# Fourth-Order Method for Numerical Integration of Age- and Size-Structured Population Models

### Description

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 ... continued below

### Physical Description

PDF-file: 23 pages; size: 0.2 Mbytes

### Creation Information

Iannelli, M; Kostova, T & Milner, F A January 8, 2008.

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## What

### Description

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.

### Physical Description

PDF-file: 23 pages; size: 0.2 Mbytes

### Source

• Journal Name: Numeical Method for Partial Differential Equations, online, Early view, September 1, 2008, pp. 000-000

### Identifier

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• Report No.: LLNL-JRNL-400433
• Grant Number: W-7405-ENG-48
• Office of Scientific & Technical Information Report Number: 944312

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## When

### Creation Date

• January 8, 2008

### Added to The UNT Digital Library

• Sept. 27, 2016, 1:39 a.m.

### Description Last Updated

• Dec. 5, 2016, 4:17 p.m.

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