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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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Interpolation correction for collocation solutions of Fredholm integro-differential equations
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by Qiya Hu PDF
Math. Comp. 67 (1998), 987-999 Request permission

Abstract:

In this paper we discuss the collocation method for a large class of Fredholm linear integro-differential equations. It will be shown that, when a certain higher order interpolation operation is added to the collocation solution of this equation, the new approximations will, under suitable assumptions, admit a multiterm error expansion in even powers of the step-size $h$. Based on this expansion, ideal multilevel correction results of this collocation solution are obtained.
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Additional Information
  • Qiya Hu
  • Affiliation: Institute of Mathematics, Chinese Academy of Science, Beijing 100080, China
  • Received by editor(s): January 10, 1995
  • Received by editor(s) in revised form: August 9, 1995, and October 22, 1996
  • Additional Notes: This work was partially supported by the National Science Foundation
  • © Copyright 1998 American Mathematical Society
  • Journal: Math. Comp. 67 (1998), 987-999
  • MSC (1991): Primary 65B10, 45D05, 65R20
  • DOI: https://doi.org/10.1090/S0025-5718-98-00956-9
  • MathSciNet review: 1464145