English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We present in this paper a very adapted finite volume numerical scheme fortransport type-equation. The scheme is an hybrid one combining ananti-dissipative method with down-winding approach for the flux and an highaccurate method as the WENO5 one. The main goal is to construct a scheme ableto capture in exact way the numerical solution of transport type-equationwithout artifact like numerical diffusion or without "stairs" like oscillationsand this for any regular or discontinuous initial distribution. This kind ofnumerical hybrid scheme is very suitable when properties on the long termasymptotic behavior of the solution are of central importance in the modelingwhat is often the case in context of population dynamics where the finaldistribution of the considered population and its mass preservation relationare required for prediction.

A hybrid finite volume method for advection equations and its applications in population dynamics