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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Fast algorithms for computing the Boltzmann collision operator
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by Clément Mouhot and Lorenzo Pareschi PDF
Math. Comp. 75 (2006), 1833-1852

Abstract:

The development of accurate and fast numerical schemes for the five-fold Boltzmann collision integral represents a challenging problem in scientific computing. For a particular class of interactions, including the so-called hard spheres model in dimension three, we are able to derive spectral methods that can be evaluated through fast algorithms. These algorithms are based on a suitable representation and approximation of the collision operator. Explicit expressions for the errors in the schemes are given and spectral accuracy is proved. Parallelization properties and adaptivity of the algorithms are also discussed.
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Additional Information
  • Clément Mouhot
  • Affiliation: UMPA, ENS Lyon, 46 allée d’Italie, 69364 Lyon Cedex 07, France
  • Email: cmouhot@umpa.ens-lyon.fr
  • Lorenzo Pareschi
  • Affiliation: Dipartimento di Matematica, Università di Ferrara, Via Machiavelli 35, 44100 Ferrara, Italy
  • Email: lorenzo.pareschi@unife.it
  • Received by editor(s): February 7, 2004
  • Received by editor(s) in revised form: March 13, 2005
  • Published electronically: July 12, 2006
  • Additional Notes: The first author was supported by the European network HYKE, funded by the EC as contract HPRN-CT-2002-00282
  • © Copyright 2006 by the authors
  • Journal: Math. Comp. 75 (2006), 1833-1852
  • MSC (2000): Primary 65T50, 68Q25, 74S25, 76P05
  • DOI: https://doi.org/10.1090/S0025-5718-06-01874-6
  • MathSciNet review: 2240637