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Interpolation correction for collocation solutions of Fredholm integro-differential equations


Author: Qiya Hu
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
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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

DOI: https://doi.org/10.1090/S0025-5718-98-00956-9
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
Article copyright: © Copyright 1998 American Mathematical Society

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