NDLI: A numerical scheme for the early steps of nucleation-aggregation models

Content Provider	Springer Nature Link
Author	Doumic, Marie Banks, Harvey Thomas Kruse, Carola
Copyright Year	2016
Abstract	In the formation of large clusters out of small particles, the initializing step is called the nucleation, and consists in the spontaneous reaction of agents which aggregate into small and stable polymers called nuclei. After this early step, the polymers are involved in a number of reactions such as polymerization, fragmentation and coalescence. Since there may be several orders of magnitude between the size of a particle and the size of an aggregate, building efficient numerical schemes to capture accurately the kinetics of the reaction is a delicate step of key importance. In this article, we propose a conservative scheme, based on finite volume methods on an adaptive grid, which is capable of simulating well the early steps of the reaction as well as the later chain reactions.
Ending Page	287
Page Count	29
Starting Page	259
File Format	PDF
ISSN	03036812
e-ISSN	14321416
Journal	Journal of Mathematical Biology
Issue Number	1-2
Volume Number	74
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-05-25
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	PDEs in connection with biology and other natural sciences Asymptotic expansions Mathematical and Computational Biology Aggregation-fragmentation models Polymerization Numerical approximation of solutions First-order hyperbolic equations Applications of Mathematics Adaptive grid Finite volume schemes Finite volume methods
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Agricultural and Biological Sciences Modeling and Simulation

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