Abstract
Using the method of functional analysis, we have established a rigorous mathematical treatment of multigroup approximation for neutron transport. It is proved that in L p (1≤ p < ∞) the solution of the multigroup transport equation converges to the corresponding solution of the exact transport equation [speed (or energy) variable is not discretized], that the eigenvalues spectrum of the exact transport operator can be approximated by the eigenvalues spectrum of multigroup transport operator, and that the nonnegative eigenfunction of the multigroup transport operator converges to the corresponding nonnegative eigenfunction of the exact transport operator. The order of the magnitude of the rates of convergence is also indicated.
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