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 develop a spectral method for the spatially homogeneous Boltzmann equationusing Burnett polynomials in the basis functions. Using the sparsity of thecoefficients in the expansion of the collision term, the computational cost isreduced by one order of magnitude for general collision kernels and by twoorders of magnitude for Maxwell molecules. The proposed method can coupleseamlessly with the BGK-type modelling techniques to make future applicationsaffordable. The implementation of the algorithm is discussed in detail,including a numerical scheme to compute all the coefficients accurately, andthe design of the data structure to achieve high cache hit ratio. Numericalexamples are provided to demonstrate the accuracy and efficiency of our method

Burnett Spectral Method for the Spatially Homogeneous Boltzmann Equation