A Fourth-order 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 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. 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 a specific example of a fourth-order method based on composite Newton-Cotes quadratures for a size-structured population model. Dipartimento di Matematica, Università degli Studi di Trento, via Sommarive 14, 38050 Povo (TN), Italy Lawrence Livermore National Laboratory, L-561, Livermore, CA 94551. Department of Mathematics, Purdue University, 150 North University Street, West Lafayette, IN 47907-2067
منابع مشابه
A High-accuracy Method for Numerical Integration of Age- and Size-structured Population Models
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. Si...
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