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Time-Dependent Generalized Perturbation Theory for Coupled Neutron-Nuclide Problems

E. Greenspan, M. L. Williams, J. H. Marable

Nuclear Science and Engineering

Volume 73 / Number 2 / February 1980 / Pages 210-218


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A generalized time-dependent nonlinear perturbation theory for coupled fields of neutrons, nuclides, and delayed neutron precursors is presented in a unified, yet detailed, formulation for diverse areas of applications, including depletion analysis, xenon poisoning, reactor kinetics, and pulsed neutron problems. Several applications of this formulation are discussed including cross-section sensitivity analysis and reactor design and operation sensitivity analysis.

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