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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.

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Half-space kinetic equations with general boundary conditions
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by Qin Li, Jianfeng Lu and Weiran Sun PDF
Math. Comp. 86 (2017), 1269-1301 Request permission


We study half-space linear kinetic equations with general boundary conditions that consist of both given incoming data and various types of reflections, extending our previous work on half-space equations with incoming boundary conditions. As in our previous work, the main technique is a damping adding-removing procedure. We establish the well-posedness of linear (or linearized) half-space equations with general boundary conditions and quasi-optimality of the numerical scheme. The numerical method is validated by examples including a two-species transport equation, a multi-frequency transport equation, and the linearized BGK equation in 2D velocity space.
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Additional Information
  • Qin Li
  • Affiliation: Department of Mathematics, University of Wisconsin-Madison, 480 Lincoln Drive, Madison, Wisconsin 53705
  • MR Author ID: 1016753
  • Email:
  • Jianfeng Lu
  • Affiliation: Departments of Mathematics, Physics, and Chemistry, Duke University, Box 90320, Durham, North Carolina 27708
  • MR Author ID: 822782
  • ORCID: 0000-0001-6255-5165
  • Email:
  • Weiran Sun
  • Affiliation: Department of Mathematics, Simon Fraser University, 8888 University Drive, Burnaby, British Columbia V5A 1S6, Canada
  • Received by editor(s): September 9, 2015
  • Received by editor(s) in revised form: December 2, 2015
  • Published electronically: October 12, 2016
  • Additional Notes: The research of the first author was supported in part by the AFOSR MURI grant FA9550-09-1-0613 and the National Science Foundation under award DMS-1318377
    The research of the second author was supported in part by the Alfred P. Sloan Foundation and the National Science Foundation under award DMS-1312659 and DMS-1454939
    The research of the third author was supported in part by the Simon Fraser University President’s Research Start-up Grant PRSG-877723 and NSERC Discovery Individual Grant #611626
  • © Copyright 2016 American Mathematical Society
  • Journal: Math. Comp. 86 (2017), 1269-1301
  • MSC (2010): Primary 35Q20; Secondary 65N35
  • DOI:
  • MathSciNet review: 3614018