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Nuclear Science and Engineering Volume 152, 2006 - Issue 2
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Technical Paper

Variational Estimates of Internal Interface Perturbations and a New Variational Functional for Inhomogeneous Transport Problems

Jeffrey A. FavoriteLos Alamos National Laboratory Applied Physics (X) Division, Diagnostics Applications (X-5) Group, MS F663 Los Alamos, New Mexico 87545
Pages 180-196 | Published online: 10 Apr 2017

References

  • E. W. LARSEN and G. C. POMRANING, “Boundary Perturbation Theory,” Nucl. Sci. Eng., 77, 415 (1981).
  • F. RAHNEMA, “Internal Interface Perturbations in Neutron Transport Theory,” Nucl. Sci. Eng., 86, 76 (1984).
  • F. RAHNEMA, “On the Internal Interface Perturbation,” Ann. Nucl. Energy, 23, 1401 (1996).
  • H. N. M. GHEORGHIU and F. RAHNEMA, “Generalized Rayleigh Quotients for Eigenvalue Estimates of Neutron Balance Equations,” Nucl. Sci. Eng., 125, 314 (1997).
  • H. N. M. GHEORGHIU and F. RAHNEMA, “Variational Principles for Steady-State Neutron Flux Functionals,” Transp. Theory Stat. Phys., 27, 67 (1998).
  • M. S. McKINLEY and F. RAHNEMA, “High-Order Boundary Condition Perturbation Theory for the Neutron Transport Equation,” Nucl. Sci. Eng., 140, 285 (2002).
  • F. RAHNEMA and G. C. POMRANING, “Boundary Perturbation Theory for Inhomogeneous Transport Equations,” Nucl. Sci. Eng., 84, 313 (1983).
  • D. ILAS and F. RAHNEMA, “A Heterogeneous Coarse Mesh Transport Method,” Transp. Theory Stat. Phys., 32, 445 (2003).
  • G. I. BELL and S. GLASSTONE, Nuclear Reactor Theory, Chap. 6, Krieger Publishing Company, Malabar, Florida (1970).
  • W. M. STACEY, Nuclear Reactor Physics, Chap. 13, John Wiley & Sons, Inc., New York (2001).
  • W. M. STACEY, Variational Methods in Nuclear Reactor Physics, Chap. 1, Academic Press, New York (1974).
  • W. M. STACEY, Variational Methods in Nuclear Reactor Physics, Chap. 3, Academic Press, New York (1974).
  • W. M. STACEY, Jr., and J. A. FAVORITE, “Variational Reactivity Estimates,” Proc. Joint Int. Conf. Mathematical Methods and Supercomputing for Nuclear Applications, Saratoga Springs, New York, October 5–9, 1997, p. 900, American Nuclear Society (1997).
  • G. C. POMRANING, “Boundary Perturbation Theory for Nonanalytic Perturbations,” Nucl. Sci. Eng., 85, 188 (1983).
  • J. A. FAVORITE, “Using the Schwinger Variational Functional for the Solution of Inverse Transport Problems,” Nucl. Sci. Eng., 146, 51 (2004).
  • R. E. ALCOUFFE, R. S. BAKER, and S. A. TURNER, “PARTISN,” LA-CC-98-62, Los Alamos National Laboratory (1997).

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