Abstract
The present paper extends the synthetic method of transport theory to a large class of integral equations. Convergence and divergence properties of the algorithm are studied analytically, and numerical examples are presented which demonstrate the expected theoretical behavior. It is shown that, in some instances, the computational advantage over the familiar Neumann approach is substantial.
The authors acknowledge with pleasure conversations with Paul Nelson. Thanks are due also to Janet E. Wing, whose computer program was used in making the calculations reported in Section 8.
This work was performed in part under the auspices of USERDA at the Los Alamos Scientific Laboratory of the University of California, Los Alamos, New Mexico.
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References
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Allen, R.C., Wing, G.M. (1979). A Method for Accelerating the Iterative Solution of a Class of Fredholm Integral Equations. 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_2
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DOI: https://doi.org/10.1007/978-1-4757-1466-1_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-1468-5
Online ISBN: 978-1-4757-1466-1
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