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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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On error estimates for Galerkin spectral discretizations of parabolic problems with nonsmooth initial data
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by Javier de Frutos and Rafael Muñoz-Sola PDF
Math. Comp. 70 (2001), 525-531 Request permission

Abstract:

We analyze the Legendre and Chebyshev spectral Galerkin semidiscretizations of a one dimensional homogeneous parabolic problem with nonconstant coefficients. We present error estimates for both smooth and nonsmooth data. In the Chebyshev case a limit in the order of approximation is established. On the contrary, in the Legendre case we find an arbitrary high order of convegence.
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Additional Information
  • Javier de Frutos
  • Affiliation: Departamento de Matemática Aplicada y Computación, Universidad de Valladolid, Valladolid, Spain
  • Email: frutos@mac.cie.uva.es
  • Rafael Muñoz-Sola
  • Affiliation: Departamento de Matemática Aplicada, Universidad de Santiago de Compostela, Santiago de Compostela, Spain
  • Email: rafa@zmat.usc.es
  • Received by editor(s): January 4, 1999
  • Received by editor(s) in revised form: April 6, 1999
  • Published electronically: March 1, 2000
  • Additional Notes: J. de Frutos was partially supported by project DGICYT PB95-705 and project JCyL VA52/96. R. Muñoz-Sola was partially supported by project DGICYT PB96-0952.
  • © Copyright 2000 American Mathematical Society
  • Journal: Math. Comp. 70 (2001), 525-531
  • MSC (2000): Primary 65M70, 65M15
  • DOI: https://doi.org/10.1090/S0025-5718-00-01195-9
  • MathSciNet review: 1680871