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An analysis of the numerical solution of Fredholm integral equations of the first kind (1978)

Lee, J. W. ; Prenter, P. M.

Springer

Numerische Mathematik 30 (1978), S. 1-23

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Details

ISSN: 0945-3245

Schlagwort(e): AMS(MOS): 63R05 ; CR: 5.18

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01403903

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