A High-accuracy Method for Numerical Integration of Age- and Size-structured Population Models
نویسندگان
چکیده
In many applications of ageand size-structured population models, there is an interest is 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. Since quadratures can be designed with any order of accuracy, one can obtain numerical approximations of the solutions with very fast convergence. In this paper we present a general framework and somewhat general methods, as well as a specific example of a fourth-order method based on composite Newton-Cotes quadratures.
منابع مشابه
A Fourth-order Method for Numerical Integration of Age- and Size-structured Population Models
In many applications of ageand 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. Si...
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