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An initial value method for the Ambarzumian integral equation.It is shown that a general class of nonlinear integral equations may be transformed into a Cauchy system. That this leads to an effective numerical scheme is demonstrated by solving the Ambarzumian integral equation. The new method does not involve successive approximations or series expansions.
Document ID
19720047223
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
doi:10.1016/0022-4073(72)90066-0
Authors
Buell, J.
Kalaba, R. (Southern California, University Los Angeles, Calif., United States)
Fymat, A. (California Institute of Technology, Jet Propulsion Laboratory, Pasadena Calif., United States)
Date Acquired
August 6, 2013
Publication Date
May 1, 1972
Publication Information
Publication: Journal of Quantitative Spectroscopy and Radiative Transfer
Volume: 12
Subject Category
Mathematics
Accession Number
72A30889
Distribution Limits
Public
Copyright
Other

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