A FAST SPECTRAL ALGORITHM FOR THE QUANTUM BOLTZMANN COLLISION OPERATOR

Jingwei Hu, Lexing Ying

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

his paper introduces a fast spectral algorithm for the quantum Boltzmann collision operator. In the usual spectral framework, one of the terms in the operator cannot be evaluated efficiently. The new approach is based on the fundamental property of the exponential function which allows one to construct a new decomposition of the collision kernel to speed up the computation. Numerical results in 2-D and 3-D for both the Bose gas and the Fermi gas are presented to illustrate the accuracy and efficiency of the method.
Original languageEnglish (US)
Pages (from-to)989-999
Number of pages11
JournalCOMMUNICATIONS IN MATHEMATICAL SCIENCES
Volume10
Issue number3
DOIs
StatePublished - 2012
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics(all)

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