Abstract
In many applications of age- and size-structured population models, there is an interest in obtaining good approximations of total population numbers rather than of their densities. Therefore, it is reasonable in such cases to solve numerically not the PDE model equations themselves, but rather their integral equivalents. For this purpose quadrature formulae are used in place of the integrals. Because quadratures can be designed with any order of accuracy, one can obtain numerical approximations of the solutions with very fast convergence. In this article, we present a general framework and a specific example of a fourth-order method based on composite Newton-Cotes quadratures for a size-structured population model.
Original language | English (US) |
---|---|
Pages (from-to) | 918-930 |
Number of pages | 13 |
Journal | Numerical Methods for Partial Differential Equations |
Volume | 25 |
Issue number | 4 |
DOIs | |
State | Published - Jul 2009 |
Externally published | Yes |
Keywords
- Finite differences
- Quadratures
- Size-structured equations
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics