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Interpolation correction for collocation solutions of Fredholm integro-differential equations
Author(s):
Qiya
Hu.
Journal:
Math. Comp.
67
(1998),
987-999.
MSC (1991):
Primary 65B10, 45D05, 65R20
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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  . 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:
10.1090/S0025-5718-98-00956-9
PII:
S 0025-5718(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
Copyright of article:
Copyright
1998,
American Mathematical Society
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