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.References
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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