Abstract
The method of weighted cross-validation is applied to the problem of solving linear integral equations of the first kind with noisy data. Numerical results illustrating its efficacy are given for estimating derivatives and for solving Fujita’s equation.
This work was supported by the United States Air Force under Grant No. AF-AFOSR-773272 and the Office of Naval Research under Grant No. N00014-77-C-0675.
This paper contains some aspects of joint work with Peter Craven, Gene Golub, Mike Smith, and Svante Wold.
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© 1979 Springer Science+Business Media New York
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Wahba, G. (1979). Smoothing and Ill-Posed Problems. In: Golberg, M.A. (eds) Solution Methods for Integral Equations. Mathematical Concepts and Methods in Science and Engineering, vol 18. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1466-1_7
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DOI: https://doi.org/10.1007/978-1-4757-1466-1_7
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