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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

High order methods
for weakly singular integral equations
with nonsmooth input functions


Authors: G. Monegato and L. Scuderi
Journal: Math. Comp. 67 (1998), 1493-1515
MSC (1991): Primary 65R20
MathSciNet review: 1604395
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Abstract: To solve one-dimensional linear weakly singular integral equations on bounded intervals, with input functions which may be smooth or not, we propose to introduce first a simple smoothing change of variable, and then to apply classical numerical methods such as product-integration and collocation based on global polynomial approximations. The advantage of this approach is that the order of the methods can be arbitrarily high and that the associated linear systems one has to solve are very well-conditioned.


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Additional Information

G. Monegato
Affiliation: Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Email: monegato@polito.it

L. Scuderi
Affiliation: Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Email: scuderi@polito.it

DOI: http://dx.doi.org/10.1090/S0025-5718-98-01005-9
PII: S 0025-5718(98)01005-9
Received by editor(s): July 22, 1996
Additional Notes: This work was supported by the Ministero dell’Universitá e della Ricerca Scientifica e Tecnologica of Italy.
Dedicated: Dedicated to Professor M. R. Occorsio on the occasion of his 65th birthday
Article copyright: © Copyright 1998 American Mathematical Society