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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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Error estimation of Hermite spectral method for nonlinear partial differential equations
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by Ben-yu Guo PDF
Math. Comp. 68 (1999), 1067-1078 Request permission

Abstract:

Hermite approximation is investigated. Some inverse inequalities, imbedding inequalities and approximation results are obtained. A Hermite spectral scheme is constructed for Burgers equation. The stability and convergence of the proposed scheme are proved strictly. The techniques used in this paper are also applicable to other nonlinear problems in unbounded domains.
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Additional Information
  • Ben-yu Guo
  • Affiliation: Department of Mathematics, Shanghai University, Jiading Campus, Shanghai, 201800, China
  • Address at time of publication: Department of Mathematics, Shanghai Normal University, Shanghai, China
  • Email: byquo@quomai.sh.cn
  • Received by editor(s): October 16, 1997
  • Received by editor(s) in revised form: January 2, 1998
  • Published electronically: February 5, 1999
  • © Copyright 1999 American Mathematical Society
  • Journal: Math. Comp. 68 (1999), 1067-1078
  • DOI: https://doi.org/10.1090/S0025-5718-99-01059-5
  • MathSciNet review: 1627789