Actions for The use of symbolic computation in radiative, energy, and neutron transport calculations. Technical report, 15 August 1992--14 August 1994 [electronic resource].

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The use of symbolic computation in radiative, energy, and neutron transport calculations. Technical report, 15 August 1992--14 August 1994 [electronic resource].

Published
Washington, D.C. : United States. Dept. of Energy, 1995.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
21 pages : digital, PDF file
Additional Creators
Florida International University, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
This investigation uses symbolic computation in developing analytical methods and general computational strategies for solving both linear and nonlinear, regular and singular, integral and integro-differential equations which appear in radiative and combined mode energy transport. This technical report summarizes the research conducted during the first nine months of the present investigation. The use of Chebyshev polynomials augmented with symbolic computation has clearly been demonstrated in problems involving radiative (or neutron) transport, and mixed-mode energy transport. Theoretical issues related to convergence, errors, and accuracy have also been pursued. Three manuscripts have resulted from the funded research. These manuscripts have been submitted to archival journals. At the present time, an investigation involving a conductive and radiative medium is underway. The mathematical formulation leads to a system of nonlinear, weakly-singular integral equations involving the unknown temperature and various Legendre moments of the radiative intensity in a participating medium. Some preliminary results are presented illustrating the direction of the proposed research.
Report Numbers
E 1.99:doe/er/25138--t1
doe/er/25138--t1
Subject(s)
Other Subject(s)
Note
Published through SciTech Connect.
06/01/1995.
"doe/er/25138--t1"
"DE95013078"
Frankel, J.I.
Funding Information
FG05-92ER25138
View MARC record | catkey: 14115246