Fourth-Order Method for Numerical Integration of Age- and Size-Structured Population Models
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.
- Research Organization:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 944312
- Report Number(s):
- LLNL-JRNL-400433
- Journal Information:
- Numeical Method for Partial Differential Equations, online, Early view, September 1, 2008, pp. 000-000, Journal Name: Numeical Method for Partial Differential Equations, online, Early view, September 1, 2008, pp. 000-000
- Country of Publication:
- United States
- Language:
- English
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