Numerical simulations of large nonlinear dynamical systems, especially over long-time intervals, may be computationally very expensive. Model reduction methods have been used in this context for a long time, usually projecting the dynamical system onto a sub-space of its phase space. Nonlinear Galer
β¦ LIBER β¦
Nonlinear model reduction for dynamic analysis of cell population models
β Scribed by Yongchun Zhang; Michael A. Henson; Yannis G. Kevrekidis
- Book ID
- 108311100
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 463 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0009-2509
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A numerical method is proposed to approximate the solution of a nonlinear and nonlocal system of integro-differential equations describing age-dependent population dynamics with spatial diffusion. We use a finite difference method along the characteristic age-time direction combined with finite elem