全球智库信息集成服务系统(G2TT): On the convergence of the Escalator Boxcar Train.

G2TT

来源类型	Article
规范类型	其他
DOI	10.1137/120893215
	On the convergence of the Escalator Boxcar Train.
	Brannstrom Å; Carlsson L; Simpson D
发表日期	2013
出处	SIAM Journal on Numerical Analysis 51 (6): 3213-3231
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/10330/
来源智库	International Institute for Applied Systems Analysis (Austria)
引用统计
资源类型	智库出版物
条目标识符	http://119.78.100.153/handle/2XGU8XDN/129675
推荐引用方式 GB/T 7714	Brannstrom Å,Carlsson L,Simpson D. On the convergence of the Escalator Boxcar Train.. 2013.