model., 2009)

A new finite difference representation for Poisson's equation on R3 from a contour integral. - Anour F. A. Dafa-Alla; Kyung-Won Hwang; Soyoung Ahn; Philsu Kim (Appl. Math. Comput., 2010)

Local boundary element based a new finite difference representation for Poisson equations. - Sang Dong Kim; Soyoung Ahn; Philsu Kim (Appl. Math. Comput., 2011)

Alon-Babai-Suzuki's inequalities, Frankl-Wilson type theorem and multilinear polynomials. - Gyoyong Sohn; Cheon Seoung Ryoo; Philsu Kim; Kyung-Won Hwang; Jinsoo Hwang (Appl. Math. Lett., 2011)

An Error Corrected Euler Method for Solving Stiff Problems Based on Chebyshev Collocation. - Philsu Kim; Xiangfan Piao 001; Sang Dong Kim (SIAM J. Numer. Anal., 2011)

Finite Element Preconditioning on Spectral Element Discretizations for Coupled Elliptic Equations. - Jongkyum Kwon; Soorok Ryu; Philsu Kim; Sang Dong Kim (J. Appl. Math., 2012)

Convergence on error correction methods for solving initial value problems. - Sang Dong Kim; Xiangfan Piao 001; Do Hyung Kim 001; Philsu Kim (J. Comput. Appl. Math., 2012)

Development of semi-Lagrangian gyrokinetic code for full-f turbulence simulation in general tokamak geometry. - Jae-Min Kwon; Dokkyun Yi; Xiangfan Piao 001; Philsu Kim (J. Comput. Phys., 2015)

An iteration free backward semi-Lagrangian scheme for solving incompressible Navier-Stokes equations. - Xiangfan Piao 001; Sunyoung Bu; Soyoon Bak; Philsu Kim (J. Comput. Phys., 2015)

An Iteration Free Backward Semi-Lagrangian Scheme for Guiding Center Problems. - Xiangfan Piao 001; Sang Dong Kim; Philsu Kim; Jae-Min Kwon; Dokkyun Yi (SIAM J. Numer. Anal., 2015)

An error embedded method based on generalized Chebyshev polynomials. - Philsu Kim; Junghan Kim; WonKyu Jung; Sunyoung Bu (J. Comput. Phys., 2016)

An embedded formula of the Chebyshev collocation method for stiff problems. - Xiangfan Piao 001; Sunyoung Bu; Dojin Kim; Philsu Kim (J. Comput. Phys., 2017)

One-step L(α)-stable temporal integration for the backward semi-Lagrangian scheme and its application in guiding center problems. - Xiangfan Piao 001; Philsu Kim; Dojin Kim (J. Comput. Phys., 2018)

A semi-Lagrangian approach for numerical simulation of coupled Burgers' equations. - Soyoon Bak; Philsu Kim; Dojin Kim (Commun. Nonlinear Sci. Numer. Simul., 2019)

Convergence and stability of a BSLM for advection-diffusion models with Dirichlet boundary conditions. - Philsu Kim; Dojin Kim (Appl. Math. Comput., 2020)

A completely explicit scheme of Cauchy problem in BSLM for solving the Navier-Stokes equations. - Philsu Kim; Dojin Kim; Xiangfan Piao 001; Soyoon Bak (J. Comput. Phys., 2020)

An efficient trajectory tracking algorithm for the backward semi-Lagrangian method of solving the guiding center problems. - Xiangfan Piao 001; Philsu Kim (J. Comput. Phys., 2020)

An economical robust algorithm for solving 1D coupled Burgers' equations in a semi-Lagrangian framework. - Sangbeom Park 001; Philsu Kim; Yonghyeon Jeon; Soyoon Bak (Appl. Math. Comput., 2022)

Development of a parallel CUDA algorithm for solving 3D guiding center problems. - Soyoon Bak; Philsu Kim; Sangbeom Park 001 (Comput. Phys. Commun., 2022)

Existence and nonexistence of traveling waves of coupled Burgers' equations. - Chanwoo Jeong; Philsu Kim; Min-Gi Lee (Commun. Nonlinear Sci. Numer. Simul., 2023)

A semi-implicit semi-Lagrangian method for simulating immersed boundary motion under high inertia and elasticity. - Sangbeom Park 001; Soyoon Bak; Philsu Kim; Yunchang Seol (Appl. Math. Comput., 2023)

An error predict-correction formula of the load vector in the BSLM for solving three-dimensional Burgers' equations. - Sangbeom Park 001; Yonghyeon Jeon; Philsu Kim; Soyoon Bak (Math. Comput. Simul., 2024)

An asymptotic approximation of the solution for nearly tridiagonal quasi-Toeplitz linear systems. - Philsu Kim; Sangbeom Park; Seonghak Kim; Soyoon Bak (Math. Comput. Simul., 2025)