| 来源类型 | Monograph (IIASA Interim Report) |
| 规范类型 | 报告 |
| On the convergence of the Escalator Boxcar Train. | |
| Brannstrom Å; Carlsson L; Simpson D | |
| 发表日期 | 2013 |
| 出版者 | IIASA, Laxenburg, Austria: IR-13-023 |
| 出版年 | 2013 |
| 语种 | 英语 |
| 摘要 | The Escalator Boxcar Train (EBT) is a numerical method that is widely used in theoretical biology to investigate the dynamics of physiologically structured population models, i.e., models in which individuals differ by size or other physiological characteristics. The method was developed more than two decades ago, but has so far resisted attempts to give a formal proof of convergence. Using a modern framework of measure-valued solutions, we investigate the EBT method and show that the sequence of approximating solution measures generated by the EBT method converges weakly to the true solution measure under weak conditions on the growth rate, birth rate, and mortality rate. In rigorously establishing the convergence of the EBT method, our results pave the way for wider acceptance of the EBT method beyond theoretical biology and constitutes an important step towards integration with established numerical schemes. |
| 主题 | Evolution and Ecology (EEP) |
| URL | http://pure.iiasa.ac.at/id/eprint/10737/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/125963 |
| 推荐引用方式 GB/T 7714 | Brannstrom Å,Carlsson L,Simpson D. On the convergence of the Escalator Boxcar Train.. 2013. |
| 条目包含的文件 | ||||||
| 文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
| IR-13-023.pdf（193KB） | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 | ||
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