ISSN:
0945-3245
Keywords:
AMS(MOS): 63R05
;
CR: 5.18
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary This paper analyzes the numerical solution of Fredholm integral equations of the first kindTx=y by means of finite rank and other approximation methods replacingTx=y byT N x=y N ,N=1,2, .... The operatorsT andT N can be viewed as operators from eitherL 2[a, b] toL 2[c,d] or as operators fromL ∞[a, b] toL ∞[c, d]. A complete analysis of the fully discretized problem as compared with the continuous problemTx=y is also given. The filtered least squares minimum norm solutions (LSMN) to the discrete problem and toT N x=y are compared with the LSMN solution ofTx=y. Rates of convergence are included in all cases and are in terms of the mesh spacing of the quadrature for the fully discretized problem.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01403903
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