Permanence and stability of an Ivlev-type predator-prey system with impulsive control strategies. Zbl 1185.34067
Baek, Hun Ki; Kim, Sang Dong; Kim, Philsu |
|
2009
|
An error corrected Euler method for solving stiff problems based on Chebyshev collocation. Zbl 1273.65095
Kim, Philsu; Piao, Xiangfan; Kim, Sang Dong |
|
2011
|
Preconditioning Chebyshev spectral collocation by finite-difference operators. Zbl 0874.65088
Kim, Sang Dong; Parter, Seymour V. |
|
1997
|
A remark on least-squares mixed element methods for reaction-diffusion problems. Zbl 1115.65119
Rui, Hongxing; Kim, Seokchan; Kim, Sang Dong |
|
2007
|
Split least-squares finite element methods for linear and nonlinear parabolic problems. Zbl 1168.65053
Rui, Hongxing; Kim, Sang Dong; Kim, Seokchan |
|
2009
|
A finite element method using singular functions for Poisson equations: Mixed boundary conditions. Zbl 1124.65108
Cai, Zhiqiang; Kim, Seokchan; Kim, Sangdong; Kong, Sooryun |
|
2006
|
Preconditioning Chebyshev spectral collocation method for elliptic partial differential equations. Zbl 0861.65095
Kim, Sang Dong; Parter, Seymour V. |
|
1996
|
An iteration free backward semi-Lagrangian scheme for guiding center problems. Zbl 1318.65054
Piao, Xiangfan; Kim, SangDong; Kim, Philsu; Kwon, Jae-Min; Yi, Dokkyun |
|
2015
|
Newton’s algorithm for magnetohydrodynamic equations with the initial guess from Stokes-like problem. Zbl 1457.76128
Kim, Sang Dong; Lee, Eunjung; Choi, Wonjoon |
|
2017
|
Convergence on error correction methods for solving initial value problems. Zbl 1248.65073
Kim, Sang Dong; Piao, Xiangfan; Kim, Do Hyung; Kim, Philsu |
|
2012
|
Least-squares spectral collocation method for the Stokes equations. Zbl 1040.65098
Kim, Sang Dong; Lee, Hyung-Chun; Shin, Byeong Chun |
|
2004
|
Preconditioning cubic spline collocation discretizations of elliptic equations. Zbl 0844.65086
Kim, Sang Dong; Parter, Seymour V. |
|
1995
|
\(H^{-1}\) least-squares method for the velocity-pressure-stress formulation of Stokes equations. Zbl 1015.76040
Kim, Sang Dong; Shin, Byeong Chun |
|
2002
|
Pseudospectral least-squares method for the second-order elliptic boundary value problem. Zbl 1051.65114
Kim, Sang Dong; Lee, Hyung-Chun; Shin, Byeong Chun |
|
2003
|
Preconditioned spectral collocation method on curved element domains using the Gordon-Hall transformation. Zbl 1291.65351
Kim, Sang Dong; Hessari, Peyman; Shin, Byeong-Chun |
|
2014
|
Piecewise bilinear preconditioning of high-order finite element method. Zbl 1171.65445
Kim, Sang Dong |
|
2007
|
Stability of fixed points placed on the border in the piecewise linear systems. Zbl 1146.37303
Do, Younghae; Kim, Sang Dong; Kim, Phil Su |
|
2008
|
Numerical solution for elliptic interface problems using spectral element collocation method. Zbl 1474.65458
Hessari, Peyman; Kim, Sang Dong; Shin, Byeong-Chun |
|
2014
|
First-order system least squares for the Oseen equations. Zbl 1198.76024
Kim, Sang Dong; Lee, Chang-Ock; Manteuffel, Thomas A.; McCormick, Stephen F.; Röhrle, Oliver |
|
2006
|
Newton’s method for the Navier-Stokes equations with finite element initial guess of Stokes equations. Zbl 1135.76033
Kim, Sang Dong; Lee, Yong Hun; Shin, Byeong Chun |
|
2006
|
Uzawa algorithms for coupled Stokes equations from the optimal control problem. Zbl 1197.65069
Kim, Sang Dong |
|
2009
|
Simple ECEM algorithms using function values only. Zbl 1292.65078
Kim, Philsu; Kim, Sang Dong; Lee, Eunjung |
|
2013
|
First-order system least squares (FOSLS) for spatial linear elasticity: Pure traction. Zbl 0990.74068
Kim, Sang Dong; Manteuffel, Thomas A.; McCormick, Stephen F. |
|
2000
|
First-order system least-squares methods for an optimal control problem by the Stokes flow. Zbl 1404.49019
Ryu, Soorok; Lee, Hyung-Chun; Kim, Sang Dong |
|
2009
|
Local boundary element based a new finite difference representation for Poisson equations. Zbl 1215.65165
Kim, Sangdong; Ahn, Soyoung; Kim, Philsu |
|
2011
|
A Chebyshev collocation method for stiff initial value problems and its stability. Zbl 1298.65115
Kim, Sangdong; Kwon, Jongkyum; Piao, Xiangfan; Kim, Philsu |
|
2011
|
A fast singly diagonally implicit Runge-Kutta method for solving 1D unsteady convection-diffusion equations. Zbl 1301.65101
Piao, Xiangfan; Choi, Hyun-Jung; Kim, Sang Dong; Kim, Philsu |
|
2014
|
Chebyshev weighted norm least-squares spectral methods for the elliptic problem. Zbl 1103.65120
Kim, Sang Dong; Shin, Byeong Chun |
|
2006
|
Analysis of \(H^{-1},L^{2},L^{2}\) first-order system least squares for the incompressible Oseen type equations. Zbl 1107.76045
Kim, Sang Dong; Lee, Yong Hun; Yang, Suh-Yuh |
|
2005
|
Finite difference preconditioning cubic spline collocation method of elliptic equations. Zbl 0879.65072
Kim, Hong Oh; Kim, Sang Dong; Lee, Yong Hun |
|
1997
|
Convergence of the Newton’s method for an optimal control problems for Navier-Stokes equations. Zbl 1414.49039
Choi, Youngmi; Kim, Sangdong; Lee, Hyung-Chun |
|
2011
|
Error estimate and regularity for the compressible Navier-Stokes equations by Newton’s method. Zbl 1038.76023
Kim, Sang Dong; Lee, Yong Hun |
|
2003
|
Numerical verification of solutions for some unilateral boundary value problems. Zbl 1035.65064
Ryoo, Cheon Seoung; Song, Howan; Kim, Sang Dong |
|
2002
|
Finite element preconditioning on spectral element discretizations for coupled elliptic equations. Zbl 1235.65120
Kwon, JongKyum; Ryu, Soorok; Kim, Philsu; Kim, Sang Dong |
|
2012
|
Semicirculant preconditioning of elliptic operators. Zbl 1049.65113
Kim, Sang Dong; Parter, Seymour V. |
|
2003
|
Analysis and computations of least-squares method for optimal control problems for the Stokes equations. Zbl 1178.65068
Choi, Youngmi; Kim, Sang Dong; Lee, Hyung-Chun |
|
2009
|
Exponentially fitted error correction methods for solving initial value problems. Zbl 1286.65086
Kim, Sangdong; Kim, Phil-Su |
|
2012
|
Optimized Schwarz preconditioning for SEM based magnetohydrodynamics. Zbl 1284.76413
St-Cyr, Amik; Rosenberg, Duane; Kim, Sang Dong |
|
2009
|
Analysis and computation of least-squares methods for a compressible Stokes problem. Zbl 1097.76046
Bochev, Pavel; Kim, Sang Dong; Shin, Byeong-Chun |
|
2006
|
Preconditioning collocation method using quadratic splines with applications to \(2^{\text{nd}}\)-order separable elliptic equations. Zbl 0857.65122
Kim, Sang Dong |
|
1996
|
An analysis for the compressible Stokes equations by first-order system of least-squares finite element method. Zbl 0997.76045
Kim, Sang Dong; Lee, Eunjung |
|
2001
|
Preconditioning cubic spline collocation discretization by \(P_1\) finite element method on an irregular mesh. Zbl 0991.65121
Kim, Sang Dong |
|
1996
|
Convergence analysis for a second-order elliptic equation by a collocation method using scattered points. Zbl 1081.65101
Kim, Changho; Kim, Sangdong; Lee, Yong Hun; Yoon, Jungho |
|
2006
|
Estimating convergence factors of Schwarz algorithms for orthogonal spline collocation method. Zbl 0935.65124
Kim, Sangdong; Kim, Seokchan |
|
1999
|
Exponential decay of \(C^ 1\)-cubic splines vanishing at two symmetric points in each knot interval. Zbl 0879.65071
Kim, Sang Dong; Kim, Seokchan |
|
1997
|
Preconditioning on high-order element methods using Chebyshev-Gauss-Lobatto nodes. Zbl 1161.65038
Kim, Seonhee; Kim, Sang Dong |
|
2009
|
First-order system least-squares methods for a flux control problem by the Stokes flow. Zbl 1364.76051
Ryu, Soorok; Kim, Sang Dong; Lee, Hyung-Chun |
|
2010
|
Note on a classical conservative method for scalar hyperbolic equations. Zbl 1372.65234
Lee, Yong Hun; Kim, Sang Dong |
|
2016
|
A new time stepping method for solving one dimensional Burgers’ equations. Zbl 1286.65134
Piao, Xiang Fan; Kim, Sang Dong; Kim, Philsu; Kim, Do-Hyung |
|
2012
|
Block \(LU\) factorization for the coupled Stokes equations by spectral element discretization. Zbl 1285.49021
Piao, Xiangfan; Kim, Philsu; Kim, Sang Dong |
|
2012
|
A multigrid method for an optimal control problem of a diffusion-convection equation. Zbl 1179.49027
Baek, Hunki; Kim, Sang Dong; Lee, Hyung-Chun |
|
2010
|
Newton’s algorithm for magnetohydrodynamic equations with the initial guess from Stokes-like problem. Zbl 1457.76128
Kim, Sang Dong; Lee, Eunjung; Choi, Wonjoon |
|
2017
|
Note on a classical conservative method for scalar hyperbolic equations. Zbl 1372.65234
Lee, Yong Hun; Kim, Sang Dong |
|
2016
|
An iteration free backward semi-Lagrangian scheme for guiding center problems. Zbl 1318.65054
Piao, Xiangfan; Kim, SangDong; Kim, Philsu; Kwon, Jae-Min; Yi, Dokkyun |
|
2015
|
Preconditioned spectral collocation method on curved element domains using the Gordon-Hall transformation. Zbl 1291.65351
Kim, Sang Dong; Hessari, Peyman; Shin, Byeong-Chun |
|
2014
|
Numerical solution for elliptic interface problems using spectral element collocation method. Zbl 1474.65458
Hessari, Peyman; Kim, Sang Dong; Shin, Byeong-Chun |
|
2014
|
A fast singly diagonally implicit Runge-Kutta method for solving 1D unsteady convection-diffusion equations. Zbl 1301.65101
Piao, Xiangfan; Choi, Hyun-Jung; Kim, Sang Dong; Kim, Philsu |
|
2014
|
Simple ECEM algorithms using function values only. Zbl 1292.65078
Kim, Philsu; Kim, Sang Dong; Lee, Eunjung |
|
2013
|
Convergence on error correction methods for solving initial value problems. Zbl 1248.65073
Kim, Sang Dong; Piao, Xiangfan; Kim, Do Hyung; Kim, Philsu |
|
2012
|
Finite element preconditioning on spectral element discretizations for coupled elliptic equations. Zbl 1235.65120
Kwon, JongKyum; Ryu, Soorok; Kim, Philsu; Kim, Sang Dong |
|
2012
|
Exponentially fitted error correction methods for solving initial value problems. Zbl 1286.65086
Kim, Sangdong; Kim, Phil-Su |
|
2012
|
A new time stepping method for solving one dimensional Burgers’ equations. Zbl 1286.65134
Piao, Xiang Fan; Kim, Sang Dong; Kim, Philsu; Kim, Do-Hyung |
|
2012
|
Block \(LU\) factorization for the coupled Stokes equations by spectral element discretization. Zbl 1285.49021
Piao, Xiangfan; Kim, Philsu; Kim, Sang Dong |
|
2012
|
An error corrected Euler method for solving stiff problems based on Chebyshev collocation. Zbl 1273.65095
Kim, Philsu; Piao, Xiangfan; Kim, Sang Dong |
|
2011
|
Local boundary element based a new finite difference representation for Poisson equations. Zbl 1215.65165
Kim, Sangdong; Ahn, Soyoung; Kim, Philsu |
|
2011
|
A Chebyshev collocation method for stiff initial value problems and its stability. Zbl 1298.65115
Kim, Sangdong; Kwon, Jongkyum; Piao, Xiangfan; Kim, Philsu |
|
2011
|
Convergence of the Newton’s method for an optimal control problems for Navier-Stokes equations. Zbl 1414.49039
Choi, Youngmi; Kim, Sangdong; Lee, Hyung-Chun |
|
2011
|
First-order system least-squares methods for a flux control problem by the Stokes flow. Zbl 1364.76051
Ryu, Soorok; Kim, Sang Dong; Lee, Hyung-Chun |
|
2010
|
A multigrid method for an optimal control problem of a diffusion-convection equation. Zbl 1179.49027
Baek, Hunki; Kim, Sang Dong; Lee, Hyung-Chun |
|
2010
|
Permanence and stability of an Ivlev-type predator-prey system with impulsive control strategies. Zbl 1185.34067
Baek, Hun Ki; Kim, Sang Dong; Kim, Philsu |
|
2009
|
Split least-squares finite element methods for linear and nonlinear parabolic problems. Zbl 1168.65053
Rui, Hongxing; Kim, Sang Dong; Kim, Seokchan |
|
2009
|
Uzawa algorithms for coupled Stokes equations from the optimal control problem. Zbl 1197.65069
Kim, Sang Dong |
|
2009
|
First-order system least-squares methods for an optimal control problem by the Stokes flow. Zbl 1404.49019
Ryu, Soorok; Lee, Hyung-Chun; Kim, Sang Dong |
|
2009
|
Analysis and computations of least-squares method for optimal control problems for the Stokes equations. Zbl 1178.65068
Choi, Youngmi; Kim, Sang Dong; Lee, Hyung-Chun |
|
2009
|
Optimized Schwarz preconditioning for SEM based magnetohydrodynamics. Zbl 1284.76413
St-Cyr, Amik; Rosenberg, Duane; Kim, Sang Dong |
|
2009
|
Preconditioning on high-order element methods using Chebyshev-Gauss-Lobatto nodes. Zbl 1161.65038
Kim, Seonhee; Kim, Sang Dong |
|
2009
|
Stability of fixed points placed on the border in the piecewise linear systems. Zbl 1146.37303
Do, Younghae; Kim, Sang Dong; Kim, Phil Su |
|
2008
|
A remark on least-squares mixed element methods for reaction-diffusion problems. Zbl 1115.65119
Rui, Hongxing; Kim, Seokchan; Kim, Sang Dong |
|
2007
|
Piecewise bilinear preconditioning of high-order finite element method. Zbl 1171.65445
Kim, Sang Dong |
|
2007
|
A finite element method using singular functions for Poisson equations: Mixed boundary conditions. Zbl 1124.65108
Cai, Zhiqiang; Kim, Seokchan; Kim, Sangdong; Kong, Sooryun |
|
2006
|
First-order system least squares for the Oseen equations. Zbl 1198.76024
Kim, Sang Dong; Lee, Chang-Ock; Manteuffel, Thomas A.; McCormick, Stephen F.; Röhrle, Oliver |
|
2006
|
Newton’s method for the Navier-Stokes equations with finite element initial guess of Stokes equations. Zbl 1135.76033
Kim, Sang Dong; Lee, Yong Hun; Shin, Byeong Chun |
|
2006
|
Chebyshev weighted norm least-squares spectral methods for the elliptic problem. Zbl 1103.65120
Kim, Sang Dong; Shin, Byeong Chun |
|
2006
|
Analysis and computation of least-squares methods for a compressible Stokes problem. Zbl 1097.76046
Bochev, Pavel; Kim, Sang Dong; Shin, Byeong-Chun |
|
2006
|
Convergence analysis for a second-order elliptic equation by a collocation method using scattered points. Zbl 1081.65101
Kim, Changho; Kim, Sangdong; Lee, Yong Hun; Yoon, Jungho |
|
2006
|
Analysis of \(H^{-1},L^{2},L^{2}\) first-order system least squares for the incompressible Oseen type equations. Zbl 1107.76045
Kim, Sang Dong; Lee, Yong Hun; Yang, Suh-Yuh |
|
2005
|
Least-squares spectral collocation method for the Stokes equations. Zbl 1040.65098
Kim, Sang Dong; Lee, Hyung-Chun; Shin, Byeong Chun |
|
2004
|
Pseudospectral least-squares method for the second-order elliptic boundary value problem. Zbl 1051.65114
Kim, Sang Dong; Lee, Hyung-Chun; Shin, Byeong Chun |
|
2003
|
Error estimate and regularity for the compressible Navier-Stokes equations by Newton’s method. Zbl 1038.76023
Kim, Sang Dong; Lee, Yong Hun |
|
2003
|
Semicirculant preconditioning of elliptic operators. Zbl 1049.65113
Kim, Sang Dong; Parter, Seymour V. |
|
2003
|
\(H^{-1}\) least-squares method for the velocity-pressure-stress formulation of Stokes equations. Zbl 1015.76040
Kim, Sang Dong; Shin, Byeong Chun |
|
2002
|
Numerical verification of solutions for some unilateral boundary value problems. Zbl 1035.65064
Ryoo, Cheon Seoung; Song, Howan; Kim, Sang Dong |
|
2002
|
An analysis for the compressible Stokes equations by first-order system of least-squares finite element method. Zbl 0997.76045
Kim, Sang Dong; Lee, Eunjung |
|
2001
|
First-order system least squares (FOSLS) for spatial linear elasticity: Pure traction. Zbl 0990.74068
Kim, Sang Dong; Manteuffel, Thomas A.; McCormick, Stephen F. |
|
2000
|
Estimating convergence factors of Schwarz algorithms for orthogonal spline collocation method. Zbl 0935.65124
Kim, Sangdong; Kim, Seokchan |
|
1999
|
Preconditioning Chebyshev spectral collocation by finite-difference operators. Zbl 0874.65088
Kim, Sang Dong; Parter, Seymour V. |
|
1997
|
Finite difference preconditioning cubic spline collocation method of elliptic equations. Zbl 0879.65072
Kim, Hong Oh; Kim, Sang Dong; Lee, Yong Hun |
|
1997
|
Exponential decay of \(C^ 1\)-cubic splines vanishing at two symmetric points in each knot interval. Zbl 0879.65071
Kim, Sang Dong; Kim, Seokchan |
|
1997
|
Preconditioning Chebyshev spectral collocation method for elliptic partial differential equations. Zbl 0861.65095
Kim, Sang Dong; Parter, Seymour V. |
|
1996
|
Preconditioning collocation method using quadratic splines with applications to \(2^{\text{nd}}\)-order separable elliptic equations. Zbl 0857.65122
Kim, Sang Dong |
|
1996
|
Preconditioning cubic spline collocation discretization by \(P_1\) finite element method on an irregular mesh. Zbl 0991.65121
Kim, Sang Dong |
|
1996
|
Preconditioning cubic spline collocation discretizations of elliptic equations. Zbl 0844.65086
Kim, Sang Dong; Parter, Seymour V. |
|
1995
|