High-order WENO scheme for polymerization-type equations*

Pierre Gabriel; Léon Matar Tine

ESAIM: Proceedings (2010)

  • Volume: 30, page 53-69
  • ISSN: 1270-900X

Abstract

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Polymerization of proteins is a biochemical process involved in different diseases. Mathematically, it is generally modeled by aggregation-fragmentation-type equations. In this paper we consider a general polymerization model and propose a high-order numerical scheme to investigate the behavior of the solution. An important property of the equation is the mass conservation. The WENO scheme is built to preserve the total mass of proteins along time.

How to cite

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Gabriel, Pierre, and Tine, Léon Matar. Bresch, D., et al, eds. " High-order WENO scheme for polymerization-type equations*." ESAIM: Proceedings 30 (2010): 53-69. <http://eudml.org/doc/251248>.

@article{Gabriel2010,
abstract = {Polymerization of proteins is a biochemical process involved in different diseases. Mathematically, it is generally modeled by aggregation-fragmentation-type equations. In this paper we consider a general polymerization model and propose a high-order numerical scheme to investigate the behavior of the solution. An important property of the equation is the mass conservation. The WENO scheme is built to preserve the total mass of proteins along time.},
author = {Gabriel, Pierre, Tine, Léon Matar},
editor = {Bresch, D., Calvez, V., Grenier, E., Vigneaux, P., Gerbeau, J-F.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {12},
pages = {53-69},
publisher = {EDP Sciences},
title = { High-order WENO scheme for polymerization-type equations*},
url = {http://eudml.org/doc/251248},
volume = {30},
year = {2010},
}

TY - JOUR
AU - Gabriel, Pierre
AU - Tine, Léon Matar
AU - Bresch, D.
AU - Calvez, V.
AU - Grenier, E.
AU - Vigneaux, P.
AU - Gerbeau, J-F.
TI - High-order WENO scheme for polymerization-type equations*
JO - ESAIM: Proceedings
DA - 2010/12//
PB - EDP Sciences
VL - 30
SP - 53
EP - 69
AB - Polymerization of proteins is a biochemical process involved in different diseases. Mathematically, it is generally modeled by aggregation-fragmentation-type equations. In this paper we consider a general polymerization model and propose a high-order numerical scheme to investigate the behavior of the solution. An important property of the equation is the mass conservation. The WENO scheme is built to preserve the total mass of proteins along time.
LA - eng
UR - http://eudml.org/doc/251248
ER -

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