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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.14 No.3
- 발행연도
- 2010.8
- 수록면
- 189 - 200 (12page)
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초록· 키워드
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A numerical method is proposed and analyzed to approximate a mathematical model of age-dependent population dynamics with spatial diffusion. The model takes a form of nonlinear and nonlocal system of integro-differential equations. A finite difference method along the characteristic age-time direction is considered and primal mixed finite elements are used in the spatial variable. A priori error estimates are derived for the relevant variables.
목차
ABSTRACT
1. INTRODUCTION
2. A PRIMAL MIXED FINITE ELEMENT APPROXIMATION
3. L²-ERROR ESTIMATE
REFERENCES
참고문헌 (43)
참고문헌 신청
1. [학술지(정기간행물)] - S. Anita / 1998 / Optimal harvesting for periodic age-dependent population dynamics / SIAM J. Appl. Math 58 : 1648 ~ 1666
2. [학위논문] - B. Ayati / 1998 / Methods for Computational Population Dynamics / 박사 / University of Chicago
3. [학술지(정기간행물)] - B. Ayati / 2000 / A variable time step method for an age-dependent population model with non- linear diffusion / SIAM Journal of Numerical Analysis 37 (5) : 1571 ~ 1589
4. [학술지(정기간행물)] - B. Ayati / 2002 / Galerkin Methods in Age and Space for a Population Model with Nonlinear Diffusion / SIAM J. Numerical Analysis 40 (3) : 1064 ~ 1076
5. [학술지(정기간행물)] - B. Ayati / 2009 / Mollified birth in natural-age-grid Galerkin methods for age-structured biological systems / Nonlinearity 22 : 1983 ~ 1995
2. [학위논문] - B. Ayati / 1998 / Methods for Computational Population Dynamics / 박사 / University of Chicago
3. [학술지(정기간행물)] - B. Ayati / 2000 / A variable time step method for an age-dependent population model with non- linear diffusion / SIAM Journal of Numerical Analysis 37 (5) : 1571 ~ 1589
4. [학술지(정기간행물)] - B. Ayati / 2002 / Galerkin Methods in Age and Space for a Population Model with Nonlinear Diffusion / SIAM J. Numerical Analysis 40 (3) : 1064 ~ 1076
5. [학술지(정기간행물)] - B. Ayati / 2009 / Mollified birth in natural-age-grid Galerkin methods for age-structured biological systems / Nonlinearity 22 : 1983 ~ 1995
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UCI(KEPA) : I410-ECN-0101-2012-410-003695784