fnctId=profInfo,fnctNo=173
Research interests
- Numerical Methods for PDEs
- High Order Discontinuous Galerkin Method
Research
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Thesis펼치기
- Modeling the effect of screening in the propagation of an epidemic, 1993
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Journal Articles펼치기
- Arbitrary order DG-DGLM method for hyperbolic systems of multi-dimensional conservation laws, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol.97, 100~121, 2021
- P-0 time/space subcell limiting DG-DGLM method for hyperbolic systems of conservation laws, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol.94, 114~135, 2021
- COMPUTATIONAL ASPECTS OF THE MULTISCALE DISCONTINUOUS GALERKIN METHOD FOR CONVECTION-DIFFUSION-REACTION PROBLEMS, ELECTRONIC RESEARCH ARCHIVE, Vol.29,No.2, 1991~2006, 2021
- A high order discontinuous Galerkin method with skeletal multipliers for convection-diffusion-reaction problems, COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, Vol.343, 207~233, 2019
- A high order discontinuous Galerkin method with Lagrange multipliers for second-order elliptic problems, APPLIED NUMERICAL MATHEMATICS, Vol.135, 47~68, 2019
- High order DG-DGLM method for hyperbolic conservation laws, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol.75,No.12, 4458~4489, 2018
- High-order discontinuous Galerkin methods with Lagrange multiplier for hyperbolic systems of conservation laws, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol.73,No.9, 1945~1974, 2017
- Discontinuous-continuous Galerkin methods for population diffusion with finite life span, MATHEMATICAL POPULATION STUDIES, Vol.23, 17~36, 2016
- A discontinuous Galerkin method with Lagrange multiplier for hyperbolic conservation laws with boundary conditions, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol.70, 488~506, 2015
- A multiscale discontinuous Galerkin method for convection-diffusion-reaction problems, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol.68,No.12, 2251~2261, 2014
- Coupling discontinuous Galerkin discretizations using mortar finite elements for advection-diffusion-reaction problems, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol.67, 181~198, 2014
- Efficient numerical methods for the KdV equation, Journal of the Korean Society for Industrial and Applied Mathematics, Vol.15,No.4, 291~306, 2011
- Numerical discretization of a population diffusion equation, Journal of the Korean Society for Industrial and Applied Mathematics, Vol.14,No.3, 189~200, 2010
- Age-time continuous Galerkin methods for a model of population dynamics, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol.223, 659~671, 2009
- DISCONTINUOUS-CONTINUOUS GALERKIN METHODS FOR A STRUCTURED MODEL OF A BIOLOGICAL SYSTEM, SIAM JOURNAL ON SCIENTIFIC COMPUTING, Vol.31, 913~938, 2008
- $hp$-Discontinuous Galerkin methods for the Lotka-McKendrick equation: A numerical study, Communications of the KMS, Vol.22,No.4, 623~640, 2007
- A multiscale mortar mixed finite element method for slightly compressible flows in porous media, Journal of the KMS, Vol.44,No.5, 1103~1119, 2007
- Uniqueness and stability of positive periodic numerical solution of an epidemic model, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B , Vol.7, 365~375, 2007
- Stabilized discontinuous Galerkin methods for scalar linear hyperbolic equations, APPLIED MATHEMATICS AND COMPUTATION, Vol.182, 1623~1628, 2006
- Global dynamics of approximate solutions to an age-structured epidemic model with diffusion, ADVANCES IN COMPUTATIONAL MATHEMATICS, Vol.25, 451~474, 2006
- Long-time stability of numerical solutions to Gurtin-MacCamy equations by method of characteristics, APPLIED MATHEMATICS AND COMPUTATION, Vol.176, 552~562, 2006
- Discontinuous Galerkin methods for a model of population dynamics with unbounded mortality, SIAM JOURNAL ON SCIENTIFIC COMPUTING, Vol.27, 1371~1393, 2006
- Discontinuous Galerkin methods for the Lotka-McKendrick equation with finite life-span, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, Vol.16, 161~176, 2006
- A discontinuous Galerkin method for a model of population dynamics, COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, Vol.18,No.4, 767~779, 2003
- Age-time discontinuous Galerkin method for the Lotka-Mckendrick equation, COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, Vol.18,No.3, 569~580, 2003
- Global boundedness of the solutions to a Gurtin-MacCamy system, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, Vol.9, 197~216, 2002
- A collocation method for the Gurtin--MacCamy equation with finite life-span, SIAM JOURNAL ON NUMERICAL ANALYSIS, Vol.39,No.6, 1914~1937, 2002
- Mixed finite element domain decomposition for nonlinear paraboloc problems, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol.40, 1061~1070, 2000
- Fully discrete mixed finite element approximations for non-darcy flows in porous media, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol.38,No.11-12, 113~129, 1999
- Asymptotic behavior for an SIS epidemic model and its approximation, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, Vol.35, 797~814, 1999
- Characteristic finite element methods for diffusive epidemic models with age-structured populations, APPLIED MATHEMATICS AND COMPUTATION, Vol.97, 55~70, 1998
- Optimal Harvesting for periodic age-dependent population dynamics, SIAM JOURNAL ON APPLIED MATHEMATICS, Vol.58,No.5, 1648~1666, 1998
- Qualitative behavior of numerical solutions to an SIS epidemic model, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Vol.14, 317~337, 1998
- Splitting methods for the numerical approximation of some models of age-structured population dynamics and epidemiology, APPLIED MATHEMATICS AND COMPUTATION, Vol.87,No.1, 69~93, 1997
- The p-version of the mixed finite element method for nonlinear second order elliptic problems, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Vol.12,No.1, 1996
- A time discretization for mixed approximation of generalized Forchheimer flow in porous media, ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 493~494, 1996
- A lumped mass finite element method with quadrature for a model of population dynamics with nonlinear diffusion, ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 441~442, 1996
- Galerkin Methods for a model of population dynamics with nonlinear diffusion, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Vol.12, 59~73, 1996
- Existence of steady state solutions to an epidemic model with screening and their asymptotic stability, APPLIED MATHEMATICS AND COMPUTATION, Vol.74,No.1, 37~58, 1996
- Some observation s on mixed methods for fully nonlinear parabolic problems in divergence form, APPLIED MATHEMATICS LETTERS, Vol.9,No.1, 75~81, 1996
- Mixed approximation of a population diffusion equation, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol.30,No.12, 23~33, 1995
- An upwind scheme for a nonlinear model in age structured population dynamics, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol.30,No.8, 5~17, 1995
- A Mathematical model of epidemics with screening and variable infectivity , MATHEMATICAL AND COMPUTER MODELLING, Vol.21,No.7, 29~42, 1995
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Books
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Book Chapters
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Patents
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Citation and Awards