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Abstract
The present paper deals with the mathematical analysis of the approximation of a general class of steady neutron transport equations in bounded domains. The integro-differential transport equation is converted into a Fredholm equation of second kind and approximated by a projection method. General compactness results [1] enable us to prove, in a general setting, the convergence for the graph norm of the approximate solution to the exact one. Under further assumptions, rates of convergence, based on Sobolev regularity results [2], are given.