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/

Zendy Plus

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

Zendy Tools

Zendy Open

The aim of this paper is to describe a Matlab toolbox, called $\mu$-diff, formodeling and numerically solving two-dimensional complex multiple scattering bya large collection of circular cylinders. The approximation methods in$\mu$-diff are based on the Fourier series expansions of the four basicintegral operators arising in scattering theory. Based on these expressions, anefficient spectrally accurate finite-dimensional solution of multiplescattering problems can be simply obtained for complex media even when manyscatterers are considered as well as large frequencies. The solution of theglobal linear system to solve can use either direct solvers or preconditionediterative Krylov subspace solvers for block Toeplitz matrices. Based on thisapproach, this paper explains how the code is built and organized. Somecomplete numerical examples of applications (direct and inverse scattering) areprovided to show that $\mu$-diff is a flexible, efficient and robust toolboxfor solving some complex multiple scattering problems.

$\mu$-diff: an open-source Matlab toolbox for computing multiple scattering problems by disks