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High resolution fin...
High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures
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- Ackleh, Azmy S. (author)
- University of Louisiana at Lafayette, USA
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- Lyons, Rainey (author)
- Karlstads universitet,Institutionen för matematik och datavetenskap (from 2013)
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- Saintier, Nicolas (author)
- Universidad de Buenos Aires, Argentina
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(creator_code:org_t)
- American Institute of Mathematical Sciences, 2023
- 2023
- English.
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In: Mathematical Biosciences and Engineering. - : American Institute of Mathematical Sciences. - 1547-1063 .- 1551-0018. ; 20:7, s. 11805-11820
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Abstract
Subject headings
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- In this paper, we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model formulated on the space of Radon measures. We prove the convergence of each of the two schemes to the unique weak solution of the model. We perform numerical simulations to demonstrate that the second order accuracy in the Bounded-Lipschitz norm is achieved by both schemes.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Coagulation-fragmentation equation
- size structured populations
- radon measures equipped with Bounded-Lipschitz Norm
- finite difference schemes
- high resolution methods
- Matematik
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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