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

In this work, we derive particle schemes, based on micro-macro decomposition,for linear kinetic equations in the diffusion limit. Due to the particleapproximation of the micro part, a splitting between the transport and thecollision part has to be performed, and the stiffness of both these two partsprevent from uniform stability. To overcome this difficulty, the micro-macrosystem is reformulated into a continuous PDE whose coefficients are no longerstiff, and depend on the time step $\Delta t$ in a consistent way. Thisnon-stiff reformulation of the micro-macro system allows the use of standardparticle approximations for the transport part, and extends the work in [5]where a particle approximation has been applied using a micro-macrodecomposition on kinetic equations in the fluid scaling. Beyond the so-calledasymptotic-preserving property which is satisfied by our schemes, theysignificantly reduce the inherent noise of traditional particle methods, andthey have a computational cost which decreases as the system approaches thediffusion limit.

A particle micro-macro decomposition based numerical scheme for collisional kinetic equations in the diffusion scaling