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On the convergence ...
On the convergence of the Escalator Boxcar Train
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- Brännström, Åke, 1975- (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå University
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- Carlsson, Linus, 1972- (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Int Inst Appl Syst Anal, Evolut & Ecol Program, A-2361 Laxenburg, Austria,Umeå University,Mathematics/Applied Mathematics
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- Simpson, Daniel (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Int Inst Appl Syst Anal, Evolut & Ecol Program, A-2361 Laxenburg, Austria,Umeå University
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(creator_code:org_t)
- Society for Industrial & Applied Mathematics (SIAM), 2013
- 2013
- English.
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In: SIAM Journal on Numerical Analysis. - : Society for Industrial & Applied Mathematics (SIAM). - 0036-1429 .- 1095-7170. ; 51:6, s. 3213-3231
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Abstract
Subject headings
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- 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.Read More: http://epubs.siam.org/doi/abs/10.1137/120893215
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- escalator boxcar train
- convergence
- physiologically structured population models
- measure-valued solutions
- transport equation
- particle methods
- Mathematics/Applied Mathematics
- matematik/tillämpad matematik
Publication and Content Type
- ref (subject category)
- art (subject category)
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