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Individualized Dose-volume Reconstruction Workflow for the Normal Tissues of Pediatric Patients Treated with Passive Scattering Proton Therapy. [PDF]
Griffin KT +15 more
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Comparison of time-of-flight and MIEZE neutron spectroscopy of H<sub>2</sub>O. [PDF]
Beddrich L +9 more
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On the stochastic nonlinear neutron transport equation
SynopsisThe probability that a neutron leads to a divergent chain reaction in a nuclear reactor is governed by a nonlinear integro-partial-differential equation [1]. A model case of this equation was completely analysed by Pazy and Rabinowitz [2,3].
Mustapha Mokhtar-Kharroubi
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Stability of P_2 Methods for Neutron Transport Equation
Journal of Partial Differential Equations, 2002Summary: The \(P_2\) approximation to the one-group planar neutron transport theory is discussed. The stability of the solutions for \(P_2\) equations with general boundary conditions, including the Marshak boundary condition, is proved. Moreover, the stability of the upwind difference scheme for the \(P_2\) equation is demonstrated.
Yuan, Guangwei +3 more
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Transport equation with delayed neutrons
Transport Theory and Statistical Physics, 1990Abstract In nuclear fission reactor, the decay constant of delayed neutron will often determine the time behavior of the neutron population in a subcritical system or supercritical system or in a critical system in which a neutron source or cross section change with time.
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Eigenvalues of the neutron transport equation
Proceedings of the Physical Society, 1965Results are given of the eigenvalues obtained for the neutron pulsed-source and diffusion-length problems using the gas kernel. Three methods of solution are reported: the diffusion approximation, the spherical harmonic (P3) approximation and the B0 approximation.
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Optimized Eigenvalue Solvers for the Neutron Transport Equation
2018A discrete ordinates method has been developed to approximate the neutron transport equation for the computation of the lambda modes of a given configuration of a nuclear reactor core. This method is based on discrete ordinates method for the angular discretization, resulting in a very large and sparse algebraic generalized eigenvalue problem.
Antoni Vidal-Ferràndiz +4 more
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Numerical solution of the neutron transport equation
Journal of Nuclear Energy, 1969Abstract An outline of a procedure for directly solving the singular integral form of the one-speed neutron transport equation is given. The procedure is illustrated by considering the Milne problem and a one-region critical problem. Examples of numerical results obtained for these two problems are presented.
R.L. Bowden, A.G. Bullard
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A family of transport equations in neutron transport theory
Annals of Nuclear Energy, 1991Abstract The backward formulation of problems in neutron transport is considered. Boundary conditions are developed from the adjoint system which in turn is rigorously obtained from a variational principle. The variational principle is derived by constraining the flux with the forward transport equation and affiliated boundary/initial conditions ...
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