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Numerical Improvements of the Exact Kernel Method in Transport Theory

Numerical Improvements of the Exact Kernel Method in Transport Theory AbstractThe formalism of the exact DSN method, also called the I* method, is recalled. A fully analytical integration is proposed to compute the three-dimensional array I*(k, l, m), which is the crucial point of such a theory. Comparisons with the numerical quadratures proposed so far show that a significant CPU time savings is achieved (a factor of 1000 for S8), and, moreover, a few symmetry properties relax the storage requirements by a factor of ∼4. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nuclear Science and Engineering Taylor & Francis

Numerical Improvements of the Exact Kernel Method in Transport Theory

Ligou, Jacques; Miazza, Patrick
Nuclear Science and Engineering , Volume 99 (2): 9 – Jun 1, 1988
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Numerical Improvements of the Exact Kernel Method in Transport Theory

Ligou, Jacques; Miazza, Patrick
Nuclear Science and Engineering , Volume 99 (2): 9 – Jun 1, 1988

Abstract

AbstractThe formalism of the exact DSN method, also called the I* method, is recalled. A fully analytical integration is proposed to compute the three-dimensional array I*(k, l, m), which is the crucial point of such a theory. Comparisons with the numerical quadratures proposed so far show that a significant CPU time savings is achieved (a factor of 1000 for S8), and, moreover, a few symmetry properties relax the storage requirements by a factor of ∼4.

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References (2)

Publisher
Taylor & Francis
Copyright
Copyright © Taylor & Francis Group, LLC
ISSN
1943-748x
eISSN
0029-5639
DOI
10.13182/NSE88-A23551
Publisher site
See Article on Publisher Site

Abstract

AbstractThe formalism of the exact DSN method, also called the I* method, is recalled. A fully analytical integration is proposed to compute the three-dimensional array I*(k, l, m), which is the crucial point of such a theory. Comparisons with the numerical quadratures proposed so far show that a significant CPU time savings is achieved (a factor of 1000 for S8), and, moreover, a few symmetry properties relax the storage requirements by a factor of ∼4.

Journal

Nuclear Science and Engineering – Taylor & Francis

Published: Jun 1, 1988

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