주요학술논문

- hp-discontinuous Galerkin methods for the Lotka-Mckendrick equation: A numerical study, 대한수학회논문집(Communications of the Korean Mathematical Society), 22, no. 4, pp623-640, 2007.
- A multiscale mortar mixed finite element method for slightly compressible flows in porous media, JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, vol. 44, no. 5, pp1103-1119, 2007.
- Uniqueness and stability of positive periodic numerical solution of an epidemic model, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B , vol. 7, no 2, pp365-375, 2007.
- Stabilized discontinuous Galerkin methods for scalar linear hyperbolic equations, APPLIED MATHEMATICS AND COMPUTATION, vol. 182, no. 2, pp1623-1628, 2006.
- Global dynamics of approximate solutions to an age-structured epidemic model with diffusion, ADVANCES IN COMPUTATIONAL MATHEMATICS, vol. 25, no. 4, pp451-474, 2006.
- Long--time stability of numerical solutions to Gurtin-MacCamy equations by method of characteristics, APPLIED MATHEMATICS AND COMPUTATION, 176, pp552-562, 2006.
- Discontinuous Galerkin methods for a model of population dynamics with unbounded mortality, SIAM JOURNAL ON SCIENTIFIC COMPUTING, v. 27, no. 4, pp1371-1393, 2006.
- Discontinuous Galerkin methods for the Lotka-Mckendrick equation with finite life-span, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, vol. 16, no. 2, pp161-176, 2006.
- A discontinuous Galerkin method for a model of population dynamics, COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, Vol.18, No.4, pp767-779, 2003.
- Age-time discontinuous Galerkin method for the Lotka-Mckendrick equation, COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, Vol.18, No.3, pp569-580, 2003.
- Global boundedness of the solutions to a Gurtin-MacCamy system, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, Vol. 9, pp197-216, 2002.
- A collocation method for the Gurtin--MacCamy equation with finite life-span, SIAM JOURNAL ON NUMERICAL ANALYSIS, Vol. 39, No. 6, pp1914-1937, 2002.
- Mixed finite element domain decomposition for nonlinear paraboloc problems, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol. 40, pp1061-1070, 2000.
- Fully discrete mixed finite element approximations for non-darcy flows in porous media, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol.38, No. 11-12, pp113-129, 1999.
- Asymptotic behavior for an SIS epidemic model and its approximation, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, Vol. 35, pp797-814, 1999.
- Characteristic finite element methods for diffusive epidemic models with age-structured populations, APPLIED MATHEMATICS AND COMPUTATION, Vol. 97, pp55-70, 1998.
- Optimal Harvesting for periodic age-dependent population dynamics, SIAM JOURNAL ON APPLIED MATHEMATICS, Vol.58, No.5, pp1648-1666, 1998.
- Qualitative behavior of numerical solutions to an SIS epidemic model, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Vol. 14, pp317-337, 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, pp69-93, 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, pp, 1996.
- A time discretization for mixed approximation of generalized Forchheimer flow in porous media, ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, , pp493-494, 1996.
- A lumped mass finite element method with quadrature for a model of population dynamics with nonlinear diffusion, ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, , pp441-442, 1996.
- Galerkin Methods for a model of population dynamics with nonlinear diffusion, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Vol. 12, pp59-73, 1996.
- Existence of steady state solutions to an epidemic model with screening and their asymptotic stability, APPLIED MATHEMATICS AND COMPUTATION, Vol.74, No.1, pp37-58, 1996.
- Some observation s on mixed methods for fully nonlinear parabolic problems in divergence form, APPLIED MATHEMATICS LETTERS, Vol. 9, No.1, pp75-81, 1996.
- Mixed approximation of a population diffusion equation, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol. 30, No.12, pp23-33, 1995.
- An upwind scheme for a nonlinear model in age structured population dynamics, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol. 30, No.8, pp5-17, 1995.
- A Mathematical model of epidemics with screening and variable infectivity , MATHEMATICAL AND COMPUTER MODELLING, Vol. 21, No.7, pp29-42, 1995.

 

 

주소: 인천 광역시 남구 용현동 253 인하대학교 수학과 5북 220호 우편번호: 402-751